This paper accomplishes three goals. First, the essay demonstrates that Edmund Husserl’s theory of meaning consciousness from his 1901 Logical Investigations is internally inconsistent and falls apart upon closer inspection. I show that Husserl, in 1901, describes non-intuitive meaning consciousness as a direct parallel or as a ‘mirror’ of intuitive consciousness. He claims that non-intuitive meaning acts, like intuitions, have substance and represent their objects. I reveal that, by defining meaning acts in this way, Husserl cannot account for (...) our experiences of countersensical, absurd, or impossible meanings. Second, I examine how Husserl came to recognize this 1901 mistake in his 1913/14 Revisions to the Sixth Logical Investigation. I discuss how he accordingly reformulates his understanding of non-intuitive meaning acts from the ground up in those Revisions, where this also allows for him to properly account for the experience of impossible meanings. Instead of describing them as mirrors of intuitions, Husserl takes non-intuitive meaning acts to be modifications of intuitions, where they have no substance and do not represent their objects. Finally, in the conclusion to this essay, I demonstrate how this fundamental change to his understanding of meaning consciousness forced Husserl to revise other central tenets of his philosophy, such that the trajectory of his thought can only be properly understood in light of these revisions to his theory of non-intuitive meaning consciousness. (shrink)

Direct reference theory faces serious prima facie counterexamples which must be explained away (e.g., that it is possible to know a priori that Hesperus = Phosphorus). This is done by means of various forms of pragmatic explanation. But when those explanations that provisionally succeed are generalized to deal with analogous prima facie counterexamples concerning the identity of propositions, a fatal dilemma results. Either identity must be treated as a four-place relation (contradicting what just about everyone, including direct reference theorists, (...) takes to be essential to identity). Or direct reference theorists must incorporate a view that was rejected in pretty much our first lesson about identity—namely, that Hesperus at twilight is not identical to Hesperus at dawn. One way of the other, the direct reference theory is thus inconsistent with basic principles concerning the logic of identity, which nearly everyone, including direct reference theorists, take as starting points. (shrink)

The problem of how to accommodate inconsistencies has attracted quite a number of researchers, in particular, in the area of database theory. The problem is also of concern in the study of belief change. For inconsistent beliefs are ubiquitous. However, comparatively little work has been devoted to discussing the problem in the literature of belief change. In this paper, I examine how adequate the AGM theory is as a logical framework for belief change involving inconsistencies. The technique (...) is to apply to Grove’s sphere system, a semantical representation of the AGM theory, logics that do not infer everything from contradictory premises, viz., paraconsistent logics. I use three paraconsistent logics and discuss three sphere systems that are based on them. I then examine the completeness of the postulates of the AGM theory with respect to the systems. At the end, I discuss some philosophical implications of the examination. (shrink)

This paper discusses the logical possibility of testing inconsistent empirical theories. The main challenge for answering this affirmatively is to avoid that the inconsistent consequences of a theory both corroborate it and falsify it. I answer affirmatively by showing that we can define a class of empirical sentences whose truth would force us to abandon such inconsistent theory: the class of its potential rejecters. Despite this, I show that the observational contradictions implied by a (...) class='Hi'>theory could only be verified (provided we make some assumptions), but not rejected. From this, it follows that, although inconsistent theories are rejectable, they cannot be rejected qua inconsistent. (shrink)

The badness of having conflicting emotions is a familiar theme in academic ethics, clinical psychology, and commercial self-help, where emotional harmony is often put forward as an ideal. Many philosophers give emotional harmony pride of place in their theories of practical reason.1 Here we offer a defense of a particular species of emotional conflict, namely, ambivalence. We articulate an conception of ambivalence, on which ambivalence is unresolved inconsistent desire (§1) and present a case of appropriate ambivalence (§2), before considering (...) two alternative defenses of emotional conflict (§3). We then argue that inconsistent desires can be fitting (§4) and that it can be reasonable not to resolve inconsistent desires (§5), before considering an objection (§6) and concluding the discussion (§7). (shrink)

