We treat here three apparently uncorrelated topics from the point of view of dense measurement: The EPR paradox, the teleportation process, and Wheeler's delayed-choice experiment (DCE). We begin with the DCE and show, using its unique nature and the histories formalism, that use may ascertain and fix the notion of dense measurement (the Zeno effect). We show here by including the experimenter (observer) as an inherent part of the physical system and using the Aharonov–Vardi notion of dense measurement (...) along a path, that knowledge of certain properties of the incoming system (after a measurement) is equivalent to dense measurement. We reach the same conclusion by discussing the teleportation process, and the EPR paradox from, the same point of view. (shrink)

The so-called quantum Zeno effect is essentially a consequence of the projection postulate for ideal measurements. To test the effect, Itanoet al. have performed an experiment on an ensemble of atoms where rapidly repeated level measurements were realized by means of short laser pulses. Using dynamical considerations, we give an explanation why the projection postulate can be applied in good approximation to such measurements. Corrections to ideal measurements are determined explicitly. This is used to discuss how far (...) the experiment of Itanoet al. can be considered as a test of the quantum Zeno effect. We also analyze a new possible experiment on a single atom where stochastic light and dark periods can be interpreted as manifestation of the quantum Zeno effect. We show that the measurement point of view gives a quick and intuitive understanding of experiments of the above type, although a finer analysis has to take the corrections into account. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Beyond Ratzinger's Republic:Communio's Postliberal TurnSam Zeno Conedera S.J. and Vincent L. Strand S.J.Is the political future of the West a postliberal one? For the past decade, numerous prominent thinkers in America and Europe have been debating this question. Matters that not long ago were merely of historical interest, such as Pope Gelasius I's understanding of the relation between sacral authority and royal power, Thomas Aquinas's thought on monarchy (...) and Robert Bellarmine's theory of the pope's indirect authority in temporal matters are now increasingly studied for their potential answers to contemporary political questions. This development, which would have been nearly unimaginable just a decade earlier, unsurprisingly has been led by Catholics. We say "unsurprisingly" in view of the long pre-modern tradition of Catholic political thought, as well as the Church's long struggle against liberalism during the nineteenth and early twentieth centuries. Some of the current postliberal writers explicitly connect themselves to both of these aspects by using the term "integralist" to describe their position.1 [End Page 889]This "new integralism" represents a radical departure from the mainstream of Catholic political discourse of the last half century, which has largely sought rapprochement with Western liberalism. A group of writers, led by John Courtney Murray, George Weigel, Michael Novak, and Robert George, have held that the American constitutional order is rooted in the natural law tradition, and therefore is basically friendly to Catholic political thought. The Church's role in American life, they say, is upholding the natural law as a public moral philosophy, while embracing the non-establishment clause of the First Amendment as a matter of principle, in accordance with the teachings of the Second Vatican Council. This "Whig Thomism," which for decades represented the predominant outlook of conservative American Catholics, must now face the challenge of a different sort of Thomism represented by the integralists.2While the engagement between Whig Thomists and integralists has received most of the attention from scholars and journalists alike, another postliberal option has emerged in recent years. Its source is a group of Catholic thinkers associated with the Communio theological movement. Their political vision, which has no single name or label, has a complex and subtle relationship with the thought of earlier Communio writers, most of whom shared the Whig Thomist desire for reconciliation with Western liberalism. [End Page 890] The appearance of a Communio postliberalism therefore represents a significant development within this intellectual tradition. The most important representative of the earlier Communio perspective on political questions is Joseph Ratzinger / Pope Benedict XVI, who has recently been lauded as the "most important Catholic thinker of the twentieth century" on matters at the intersection of theology and politics.3In an article titled "Ratzinger's Republic" that appeared in these pages in 2020, we identified a significant tension in his thought about the Church's contribution to political life.4 Exploring Ratzinger's writings on natural law, we demonstrated that two currents are present. In accord with his fundamental theological commitments about nature and grace and about faith and reason, Ratzinger often questioned the effectiveness of arguments from natural law. He claimed that, since reason is historically conditioned, and therefore in the current order marked by sin, reason needs grace and faith to function properly. Yet, on other occasions, Ratzinger strongly endorsed arguments from natural law, highlighting its role as the foundation of a just democratic political order. We traced this ambivalence about natural law back to a dilemma at the heart of Ratzinger's political thought. On the one hand, in accord with his thinking about the relations of nature and grace and faith and reason, Ratzinger argued that the state needs the Church to supply moral values that the state cannot furnish on its own. On the other hand, he believed it belongs to the very nature of the Church to be separate from the state, and he endorsed nonconfessional, religiously pluralistic states.5 In light of these two commitments, Ratzinger argued that the contribution Christians are to make to the state is to supply moral values that were discerned under the influence of grace and divine revelation but... (shrink)

Even in a theory corroboration context, attention to effect size is called for if significance testing is to be of any value. I sketch a Popperian construal of significance tests that better fits into scientific inference as a whole. Because of its many errors Chow's book cannot be recommended to the novice.

A Zenonian supertask involving an infinite number of identical colliding balls is generalized to include balls with different masses. Under the restriction that the total mass of all the balls is finite, classical mechanics leads to velocities that have no upper limit. Relativistic mechanics results in velocities bounded by that of light, but energy and momentum are not conserved, implying indeterminism. The notion that both determinism and the conservation laws might be salvaged via photon creation is shown to be flawed.

A Zenonian supertask involving an infinite number of identical colliding balls is generalized to include balls with different masses. Under the restriction that the total mass of all the balls is finite, classical mechanics leads to velocities that have no upper limit. Relativistic mechanics results in velocities bounded by that of light, but energy and momentum are not conserved, implying indeterminism. The notion that both determinism and the conservation laws might be salvaged via photon creation is shown to be flawed.

