Must rational thinkers have consistent sets of beliefs? I shall argue that it can be rational for a thinker to believe a set of propositions known to be inconsistent. If this is right, an important test for a theory of rational belief is that it allows for the right kinds of inconsistency. One problem we face in trying to resolve disagreements about putative rational requirements is that parties to the disagreement might be working with different conceptions of the relevant attitudes. (...) My aim is modest. I hope to show that there is at least one important notion of belief such that a thinker might rationally hold a collection of beliefs (so understood) even when the thinker knows their contents entail a contradiction. (shrink)

The main questions considered in this paper are the consistency of a variant of a set theory with intuitionistic logic, with Brouwer's principle and the investigation of the comparative power of the Church's Thesis' variants at the set theory level.

It is common in the literature on classical electrodynamics and relativity theory that the transformation rules for the basic electrodynamical quantities are derived from the hypothesis that the relativity principle applies to Maxwell's electrodynamics. As it will turn out from our analysis, these derivations raise several problems, and certain steps are logically questionable. This is, however, not our main concern in this paper. Even if these derivations were completely correct, they leave open the following questions: Is the RP a (...) true law of nature for electrodynamical phenomena? Are, at least, the transformation rules of the fundamental electrodynamical quantities, derived from the RP, true? Is the RP consistent with the laws of ED in a single inertial frame of reference? Are, at least, the derived transformation rules consistent with the laws of ED in a single frame of reference? Obviously, and are empirical questions. In this paper, we will investigate problems and. Abstract First we will give a general mathematical formulation of the RP. In the second part, we will deal with the operational definitions of the fundamental electrodynamical quantities. As we will see, these semantic issues are not as trivial as one might think. In the third part of the paper, applying what J. S. Bell calls “Lorentzian pedagogy”---according to which the laws of physics in any one reference frame account for all physical phenomena---we will show that the transformation rules of the electrodynamical quantities are identical with the ones obtained by presuming the covariance of the equations of ED, and that the covariance is indeed satisfied. Abstract As to problem, the situation is much more complex. As we will see, the RP is actually not a matter of the covariance of the physical equations, but it is a matter of the details of the solutions of the equations, which describe the behavior of moving objects. This raises conceptual problems concerning the meaning of the notion “the same system in a collective motion”. In case of ED, there seems no satisfactory solution to this conceptual problem; thus, contrary to the widespread views, the question we asked in the title has no obvious answer. (shrink)

Followers of traditional modes of ethical thinking rightly approachpostmodern philosophical methodologies with a certain enigma andsuspicion due to the latter’s tendency to swipe clean basic assumptionswhich had been historically accepted without question. Contemporarytheorists conceptually dig their way into complex labyrinths of noveldefinitions not only to establish the neotericity of their paradigms but also to disengage themselves from the tyranny of dogmatic conclusions that may inhibit their suppositions from being enclosed by established systems of thought. When the Principle of Generic (...) Consistency was introduced by Alan Gewirth in his most popular work Reason and Morality, it spurred numerous reactions, both pros and cons,1 as the principle offered to fulfill the utopian dream of establishing a rational foundation for human rights. The latter part of the book, together with subsequent articles and works, explained in detail how the principle could be applied to the intricacies of applied morality, such as the promotion of man’s well-being, and consequently, the fulfillment of his existence. This paper deals with the same path of Gewirth; only this time, it seeks to construct a rational bridge between a PGC-basedhuman self-fulfillment and the creation of a habitat that embodies hope for political harmony. Moreover, the PGC would not only be construed as the foundation for human rights, but also as a rational trail by which man’s relation with his fellow could serve to develop an intersubjective enhancement of freedom and well-being. (shrink)

It is common in the literature on electrodynamics and relativity theory that the transformation rules for the basic electrodynamical quantities are derived from the hypothesis that the relativity principle (RP) applies for Maxwell’s electrodynamics. As it will turn out from our analysis, these derivations raise several problems, and certain steps are logically questionable. This is, however, not our main concern in this paper. Even if these derivations were completely correct, they leave open the following questions: (1) Is (RP) a (...) true law of nature for electrodynamical phenomena? (2) Are, at least, the transformation rules of the fundamental electrodynamical quantities, derived from (RP), true? (3) Is (RP) consistent with the laws of electrodynamics in one single inertial frame of reference? (4) Are, at least, the derived transformation rules consistent with the laws of electrodynamics in one single frame of reference? Obviously, (1) and (2) are empirical questions. In this paper, we will investigate problems (3) and (4). First we will give a general mathematical formulation of (RP). In the second part, we will deal with the operational definitions of the fundamental electrodynamical quantities. As we will see, these semantic issues are not as trivial as one might think. In the third part of the paper, applying what J. S. Bell calls “Lorentzian pedagogy”—according to which the laws of physics in any one reference frame account for all physical phenomena— we will show that the transformation rules of the electrodynamical quantities are identical with the ones obtained by presuming the covariance of the coupled Maxwell–Lorentz equations, and that the covariance is indeed satisfied. As to problem (3), the situation is much more complex. As we will see, the relativity principle is actually not a matter of the covariance of the physical equations, but it is a matter of the details of the solutions of the equations, which describe the behavior of moving objects.. (shrink)

