Indeterminism of quantum mechanics is considered as an immediate corollary from the theorems about absence of hidden variables in it, and first of all, the Kochen – Specker theorem. The base postulate of quantum mechanics formulated by Niels Bohr that it studies the system of an investigated microscopic quantum entity and the macroscopic apparatus described by the smooth equations of classical mechanics by the readings of the latter implies as a necessary condition of quantum mechanics the absence (...) of hidden variables, and thus, quantum indeterminism. Consequently, the objectivity of quantum mechanics and even its possibility and ability to study its objects as they are by themselves imply quantum indeterminism. The so-called free-will theorems in quantum mechanics elucidate that the “valuable commodity” of free will is not a privilege of the experimenters and human beings, but it is shared by anything in the physical universe once the experimenter is granted to possess free will. The analogical idea, that e.g. an electron might possess free will to “decide” what to do, scandalized Einstein forced him to exclaim (in a letter to Max Born in 2016) that he would be а shoemaker or croupier rather than a physicist if this was true. Anyway, many experiments confirmed the absence of hidden variables and thus quantum indeterminism in virtue of the objectivity and completeness of quantum mechanics. Once quantum mechanics is complete and thus an objective science, one can ask what this would mean in relation to classical physics and its objectivity. In fact, it divides disjunctively what possesses free will from what does not. Properly, all physical objects belong to the latter area according to it, and their “behavior” is necessary and deterministic. All possible decisions, on the contrary, are concentrated in the experimenters (or human beings at all), i.e. in the former domain not intersecting the latter. One may say that the cost of the determinism and unambiguous laws of classical physics, is the indeterminism and free will of the experimenters and researchers (human beings) therefore necessarily being out of the scope and objectivity of classical physics. This is meant as the “deterministic subjectivity of classical physics” opposed to the “indeterminist objectivity of quantum mechanics”. (shrink)

If the concept of “free will” is reduced to that of “choice” all physical world shares the latter quality. Anyway the “free will” can be distinguished from the “choice”: The “free will” involves implicitly a certain goal, and the choice is only the mean, by which the aim can be achieved or not by the one who determines the target. Thus, for example, an electron has always a choice but not free will (...) unlike a human possessing both. Consequently, and paradoxically, the determinism of classical physics is more subjective and more anthropomorphic than the indeterminism of quantum mechanics for the former presupposes certain deterministic goal implicitly following the model of human freewill behavior. Quantum mechanics introduces the choice in the fundament of physical world involving a generalized case of choice, which can be called “subjectless”: There is certain choice, which originates from the transition of the future into the past. Thus that kind of choice is shared of all existing and does not need any subject: It can be considered as a low of nature. There are a few theorems in quantum mechanics directly relevant to the topic: two of them are called “free will theorems” by their authors (Conway and Kochen 2006; 2009). Any quantum system either a human or an electron or whatever else has always a choice: Its behavior is not predetermined by its past. This is a physical law. It implies that a form of information, the quantum information underlies all existing for the unit of the quantity of information is an elementary choice: either a bit or a quantum bit (qubit). (shrink)

If the concept of “free will” is reduced to that of “choice” all physical world share the latter quality. Anyway the “free will” can be distinguished from the “choice”: The “free will” involves implicitly certain preliminary goal, and the choice is only the mean, by which it can be achieved or not by the one who determines the goal. Thus, for example, an electron has always a choice but not free will unlike (...) a human possessing both. Consequently, and paradoxically, the determinism of classical physics is more subjective and more anthropomorphic than the indeterminism of quantum mechanics for the former presupposes certain deterministic goal implicitly following the model of human freewill behavior. The choice is usually linked to very complicated systems such as human brain or society and even often associated with consciousness. In its background, the material world is deterministic and absolutely devoid of choice. However, quantum mechanics introduces the choice in the fundament of physical world, in the only way, in which it can exist: All exists in the “phase transition” of the present between the uncertain future and the well-ordered past. Thus the present is forced to choose in order to be able to transform the coherent state of future into the well-ordering of past. The concept of choice as if suggests that there is one who chooses. However quantum mechanics involves a generalized case of choice, which can be called “subjectless”: There is certain choice, which originates from the transition of the future into the past. Thus that kind of choice is shared of all existing and does not need any subject: It can be considered as a low of nature. There are a few theorems in quantum mechanics directly relevant to the topic: two of them are called “free will theorems” by their authors, Conway and Kochen, and according to them: “Do we really have free will, or, as a few determined folk maintain, is it all an illusion? We don’t know, but will prove in this paper that if indeed there exist any experimenters with a modicum of free will, then elementary particles must have their own share of this valuable commodity” “The import of the free will theorem is that it is not only current quantum theory, but the world itself that is non-deterministic, so that no future theory can return us to a clockwork universe”. Those theorems can be considered as a continuation of the so-called theorems about the absence of “hidden variables” in quantum mechanics. (shrink)

Recent empirical evidence indicates that people tend to believe that they possess indeterminist free will, and people’s experience of choosing and deciding is that they possess such freedom. Some also maintain that people’s belief in indeterminist free will has its source in their experience of choosing and deciding. Yet there seem to be good reasons to resist endorsing. Despite this, I maintain that belief in indeterminist free will really does have its source in experience. (...) I explain how this is so by appeal to the phenomenon of prospection, which is the mental simulation of future possibilities for the purpose of guiding action. Crucially, prospection can be experienced. And because of the way in which prospection models choice, it is easy for agents to experience and to believe that their choice is indeterministic. Yet this belief is not justified; the experience of prospection, and hence of free will as being indeterminist, is actually consistent with determinism. (shrink)