This paper challenges Francis Hutcheson's and John Clarke of Hull's alleged demonstrations that William Wollaston's moral theory is inconsistent. It also present a form of the inconsistency objection that fares better than theirs, namely, that of Thomas Bott (1688-1754). Ultimately, the paper shows that Wollaston's moral standard is not what some have thought it to be; that consequently, his philosophy withstands the best-known efforts to expose it as inconsistent; and further, that one of the least-known British moralists (...) is more important than hitherto thought, in that he uncovers the inconsistency Clarke and Hutcheson try in vain to elicit. (shrink)

The article is an extended critical discussion of Kevin Scharp’s Replacing Truth. Scharp’s case for the claim that the concept of truth is inconsistent is criticized, and so is his case for the claim that the concept of truth must be replaced because of its inconsistency.

The paper discusses the Inconsistency Theory of Truth (IT), the view that “true” is inconsistent in the sense that its meaning-constitutive principles include all instances of the truth-schema (T). It argues that (IT) entails that anyone using “true” in its ordinary sense is committed to all the (T)-instances and that any theory in which “true” is used in that sense entails the (T)-instances (which, given classical logic, entail contradictions). More specifically, I argue that theorists are committed to (...) the meaning-constitutive principles of logical constants, relative to the interpretation they intend thereof (e.g., classical), and that theories containing logical constants entail those principles. Further, I argue, since there is no relevant difference from the case of “true”, inconsistency theorists’ uses of “true” commit them to the (T)-instances. Adherents of (IT) are recommended, as a consequence, to eschew the truth-predicate. I also criticise Matti Eklund’s account of how the semantic value of “true” is determined, which can be taken as an attempt to show how “true” can be consistently used, despite being inconsistent. (shrink)

In this paper I apply the concept of _inter-Model Inconsistency in Set Theory_ (MIST), introduced by Carolin Antos (this volume), to select positions in the current universe-multiverse debate in philosophy of set theory: I reinterpret H. Woodin’s _Ultimate L_, J. D. Hamkins’ multiverse, S.-D. Friedman’s hyperuniverse and the algebraic multiverse as normative strategies to deal with the situation of de facto inconsistency toleration in set theory as described by MIST. In particular, my aim is to situate these positions (...) on the spectrum from inconsistency avoidance to inconsistency toleration. By doing so, I connect a debate in philosophy of set theory with a debate in philosophy of science about the role of inconsistencies in the natural sciences. While there are important differences, like the lack of threatening explosive inferences, I show how specific philosophical positions in the philosophy of set theory can be interpreted as reactions to a state of inconsistency similar to analogous reactions studied in the philosophy of science literature. My hope is that this transfer operation from philosophy of science to mathematics sheds a new light on the current discussion in philosophy of set theory; and that it can help to bring philosophy of mathematics and philosophy of science closer together. (shrink)

This paper demonstrates that there is an inconsistency in functionalism in psychology and philosophy of mind. Analogous inconsistencies can be expected in functionalisms in biology and social theory. (edited).

Inferentialists about scientific representation hold that an apparatus’s representing a target system consists in the apparatus allowing “surrogative inferences” about the target. I argue that a serious problem for inferentialism arises from the fact that many scientific theories and models contain internal inconsistencies. Inferentialism, left unamended, implies that inconsistent scientific models have unlimited representational power, since an inconsistency permits any conclusion to be inferred. I consider a number of ways that inferentialists can respond to this challenge before suggesting my (...) own solution. I develop an analogy to exploitable glitches in a game. Even though inconsistent representational apparatuses may in some sense allow for contradictions to be generated within them, doing so violates the intended function of the apparatus’s parts and hence violates representational “gameplay.”. (shrink)

I argue that William Craig’s defence of the moral argument is internally inconsistent. In the course of defending the moral argument, Craig criticizes non-theistic moral realism on the grounds that it posits the existence of certain logically necessary connections but fails to provide an adequate account of why such connections hold. Another component of Craig’s defence of the moral argument is an endorsement of a particular version of the divine command theory. Craig’s version of DCT posits certain logically (...) necessary connections but Craig fails to provide an adequate account of why these connections hold. Thus, Craig’s critique of non-theistic moral realism is at odds with his DCT. Since the critique and DCT are both essential elements of his defence of the moral argument, that defence is internally inconsistent. (shrink)