It is common in the literature on classical electrodynamics (ED) and relativity theory that the transformation rules for the basic electrodynamical quantities are derived from the hypothesis that the relativity principle (RP) applies to Maxwell’s electrodynamics. As it will turn out from our analysis, these derivations raise several problems, and certain steps are logically questionable. This is, however, not our main concern in this paper. Even if these derivations were completely correct, they leave open the following questions: (1) Is (...) the RP a true law of nature for electrodynamical phenomena? (2) Are, at least, the transformation rules of the fundamental electrodynamical quantities, derived from the RP, true? (3) Is the RP consistent with the laws of ED in a single inertial frame of reference? (4) Are, at least, the derived transformation rules consistent with the laws of ED in a single frame of reference? Obviously, (1) and (2) are empirical questions. In this paper, we will investigate problems (3) and (4). First we will give a general mathematical formulation of the RP. In the second part, we will deal with the operational definitions of the fundamental electrodynamical quantities. As we will see, these semantic issues are not as trivial as one might think. In the third part of the paper, applying what J. S. Bell calls “Lorentzian pedagogy”—according to which the laws of physics in any one reference frame account for all physical phenomena— we will show that the transformation rules of the electrodynamical quantities are identical with the ones obtained by presuming the covariance of the equations of ED, and that the covariance is indeed satisfied. As to problem (3), the situation is much more complex. As we will see, the RP is actually not a matter of the covariance of the physical equations, but it is a matter of the details of the solutions of the equations, which describe the behavior of moving objects. This raises conceptual problems concerning the meaning of the notion “the same system in a collective motion”.. (shrink)

Neo-Fregeans have been troubled by the Nuisance Principle, an abstraction principle that is consistent but not jointly satisfiable with the favored abstraction principle HP. We show that logically this situation persists if one looks at joint consistency rather than satisfiability: under a modest assumption about infinite concepts, NP is also inconsistent with HP.

The precautionary principle is a useful strategy for decision-making when physicians and patients lack evidence relating to the potential outcomes associated with various choices. According to a version of the principle defended here, one should take reasonable measures to avoid threats that are serious and plausible. The reasonableness of a response to a threat depends on several factors, including benefit vs. harm, realism, proportionality, and consistency. Since a concept of reasonableness plays an essential role in applying the (...) precautionary principle, this principle gives physicians and patients a decision-making strategy that encourages the careful weighing and balancing of different values that one finds in humanistic approaches to clinical reasoning. Properly understood, the principle presents a worthwhile alternative to approaches to clinical reasoning that apply expected utility theory to decision problems. (shrink)

The equivalence principle, being one of the building blocks of general relativity, seems to be crucial for analysis of quantum effects in gravity. In this paper we consider the relation between the equivalence principle and the consistency of quantum information processing in gravitational field. We propose an analysis with a looped evolution consisting of steps both in the gravitational field and in the accelerated reference frame. We show that without the equivalence principle the looped quantum evolution (...) cannot be unitary and looses its consistency. For this reasoning the equivalence principle is formulated in terms of the gauge transformations and is analyzed for particles acquiring an appropriate phase associated with the action over the looped path. In consequence, to keep consistency of quantum operations in gravitational field, it is required to keep a quantum variant of the equivalence principle. This proves importance of the quantized version of this fundamental gravitational principle for quantum information processing. (shrink)

The precautionary principle holds that we should not allow scientific uncertainty to prevent us from taking precautionary measures in response to potential threats that are irreversible and potentially disastrous. Critics of the principle claim that it deters progress and development, is excessively risk-aversive and is unscientific. This paper argues that the principle can be scientific provided that the threats addressed by the principle are plausible threats, and the precautionary measures adopted are reasonable. The paper also argues (...) that one may use epistemic criteria, such as consistency, coherence and explanatory power, to determine whether a threat is plausible, and that one may use practical considerations, such as effectiveness, proportionality, cost-effectiveness, realism and consistency, to determine whether a response to a threat is reasonable. (shrink)

The Holographic Principle holds that the information in any region of space and time exists on the surface of that region. Layers of the holographic, universal “now” go from the inception of the universe to the present. Universal Consciousness is the timeless source of actuality and mentality. Information is experience, and the expansion of the “now” leads to higher and higher orders of experience in the Universe, with various levels of consciousness emerging from experience. The brain consists of a (...) nested hierarchy of surfaces that range from the most elementary field through the neuron, neural group, and the whole brain. Evidence from the evolution and structure of the brain shows that optimal surface areas in a variety of structures are conserved with respect to underlying surfaces. Microgenesis, the becoming of the mental state through a process of recapitulation of development and evolution, is in full accord with the Holographic Principle. Evidence from a wide variety of contexts indicates the capacity on the mind for total recall of past life events and for access to universal information, indicating connection with the holographic surfaces of prior “nows” and with the Universal holographic boundary. In summation, the Holographic Principle can help us explain the unity and mechanisms of perception, experience, memory, and consciousness. (shrink)