The paper considers the claim that quantum theories with a deterministic dynamics of objects in ordinary space-time, such as Bohmian mechanics, contradict the assumption that the measurement settings can be freely chosen in the EPR experiment. That assumption is one of the premises of Bell’s theorem. I first argue that only a premise to the effect that what determines the choice of the measurement settings is independent of what determines the past state of the measured system is needed for (...) the derivation of Bell’s theorem. Determinism as such does not undermine that independence . Only entanglement could do so. However, generic entanglement without collapse on the level of the universal wave-function can go together with effective wave-functions for subsystems of the universe, as in Bohmian mechanics. The paper argues that such effective wave-functions are sufficient for the mentioned independence premise to hold. (shrink)

On the basis of three physical axioms, we prove that if the choice of a particular type of spin 1 experiment is not a function of the information accessible to the experimenters, then its outcome is equally not a function of the information accessible to the particles. We show that this result is robust, and deduce that neither hidden variable theories nor mechanisms of the GRW type for wave function collapse can be made relativistic and causal. We also establish the (...) consistency of our axioms and discuss the philosophical implications. (shrink)

This paper responds to three critical essays on my book, The Significance of Free Will(Oxford, 1996) by Randolph Clarke, Istiyaque Haji and Alfred Mele (which essays appear in this issue and an earlier issue of this journal). This response first explains crucial features of the theory of free will of the book, including the notion of ultimate responsibility.The paper then answers objections of Haji and Mele that the occurrence of undetermined choices would be matters of luck (...) or chance, and so could not be responsible actions. It then responds to concerns of Clarke that indeterminism provides no greater degree of control for defenders of incompatibilist free will and to concerns Clarke has about the notions of "effort" and "willing" in the book. Finally, the paper addresses objections of Haji concerning Frankfurt type-examples and the relation of moral responsibility to the power to act otherwise, and it addresses a concern of Mele's about why we should want a free will that is incompatible with determinism. (shrink)

While the question of free will does not figure as prominently in Buddhist writings as it does in western theology, philosophy, and psychology, it is a topic that was addressed in the earliest Buddhist writings. According to these accounts, for pragmatic and ethical reasons, the Buddha rejected both determinism and indeterminism as understood at that time. Rather than asking the metaphysical question of whether already humans have free will, Buddhist tradition takes a more pragmatic approach, (...) exploring ways in which we can acquire greater freedom to make wise choices that are truly conducive to our own and others' genuine well-being. One key to achieving such freedom is the cultivation of attentional skills so that one can deliberately focus one's attention with continuity and clarity on one's chosen object. A second theme is the cultivation of insight into the manner in which our own attitudes shape experience, allowing for the possibility of altering not only the way we experience events in the present, but also how we are influenced by our memories of the past. Finally, the Great Perfection school of Tibetan Buddhism emphasizes the realization of the deepest dimension of consciousness -- pristine awareness -- which transcends the nexus of causality. This is regarded as the ultimate source of freedom and the ultimate nature of human identity. (shrink)

Many philosophers are persuaded by familiar arguments that free will is incompatible with causal determinism. Yet, notoriously, past attempts to articulate how the right type of indeterminism might secure the capacity for autonomous action have generally been regarded as either demonstrably inadequate or irremediably obscure. This volume gathers together the most significant recent discussions concerning the prospects for devising a satisfactory indeterministic account of freedom of action. These essays give greater precision to traditional formulations of the problems (...) associated with indeterministic accounts and to the range of theoretical avenues for pursuing resolutions. The first four essays set out different challenges (from both compatibilists and those skeptical of the possibility of free will) to the adequacy of standard indeterministic theories. The next seven essays meet one or more of these challenges. Each of the fundamental types of approach--simple indeterminism, causal indeterminism, and agent causation--is represented in these novel and sophisticated proposals. The collection finishes with two essays that debate whether compatibilism entails that freedom of choice is a comparatively rare phenomenon within an individual's life. Eloquently presenting some of the most compelling and accessible arguments surrounding this central philosophical issue, Agents, Causes, and Events makes a valuable contribution to courses in free will/action theory and metaphysics. (shrink)

One has it that earlier circumstances and the laws of nature uniquely determine later circumstances, and the other has it that past present and future all exist tenselessly in a ‘block universe,’ so that the passage of time and associated changes in the world are illusions or at best merely apparent.

Like most episodes of Black Mirror, “Hang the DJ” raises a host of philosophical questions. While there is much from this episode to explore, this chapter will explore something that has not yet been addressed in other work, namely the connection between “Hang the DJ” and questions about free will and determinism (or indeterminism, as the case may be). This chapter will proceed as follows: first, I will sketch some reasons for thinking that, if (...) determinism is true, then no one has or exercises free will. One type of response to determinism’s threat to free will is to accept the incompatibility of free will and determinism and to maintain that we nevertheless have free will. Theorists who endorse indeterministic accounts of free will are called libertarians in the free will debate (but please do not confuse them with political libertarians). Second, I will explain a bit more of the mechanics of libertarianism. Third, I will discuss an influential challenge to libertarianism that has come to be known as the “rollback argument.” The mechanics of this challenge will resemble the plot twist of “Hang the DJ.” Fourth, and finally, I will explore the episode’s portrayal of the value of undetermined choice. (shrink)

If we maintain that free will requires the absence of determinism, Then can we claim to be free without any wants? if we had no wants at all, What sense would there to be talk about free will? the difference between free will and the absence of free will is not that between indeterminism and determinism. Free choice presupposes determinism in that in order to make a choice (...) an individual must have some motive or reason for so doing. The difference is found within determinism, Among the different kinds of motives that can influence an individual to make a choice. Furthermore, If I already possess the motive to change or eliminate undesirable motives then I increase my opportunity to realize more desires and thus increase freedom of choice, Even though my motive to change or eliminate undesirable motives is already predetermined. (shrink)

If we maintain that free will requires the absence of determinism, Then can we claim to be free without any wants? if we had no wants at all, What sense would there to be talk about free will? the difference between free will and the absence of free will is not that between indeterminism and determinism. Free choice presupposes determinism in that in order to make a choice (...) an individual must have some motive or reason for so doing. The difference is found within determinism, Among the different kinds of motives that can influence an individual to make a choice. Furthermore, If I already possess the motive to change or eliminate undesirable motives then I increase my opportunity to realize more desires and thus increase freedom of choice, Even though my motive to change or eliminate undesirable motives is already predetermined. (shrink)