The quantum Zeno effect is often studied and understood in term of nonunitary evolutions, involving projections à la von Neumann (measurements). We propose a dynamical explanation of this effect, which involves only unitary operators. The limit of infinitely frequent measurements is critically discussed: it is unphysical, yet interesting and peculiar.

A simple exactly solvable model is given of the dynamical coupling between a person’s classically described perceptions and that person’s quantum mechanically described brain. The model is based jointly upon von Neumann’s theory of measurements and the empirical findings of close connections between conscious intentions and synchronous oscillations in well separated parts of the brain. A quantum-Zeno-effect-based mechanism is described that allows conscious intentions to influence brain activity in a functionally appropriate way. The robustness of this mechanism in (...) the face of environmental decoherence effects is emphasized. (shrink)

The quantum Zeno effect (QZE) is often associated with the ironic maxim, “a watched pot never boils”, although the notion of “watching” suggests a continuous activity at odds with the usual (pulsed measurement) presentation of the QZE. We show how continuous watching can provide the same halting of decay as the usual QZE, and, for incomplete hindrance, we provide a precise connection between the interval between projections and the response time of the continuous observer. Thus, watching closely, but (...) not so closely as to halt the “boiling”, is equivalent to—gives the same degree of partial hindrance as—pulsed measurements with a particular pulsing rate. Our demonstration is accomplished by treating the apparatus for the continuous watching as a fully quantum object. This in turn allows us a second perspective on the QZE, in which it is the modified level structure of the combined system/apparatus Hamiltonian that slows the decay. This and other considerations favor the characterization “dominated time evolution” for the QZE. (shrink)

A familiar interpretation of quantum mechanics (one of a number of views sometimes labeled the "Copenhagen interpretation'"), takes its empirical apparatus at face value, holding that the quantum wave function evolves by the Schrödinger equation except on certain occasions of measurement, when it collapses into a new state according to the Born rule. This interpretation is widely rejected, primarily because it faces the measurement problem: "measurement" is too imprecise for use in a fundamental physical theory. We argue that this is (...) a weak objection, as there may be many ways of making "measurement" precise. However, measurement-collapse interpretations face a more serious objection: a dilemma tied to the quantum Zeno effect. Is measurement itself an observable that can enter superpositions? If yes, then the standard measurement-collapse dynamics is ill-defined. If no, then (at least if measurement is an observable), measurements can never start or finish. The best way out is to deny that measurement is an observable, but this leads to strong and revisionary consequences. This reinforces the view that there is no nonrevisionary interpretation of quantum mechanics. (shrink)

We argue that not all cases of before-effect involve causation and ask how to demarcate cases of before-effect in which the events that follow exert causal influence over the before-effect from cases in which they do not.

Decoherence is one of the most serious drawback in quantum mechanical applications. We discuss the effects of noise in superconducting devices (Josephson junctions) and suggest a decoherence-control strategy based on the quantum Zeno effect.

A model of Zeno's dichotomy paradox is presented in Newtonian collision mechanics. One of several resolutions of the paradox illustrates the point that even in Newtonian ontology there is a spacetime weave. In a Newtonian system in which the base rules permit only spatial contact interactions, we find the mechanical emergence of action-at-a-distance effects.

The present study partly supports, partly corrects, and partly complements recent discussions of Arius Didymus fr. 23 and fr. 25 Diels, Aetius I, 20, 1 and Sextus Empiricus AM X, 3-4 = PH III, 124. It proposes a comprehensive interpretation of the first text (A.I), defends the attribution of its content to Zeno of Citium (A.II), interprets the Stoic definitions of space, place and void to be found in the other sources (B.I) and again vindicates the attribution of the (...) core definitions to Zeno (B.II). The central methodological principle is the presumption of innocence for sources.The main conclusions of (A) are: 1. Arius Didymus' fr. 23 deals only with the coherence and the structure of the cosmos, not with its immobility; 2. The coherence of the cosmos, as that of any object, is determined by its hexis which pushes its parts towards its centre; 3. The structure of the cosmos, its stratification into the four concentric spheres of the elements, is determined by the combined effect of (a) the thrust downwards they all undergo from the cosmos' hexis; (b) their own natural weight or lightness and (c) the relative quantitative values of these weights or lightnesses; 4. The reasons adduced against Zeno's authorship are not based on the evidence but on the now prevalent disparaging sceptical approach towards Stobaeus' way of excerpting from Arius.The main conclusions of (B) are: 1. There is no deep contradiction between the various de finitions of space ascribed by our sources to Zeno, Chrysippus and the Stoics in general: what Chrysippus denied was the form of the de finition attributed to Zeno by Aetius, not the concept de fined, even though this form seems to have prevailed later in the school; 2. There is no good reason therefore to question its ascription to Zeno as some modern researchers have done; 3. Here again the error is due to a predominantly sceptical approach towards the reliability of our sources. (shrink)

The homogeneity of time (i.e. the fact that there are no privileged moments) underlies a fundamental symmetry relating to the energy conservation law. On the other hand the obvious asymmetry between past and future, expressed by the metaphor of the arrow of time or flow of time accounts for the irreversibility of what happens. One takes this for granted but the conceptual tension it creates against the background of time''s presumed homogeneity calls for an explanation of temporal becoming. Here, it (...) is approached with the help of a claim to the effect that the instant (moment) itself has a structure isomorphic to that of time as a whole. Then the asymmetry of past and future in regard to temporal becoming is associated with the internal structure of the very moment, and not with external relations between different moments of time. In this paper ideas of ancient atomism and contemporary dialectics are brought together. It is for the sake of a contrast to what is known as logical atomism that I choose to call this view dialectical atomism. The latter admits dialectical contradictions and, so far as the logical status of contradictions is concerned, bears reference to paraconsistent logics. In the paper there is an outline of a method of converting any consistent axiomatic formal system into a paraconsistent theory. (shrink)