Alan Gewirth’s claim that agents contradict that they are agents if they do not accept that the principle of generic consistency (PGC) is the supreme principle of practical rationality has been greeted with widespread scepticism. The aim of this article is not to defend this claim but to show that if the first and least controversial of the three stages of Gewirth’s argument for the PGC is sound, then agents must interpret and give effect to human rights (...) in ways consistent with the PGC, or deny that human beings are equal in dignity and rights (which idea defines human rights) or that they are agents (and hence subject to any rules at all). Implications for the interpretation of the international legal system of human rights inspired by the Universal Declaration of Human Rights 1948 are sketched. (shrink)

Against the charge that Kant's doctrine of radical evil is inconsistent and alien to his practical philosophy, my aim is to show its necessity within the critical system. First, I undermine the alleged vacuity of Kant's notion of evil by showing that, already in the Groundwork, an evil will is the necessary conceptual correlate of a good will. "Good" and "evil" characterize the agent's form of willing and represent the source of value of right and wrong actions. Then, I show (...) how the doctrine of radical evil derives from Kant's notion of evil. That evil lies at the level of an individual Gesinnung is the result of Kant's radicalizing the use of transcendental freedom. That there is a propensity to evil in the whole species is the result of Kant's naturalizing the principles of his moral psychology. Although Kant is not clear about this distinction, the consistency of his doctrine depends on indicating that an "evil Gesinnung" and the "propensity to evil" are not equivalent concepts. Rather, they refer to different units of moral analysis, the individual and the whole species, and represent a failure to comply with different types of moral obligation: the duty to realize the good and the duty to realize the highest good. The correlation between units of moral analysis and types of obligation explains the isomorphism that Kant detects between them, as well as their logical independence, without which the individual's choice of Gesinnung would be analytically contained in the species' choice of moral nature . Finally, to account for the problem of moral self-constitution I argue for the necessity of assuming a transcendental volitional structure, the unity of acknowledgement or "I will". At the different levels of analysis, this structure organizes the will's manifold intentions according to unifying principles that allow it to recognize them as its own. Although Kant does not mention it, the "I will" is a necessary assumption to account for the continuity of choice and for its possible imputation to an agent. (shrink)

This second book in the 'Middle Way Philosophy' series develops five general principles that are distinctive to the universal Middle Way as a practical response to absolutization. These begin with the consistent acknowledgement of human uncertainty (scepticism), and follow through with openness to alternative possibilities (provisionality), the importance of judging things as a matter of degree (incrementality), the clear rejection of polarised absolute claims (agnosticism) and the cultivation of cognitive and emotional states that will help us resolve conflict (integration).

One of the earliest discussions of the so-called 'bad company' objection to Neo-Fregeanism, I show that the consistency of an arbitrary second-order 'contextual definition' (nowadays known as an 'abstraction principle' is recursively undecidable. I go on to suggest that an acceptable such principle should satisfy a condition nowadays known as 'stablity'.

We postulate the Testing Principle : that individuals ''act like statisticians'' when they face uncertainty in a decision problem, ranking alternatives to the extent that available evidence allows. The Testing Principle implies that completeness of preferences, rather than the sure-thing principle , is violated in the Ellsberg Paradox. In the experiment, subjects chose between risky and uncertain acts in modified Ellsberg-type urn problems, with sample information about the uncertain urn. Our results show, consistent with the Testing (...) class='Hi'>Principle, that the uncertain urn is chosen more often when the sample size is larger, holding constant a measure of ambiguity (proportion of balls of unknown colour in the urn). The Testing Principle rationalises the Ellsberg Paradox. Behaviour consistent with the principle leads to a reduction in Ellsberg-type violations as the statistical quality of sample information is improved, holding ambiguity constant. The Testing Principle also provides a normative rationale for the Ellsberg paradox that is consistent with procedural rationality. (shrink)

Rédei and Gyenis suggest that Lewis’s Principal Principle is meaningful only if it satisfies certain consistency conditions: starting from any assignment of subjective probabilities to some algebra of events, we should always be able to extend our algebra with events of the form “the value of the objective probability of event E is p” and assign subjective probabilities to such events in a consistent manner. We show that this extension is indeed possible in most cases. However, we also (...) argue that this requirement is not necessary: the Principal Principle concerns subjective believes about objective chance, hence events concerning those probabilities are meant to be in the algebra initially, as Lewis’s text suggests clearly. (shrink)

According to Popper's rationality principle, agents act in the most adequate way according to the objective situation. I propose a new interpretation of the rationality principle as consisting of an idealization and two abstractions. Based on this new interpretation, I critically discuss the privileged status that Popper ascribes to it as an integral part of all social scientific models. I argue that as an idealization, the rationality principle may play an important role in the social sciences, but (...) it also has inherent limitations that inhibit it from having the privileged status that Popper ascribes to it in all cases. (shrink)