The text is a continuation of the article of the same name published in the previous issue of Philosophical Alternatives. The philosophical interpretations of the Kochen- Specker theorem (1967) are considered. Einstein's principle regarding the,consubstantiality of inertia and gravity" (1918) allows of a parallel between descriptions of a physical micro-entity in relation to the macro-apparatus on the one hand, and of physical macro-entities in relation to the astronomical mega-entities on the other. The Bohmian interpretation ( 1952) of (...) quantum mechanics proposes that all quantum systems be interpreted as dissipative ones and that the theorem be thus derstood. The conclusion is that the continual representation, by force or (gravitational) field between parts interacting by means of it, of a system is equivalent to their mutual entanglement if representation is discrete. Gravity (force field) and entanglement are two different, correspondingly continual and discrete, images of a single common essence. General relativity can be interpreted as a superluminal generalization of special relativity. The postulate exists of an alleged obligatory difference between a model and reality in science and philosophy. It can also be deduced by interpreting a corollary of the heorem. On the other hand, quantum mechanics, on the basis of this theorem and of V on Neumann's (1932), introduces the option that a model be entirely identified as the modeled reality and, therefore, that absolutely reality be recognized: this is a non-standard hypothesis in the epistemology of science. Thus, the true reality begins to be understood mathematically, i.e. in a Pythagorean manner, for its identification with its mathematical model. A few linked problems are highlighted: the role of the axiom of choice forcorrectly interpreting the theorem; whether the theorem can be considered an axiom; whether the theorem can be considered equivalent to the negation of the axiom. (shrink)

In this paper we attempt to discuss what has Kochen-Specker theorem to say about physical invariance and quantum individuality. In particular, we will discuss the impossibility of making reference to objective physical properties within the orthodox formalism of quantum mechanics. Through an analysis of the meaning of physical invariance and quantum contextuality we will derive a Corollary to KS theorem that proves that a vector in Hilbert space cannot be interpreted coherently as an object (...) possessing physical properties. As a consequence, the notion of quantum object can be only defined in terms of nomological properties. We conclude the paper by analyzing the consequences of this Corollary to KS theorem for the ongoing debate about quantum individuality. (shrink)

Here is an important new theory of human action, a theory that assumes actions are founded on choices made by agents who face an open future.

Conway and Kochen have presented a “free will theorem” [4, 6] which they claim shows that “if indeed we humans have free will, then [so do] elementary particles.” In a more precise fashion, they claim it shows that for certain quantum experiments in which the experimenters can choose between several options, no deterministic or stochastic model can account for the observed outcomes without violating a condition “MIN” motivated by relativistic symmetry. We point out that (...) for stochastic models this conclusion is not correct, while for deterministic models it is not new. In the way the free will theorem is formulated and proved, it only concerns deterministic models. But Conway and Kochen have argued [4, 5, 6, 7] that “randomness can’t help,” meaning that stochastic models are excluded as well if we insist on the conditions “SPIN”, “TWIN”, and “MIN”. We point out a mistake in their argument. Namely, the theorem is of the form deterministic model with SPIN & TWIN & MIN ⇒ contradiction , (1) and in order to derive the further claim, which is of the form stochastic model with SPIN & TWIN & MIN ⇒ contradiction , (2) Conway and Kochen propose a method for converting any stochastic model into a deterministic one [4]. (shrink)

Free will is widely thought to require (i) the possibility of acting otherwise and (ii) the intentional endorsement of one’s actions (“indeterministic picking is not enough”). According to (i), a necessary condition for free will is agential-level indeterminism: at some points in time, an agent’s prior history admits more than one possible continuation. According to (ii), however, a free action must be intentionally endorsed, and indeterminism may threaten freedom: if several alternative actions could each have (...) been actualized, then none of them is necessitated by the agent’s prior history, and the actual action seems nothing more than the result of indeterministic picking. We argue that this tension is only apparent. We distinguish between actions an agent can possibly do and actions he or she can do with endorsement. One can consistently say that someone who makes a choice has several alternative possibilities, and yet that, far from merely indeterministically picking an action, the agent chooses one he or she endorses. An implication is that although free will can consistently require (i) and (ii), it cannot generally require the possibility of acting otherwise with endorsement. (shrink)

People’s concept of free will is often assumed to be incompatible with the deterministic, scientific model of the universe. Indeed, many scholars treat the folk concept of free will as assuming a special form of nondeterministic causation, possibly the notion of uncaused causes. However, little work to date has directly probed individuals’ beliefs about what it means to have free will. The present studies sought to reconstruct this folk concept of free will (...) by asking people to define the concept (Study 1) and by confronting them with a neuroscientific claim that free will is an illusion (Study 2), which invited them to either reconcile or contrast free will with determinism. The results suggest that the core of people’s concept of free will is a choice that fulfills one’s desires and is free from internal or external constraints. No evidence was found for metaphysical assumptions about dualism or indeterminism. (shrink)