The existential insecurity of human beings has induced them to create protective spheres of symbols: myths, religions, values, belief systems, theories, etc. Rationality is one of the key factors contributing to the construction of civilisation in technical and symbolic terms. As Hankiss (2001) has emphasised, protective spheres of symbols may collapse – thus causing a profound social crisis. Social and political transformations had a tremendous impact at the end of the 20th century. As a result, management theories have been revised (...) in order to deal with transition and uncertainty. Francis Fukuyama's (2000) approach is supportive of hierarchical organisation as the best solution when facing a 'disruption'. The notion of Homo Hierarchicus has been based on, allegedly, rational presumptions. This paper contributes to the discussion on hierarchy within contemporary organisations. It criticises so-called 'natural' and 'rational' necessities justifying hierarchy. A key issue identified by the paper is the formalisation of language in claiming value-free knowledge and 'detached' observation as the basis for neutral rationality and aspired efficiency. This should be seriously reconsidered as hindering rather than aiding understanding of social complexity. All in all, Homo Hierarchicus appears to be misleading rather than helping symbolic sphere or construct. (shrink)

In different papers, David Liggins and Chris Daly tell philosophers what they should not do. There is no sign of them withdrawing any of these prohibitions, but I show that they fail to be consistent when asserting them. The inconsistency concerns when a philosopher should defer to the empirical findings of science.

This paper deals with a relatively recent trend in the history of analytic philosophy, philosophical logic, and theory of science: the philosophical study of the role of inconsistency in empirical science. This paper is divided in three sections that correspond to the three types of inconsistencies identified: (i) factual, occurring between theory and observations, (ii) external, occurring between two mutually contradictory theories, and (iii) internal, characterising theories that entail mutually contradictory statements.

This paper deals with a relatively recent trend in the history of analytic philosophy, philosophical logic, and theory of science: the philosophical study of the role of inconsistency in empirical science. This paper is divided in three sections that correspond to the three types of inconsistencies identified: (i) factual, occurring between theory and observations, (ii) external, occurring between two mutually contradictory theories, and (iii) internal, characterising theories that entail mutually contradictory statements.

In recent years there has been a revitalised interest in non-classical solutions to the semantic paradoxes. In this paper I show that a number of logics are susceptible to a strengthened version of Curry's paradox. This can be adapted to provide a proof theoretic analysis of the omega-inconsistency in Lukasiewicz's continuum valued logic, allowing us to better evaluate which logics are suitable for a naïve truth theory. On this basis I identify two natural subsystems of Lukasiewicz logic which individually, (...) but not jointly, lack the problematic feature. (shrink)

We propose a theoretical model to explain the usage of time-inconsistent behavior as a strategy to exploit others when reputation and trust have secondary effects on the economic outcome. We consider two agents with time-consistent preferences exploiting common resources. Supposing that an agent is believed to have time-inconsistent preferences with probability p, we analyze whether she uses this misinformation when she has the opportunity to use it. Using the model originally provided by Levhari and Mirman (Bell J Econ (...) 11(1):322–334, 1980), we determine the optimal degree of present bias that the agent would like to have while pretending to have time-inconsistent preferences and we provide the range of present-bias parameter under which deceiving is optimal. Moreover, by allowing the constant relative risk aversion class of utility form, we characterize the distinction between pretending to be naive and sophisticated. (shrink)

This chapter argues that the distinction between ambitious and modest transcendental arguments, developed and deployed by various authors in the wake of Stroud’s influential critique of transcendental reasoning, may be pointless when applied to transcendental arguments from performative inconsistency that have moral statements as their conclusions. If moral truth is assertorically constrained, then any modest moral transcendental argument from performative inconsistency can be converted into an ambitious moral transcendental argument. The chapter provides an account of performative inconsistency and suggests an (...) alternative to the widespread reading of transcendental conditionals in terms of an ‘if-then’-sentences whose antecedents express a proposition to the effect that some x is possible and whose consequents express a statement to the effect that some y is actual. (shrink)