The first principle of Fichte’s philosophy, the Wissenschaftslehre, is “I am,” whereas the logical principle of identity is “A is A.” The relationship of Fichte’s philosophy to logic helps us understand the relation between the principles of these two disciplines. The first principle of the Wissenschaftslehre as an Act (Thathandlung) is the ground of consciousness and therefore renders logic possible as a science. Even though logic is grounded on the Wissenschaftslehre, the form of logic is used by (...) the latter to comprehend itself. The difference between logic and the Wissenschaftslehre consists in the fact that the former merely supplies a form and the latter contains both the form and the content. Logic arises from the Wissenschaftslehre through the free acts termed “abstraction” and “reflection.” In the Wissenschaftslehre, the form of logical propositions as equality, affirmation and substitution, are derived from the primordial act of the self-positing of the I. (shrink)

The Maximality Principle MPCCC is a scheme which states that if a sentence of the language of ZFC is true in some CCC forcing extension VP, and remains true in any further CCC-forcing extension of VP, then it is true in all CCC-forcing extensions of V, including V itself. A parameterized form of this principle, MPCCC, makes this assertion for formulas taking real parameters. In this paper, we show that MPCCC has the same consistency strength as ZFC, (...) solving an open problem of Hamkins. We extend this result further to parameter sets larger than R. (shrink)

This article, published originally in French just after the 1989 release of Jean-Luc Marion’s book Reduction and Givenness, consists of a sustained critical study of the manner in which Marion advances from the basic principles of phenomenology. Henry outlines briefly three principles, “so much appearance, so much being,” “the principle of principles” of Ideas I, “to the things themselves!” before entering into a lengthy dialogue with Marion’s proposal of a fourth principle: “so much reduction, so much givenness.” Henry (...) submits each principle to critique, highlighting that they contain confusing premises. Henry is appreciative of Marion’s capacity to root the appearing of phenomena in givenness, but he ultimately finds problematic the gap between the call and response that is a fundamental structure of Marion’s fourth principle. Henry, in contrast, develops his own theme of pure givenness, expressed in the form of subjectivity he calls auto-affection, in the final pages of the article. (shrink)

When faced with an urgent and credible threat of grave harm, we should take proportionate precautions. This maxim captures the core commitments of the “precautionary principle”. But what is it for a precaution to be “proportionate”? I construct an account of proportionality (the “ARCANE” account) that consists of five fundamental conditions (absolute rights compatibility, reasonable compensation, consistency, adequacy and non- excessiveness) and a tie-breaker (efficiency). I apply this account to two examples from the COVID-19 pandemic (border closures and (...) school closures), arguing that my account captures the key questions on which it is both feasible and important to integrate expert input with democratic input. I close by considering how we might try to manage the risk of future pandemics in a proportionate way. (shrink)

Tolerance for blood transfusion risks is very low, as evidenced by the implementation of expensive blood tests and the rejection of gay men as blood donors. Is this low risk tolerance supported by the precautionary principle, as defenders of such policies claim? We discuss three constraints on applying the precautionary principle and show that respecting these implies tolerating certain risks. Consistency means that the precautionary principle cannot prescribe precautions that it must simultaneously forbid taking, considering the (...) harms they might cause. Avoiding counterproductivity requires rejecting precautions that cause more harm than they prevent. Proportionality forbids taking precautions that are more harmful than adequate alternatives. When applying these constraints, we argue, attention should not be restricted to harms that are human caused or that affect human health or the environment. Tolerating transfusion risks can be justified if available precautions have serious side effects, such as high social or economic costs. (shrink)

Weak and strong consistency of the Abstract Principal Principle are defined in terms of classical probability measure spaces. It is proved that the Abstract Principal Principle is both weakly and strongly consistent. The Abstract Principal Principle is strengthened by adding a stability requirement to it. Weak and strong consistency of the resulting Stable Abstract Principal Principle are defined. It is shown that the Stable Abstract Principal Principle is weakly consistent. Strong consistency of (...) the Stable Abstract Principal principle remains an open question. (shrink)

The precautionary principle holds that we should not allow scientific uncertainty to prevent us from taking precautionary measures in response to potential threats that are irreversible and potentially disastrous. Critics of the principle claim that it deters progress and development, is excessively risk-aversive and is unscientific. This paper argues that the principle can be scientific provided that (1) the threats addressed by the principle are plausible threats, and (2) the precautionary measures adopted are reasonable. The paper (...) also argues that one may use epistemic criteria, such as consistency, coherence and explanatory power, to determine whether a threat is plausible, and that one may use practical considerations, such as effectiveness, proportionality, cost-effectiveness, realism and consistency, to determine whether a response to a threat is reasonable. (shrink)