A Gedanken experiment is presented where an excited and a ground-state atom are positioned such that, within the former’s half-life time, they exchange a photon with 50% probability. A measurement of their energy state will therefore indicate in 50% of the cases that no photon was exchanged. Yet other measurements would reveal that, by the mere possibility of exchange, the two atoms have become entangled. Consequently, the “no exchange” result, apparently precluding entanglement, is non-locally established between the atoms by this (...) very entanglement. This quantum-mechanical version of the ancient Liar Paradox can be realized with already existing transmission schemes, with the addition of Bell’s theorem applied to the no-exchange cases. Under appropriate probabilities, the initially-excited atom, still excited, can be entangled with additional atoms time and again, or alternatively, exert multipartite nonlocal correlations in an interaction free manner. When densely repeated several times, this result also gives rise to the Quantum Zeno effect, again exerted between distant atoms without photon exchange. We discuss these experiments as variants of interaction-free-measurement, now generalized for both spatial and temporal uncertainties. We next employ weak measurements for elucidating the paradox. Interpretational issues are discussed in the conclusion, and a resolution is offered within the Two-State Vector Formalism and its new Heisenberg framework. (shrink)

The Effectiveness of Causes presents a strong view of causation seen as an operation between participants in events, and not as a relation holding between events themselves. In it, Emmet proposes that other philosophical views of cause and effect provide only a world of events, each of which is presented as an unchanging unit. Such a world, she contends, is a “Zeno universe,” since transitions and movement are lost. Emmet offers a more complex interpretation of the various forms (...) of causal dependence. She sees “immanent” causation in the mere persistence of things, where effects are not temporarily separable from causes, and she considers the operation of “efficacious grace.” This is a new approach to the traditional problem and provides stimulating implications for the other metaphysical questions and for the philosophy of science. (shrink)

It is well known that successive observations of the instantaneous state of a decaying system lead to a modified decay law. In the limit of infinitely frequent observations, the modified lifetime becomes infinite (“Zeno's paradox”). We study here the behavior of decaying systems under continuous rather than successive observations. Such continuous observation is achieved by a permanent coupling of the decaying system to a counter, which is sufficiently sensitive to the presence of the decay products. For two explicitly soluble (...) models we obtain a result very similar to Zeno's paradox: The observation again strongly modifies the decay law, and prevents the decay completely in the limit of a perfect (i.e., infinitely sensitive) counter. Like Zeno's paradox, however, this “watchdog effect” is not very likely to be detected in actual experiments, e.g., with radioactive nuclei. (shrink)

I discuss the quantum mechanical theory of consciousness and freewill offered by Stapp (1993, 1995, 2000, 2004). First I show that decoherence-based arguments do not work against this theory. Then discuss a number of problems with the theory: Stapp's separate accounts of consciousness and freewill are incompatible, the interpretations of QM they are tied to are questionable, the Zeno effect could not enable freewill as he suggests because weakness of will would then be ubiquitous, and the holism of (...) measurement in QM is not a good explanation of the unity of consciousness for essentially the same reason that local interactions may seem incapable of accounting for it. (shrink)

Does consciousness collapse the quantum wave function? This idea was taken seriously by John von Neumann and Eugene Wigner but is now widely dismissed. We develop the idea by combining a mathematical theory of consciousness (integrated information theory) with an account of quantum collapse dynamics (continuous spontaneous localization). Simple versions of the theory are falsified by the quantum Zeno effect, but more complex versions remain compatible with empirical evidence. In principle, versions of the theory can be tested by (...) experiments with quantum computers. The upshot is not that consciousness-collapse interpretations are clearly correct, but that there is a research program here worth exploring. (shrink)

A primary function of mind is to form and manipulate representations to identify and choose survival-enhancing behaviors. Representations are themselves physical systems that can be manipulated to reason about, predict, or plan actions involving the objects they designate. The field of knowledge representation and reasoning turns representation upon itself to study how representations are formed and used by biological and computer systems. Some of the most versatile and successful KRR methods have been imported from computational physics. Features of a problem (...) are mapped onto dimensions of an imaginary physical system in which solution quality is inversely related to energy. Simulating the fictitious physical system on a digital computer yields a low-energy, and hence high-quality, solution to the original problem. This paper suggests a rethinking of the traditional metaphor of cognition as execution of algorithms on a digital computer. It may be both more fruitful and more accurate to conceive of representation as mapping problem features to an energy surface, learning as identifying representations that map good solutions to low free energy, and problem solving as efficient search for low free energy states. This conception of cognition is in natural accord with Stapp's theory of efficacious conscious choice. Normal 0 false false false EN-US X-NONE X-NONE /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Table Normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-priority:99; mso-style-qformat:yes; mso-style-parent:""; mso-padding-alt:0in 5.4pt 0in 5.4pt; mso-para-margin:0in; mso-para-margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:11.0pt; font-family:"Calibri","sans-serif"; mso-ascii-font-family:Calibri; mso-ascii-theme-font:minor-latin; mso-fareast-font-family:"Times New Roman"; mso-fareast-theme-font:minor-fareast; mso-hansi-font-family:Calibri; mso-hansi-theme-font:minor-latin; mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:minor-bidi;} Normal 0 false false false EN-US X-NONE X-NONE /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Table Normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-priority:99; mso-style-qformat:yes; mso-style-parent:""; mso-padding-alt:0in 5.4pt 0in 5.4pt; mso-para-margin:0in; mso-para-margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:11.0pt; font-family:"Calibri","sans-serif"; mso-ascii-font-family:Calibri; mso-ascii-theme-font:minor-latin; mso-fareast-font-family:"Times New Roman"; mso-fareast-theme-font:minor-fareast; mso-hansi-font-family:Calibri; mso-hansi-theme-font:minor-latin; mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:minor-bidi;}. (shrink)