Non-commuting quantities and hidden parameters – Wave-corpuscular dualism and hidden parameters – Local or nonlocal hidden parameters – Phase space in quantum mechanics – Weyl, Wigner, and Moyal – Von Neumann’s theorem about the absence of hidden parameters in quantum mechanics and Hermann – Bell’s objection – Quantum-mechanical and mathematical incommeasurability – Kochen – Specker’s idea about their equivalence – The notion of partial algebra – Embeddability of a qubit into a bit – Quantum computer is not (...) Turing machine – Is continuality universal? – Diffeomorphism and velocity – Einstein’s general principle of relativity – „Mach’s principle“ – The Skolemian relativity of the discrete and the continuous – The counterexample in § 6 of their paper – About the classical tautology which is untrue being replaced by the statements about commeasurable quantum-mechanical quantities – Logical hidden parameters – The undecidability of the hypothesis about hidden parameters – Wigner’s work and и Weyl’s previous one – Lie groups, representations, and psi-function – From a qualitative to a quantitative expression of relativity − psi-function, or the discrete by the random – Bartlett’s approach − psi-function as the characteristic function of random quantity – Discrete and/ or continual description – Quantity and its “digitalized projection“ – The idea of „velocity−probability“ – The notion of probability and the light speed postulate – Generalized probability and its physical interpretation – A quantum description of macro-world – The period of the as-sociated de Broglie wave and the length of now – Causality equivalently replaced by chance – The philosophy of quantum information and religion – Einstein’s thesis about “the consubstantiality of inertia ant weight“ – Again about the interpretation of complex velocity – The speed of time – Newton’s law of inertia and Lagrange’s formulation of mechanics – Force and effect – The theory of tachyons and general relativity – Riesz’s representation theorem – The notion of covariant world line – Encoding a world line by psi-function – Spacetime and qubit − psi-function by qubits – About the physical interpretation of both the complex axes of a qubit – The interpretation of the self-adjoint operators components – The world line of an arbitrary quantity – The invariance of the physical laws towards quantum object and apparatus – Hilbert space and that of Minkowski – The relationship between the coefficients of -function and the qubits – World line = psi-function + self-adjoint operator – Reality and description – Does a „curved“ Hilbert space exist? – The axiom of choice, or when is possible a flattening of Hilbert space? – But why not to flatten also pseudo-Riemannian space? – The commutator of conjugate quantities – Relative mass – The strokes of self-movement and its philosophical interpretation – The self-perfection of the universe – The generalization of quantity in quantum physics – An analogy of the Feynman formalism – Feynman and many-world interpretation – The psi-function of various objects – Countable and uncountable basis – Generalized continuum and arithmetization – Field and entanglement – Function as coding – The idea of „curved“ Descartes product – The environment of a function – Another view to the notion of velocity-probability – Reality and description – Hilbert space as a model both of object and description – The notion of holistic logic – Physical quantity as the information about it – Cross-temporal correlations – The forecasting of future – Description in separable and inseparable Hilbert space – „Forces“ or „miracles“ – Velocity or time – The notion of non-finite set – Dasein or Dazeit – The trajectory of the whole – Ontological and onto-theological difference – An analogy of the Feynman and many-world interpretation − psi-function as physical quantity – Things in the world and instances in time – The generation of the physi-cal by mathematical – The generalized notion of observer – Subjective or objective probability – Energy as the change of probability per the unite of time – The generalized principle of least action from a new view-point – The exception of two dimensions and Fermat’s last theorem. (shrink)

Do humans have a free choice of which actions to perform? Three recent developments of modern science can help us to answer this question. First, new investigative tools have enabled us to study the processes in our brains which accompanying our decisions. The pioneer work of Benjamin Libet has led many neuroscientists to hold the view that our conscious intentions do not cause our bodily movements but merely accompany them. Then, Quantum Theory suggests that not all physical events are (...) fully determined by their causes, and so opens the possibility that not all brain events may be fully determined by their causes, and so maybe - if neuroscience does not rule this out - there is a role for intentions after all. Finally, a theorem of mathematics, Godel's theory, has been interpreted to suggest that the initial conditions and laws of development of a mathematician's brain could not fully determine which mathematical conjectures he sees to be true. Papers by Patrick Haggard, Tim Bayne, Harald Atmanspacher and Stefan Rotter, Solomon Feferman, and John Lucas investigate these issues. The extent to which human behaviour is determined by brain events may well depend on whether conscious events, such as intentions, are themselves merely brain events, or whether they are separate events which interact with brain events (perhaps in the radical form that intentions are events in our soul, and not in our body). The papers of Frank Jackson, Richard Swinburne, and Howard Robinson investigate these issues. The remaining papers, of Galen Strawson, Helen Steward, and R.A. Duff, consider what kind of free will we need in order to be morally responsible for our actions or to be held guilty in a court of law. Is it sufficient merely that our actions are uncaused by brain events, or what? (shrink)

The two theories that revolutionized physics in the twentieth century, relativity and quantum mechanics, are full of predictions that defy common sense. Recently, we used three such paradoxical ideas to prove “The Free Will Theorem” (strengthened here), which is the culmination of a series of theorems about quantum mechanics that began in the 1960s. It asserts, roughly, that if indeed we humans have free will, then elementary particles already have their own small share of this (...) valuable commodity. More precisely, if the experimenter can freely choose the directions in which to orient his apparatus in a certain measurement, then the particle’s response (to be pedantic—the universe’s response near the particle) is not determined by the entire previous history of the universe. Our argument combines the well-known consequence of relativity theory, that the time order of space-like separated events is not absolute, with the EPR paradox discovered by Einstein, Podolsky, and Rosen in 1935, and the Kochen-Specker Paradox of 1967 (See [2].) We follow Bohm in using a spin version of EPR and Peres in using his set of 33 directions, rather than the original configuration used by Kochen and Specker. More contentiously, the argument also involves the notion of free will, but we postpone further discussion of this to the last section of the article. Note that our proof does not mention “probabilities” or the “states” that determine them, which is.. (shrink)

Most of the free will debate operates under the assumption that classic determinism and indeterminism are the only metaphysical options available. Through an analysis of Dennett’s view of free will as gradually evolving this article attempts to point to emergentist, interactivist and temporal metaphysical options, which have been left largely unexplored by contemporary theorists. Whereas, Dennett himself holds that “the kind of free will worth wanting” is compatible with classic determinism, I propose (...) that his models of determinism fit poorly with his evolutionary theory and naturalist commitments. In particular, his so-called “intuition pumps” seem to rely on the assumption that reality will have a compositional bottom layer where appearance and reality coincide. I argue that instead of positing this and other “unexplained explainers” we should allow for the heretical possibility that there might not be any absolute bottom, smallest substances or universal laws, but relational interactions all the way down. Through the details of Dennett’s own account of the importance of horizontal transmission in evolution and the causal efficacy of epistemically limited but complex layered “selves,” it is argued that our autonomy is linked to the ability to affect reality by controlling appearances. (shrink)