Our concept of the universe and the material world is foundational for our thinking and our moral lives. In an earlier contribution to the URAM project I presented what I called 'the ultimate organizational principle' of the universe. In that article (Grandpierre 2000, pp. 12-35) I took as an adversary the wide-spread system of thinking which I called 'materialism'. According to those who espouse this way of thinking, the universe consists of inanimate units or sets of material such as (...) atoms or elementary particles. Against this point of view on reality, I argued that it is 'logic', which exists in our inner world as a function of our mind, that is the universal organizing power of the universe. The present contribution builds upon this insight. Then I focussed on rationality; now I am interested in the responsibility that is the driving force behind our effort to find coherence and ultimate perspectives in our cosmos. It is shown that biology fundamentally differs from physics. Biology has its own fundamental principle, which is formulated for the first time in history in a scientific manner by Ervin Bauer. This fundamental principle is the cosmic life principle. I show that if one considers the physical laws as corresponding to reality, as in scientific realism, than physicalism becomes fundamentally spiritual because the physical laws are not material. I point out that the physical laws originate from the fundamental principle of physics which is the least action principle. I show that the fundamental principle of physics can be considered as the "instinct of atoms". Our research has found deep and meaningful connections between the basic principle of physics and the ultimate principles of the universe: matter, life and reason. Therefore, the principle of least action is not necessarily an expression of sterile inanimateness. On the contrary, the principle of physics is related to the life principle of the universe, to the world of instincts behind the atomic world, in which the principles of physics, biology, and psychology arise from the same ultimate principle. Our research sheds new light to the sciences of physics, biology, and psychology in close relation to the basic principles. These ultimate principles have a primary importance in our understanding of the nature of Man and the Universe, together with the relations between Man and Nature, Man and the Universe. The results offer new foundations for our understanding our own role in the Earth, in the Nature and in the Universe. Even the apparently inanimate world of physics shows itself to be animate on long timescales and having a kind of pre- human consciousness in its basic organisation. This hypothesis offers a way to understand when and how the biological laws may direct physical laws, and, moreover, offers a new perspective to study and understand under which conditions can self-consciousness govern the laws of biology and physics. This point of view offers living beings and humans the possibility of strengthening our natural identity, and recognising the wide perspective arising from having access to the deepest ranges of our own human resources and realising the task for which human and individual life has been created. (shrink)

The Precautionary Principle (PP) is an influential principle of risk management. It has been widely introduced into environmental legislation, and it plays an important role in most international environmental agreements. Yet, there is little consensus on precisely how to understand and formulate the principle. In this paper I prove some impossibility results for two plausible formulations of the PP as a decision-rule. These results illustrate the difficulty in making the PP consistent with the acceptance of any trade-offs (...) between catastrophic risks and more ordinary goods. (shrink)

Mill’s Liberty Principle aims to protect ‘social’ freedom, which is traditionally understood as negative freedom. I argue that Mill’s conception of social freedom does not comfortably fit even a moralized conception of negative freedom, and that individuality, an ideal fundamental to On Liberty, is a robustly positive type of freedom. This raises the question of whether protecting social freedom involves an egalitarian, progressive state that ambitiously strives to create the social conditions of individuality. I consider the case for an (...) affirmative answer to that question, then argue that the ideal of individuality itself blocks interventions that some contemporary egalitarian, progressive liberals consider at least consistent with the Liberty Principle. These include autonomy-enhancing paternalism, and outright prohibition of as opposed to time, place, and manner regulation of the expression of some opinions that adversely affect protected minorities. Though not libertarian, the Liberty Principle is not an expression of this type of egalitarian liberalism, as evidenced inter alia by Mill’s emphatic rejection of state control of education, and his categorical case against prohibiting the expression of even the most extreme and insidious opinions. (shrink)

This chapter contains sections titled: The Miracle “Par Excellence” The Nature of the Noumenon The Principle of Perceptual Verifiability The Platonic Forms Mysticism Asceticism Note References Further Reading.

The core principles of 7th century Korean Buddhist thinker and practitioner Wŏnhyo’s harmonization in non-obstruction thought and Wilberian Integral Theory may help us to understand ourselves and the world better and thus act and live well together accordingly in this contemporary world facing global crises. Whatare particularly noteworthy in Wŏnhyo’s thought and life is that as much as reality is unobstructed (無礙) in its profound calm so can our mode of being and relationships be awakened to its natural harmony free (...) of conflicts (和諍會通). This ideal can be optimally pursued by coming back to the source of One Mind (一心) while extensively benefiting sentient beings. Wŏnhyo consistently pursued and realized this soteriological project through his practice, works, and expediently dedicated life. The most recent version of Wilber’ Integral Theory consists of Integral Approach, Integral Methodological Pluralism, and Integral Post-Metaphysics. Their core principles consist of the AQAL (all quadrants, all levels, all lines, all states, and all types) and holons with their twenty tenets (holonic laws). Extensively utilizing scientific achievements Wilber attempted to map the whole developmental territory of occasions ranging from matter to Spirit or Emptiness and to formulate the Theory of Everything and then apply it to various fields including business, spirituality, and ecology. Within this framework, however, MarkEdwards tried to add an integral epistemology with its interpretive part and to complement Wilber’s more evolutionary ranking ascent with involutionary egalitarian descent. By also critiquing representational—and thus somewhat reifying—tendency of the AQAL framework and proposing to read it as an interpretive lens hesaves Integral Theory from internal conflicts and rendered it more consistent. Being based on experience and vast scholarship both Wŏnhyo’s and Wilberian visions have an integral nature. Whereas Wŏnhyo’s Enlightenment-anchored high vision-logic enabled him to actualize harmonization unobstructedly, backed by scientific achievements as well as his practice Wilber pioneered the AQAL Integral Theory, and then by adding an interpretive dimension Wilber has made it more balanced and consistent system. Now facing the human-caused threats of various global crises as well as the usual complexities of our ordinary life, we need to draw on mankind’s cultural resources including these two spectacular achievements. We may then further develop these soteriological visions in such a way as to satisfy hopefully all justifiable needs of men as well as the world in a futuristic perspective. (shrink)