Examining the notion of wavefunction collapse (WFC) in quantum measurements, which came again to be in question in the recent debate on the quantum Zeno effect, we remark that WFC is realized only through decoherence among branch waves by detection, after a spectral decomposition process from an initial object wavefunction to a superposition of branch waves corresponding to relevant measurement propositions. We improve the definition of the decoherence parameter, so as to be fitted to general cases, by which (...) we can quantitatively estimate the degree of WFC given by detectors. Finally, we briefly discuss whether two special detector models, with very huge and very small degrees of freedom, can provoke WFC. (shrink)

The work interprets experimental data for the heat capacity of Zn22 in the region of second-order phase transitions. The proposed understanding of the processes occurring during phase transitions may be helpful to reveal quantum Zeno effects in metal–organic frameworks with evolving structural subsystems and to establish relations between quantum measurements and the entropy of phase transitions.

Orthodox Copenhagen quantum theory renounces the quest to understand the reality in which we are imbedded, and settles for practical rules describing connections between our observations. Many physicist have regarded this renunciation of our effort describe nature herself as premature, and John von Neumann reformulated quantum theory as a theory of an evolving objective universe interacting with human consciousness. This interaction is associated both in Copenhagen quantum theory and in von Neumann quantum theory with a sudden change that brings the (...) objective physical state of a system in line with a subjectively felt psychical reality. The objective physical state is thereby converted from a material substrate to an informational and dispositional substrate that carries both the information incorporated into it by the psychical realities, and certain dispositions for the occurrence of future psychical realities. The present work examines and proposes solutions to two problems that have appeared to block the development of this conception of nature. The first problem is how to reconcile this theory with the principles of relativistic quantum field theory; the second problem is to understand whether, strictly within quantum theory, a person's mind can affect the activities of his brain, and if so how. Solving the first problem involves resolving a certain non-locality question. The proposed solution to the second problem is based on a postulated connection between effort, attention, and the quantum Zeno effect. This solution explains on the basic of quantum physics a large amount of heretofore unexplained data amassed by psychologists. (shrink)

Panpsychism is the doctrine that mind is a fundamental feature of the world existing throughout the universe. One problem with panpsychism is that it is a purely theoretical concept so far. For progress towards an operationalization of the idea, this paper suggests to make use of an ontological difference involved in the mind-matter distinction. The mode in which mental phenomena exist is called presence. The mode in which matter and radiation exist is called reality Physical theory disregards presence in both (...) the form of mental presence and the form of the temporal present In contrast to mental presence the temporal present is objective in the perspective of the third person. This relative kind of objectivity waits to be utilized for a hypothesis of how the mental and the physical are interrelated In order to do so this paper translates the mind-matter distinction into the distinction between mental and physical time and addresses the problem that panpsychism tries to attack head-on in these temporal terms. There are in particular , two issues thus getting involved: discussions about a time observable and the quantum Zeno effect. (shrink)

Arguments pertaining to the mind-brain connection and to the physical effectiveness of our conscious choices have been presented in two recent books, one by John Searle, the other by Jaegwon Kim. These arguments are examined, and it is explained how the encountered difficulties arise from a defective understanding and application of a pertinent part of contemporary science, namely quantum mechanics. The principled quantum uncertainties entering at the microscopic levels of brain processing cannot be confined to the micro level, but percolate (...) up to the macroscopic regime. To cope with the conflict between the resulting macroscopic indefiniteness and the definiteness of our conscious experiences, orthodox quantum mechanics introduces the idea of agent-generated probing actions, each of which specifies a definite set of alternative possible empirically/experientially distinguishable outcomes. Quantum theory then introduces the mathematical concept of randomness to describe the probabilities of the various alternative possible outcomes of the chosen probing action. But the agent-generated choice of which probing action to perform is not governed by any known law or rule, statistical or otherwise. This causal gap provides a logical opening, and indeed a logical need, for the entry into the dynamical structure of nature of a process that goes beyond the currently understood quantum mechanical statistical generalization of the deterministic laws of classical physics. The well-known quantum Zeno effect can then be exploited to provide a natural process that establishes a causal psychophysical link within the complex structure consisting of a stream of conscious experiences and certain macroscopic classical features of a quantum mechanically described brain. This naturally created causal link effectively allows consciously felt intentions to affect brain activity in a way that tends to produce the intended feedback. This quantum mechanism provides an eminently satisfactory alternative to the classical physics conclusion that the physical present is 1 completely determined by the physical past, and hence provides a physicsbased way out of the dilemma that Searle and Kim tried to resolve by philosophical analysis.. (shrink)