Bell’s Theorem from Physics 36:1–28 (1964) and the (Strong) Free Will Theorem of Conway and Kochen from Notices AMS 56:226–232 (2009) both exclude deterministic hidden variable theories (or, in modern parlance, ‘ontological models’) that are compatible with some small fragment of quantum mechanics, admit ‘free’ settings of the archetypal Alice and Bob experiment, and satisfy a locality condition akin to parameter independence. We clarify the relationship between these theorems by giving reformulations of both that (...) exactly pinpoint their resemblance and their differences. Our reformulation imposes determinism in what we see as the only consistent way, in which the ‘ontological state’ initially determines both the settings and the outcome of the experiment. The usual status of the settings as ‘free’ parameters is subsequently recovered from independence assumptions on the pertinent (random) variables. Our reformulation also clarifies the role of the settings in Bell’s later generalization of his theorem to stochastic hidden variable theories. (shrink)

This essay considers and evaluates recent results and arguments from classical chaotic systems theory and non-relativistic quantum mechanics that pertain to the question of whether our world is deterministic or indeterministic. While the classical results are inconclusive, quantum mechanics is often assumed to establish indeterminism insofar as the measurement process involves an ineliminable stochastic element, even though the dynamics between two measurements is considered fully deterministic. While this latter claim concerning the Schrödinger evolution must be qualified, the former fully depends (...) on a resolution of the measurement problem. Two alleged proofs that nature is indeterministic, relying, in turn, on Gleason's theorem and Conway and Kochen's recent 'free will theorem', are shown to be wanting qua proofs of indeterminism. We are thus left with the conclusion that the determinism question remains open. (shrink)

We have two main aims: to construct mathematical models for analysing determinism, causality and supervenience; and then to use these to demonstrate the possibility of constructing an ontic construal of the operation of free will - one requiring both the presentation of genuine alternatives to an agent and their selecting between them in a manner that permits the attribution of responsibility. Determinism is modelled using trans-temporal ontic links between discrete juxtaposed universe states and shown to be (...) distinct from predictability. Causality is defined on a temporal sequence of δ-algebras and quantified using a measure. The measure leads to definitions of causal overdetermination and epiphenomena. Proofs are constructed to demonstrate deterministic universes must carry their properties essentially but not necessarily locally. We argue determinism and causality are separate doctrines. These models and results are marshalled to put the case that a counterfactual construal of ontic choice cannot work. In response we propose ‘immanence’ - a modified form of indeterminism whereby a universe can present choices to its denizens. We prove that beings subsumed within a universe cannot pilot their own actions. We then argue these beings can exercise free will only when selecting between choices inhering within immanent relata. A being is responsible for its selections if and only if it is constituted of a temporally evolving deterministic substructure. Our proposal is novel: it avoids injecting indeterminism into the decision process. Topological models for property supervenience are developed and used to reconstruct standard definitions from the literature. These are then used to demonstrate considerations of supervenience do not affect our arguments. We have demonstrated that a model of the exercise of free will involving both genuine choices and responsibility is possible but can only operate within a non-deterministic universe possessing specific traits. (shrink)

A view that emancipates free will by means of quantum indeterminism is frequently rejected based on arguments pointing out its incompatibility with what we know about quantum physics. However, if one carefully examines what classical physical causal determinism and quantum indeterminism are according to physics, it becomes clear what they really imply–and, especially, what they do not imply–for agent-causation theories. Here, we will make necessary conceptual clarifications on some aspects of physical determinism and indeterminism, review (...) some of the major objections against libertarian conjectures, and show that there is no conceptual incompatibility preventing us from taking a ‘quantum-libertarian’ approach to the problem of free will. In particular, we will illustrate the possible role of self-causation (causa sui) as a potential solution to otherwise apparently incompatible or even paradoxical statements concerning free will and quantum indeterminism. (shrink)

Every month some one pronounces that science must be rejected if we are to preserve a belief in human freedom, or that only by a faith in freedom that flies in the face of logic and the principle of causality can democracy be justified. Equally often other authors insist that the increase of knowledge in the science of human behavior makes plain the irrelevance and sentimentality of pious talk about free and rational choice. What is the source of this (...) dispute? Why is no resolution of it arrived at? (shrink)

According to the Myth of Er we are responsible for our character because we chose it before birth. But any choice is determined by our present character, sothere is an indefinite regress and we cannot be entirely responsible for our character. The Myth of Er can be seen as the first formulation of the problem of free will, which Aristotle demythologizes in Nicomachean Ethics III.5. Plato's solution is that freedom is compatible with causal determinism because it does (...) not mean indeterminism but rationality. The myth links the individual lives to the harmony of the spheres, so our lives are determined not by blind necessity, but by rational necessity that follows from the nature of the universe. Even so, the limitations of determinism prevent rationality from being a sufficient cause of happiness (although the opposite view is usually attributed to Plato), but it remains a necessary one. (shrink)

What is free will and do humans possess it? While these questions appear simple they have tied some of our greatest minds in knots over the millennia. This little book seeks to clarify for an audience of educated non-specialists some of the issues that often arise in philosophical disputes over the existence and the nature of human free will. Beyond that, it proposes a particular solution to the puzzles. Many philosophers have argued that free (...) class='Hi'>will is incompatible with determinism, and many have also argued that it is incompatible with indeterminism. So, is free will simply an incoherent concept? Talbott argues that the best way out of this quagmire requires that we come to appreciate why certain conditions essential to our emergence as free moral agents--conditions such as indeterminism, ignorance, and a context of ambiguity and misperception--are themselves obstacles to a fully realized freedom. For a fully realized freedom requires that, as minimally rational individuals, we have learned some important lessons for ourselves; and once these lessons have been learned, some of our freest choices may be such that we could not have chosen otherwise because so choosing would then seem to us utterly unthinkable and irrational. (shrink)