This article provides a systematic analysis of social choice theory without the Pareto principle, by revisiting the method of Murakami Yasusuke. This article consists of two parts. The first part investigates the relationship between rationality of social preference and the axioms that make a collective choice rule either Paretian or anti-Paretian. In the second part, the results in the first part are applied to obtain impossibility results under various rationality requirements of social preference, such as S-consistency, quasi-transitivity, semi-transitivity, (...) the interval-order property, and acyclicity. (shrink)

According to the standard interpretation of Einstein’s field equations, gravity consists of mass-energy curving spacetime, and an additional physical force or entity—denoted by Λ (the ‘cosmological constant’)—is responsible for the Universe’s metric-expansion. Although General Relativity’s direct predictions have been systematically confirmed, the dominant cosmological model thought to follow from it—the ΛCDM (Lambda cold dark matter) model of the Universe’s history and composition—faces considerable challenges, including various observational anomalies and experimental failures to detect dark matter, dark energy, or inflation-field candidates. This (...) paper shows that Einstein’s Equivalence Principle entails two possible physical interpretations of General Relativity’s field equations. Although the field equations facially appear to support the standard interpretation—that gravity consists of mass-energy curving spacetime—the field equations can be equivalently understood as holding that gravitational effects instead result from mass-energy accelerating the metric-expansion of a second-order spacetime fabric superimposed upon an absolute, first-order Euclidean space, resulting in the observational appearance of spacetime curvature. This alternative interpretation of relativity is shown to be empirically equivalent to the standard interpretation of relativity, albeit with a changing value for Λ (which is similar to how Λ is understood in the conception of Λ as ‘quintessence’, but in this case takes Λ to be gravity). The reconceptualization is then shown to potentially resolve major observational anomalies for the ΛCDM model, including recent observations conflicting with ΛCDM predictions, as well as failures to directly detect dark matter, dark energy, and inflation field/particle candidates. (shrink)

We give an affirmative answer to Brendle's and Hrušák's question of whether the club principle together with h > N₁ is consistent. We work with a class of axiom A forcings with countable conditions such that q ≥ n p is determined by finitely many elements in the conditions p and q and that all strengthenings of a condition are subsets, and replace many names by actual sets. There are two types of technique: one for tree-like forcings and one (...) for forcings with creatures that are translated into trees. Both lead to new models of the club principle. (shrink)

We present a new English translation of L.E.J. Brouwer's paper ‘De onbetrouwbaarheid der logische principes’ of 1908, together with a philosophical and historical introduction. In this paper Brouwer for the first time objected to the idea that the Principle of the Excluded Middle is valid. We discuss the circumstances under which the manuscript was submitted and accepted, Brouwer's ideas on the principle of the excluded middle, its consistency and partial validity, and his argument against the possibility of (...) absolutely undecidable propositions. We note that principled objections to the general excluded middle similar to Brouwer's had been advanced in print by Jules Molk two years before. Finally, we discuss the influence on George Griss' negationless mathematics. (shrink)

Alan Gewirth's _Reason and Morality_, in which he set forth the Principle of Generic Consistency, is a major work of modern ethical theory that, though much debated and highly respected, has yet to gain full acceptance. Deryck Beyleveld contends that this resistance stems from misunderstanding of the method and logical operations of Gewirth's central argument. In this book Beyleveld seeks to remedy this deficiency. His rigorous reconstruction of Gewirth's argument gives its various parts their most compelling formulation and (...) clarifies its essential logical structure. Beyleveld then classifies all the criticisms that Gewirth's argument has received and measures them against his reconstruction of the argument. The overall result is an immensely rich picture of the argument, in which all of its complex issues and key moves are clearly displayed and its validity can finally be discerned. The comprehensiveness of Beyleveld's treatment provides ready access to the entire debate surrounding the foundational argument of _Reason and Morality_. It will be required reading for all who are interested in Gewirth's theory and deontological ethics and will be of central importance to moral and legal theorists. (shrink)

I argue that a version of the so-called KK principle is true for principled epistemic reasons; and that this does not entail access internalism, as is commonly supposed, but is consistent with a broad spectrum of epistemological views. The version of the principle I defend states that, given certain normal conditions, knowing p entails being in a position to know that you know p. My argument for the principle proceeds from reflection on what it would take to (...) know that you know something, rather than from reflection on the conditions for knowledge generally. Knowing that you know p, it emerges, is importantly similar to cases of psychological self-knowledge like knowing that you believe p: it does not require any grounds other than your grounds for believing p itself. In so arguing, I do not rely on any general account of knowledge, but only on certain plausible and widely accepted epistemological assumptions. (shrink)