My purpose in this essay is to provide a critical survey of arguments within recent analytic philosophy regarding the so-called “mind-body problem” with a particular view toward the relationship between these arguments and the philosophy of A.N. Whitehead (and Charles Hartshorne’s closely related views).1In course, I shall argue that Whitehead’s panexperientialist physicalism avoids paradoxes and difficulties of both materialist-physicalism and Cartesian dualismas advocated by a variety of analytic philosophers. However, and I believe that this point is not often sufficiently recognized, (...) analytic philosophy of mind is no monolith, and there are those who have found some form of panexperientialism to be attractive enough to merit serious consideration or even full-fledgedacceptance (David Chalmers, Thomas Nagel, Ralph Pred, William Seager, and Galen Strawson among them). A critical discussion of such thinkers should beincluded in any adequate survey of the relation between process panexperientialism and the analytic tradition. Moreover, the revisionary strain of the analyticaltradition which looks to natural science for its construction of worldviews (Broad, Russell, Bunge, Carnap, Quine, etc.) would move us in the direction of examining arguments concerning Whitehead’s view and contemporary empirical scientific considerations. (For a discussion of the basic nature of analytic philosophy and the descriptive and revisionary approaches contained within it, see my Process and Analysis, 5-9, 12-13, 57; and McHenry.) Here I shall argue that Whiteheadian panexperientialism very naturally accommodates important aspects of quantum theory, including the top-down causation involved in neuroplastic phenomena under a quantum mechanical interpretation of brain processes and in so-called Quantum Zeno Effect. The overall picture which emerges is that Whitehead’s position is (at the very least) a strongly plausible alternative in philosophy of mind.While I must confess that this essay can only represent the merest sketch—indeed an adequate treatment of the richly complex interpretive, comparative, and substantive philosophical issues here requires at the very least a monograph—I nonetheless hope to present a coherent and useful précis of major arguments and comparative conceptual relationships, especially for the reader who may not be readily familiar with this terrain. I thus hope that this essay will serve as a short expository and critical introduction to the interface between process and analytic philosophy of mind, and a presentation of the several theoretical advantages gained by listening to Whitehead’s theory as it connects with concerns of analytic philosophers.I shall proceed by first working though the main outlines of John Searle’s important and widely reaching “The Recent History of Materialism,” an essay which exposes critical flaws in a variety of materialist theories in ways which Whiteheadians should find especially fitting and congenial. I shall then examine defenses of dualism and the relation of Whitehead to such defenses, followed by a separate section on Chalmers, Nagel, and Pred. I will then consider a number ofimportant objections to process panexperientialism, including objections arising from the work of Jaegwon Kim and John Searle. I close with a discussion of thementioned empirical scientific arguments. (shrink)

This paper provides a general method for defining a generalized quantum observable that supplies properly normalized conditional probabilities for the time of occurrence. This method treats the time of occurrence as a probabilistic variable whose value is to be determined by experiment and predicted by the Born rule. This avoids the problematic assumption that a question about the time at which an event occurs must be answered through instantaneous measurements of a projector by an observer, common to both Rovelli and (...) Oppenheim et al.. I also address the interpretation of experiments purporting to demonstrate the quantum Zeno effect, used by Oppenheim et al. to justify an inherent uncertainty for measurements of times. (shrink)

This paper investigates the view that digital hypercomputing is a good reason for rejection or re-interpretation of the Church-Turing thesis. After suggestion that such re-interpretation is historically problematic and often involves attack on a straw man (the ‘maximality thesis’), it discusses proposals for digital hypercomputing with Zeno-machines , i.e. computing machines that compute an infinite number of computing steps in finite time, thus performing supertasks. It argues that effective computing with Zeno-machines falls into a dilemma: either they are (...) specified such that they do not have output states, or they are specified such that they do have output states, but involve contradiction. Repairs though non-effective methods or special rules for semi-decidable problems are sought, but not found. The paper concludes that hypercomputing supertasks are impossible in the actual world and thus no reason for rejection of the Church-Turing thesis in its traditional interpretation. (shrink)

Despite changeability of the world, the human mind also ponders on those quantities that remain constant over time. This was the case in ancient times, in the middle ages, and the same applies in modern physics. This paper discusses i.a. Zenon paradoxes, the principle of inertia, and the Emma Noether theorem, ending with the modern, so-called Zeno’s quantum effect. The foot-notes concern the ancient “Achilles” paradox, spot speed, as well as some of the facts taken out of the (...) life-history of Emma Noether, as well as the example of applying her theorem. (shrink)

In “Quantum Evolution”, Johnjoe McFadden makes far-reaching claims for the importance of quantum physics in the solution of problems in biological science. In this review, I shall discuss the relevance of unitary wavefunction dynamics to biological systems, analyse the inverse quantum Zeno effect, and argue that McFadden’s use of quantum theory is deeply flawed.

Ever since the early days of quantum mechanics it has been suggested that consciousness could be linked to the collapse of the wave function. However, no detailed account of such an interplay is usually provided. In this paper we present an objective collapse model where the collapse operator depends on integrated information, which has been argued to measure consciousness. By doing so, we construct an empirically adequate scheme in which superpositions of conscious states are dynamically suppressed. Unlike other proposals in (...) which “consciousness causes the collapse of the wave function,” our model is fully consistent with a materialistic view of the world and does not require the postulation of entities suspicious of laying outside of the quantum realm. (shrink)

Zeno's famous paradox of the flying arrow, and the statements made in efforts to solve it by Hegel and Engels to the effect that a moving body is, at a given instant, both in and not in a given place, reveal, on the one hand, the objective contradictoriness of motion and, on the other, the difficulty of explaining it within the framework and method of formal logic. The elevation of the laws of formal logic to an absolute, and (...) the exaggeration of its role have led certain writers to deny the truth of Hegel's and Engels' statement. It was shown that no body can simultaneously be and not be in a given place, and that, in describing motion, one should, instead of employing this mode of expression, merely say that the body is shifting, and successively passes one point after another. This passage is motion as an objectively non-contradictory process. (shrink)

An analysis of the two routes through which one may disentangle a quantum system from a measuring apparatus, hence protect the state vector of a single quantum system from being disturbed by the measurement, reveals several loopholes in the argument from protective measurement to the reality of the state vector of a single quantum system.