In this paper, I argue that Conway and Kochen’s Free Will Theorem (1,2) to the conclusion that quantum mechanics and relativity entail freedom for the particles, does not change the situation in favor of a libertarian position as they would like. In fact, the theorem more or less implicitly assumes that people are free, and thus it begs the question. Moreover, it does not prove neither that if people are free, so are particles, (...) nor that the property people possess when they are said to be free is the same as the one particles possess when they are claimed to be free. I then analyze the Free State Theorem (2), which generalizes the Free Will Theorem without the assumption that people are free, and I show that it does not prove anything about free will, since the notion of freedom for particles is either inconsistent, or it does not concern our common understanding of freedom. In both cases, the Free Will Theorem and the Free State Theorem do not provide any enlightenment on the constraints physics can pose on free will. (shrink)

Traditionally, Buddhist philosophy has seemingly rejected the autonomous self. In Western philosophy, free will and the philosophy of action are established areas of research. This book presents a comprehensive analytical review of extant scholarship on perspectives on free will. It studies and refutes the most powerful Western and Buddhist philosophical objections to free will and explores the possibility that a form of agency may in fact exist within Buddhism. Providing a detailed explanation of how (...) Buddhist meditation increases self-regulative mind-control abilities, the author argues that the Buddhist path is designed to produce meditation virtuosos exhibiting mind-control abilities far exceeding the free-will advocate's ability to 'do otherwise' or have their choices be 'up to' them. Based on the empirically-supported mind-control cultivated by these meditation virtuosos, the book proposes the principle of, 'Buddhist Soft Compatibilism', a theory of 'freedom of the mind' that entails freedoms of the will, attention, emotion and action, compatible with both determinism and indeterminism. Buddhism, Meditation and Free Will will be of interest to Buddhist and Western philosophers and academics interested in comparative philosophy, free will, philosophy of action, metaphysics, ethics and Religious Studies. (shrink)

The indirect argument (IA) for incompatibilism is based on the principle that an action to which there is no alternative is unfree, which we shall call ‘PA’. According to PA, to freely perform an action A, it must not be the case that one has ‘no choice’ but to perform A. The libertarian and hard determinist advocates of PA must deny that free will would exist in a deterministic world, since no agent in such a world would perform (...) an action to which there were alternatives: an action there being the necessary consequence of preceding events and the laws of nature, it would not be possible for a person to perform actions besides those he actually performs. Determinism is seen here as “indirectly” ruling out free will by making the satisfaction of a necessary condition of free agency impossible, the former requiring, according to the leading proponent of libertarianism, Robert Kane, the performance of free actions. To have a free will, on his view, is to have committed “self-forming” actions, that is, to have done things to which there were alternatives the doing of which led to the development of the desires, preferences, and beliefs that make up one’s character. -/- The range of phenomena obeying probabilistic laws has yet to be ascertained. Under certain assumptions, both STR and GTR entail an indeterministic mechanics. But, contrary what is often claimed, quanta do not behave indeterministicly: the wave function/probabilistic laws being necessary only insofar as we wish to macroscopicly describe their behavior. It is far less clear, however, that the macro-events involved in human decision making and behavior, such as the releasing of neurotransmitters and the contracting of muscles, occur indeterministically. The ontological status of these events-whether or not they are the necessary effects of prior occurrences-is, of course, what matters in the free will debate. For present purposes, however, this question will be put aside. Instead, I will concentrate on buttressing the existing case against PA, aiming to show that even if deterministic laws hold at the level of macro-phenomena, free will remains a possibility. That is to say, I shall defend the thesis that so-called “Frankfurt cases” demonstrate that alternatives are not required to perform an action that is free in the sense of being something for which its agent is responsible. -/- My defense will be carried out in three stages. First, I must respond to those who maintain that a Frankfurt case is not a counterexample to PA because it is not an example of someone acting without alternatives. Here, I confront the question of how “robust” an alternative must bein order to provide an agent with a way of avoiding praise or blame for the action that she actually commits. Secondly, I must show that an agent may be praiseworthy or blameworthy despite lacking alternatives at the time at which she acts, i.e., an appropriate object of one of a Strawsonian “reactive attitude” sans what I shall call “local” alternatives. At this point, I must attend to David Widerker’s recent critique of the use of Frankfurt cases as counterexamples to PA. Finally, I set for myself what I take to be the most difficult task of a compatibilist: demonstrating that not even an “historical” alternative-the possibility of having chosen a different path in life than the one that one has actually taken-is needed to have a free will. In this connection, it will be incumbent upon me to explain why it would be fair to hold someone accountable for behavior issuing from a self she did not create, dispositions originating from natural conditions she did not establish. That is to say, in denying that a free will entails the ability to transcend oneself, I shall be faced with what Kane calls the “ultimacy” problem: how to explain away the incompatibilist’s intuition that it is senseless to adopt a reactive attitude towards someone incapable of self-transcendence, even if such a reaction is itself unavoidable. By showing that the desire for self-transcendence is itself irrational, I intend to solve this problem. I will, thus, be left defending a version of compatibilism according to which a free will is to be understood as a healthy faculty-the will-being exercised in an environment conducive to self-realization, which is its purpose. (shrink)

We respond to criticisms of our paper “The Free Will Theorem”, and produce a new form of the theorem based on weaker assumptions.