If a subject’s belief system is inconsistent, does it follow that the subject’s beliefs (all of them) are unjustified? It seems not. But, coherentist theories of justification (at least some of them) imply otherwise, and so, it seems, are open to counterexample. This is the “Problem of Justified Inconsistent Beliefs”. I examine two main versions of the Problem of Justified Inconsistent Beliefs, and argue that coherentists can give at least a promising line of response to each of (...) them. (shrink)

Presentists argue that only present entities exist absolutely and unrestrictedly. Presentism, which itself is a temporal analog of the modal doctrine of actualism, is an ontological idea about time and existence against theories such as eternalism, possibilism, and growing block theory. Thus, presentists deny the existence of atemporal or timeless entities and describe presentism as a version of the (A-theory), which makes a difference between present, past, and future. Also, presentists are not able to ontologically, justify the existence (...) of some entities such as Socrates and the year 3000 in the past and the future and the relations involving non-present objects like ‘Abraham Lincoln was taller than Napoleon Bonaparte’. However, presentism is altered via the addition of an abstract four-dimensional manifold of ersatz time, which is a type of (B-theory) series, to identify all ontological entities and justify the dynamic world. This inquiry is an attempt to put a completely different perspective on presentism and, the result obtained that despite the new conceptualization of time, there is an inconsistency between time and being in presentism. Therefore, presentists have failed to determine the ontological identification of cross-temporal relations, reference and propositions, and truth-makers. Also, whatever the final outcome of the debate between presentism and other views is significantly eternalism, according to ersatz presentism, it is hard to make sense of the idea that things change from one moment to the next. (shrink)

In this paper, two axiomatic theories T− and T′ are constructed, which are dual to Tarski’s theory T+ (1930) of deductive systems based on classical propositional calculus. While in Tarski’s theory T+ the primitive notion is the classical consequence function (entailment) Cn+, in the dual theory T− it is replaced by the notion of Słupecki’s rejection consequence Cn− and in the dual theory T′ it is replaced by the notion of the family Incons of inconsistent (...) sets. The author has proved that the theories T+, T−, and T′ are equivalent. (shrink)

An important strand in philosophy of science takes scientific explanation to consist in the conveyance of some kind of information. Here I argue that this idea is also implicit in some core arguments of mechanists, some of whom are proponents of an ontic conception of explanation that might be thought inconsistent with it. However, informational accounts seem to conflict with some lay and scientific commonsense judgments and a central goal of the theory of explanation, because information is relative (...) to the background knowledge of agents. Sometimes we make lay judgments about whether a model is an explanation simpliciter, not just an explanation relative to some particular agent. And as philosophers of explanation, we would like a philosophical account to tell us when a model is an explanation simpliciter, not just when a model is an explanation relative to some particular agent. Thus, even if one’s account of explanation is not concerned with explanation qua communicative or speech act, the account’s reliance on the concept of information generates a prima facie conflict between the claims that 1) explanation is the conveyance of information, 2) information is relative to the background knowledge of an agent, and 3) some models are explanations not relative to the background knowledge of any particular agent. I sketch a solution to this puzzle by distinguishing informationally what I call “explanation simpliciter” from what I call “explanation-to,” relativizing the latter to an individual’s background knowledge and the former to what I call “total scientific background knowledge”. (shrink)

In this paper we present a philosophical motivation for the logics of formal inconsistency, a family of paraconsistent logics whose distinctive feature is that of having resources for expressing the notion of consistency within the object language in such a way that consistency may be logically independent of non-contradiction. We defend the view according to which logics of formal inconsistency may be interpreted as theories of logical consequence of an epistemological character. We also argue that in order to philosophically justify (...) paraconsistency there is no need to endorse dialetheism, the thesis that there are true contradictions. Furthermore, we show that mbC, a logic of formal inconsistency based on classical logic, may be enhanced in order to express the basic ideas of an intuitive interpretation of contradictions as conflicting evidence. (shrink)