The classical response to Zeno’s paradoxes goes like this: ‘Motion cannot properly be defined within an instant. Only over a period’ (Vlastos.) I show that this ob-jection is exactly what it takes for Zeno to be right. If motion cannot be defined at an instant, even though the object is always moving at that instant, motion cannot be defined at all, for any longer period of time identical in content to that instant. The nonclassical response introduces discontinuity, to (...) evade the paradox of infinite proximity of any point of a distance with any ‘next’. But it introduces the wrong sort of discontinuity because, rather than assuming the discontinuity of motion, as Quantum Theory does, it assumes the discontinuity of space. Due then to the resulting spacetime disorder, though all else is certainly lost, the Tortoise now turns up at least as fast as Achilles and hence not even this much is rescued. Zeno rejects motion because he shows that a moving object must be where it is not. Hence motion, if to occur, must violate the Law of Contradiction (LNC). Applying the concept of quantum discontinuity, I produce an alternative. If an object is to move discontinuously between two boundary points, A and B, what actually obtains is, rather, that it is nowhere at all in-between A and B. And cannot therefore be at two places in-between A and B. And cannot therefore be where it is not. Thus, LNC is conserved. However, in these conditions, the Law of the Excluded Middle (LEM) fails. To mitigate the undesirability of this effect, I show that LEM fails because LNC holds. Thus, the resulting nonbivalent logic, which is also appropriate for quantized transitions of all kinds, will always turn up nonbivalent, because consistent. And this is not too bad, considering. (shrink)

The classical response to Zeno’s paradoxes goes like this: ‘Motion cannot properly be defined within an instant. Only over a period’ (Vlastos.) I show that this ob-jection is exactly what it takes for Zeno to be right. If motion cannot be defined at an instant, even though the object is always moving at that instant, motion cannot be defined at all, for any longer period of time identical in content to that instant. The nonclassical response introduces discontinuity, to (...) evade the paradox of infinite proximity of any point of a distance with any ‘next’. But it introduces the wrong sort of discontinuity because, rather than assuming the discontinuity of motion, as Quantum Theory does, it assumes the discontinuity of space. Due then to the resulting spacetime disorder, though all else is certainly lost, the Tortoise now turns up at least as fast as Achilles and hence not even this much is rescued. Zeno rejects motion because he shows that a moving object must be where it is not. Hence motion, if to occur, must violate the Law of Contradiction (LNC). Applying the concept of quantum discontinuity, I produce an alternative. If an object is to move discontinuously between two boundary points, A and B, what actually obtains is, rather, that it is nowhere at all in-between A and B. And cannot therefore be at two places in-between A and B. And cannot therefore be where it is not. Thus, LNC is conserved. However, in these conditions, the Law of the Excluded Middle (LEM) fails. To mitigate the undesirability of this effect, I show that LEM fails because LNC holds. Thus, the resulting nonbivalent logic, which is also appropriate for quantized transitions of all kinds, will always turn up nonbivalent, because consistent. And this is not too bad, considering. (shrink)

These comments on Eduardo Viveiros de Castro's article, “Zeno and the Art of Anthropology,” emphasize, first, his engagement with ideas of Gilles Deleuze that open to the political dimension of Amerindian perspectivism and to a “multinatural” understanding of human-to-environment relations; these form the foundation of postdevelopment action in this part of the world and orient actors' “postures of attention” to power relations. Second, this commentary raises questions concerning arrows—archetypal of the protentive element of Amerindian “speculative ontology” and, as such, (...) symbolic vehicles of a hopeful environmental consciousness and activism. The interesting point of arrows in this context is that their protention can and must take into account both forward- and also backward-looking time, in order to fulfill their promise of finding their mark. The matter of their intended effectiveness being sharply focused on the figures of their human sources, parabolic course, and targets, both reversals of direction and the ground they would traverse can be lost sight of. Ironically, focusing on figures invites attention to their backgrounds: expanses of earth or air and gaps between origin and contact can remind us, for example, of all that can interfere with or defeat intended goals, particularly in a lifeworld of multisited human and nonhuman agency. Overall, this response to Viveiros de Castro takes an aesthetico-political approach to his article. It comments on the important work of recognizing how uncemented values of Amerindians can be recombined with Western concepts to shape an ongoing “found object” relationship of Western and Amerindian intellectual traditions that is capable of addressing complexities of shifting power in modern times. (shrink)

In an earlier paper the authors discussed some super-tasks by means of a kinematical interpretation. In the present paper we show a semi-formal way that a more abstract treatment is possible. The core idea of our approach is simple: if a super-task can be considered as a union of (finite) tasks, it is natural to define the effect of the super-task as the union of the effects of the finite tasks it consists of. We show that this approach enables (...) us to handle two of the three super-tasks that we discussed earlier. We also argue that recent objections against our original kinematical interpretation do not hold water. One of our arguments is based on the construction of an elegant correspondence between the first of those three super-tasks and Zeno's Achilles and the Tortois. (shrink)

The contemplation of the end of life — life's ending — provokes the emotions of fear, alarm and despondency. Fears about the end of life are almost universal. The Stoic Zeno of Elea first analyzed the problem accurately when he pointed out what he thought the fundamental problems of human existence consisted of. He identified the fundamental anxieties as being fear of the gods and a fear of death. Both fears, he thought, could be therapeutically eliminated: fear of the (...) gods was pointless since they did not care about us, and fear of death could be rationalized away by reasonable philosophical argumentation. Without wishing to resurrect Zeno's arguments, one can safely say that he was spectacularly wrong in his view of the power of rational argument. The fears about life's ending are multifaceted. They consist of fears about the process of aging, the prospect of one's own dying and one's own death, and the fact that our lives and activities — as they are lived within the confines of our corporeal bodies — will come to an inevitable end.There are also problems and anxieties concerned with the fact that the passage of time and the visible effects it leaves on our physical selves make us conscious that, at some time or other, we are, like other material objects, subject to decay and wearing down. The process is a great equalizer and no one who lives long enough is spared the spectacle of witnessing and experiencing the gradual process of the decline of their physical powers and of their cognitive functions. No matter what sort of life has been led, the ending of that particular life is certain.In this paper I want to discuss some views about the nature of these fears about the later stages of life, aging, old age and death and their roots in the philosophical and metaphysical views we have come to endorse. (shrink)