The principle of maximum entropy is a general method to assign values to probability distributions on the basis of partial information. This principle, introduced by Jaynes in 1957, forms an extension of the classical principle of insufficient reason. It has been further generalized, both in mathematical formulation and in intended scope, into the principle of maximum relative entropy or of minimum information. It has been claimed that these principles are singled out as unique methods of statistical (...) inference that agree with certain compelling consistency requirements. This paper reviews these consistency arguments and the surrounding controversy. It is shown that the uniqueness proofs are flawed, or rest on unreasonably strong assumptions. A more general class of inference rules, maximizing the so-called Re[acute ]nyi entropies, is exhibited which also fulfill the reasonable part of the consistency assumptions. (shrink)

Popper's short essay about the rationality principle has been the target of many criticisms which have raised serious doubts about its consistency. How could the well-known promoter of falsificationism suggest that we not reject a principle that he himself describes as false? Nonetheless, the essay can be read in a way that makes it appear much more consistent. Better sense can be made of Popper's own examples (the flustered driver, the pedestrian, etc.), by taking seriously his view (...) that the rationality principle might be "approximately true" and falsified only in very rare cases, while also giving proper attention to his four rather elliptical arguments. (shrink)

Modern physics, which had its beginnings in the inclined-plane experiments of Galileo, deals with the measurable aspects of the world about us. The laws and definitions of classical physics are, at least superficially, differential equations in which each variable represents the result of a particular kind of measurement. These variables are usually called physical quantites. Starting from a few general laws and definitions we can derive formally further relations between the physical quantities and their rates of change in space and (...) time. If the original definitions are self-consistent and the original laws accurate, the relations we derive from them should enable us to predict what the numerical result of a certain measurement will be whenever certain other measurements have yielded specified numerical results. (shrink)

The background of this paper (section 1) consists in a new account to foundation‐theoretic epistemology characterized by two features: (i) All beliefs are to be justified by deductive, inductive or abductive inferences from a minimalistic class of unproblematic (introspective or analytic) basic beliefs. (ii) Higher‐order justifications for these inferences are given by means of the novel method of optimality justifications. Optimality justifications are a new tool for epistemology (section 2). An optimality justification does not attempt todemonstratethat a cognitive method is (...) reliable (which is impossible), but pursues the more modest goal of demonstrating that the method isoptimalamong all accessible alternative methods for the given epistemic goal. The reasoning from the established optimality of a method to the acceptability of a particular belief generated by the method is accomplished by so‐called optimality principles. In sections 3–5, the method of optimality justifications is carried out in detail for three fundamental problems: justifying induction, logic, and theory‐generating abduction. (shrink)

The purpose of the present report is to draw the philosophical community’s attention to the universal principle of cognition, the principle of extrapolation, capable of integrating the present and possibly, the future methods of man’s cognitive attitude to the world. Extrapolation is interpreted as a key logical-and-gnosiological procedure and, depending on subject/object relationships, is subdivided into “actual” and “real”. According to the actual extrapolation principle in any kind of cognition, it is important to take account of the (...) fact of the ontological presence of the individual in the world. The real extrapolation method is based on the available gnosiological content of a cognizing subject and on the use of a totality of the logical, gnosiological, epistemological, methodological, content-related and even psychological wealth of accumulated knowledge with the aim of its augmentation. The all-important aim of new gnosiology (theory of knowledge) should consist in studying permissible bounds of extrapolation, and in identifying basic laws of extrapolation of knowledge in two forms of its being as a necessary condition of their possible synthesis. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:HUME, THE CAUSAL PRINCIPLE, AN'D KEMP SMITH When we say of a proposition that it is possible, we sometimes mean no more than that it is logically possible, that is, consistent with itself. A proposition can be possible in stronger senses than this, but not in any weaker one. For a sense of "p is possible" that did not entail "p is self-consistent, "would have to be a (...) sense of "p is possible" which was consistent with "p is self-inconsistent" And it is obvious that there can be no such sense as that. One of the stronger senses in which a proposition can be possible is this: consistent (with itself and in addition) with every observation-statement. (I mean by an observationstatement, a proposition which, if it were true, could in principle be discovered by experience to be true.) If a proposition? is contingent, (that is, neither necessarily true??t necessarily false), then its negation (its contradictory) not-p is contingent too; and since contingent, not necessarily false; and since not necessarily false, consistent with itself. So, given any contingent propositions, its falsity is among those propositions which are possible in the first and weak sense mentioned above. If a proposition? is not only contingent but unverifiable,(that is, not deducible from any observation- statement), then not-p is consistent both with itself and with every observation -statement. So, given any unverifiable contingent proposition, its falsity is among those propositions which are possible in the second and stronger sense mentioned above. Some stock examples. "Whatever is a raven is black" is contingent, and its falsity therefore possible in the first sense; so too is its contradictory "There are such things as non-black ravens" contingent, and its falsity possible in the first sense. But the latter proposition is not unverifiable, since there are observation-statements from which it is deducible. ("There are such things as green ravens", for example; or "A green raven was in captivity at Taronga Park Zoo in January 31st 1975".) The former proposition, on the other hand, is not only contingent but unverifiable; since there are no observation -statements from which it is deducible. Hence, "whatever is a raven is black" is a proposition the falsity of which is possible both in the first and in the second sense noticed above. A third and still stronger sense in which a proposition can be possible is the following:? is possible if and only if (p is consistent with itself,every observation-statement is consistent with p, and in addition)? is neither more nor less probable in relation to the conjunction of e and n, where e is any observation-statement and? any necessary truth, than it is in relation to? alone. The last condition may be expressed, symbolically, as "P(p/n.e) » P(p/n) for all necessarily true? and all observation-statements e"; or in Carnap' s phrase as, "every observation- statement is initially irrelevant to p." Some examples will quickly make the idea of initial irrelevance, and its opposite, more familiar; and hence will make the third sense of "p is possible" more familiar. Let? be any necessary truth and e any observation-statement. Now let? be, for- example,some necessarily false proposition; then, since P(p/n) « o = P(p/n.e), e is initially irrelevant to p. Or let? be necessarily true; then, since P(p/n) ¦ 1 = P(p/n.e), e is again initially irrelevant to p. Again, let? be "Whatever is a raven is black": then some observation- statements e are initially relevant to p. For if e is "This raven is black," for example, P(p/n.e)>P(p/n) ; or at any rate, that is what we think if we are not inductive sceptic?. Again, if? is "The Holy Ghost proceeds from the Father and the Son", it is at least very plausible to say that every observational e is initially irrelevant to p; since there appears to be no observational e such that P(p/n.e)>P(p/n), or P(p/n.e). (shrink)