Recently, there has been some discussion of how Dutch Book arguments might be used to demonstrate the rational incoherence of certain hidden variable models of quantum theory. In this paper, we argue that the 'form of inconsistency' underlying this alleged irrationality is deeply and comprehensively related to the more familiar 'inconsistency' phenomenon of contextuality. Our main result is that the hierarchy of contextuality due to Abramsky and Brandenburger corresponds to a hierarchy of additivity/convexity-violations which yields formal Dutch Books of (...) different strengths. We then use this result to provide a partial assessment of whether these formal Dutch Books can be interpreted normatively. (shrink)

The logics of formal inconsistency (LFIs, for short) are paraconsistent logics (that is, logics containing contradictory but non-trivial theories) having a consistency connective which allows to recover the ex falso quodlibet principle in a controlled way. The aim of this paper is considering a novel semantical approach to first-order LFIs based on Tarskian structures defined over swap structures, a special class of multialgebras. The proposed semantical framework generalizes previous aproaches to quantified LFIs presented in the literature. The case of QmbC, (...) the simpler quantified LFI expanding classical logic, will be analyzed in detail. An axiomatic extension of QmbC called QLFI1o is also studied, which is equivalent to the quantified version of da Costa and D'Ottaviano 3-valued logic J3. The semantical structures for this logic turn out to be Tarkian structures based on twist structures. The expansion of QmbC and QLFI1o with a standard equality predicate is also considered. (shrink)

Existing social disparities in the United States are inconsistent with Lincoln’s promise of democracy; therefore, there is a need for a critical conceptualization of the first principles that undergird American democracy and the genesis of democratic social change in America. This study aimed to construct a grounded theory that provides an understanding of the process of American democratic social change. The result was the construction of two frameworks: the demoralization process that triggers social change, and a formal grounded (...) theory that could explain democratic social change endeavors across different domains and levels of analysis. This democratic social change grounded theory answers the research question: How do the principles of the American founding documents provide an understanding of the process of American democratic social change? (shrink)

In this paper I argue that the idiosyncrasy of linguistic competence fosters semantic conceptions in which meanings are taken for granted, such as the one that Quine calls ‘uncritical semantics’ or ‘the myth of the museum’. This is due to the degree of automaticity in the use of language which is needed for fluent conversation. Indeed, fluent conversation requires that we speakers instinctively associate each word or sentence with its meaning (or linguistic use), and instinctively resort to the conceptual repertoire (...) of our language, without calling into question that the meaning of a particular word, or the conceptual repertoire of our language, could have been different than they are. This habit of taking meanings for granted, inherent to our linguistic ability, sometimes interferes with our semantic research, hampering it. In order to illustrate this problem, I pinpoint four places in Quine’s work where, despite his acknowledged analytical rigour, and despite his congenital aversion to the habit of taking meanings for granted, he himself appears to slip into this habit, inadvertently. (shrink)

We present a philosophical motivation for the logics of formal inconsistency, a family of paraconsistent logics whose distinctive feature is that of having resources for expressing the notion of consistency within the object language. We shall defend the view according to which logics of formal inconsistency are theories of logical consequence of normative and epistemic character. This approach not only allows us to make inferences in the presence of contradictions, but offers a philosophically acceptable account of paraconsistency.