This essay examines David Hume's principal criticism of the idea of the infinite divisibility of extension in the ink-spot experiment of _Treatise<D>, Book I, Part II, and his arguments for his positive theory of finitely divisible space as composed of finitely many sensible extensionless indivisibles or _minima sensibilia<D>. The essay considers Hume's strict finitist metaphysics of space in the context of his reactions to a trilemma about the impossibility of the divisibility of extension on any theory posed by Pierre Bayle (...) in the article on "Zeno of Elea" in his _Dictionary Historical and Critical<D>. I evaluate Hume's arguments in light of complaints raised by contemporary commentators, and I compare the inference of the _Treatise<D> with Hume's final words on the subject, in the cryptic Berkeleyan 'hint' of the first _Enquiry<D>, to the effect that the idea of infinite divisibility is subject to general objections to 'all _abstract<D> reasonings'. (shrink)

_From the Introduction:_ "Stoic philosophy, of which Epictetus (c. a.d. 50–130) is a representative, began as a recognizable movement around 300 b.c. Its founder was Zeno of Cytium (not to be confused with Zeno of Elea, who discovered the famous paradoxes). He was born in Cyprus about 336 b.c., but all of his philosophical activity took place in Athens. For more than 500 years Stoicism was one of the most influential and fruitful philosophical movements in the Graeco-Roman world. (...) The works of the earlier Stoics survive only in fragmentary quotations from other authors, but from the Renaissance until well into the nineteenth century, Stoic ethical thought was one of the most important ancient influences on European ethics, particularly because of the descriptions of it by Cicero, through surviving works by the Stoics Seneca, Marcus Aurelius, and also Epictetus--and also because of the effect that it had had in antiquity, and continued to have into the nineteenth century, on Christian ethical views. Nowadays an undergraduate or graduate student learning about ancient philosophy in a university course may well hear only about Plato and Aristotle, along perhaps with the presocratics; but in the history of Western thought and education this situation is somewhat atypical, and in most periods a comparable student would have learned as much or more about Stoicism, as well as two other major ancient philosophical movements, Epicureanism and Scepticism. In spite of this lack of explicit acquaintance with Stoic philosophers and their works, however, most students will recognize in Epictetus various ideas that are familiar through their effects on other thinkers, notably Spinoza, in our intellectual tradition.". (shrink)

Despite changeability of the world, the human mind also ponders on those quantities that remain constant over time. This was the case in ancient times, in the middle ages, and the same applies in modern physics. This paper discusses i.a. Zenon paradoxes, the principle of inertia, and the Emma Noether theorem, ending with the modern, so-called Zeno’s quantum effect. The foot-notes concern the ancient “Achilles” paradox, spot speed, as well as some of the facts taken out of the (...) life-history of Emma Noether, as well as the example of applying her theorem. (shrink)

The traditional distinction between social robots and service robots is gradually being eroded in the design, planning and public presentation of physically embodied artificial intelligence. The paper is mainly concerned with two case studies: a service robot named Spot, from Boston Dynamics, and two social robots named Kaspar and Zeno, advertised as useful therapeutic tools for children in the autistic spectrum. The discussion centers on three key factors that play a role in the affective responses robots may elicit in (...) the public: 1) the “uncanny valley effect,” i.e., the cognitive and affective dissonance that may be provoked by machines that are very close to reaching lifelike appearance, but fail to replicate it with respect to behavior, fine motor skills or perceptual cues. 2) the capacity to evoke affective responses thanks to the symbolic connotations that may be associated with the robot’s appearance. 3) The relevance of situational and contextual factors. -/- The paper reaches three conclusions: 1) producers sometimes fail to consider carefully the symbolic connotations that may be associated with the design chosen for their robots. 2) The context in which robots are meant to be used ought to play a more significant role in a fair-handed and pluralistic approach to robot production. 3) it is to be hoped that producers, in collaboration with psychologists and philosophers of emotion, extend their understanding of affectivity beyond the theories of basic emotions upon which they mostly rely. It is important and urgent to reflect on the relevance of social context with respect both to emotion recognition and to the affective response of the public. (shrink)

This paper studies the adaptive event-triggered finite-time tracking of output-constrained high-order nonlinear systems with time-varying powers. Due to the presence of multiple unknown powers and the consideration of event-triggered control, all the existing control methods of output-constrained nonlinear systems are inapplicable. By introducing nonlinear mappings, finite-time performance functions, and low-power and high-power terms into adding a power integrator technique and the relative threshold strategy, an adaptive state-feedback controller is designed to eliminate the effects caused by the output constraint and time-varying (...) powers. It is proved that all the closed-loop signals are bounded, the asymmetric time-varying output constraint is not violated, and the tracking error converges to a prescribed arbitrarily small region around zero in a preassigned finite time. Furthermore, the Zeno phenomenon can be avoided. Two simulation examples demonstrate the effectiveness of this control scheme. (shrink)