According to the Myth of Er we are responsible for our character because we chose it before birth. But any choice is determined by our present character, sothere is an indefinite regress and we cannot be entirely responsible for our character. The Myth of Er can be seen as the first formulation of the problem of free will, which Aristotle demythologizes in Nicomachean Ethics III.5. Plato's solution is that freedom is compatible with causal determinism because it does (...) not mean indeterminism but rationality. The myth links the individual lives to the harmony of the spheres, so our lives are determined not by blind necessity, but by rational necessity that follows from the nature of the universe. Even so, the limitations of determinism prevent rationality from being a sufficient cause of happiness (although the opposite view is usually attributed to Plato), but it remains a necessary one. (shrink)

Capacity of conscious agents to perform genuine choices among future alternatives is a prerequisite for moral responsibility. Determinism that pervades classical physics, however, forbids free will, undermines the foundations of ethics, and precludes meaningful quantification of personal biases. To resolve that impasse, we utilize the characteristic indeterminism of quantum physics and derive a quantitative measure for the amount of free will manifested by the brain cortical network. The interaction between the central nervous system and the (...) surrounding environment is shown to perform a quantum measurement upon the neural constituents, which actualize a single measurement outcome selected from the resulting quantum probability distribution. Inherent biases in the quantum propensities for alternative physical outcomes provide varying amounts of free will, which can be quantified with the expected information gain from learning the actual course of action chosen by the nervous system. For example, neuronal electric spikes evoke deterministic synaptic vesicle release in the synapses of sensory or somatomotor pathways, with no free will manifested. In cortical synapses, however, vesicle release is triggered indeterministically with probability of 0.35 per spike. This grants the brain cortex, with its over 100 trillion synapses, an amount of free will exceeding 96 terabytes per second. Although reliable deterministic transmission of sensory or somatomotor information ensures robust adaptation of animals to their physical environment, unpredictability of behavioral responses initiated by decisions made by the brain cortex is evolutionary advantageous for avoiding predators. Thus, free will may have a survival value and could be optimized through natural selection. (shrink)

The claim of the freedom of the will (understood as an individual who is transcendent to Nature) in the name of XXth century scientific knowledge, against the perspective of XVIIIth-XIXth century scientific materialism, is analysed and refuted in the present paper. The hypothesis of reductionism finds no obstacle within contemporary natural sciences. Determinism in classical physics is irrefutable, unless classical physics is itself refuted. From quantum mechanics, some authors argue that free will is possible because there (...) is an ontological indeterminism in the natural laws, and that the mind is responsible for the wave function collapse of matter, which leads to a choice among the different possibilities for the body. However, here I defend the opposite thesis because indeterminism does not imply free will, and because the considerations about an autonomous mind sending orders to the body is against neuroscience or evolutionary theories about human beings. The quantum theory of measurement can be interpreted without the intervention of human minds, but other fields of science cannot contemplate the mentalist scenario. A fatalistic or materialist view, which denies the possibility of a free will, makes much more sense in scientific terms. (shrink)

Recently Cator and Landsman made a comparison between Bell’s Theorem and Conway and Kochen’s Strong Free Will Theorem. Their overall conclusion was that the latter is stronger in that it uses fewer assumptions, but also that it has two shortcomings. Firstly, no experimental test of the Conway–Kochen Theorem has been performed thus far, and, secondly, because the Conway–Kochen Theorem is strongly connected to the Kochen–Specker Theorem it may be (...) susceptible to the finite precision loophole of Meyer, Kent and Clifton. In this paper I show that the finite precision loophole does not apply to the Conway–Kochen Theorem. (shrink)

Attempts to develop a genuine compatabilist model of the free will and to implement this model into psychology. The task of the model is to present an alternative to those versions of the compatabilist notion, which rightly seen are nothing but soft versions of determinism. This alternative is based on an integration of a soft version of determinism with a soft version of indeterminism, and based on a nonmystical and scientific concept of downward causality, and thereby (...) is placed in the domain of science and in a materialist ontology. This leads to a hierarchical multi-layer model, the core notion of which is the soft deterministic concept of bottom-up constituting dynamics and the soft indeterministic concept of top-down organizational dynamics. It is in this existential tension field between constitutional and organizational dynamics that our very human nature in general, and free will in particular, develop. 2012 APA, all rights reserved). (shrink)

Bergson argues that there is an incompatibility between free will and determinism: while free will has a dimension of creation, of invention, determinism corresponds to the idea that the future is fixed in advance by laws. In addition, he rejects determinism. According to him, the singularity of our deep-seated psychic states makes that their evolution cannot be governed by laws. However, Bergson does not defend classical indeterminism because it reduces free will (...) to a choice between alternative possibilities, that is to say between pre-fixed futures. Such a conception does not take into account the creative dimension of free will. In fact, Bergson develops an original form of indeterminism based on a certain conception of causation. For determinism and classical indeterminism, causation is always the actualization of a pre-fixed virtual reality. For Bergson, causation can also be a creation, that is, the formation of something which is not pre-fixed. (shrink)

The paper is a continuation of another paper published as Part I. Now, the case of “n=3” is inferred as a corollary from the Kochen and Specker theorem (1967): the eventual solutions of Fermat’s equation for “n=3” would correspond to an admissible disjunctive division of qubit into two absolutely independent parts therefore versus the contextuality of any qubit, implied by the Kochen – Specker theorem. Incommensurability (implied by the absence of hidden variables) is considered (...) as dual to quantum contextuality. The relevant mathematical structure is Hilbert arithmetic in a wide sense, in the framework of which Hilbert arithmetic in a narrow sense and the qubit Hilbert space are dual to each other. A few cases involving set theory are possible: (1) only within the case “n=3” and implicitly, within any next level of “n” in Fermat’s equation; (2) the identification of the case “n=3” and the general case utilizing the axiom of choice rather than the axiom of induction. If the former is the case, the application of set theory and arithmetic can remain disjunctively divided: set theory, “locally”, within any level; and arithmetic, “globally”, to all levels. If the latter is the case, the proof is thoroughly within set theory. Thus, the relevance of Yablo’s paradox to the statement of Fermat’s last theorem is avoided in both cases. The idea of “arithmetic mechanics” is sketched: it might deduce the basic physical dimensions of mechanics (mass, time, distance) from the axioms of arithmetic after a relevant generalization, Furthermore, a future Part III of the paper is suggested: FLT by mediation of Hilbert arithmetic in a wide sense can be considered as another expression of Gleason’s theorem in quantum mechanics: the exclusions about (n = 1, 2) in both theorems as well as the validity for all the rest values of “n” can be unified after the theory of quantum information. The availability (respectively, non-availability) of solutions of Fermat’s equation can be proved as equivalent to the non-availability (respectively, availability) of a single probabilistic measure as to Gleason’s theorem. (shrink)