In this paper we present a philosophical motivation for the logics of formal inconsistency, a family of paraconsistent logics whose distinctive feature is that of having resources for expressing the notion of consistency within the object language in such a way that consistency may be logically independent of non- contradiction. We defend the view according to which logics of formal inconsistency may be interpreted as theories of logical consequence of an epistemological character. We also argue that in order to philosophically (...) justify paraconsistency there is no need to endorse dialetheism, the thesis that there are true contradictions. Furthermore, we argue that an intuitive reading of the bivalued semantics for the logic mbC, a logic of formal inconsistency based on classical logic, fits in well with the basic ideas of an intuitive interpretation of contradictions. On this interpretation, the acceptance of a pair of propositions A and ¬A does not mean that A is simultaneously true and false, but rather that there is conflicting evidence about the truth value of A. (shrink)

Existing social disparities in the United States are inconsistent with the promise of democracy; therefore, there was a need for critical conceptualization of the first principles that undergird American democracy and the genesis of democratic social change in America. This constructivist grounded theory study aimed to construct a grounded theory that provides an understanding of the process of American democratic social change as it emerged from the nation’s founding documents. A post hoc polytheoretical framework including Foucault’s, Bourdieu’s, (...) and Marx and Engels’s theories of power was used to understand power dynamics. The research question focused on understanding the process of democratic social change in America. The sample comprised the Articles of Confederation, the U.S. Declaration of Independence, The Federalist Papers, and the U.S. Constitution. The documents were retrieved from the National Archives and Library of Congress. The data analysis plan incorporated successive comparison, situational and dramaturgical analysis, deconstruction, and perspective taking as strategies. The result was the construction of a democratic social change process theory preceded by five grounded theories: (a) first principles of democracy, (b) first principles of democracy conceptual framework, (c) socio-ethical principles of democracy, (d) demoralizing process, and (e) either-or approach to democracy. Positive social change implications include applying a democratic social change process to future social change endeavors across domains and levels of analysis, a normative framework for a republican form of government, and a tool to analyze and minimize the latent consequences of social justice policies. (shrink)

A number of cognitive and behavioral variables influence the performance in tasks of theory of mind (ToM). Since two of the most important variables, memory and explicit expression, are impaired in schizophrenic patients, the ToM appears inconsistent in these patients. An ideal instrument of ToM should therefore account for deficient memory and impaired ability of these patients to explicitly express intentions. If such an instrument is developed, it should provide information that can be used not only to understand (...) the pathophysiology but also to monitor patients. (shrink)

In Book 1 of Plato’s Republic, Thrasymachus contends two major claims: (1) justice is the advantage of the stronger, and (2) justice is the good of the other, while injustice is to one’s own profit and advantage. In the beginning of Book II, Glaucon self-proclaims that he will be representing Thrasymachus’ claims in a better way, and provides a story of how justice has originated from a state of nature situation. However, Glaucon’s story of the origin of justice has an (...) implication that justice is the advantage of the weak rather than the stronger. This is inconsistent with Thrasymachus’ first claim which states that justice is the advantage of the stronger. This is a problem for Glaucon since Glaucon is supposed to be representing Thrasymachus’ original claims in a better way. In this paper, I provide two solutions to this puzzle with the help of elementary game theory. (shrink)

The naive theory of properties states that for every condition there is a property instantiated by exactly the things which satisfy that condition. The naive theory of properties is inconsistent in classical logic, but there are many ways to obtain consistent naive theories of properties in nonclassical logics. The naive theory of classes adds to the naive theory of properties an extensionality rule or axiom, which states roughly that if two classes have exactly the same (...) members, they are identical. In this paper we examine the prospects for obtaining a satisfactory naive theory of classes. We start from a result by Ross Brady, which demonstrates the consistency of something resembling a naive theory of classes. We generalize Brady’s result somewhat and extend it to a recent system developed by Andrew Bacon. All of the theories we prove consistent contain an extensionality rule or axiom. But we argue that given the background logics, the relevant extensionality principles are too weak. For example, in some of these theories, there are universal classes which are not declared coextensive. We elucidate some very modest demands on extensionality, designed to rule out this kind of pathology. But we close by proving that even these modest demands cannot be jointly satisfied. In light of this new impossibility result, the prospects for a naive theory of classes are bleak. (shrink)