ABSTRACT: Although from the 2nd century BC to the 3rd AD the problems of determinism were discussed almost exclusively under the heading of fate, early Stoic determinism, as introduced by Zeno and elaborated by Chrysippus, was developed largely in Stoic writings on physics, independently of any specific "theory of fate ". Stoic determinism was firmly grounded in Stoic cosmology, and the Stoic notions of causes, as corporeal and responsible for both sustenance and change, and of effects as incorporeal and (...) as predicates, are indispensable for a full understanding of the theory. Stoic determinism was originally not presented as causal determinism, but with a strong teleological element, in the context of a theory of natural motions, which makes use of a distinction between a global and an inner-worldly perspective on events. However, Chrysippus also employed his conception of causality in order to explicate his determinism, and can be shown to have maintained a universal causal determinism in the modern sense of the erm. The teleological and mechanical elements of early Stoic determinism were brought together in Chrysippus' conception of fate, which places elements of rationality in every cause. (shrink)

Two versions of Peri tou mē ontos ptmo by Gorgias, related by an Anonymous Author MXG and by Sextus Empiricus SE, have been alternatively accredited by scholars according to their disposition to seek a doctrine or a rhetorical- communicational dimension respectively with the first tendency prevailing. Comparing the ptmo to the rest of Gorgiasʼ works, we verify and clearly demonstrate how SE manages to convey a precise modus argumentandi. In effect, SE shows Gorgias’ demonstrative reasoning as employing: 1 the (...) application of demonstrandum and quod erat demonstrandum typical of Gorgiasʼ speeches, reinforced by a substantial and abundant use of verbs of explanation and demonstration, especially in comparison to the rest of the same Against the Logicians’ section. Otherwise, MXG reduces this lexicon to the more generic phēmi; 2 the continuous employment of the reductio ad absurdum, like in all of Gorgias’ works; 3 a very refined formulation of the principle of non-contradiction §67, similar to the one seen in Pal. 25. In addition, MXG is accurate in the discussion of some arguments as in the third kephalaion, however, presents as an overcorrected interpreter, more interested in questioning Gorgias than reporting his original text, also directly referring to Zeno, Melissus, and Leucippus. The context of the ptmo in SE’s work the structure presented leads us to believe that SE had the text or at least an accurate summary of the ptmo different from MXG. The aims of this paper are: 1 to demonstrate that SE shows well the Gorgianic demonstrative reasoning and, for this specific reason, he is reliable and valuable resource for us; 2 to hypothesise that SE’s version is based on and independent as yet unknown source. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Joseph Margolis LITERATURE AND SPEECH ACTS The trivial truth that literature employs language has been fastened on regularly and repeatedly to spawn a remarkable variety of misconceptions. Most famously, in the context of aesthetics, it has led to the untenable thesis that all art is language,1 and to the more pointed claim that works of art somehow affirm propositions that may be linguistically rendered and straightforwardly judged true or (...) false. It has also embarrassed a good deal of theorizing about the nature of aesthetic experience and the aesthetic orientation, and has led to preposterous views about the aesthetic status of the literary arts and the exaggerated importance of words in literature. These developments are reasonably well known, partly because they form a venerable portion of the history of aesthetics, partly because the doctrines at stake take so many apparently persuasive guises—even in our own time. There are other views, however, also largely based on the example of literature, that are at once useful because they are corrective of other abuses and are in their turn prone to newer mistakes that bid fair to become fashionable. The ambivalent corrective I have in mind may be marked by the thesis that a work of art is an utterance of some sort. In effect, the thesis stresses the distortion that results from pretending to address art relevantly solely in terms of the palpable properties of some object or product—more or less on the model of examining a perceptually accessible physical object. Attention is required, on the theory, to the act or agency of the artist by which the work is "uttered," in a sense quite close to that in which a forger is said to "utter" a bad check: by this simple strategem, we are led to see that biographical, historical, intentional considerations are instructive about a work of art in an essential way and that the properties of an artwork cannot possibly be restricted to its merely sensory or sensuous features (if indeed, admitting conceptual art, a particular work has any such features at all). The proposal, therefore, is at least a heuristically useful one. Whether it ought also to be enshrined as definitional of 39 40Philosophy and Literature art is another question altogether, qualified partly by its being entirely possible to save the corrections without the thesis, partly by the debatable force of definitions themselves. A rather specialized but utterly misleading and unpromising version of the utterance theory maintains that literature as such, as well as such particularly important distinctions within literature as fiction, poetry, and metaphor, may be perspicuously defined or distinguished in terms of a speech-act model. We must be careful here. The general thesis that the phenomenon of language cannot be adequately analyzed apart from contextual considerations bearing on speakers' intentions, shared assumptions and background beliefs between speakers and hearers, and the actual histories of conversations and the like has now been abundantly confirmed by a variety of theorists—including, prominently, J. L. Austin, P. F. Strawson, H. P. Grice, John Searle, Keith Donnellan, George Lakoff, and Zeno Vendler. Still, the general concession that familiar syntactic and semantic studies of the phenomenon of language omit an entire dimension of language, as Austin so ably demonstrated, has rather little to say about the distinctions normally debated in the context of literary theory and the appreciation and criticism of literature. (This may well seem paradoxical. The argument has yet to be supplied.) But since the application of the speech-act model to literary analysis shows some tendency to attract advocates, it may be useful to draw explicit attention here to the inherent limitations and difficulties of the enterprise. Obviously, if language must be analyzed at least in part in terms of the context of performing speech acts, it will be impossible to ignore altogether the speech-act dimension of literary utterances. The question remains: what can and what cannot be illuminated by means of the speech-act model? Precisely how restricted a general speech-act model is—that is, one not restricted just to literature—can be seen at a stroke simply by noting that the meanings of sentences (i) cannot be equated with what speakers... (shrink)