We analyse the implications of classical liberal and libertarian approaches for distributive justice in the context of social welfare orderings. We study an axiom capturing a liberal non-interfering view of society, the Weak Harm Principle, whose roots can be traced back to John Stuart Mill. We show that liberal views of individual autonomy and freedom can provide consistent foundations for welfare judgements. In particular, a liberal non-interfering approach can help to adjudicate some fundamental distributive issues relative to intergenerational justice. (...) However, a strong relation is established between liberal views of individual autonomy and non-interference, and egalitarian principles in the Rawlsian tradition. (shrink)

As Professor Burns has shown, even though Hume did not offer an explicit, exhaustive treatment of “The Women Question”, there are many passages in which he explains principles or facts related to the status of women. Generally speaking, and on this I fully agree with Professor Burns, the “Humean Female” qualifies as an expression of what we call today a male chauvinist position.

Bermúdez's “rational framing effects” are consequences of a counterintuitive phenomenon that I call “normative polyphony”: the reality that a single action may, with logical consistency, sustain diverse positive and negative judgments. I show that normative polyphony emerges from “ontological polyphony” – that is, diverse possible framings of relevant details – and illustrate this “polyphony principle” through a reading of Dostoevsky's (1993) Crime and Punishment.

The thin red line theory is a form of branching indeterminism. It entails that, among the many possible developments that reality might take, one is privileged: the actual history. The thin red line theory is naturally paired off with a semantic thesis that may be called ‘the actuality principle’: a statement is true as used at a moment if and only if it is true at that moment on the actual history. The actuality principle has been challenged, for (...) it would be wrong about several counterfactual reasonings. On the one hand, the actuality principle should entail that any statement uttered at a merely possible moment is untrue. On the other hand, the actuality principle should be at odds with the way we use subjunctive conditionals. This paper argues that both objections rely on an inadequate understanding of the notion of the history of use. As for the first objection, the paper argues that to assume the actuality principle amounts to taking the actual history as the history of use. As a consequence, one cannot consistently take the actual history as the history of use and, at the same time, a merely possible moment as the moment of use. As for the second objection, the paper shows that the actuality principle is consistent with any reasonable treatment of subjunctive conditionals. (shrink)

Alan Gewirth's Reason and Morality , in which he set forth the Principle of Generic Consistency, is a major work of modern ethical theory that, though much debated and highly respected, has yet to gain full acceptance. Deryck Beyleveld contends that this resistance stems from misunderstanding of the method and logical operations of Gewirth's central argument. In this book Beyleveld seeks to remedy this deficiency. His rigorous reconstruction of Gewirth's argument gives its various parts their most compelling formulation (...) and clarifies its essential logical structure. Beyleveld then classifies all the criticisms that Gewirth's argument has received and measures them against his reconstruction of the argument. The overall result is an immensely rich picture of the argument, in which all of its complex issues and key moves are clearly displayed and its validity can finally be discerned. The comprehensiveness of Beyleveld's treatment provides ready access to the entire debate surrounding the foundational argument of Reason and Morality . It will be required reading for all who are interested in Gewirth's theory and deontological ethics and will be of central importance to moral and legal theorists. (shrink)