Free will is usually defined by three conditions: the ability to do otherwise; control of one’s own choices; responsiveness to reasons. The compatibility of free will with determinism lies at the heart of the philosophical debate at the metaphysical level. This debate, while being increasingly refined, has not yet reached a conclusion. Recently, neuroscience and empirical psychology have tried to settle the problem of free will with a series of experiments that go in (...) the direction of so-called illusionism: free will as the conscious control of our behavior cannot exist, being a mere illusion. But even in this case, the experimental results are challenged at various levels. Considering that in most moral and legal systems, the subject’s liability derives from their freedom, the usefulness of preserving the concept of freedom – which incidentally responds to a very strong commonsensical intuition – suggests the need for an operational solution. This could be done by resorting to the concepts of capacity and cognitive control, which are measured by a set of well-established neuropsychological tests. Our preliminary proposal is to create an index, the first step towards a specific quantification and measurement of free will, to be used especially in ethical and legal contexts. Theoretical premises, practical difficulties and objections to this approach are also discussed and addressed. (shrink)

Our conscious minds exist in the Universe, therefore they should be identified with physical states that are subject to physical laws. In classical theories of mind, the mental states are identified with brain states that satisfy the deterministic laws of classical mechanics. This approach, however, leads to insurmountable paradoxes such as epiphenomenal minds and illusionary free will. Alternatively, one may identify mental states with quantum states realized within the brain and try to resolve the above paradoxes using the (...) standard Hilbert space formalism of quantum mechanics. In this essay, we first show that identification of mind states with quantum states within the brain is biologically feasible, and then elaborating on the mathematical proofs of two quantum mechanical no-go theorems, we explain why quantum theory might have profound implications for the scientific understanding of one's mental states, self identity, beliefs and free will. (shrink)

This article focuses on philosophical views that attempt to explain widespread belief in indeterministic choice by following a strategy that harkens back at least to Spinoza. According to this Spinozan strategy, people draw an inference from the absence of experiences of determined choice to the belief in indeterministic choice. Accounts of this kind are historically liable to overgeneralization. The pair of accounts defended in Shaun Nichols’ recent book, Bound: Essays on Free Will and Responsibility, are the most complete (...) and empirically plausible representatives of this strategy. I argue that both accounts ultimately fail, and overgeneralization worries remain for Spinozan strategists. (shrink)

In this article we study the question of free will from an interdisciplinary angle, drawing on philosophy, neurobiology and physics. We start by reviewing relevant neurobiological findings on the functioning of the brain, notably as presented in (Koch 2009); we assess these against the physics of (in)determinism. These biophysics findings seem to indicate that neuronal processes are not quantum but classical in nature. We conclude from this that there is little support for the existence of an immaterial (...) ‘mind’, capable of ruling over matter independently of the causal past. But what, then, can free will be ? We propose a compatibilist account that resonates well with neurobiology and physics, and that highlights that free will comes in degrees – degrees which vary with the conscious grasp the ‘free’ agent has over his actions. Finally, we analyze the well-known Libet experiment on free will through the lens of our model. We submit this interdisciplinary investigation as a typical case of naturalized philosophy: in our theorizing we privilege assumptions that find evidence in science, but our conceptual work also suggests new avenues for research in a few scientific disciplines. (shrink)

Clarifies these two concepts that figure so prominently not only in discussions of free will but also in theories of scientific explanation. The question of the status of scientific explanation in an indeterministic world arises repeatedly in subsequent chapters of this book. Even if we do not yet have the final word on the truth or falsity of indeterminism, we need to take account of its possibility in framing philosophical theories of scientific explanations. This essay presents the “received (...) philosophical opinion” on determinism, criticized by John Earman as confused and mistaken, and suggests ways to correct the most egregious errors of the received view. (shrink)

Theories of free will are often measured against how well they capture everyday intuitions about free will. But what are these everyday intuitions, and what theoretical commitments do they express? Empirical methods have delivered mixed messages. In response, some free will theorists have developed error theories to undermine the credentials of countervailing intuitions. These efforts are predicated on the idea that people might misunderstand determinism in any of several ways. This paper sheds light (...) on the comprehension problem. We first discuss recent efforts to explain systematic errors in how people interpret determinism. Then, we present the alarming results of two new preregistered studies exploring three types of comprehension failure: (a) epiphenomenal bypassing, (b) fatalistic bypassing, and (c) indeterministic intrusion. Our findings suggest that misunderstanding runs deeper than others have supposed. This casts doubt on existing models of commonsense thinking about free will. Unless and until researchers properly control for the kinds of misunderstandings we identify, research on free will intuitions cannot shed light on whether ordinary thinking reflects commitments to compatibilism or incompatibilism. (shrink)

Supervenient libertarianism maintains that indeterminism may exist at a supervening agency level, consistent with determinism at a subvening physical level. It seems as if this approach has the potential to break the longstanding deadlock in the free will debate, since it concedes to the traditional incompatibilist that agents can only do otherwise if they can do so in their actual circumstances, holding the past and the laws constant, while nonetheless arguing that this ability is compatible with physical (...) determinism. However, we argue that supervenient libertarianism faces some serious problems, and that it fails to break us free from this deadlock within the free will debate. (shrink)