There is a widespread view that well-learned skills are automated, and that attention to the performance of these skills is damaging because it disrupts the automatic processes involved in their execution. This idea serves as the basis for an account of choking in high pressure situations. On this view, choking is the result of self-focused attention induced by anxiety. Recent research in sports psychology has produced a significant body of experimental evidence widely interpreted as supporting this account of choking in (...) certain kinds of complex sensorimotor skills. We argue against this interpretation, pointing to problems with both the empirical evidence and the underlying theory. The experimental research fails to provide direct support for the central claims of the self-focus approach, contains inconsistencies, and suffers from problems of ecological validity. In addition, qualitative studies of choking have yielded contrary results. We further argue that in their current forms the self-focus and rival distraction approaches both lack the theoretical resources to provide a good theory of choking, and we argue for an expanded approach. Some of the elements that should be in an expanded approach include accounts of the features of pressure situations that influence the psychological response, the processes of situation appraisal, and the ways that attentional control can be overwhelmed, leading to distraction in some cases, and in others, perhaps, to damaging attention to skill execution. We also suggest that choking may sometimes involve performance-impairing mechanisms other than distraction or self-focus. (shrink)

Dirac’s relativistic theory of electron generally results in two possible solutions, one with positive energy and other with negative energy. Although positive energy solutions accurately represented particles such as electrons, interpretation of negative energy solution became very much controversial in the last century. By assuming the vacuum to be completely filled with a sea of negative energy electrons, Dirac tried to avoid natural transition of electron from positive to negative energy state using Pauli’s exclusion principle. However, many scientists like (...) Bohr objected to the idea of sea of electrons as it indicates infinite density of charge and electric field and consequently infinite energy. In addition, till date, there is no experimental evidence of a particle whose total energy (kinetic plus rest) is negative. In an alternative approach, Feynman, in quantum field theory, proposed that particles with negative energy are actually positive energy particles running backwards in time. This was mathematically consistent since quantum mechanical energy operator contains time in denominator and the negative sign of energy can be absorbed in it. However, concept of negative time is logically inconsistent since in this case, effect happens before the cause. To avoid above contradictions, in this paper, we try to reformulate the Dirac’s theory of electron so that neither energy needs to be negative nor the time is required to be negative. Still, in this new formulation, two different possible solutions exist for particles and antiparticles (electrons and positrons). (shrink)

The broad scope and coherence of Natural Beauty are among its major strengths. Moore's syncretic theory tries to integrate diverse and sometimes conflicting theoretical strands. Of special importance is his recognition that the natural world is a social institution embodying perceptions that are conditioned, experiences communicated through language, and social beliefs and conventions. These lead him to consider the natural world as actually artifactual, and he terms it the 'natureworld'. Among the consequences of this is the reciprocity of natural (...) and artistic beauty, one indication of the inclusiveness that runs through his theory. My central concern is whether Moore's syncretic theory can successfully combine disparate features of conflicting theories, such as cognitivism and non-cognitivism, and subjectivism and objectivism. Another concern is whether his syncretism can resolve problems such as the apparent inconsistencies raised by his discussion of framing. Here, alternatives that Moore had presumably settled reappear, as when objects, which had presumably been replaced by experiences, re-emerge in his discussion of framing. These comments identify such difficulties and ask whether the way out may be to reframe not natural beauty but the terms of the question. (shrink)

This is Vol. I in French. Vol. II in English is available separately from this website. -/- The principal objective of the work is to construct an analytically precise methodology which can serve to identify, eliminate, and avoid a certain widespread conceptual fault or misconstruction, called a "projective misconstruction" or "projection" by the author. -/- It is argued that this variety of error in our thinking (i) infects a great number of our everyday, scientific, and philosophical concepts, claims, and theories, (...) (ii) has largely been undetected, and (iii), when remedied, leads to a less controversial and more rigorous elucidation of the transcendental preconditions of human knowledge than has traditionally been possible. -/- The dissertation identifies, perhaps for the first time, a projective variety of self-referential inconsistency, and proposes an innovative, self-reflexive approach to transcendental argument in a logical and phenomenological context. The strength of the approach lies, it is claimed, in the fact that a rejection of the approach is possible only on pain of self-referential inconsistency. The argument is developed in the following stages: -/- A general introduction identifies the central theme of the work, defines the scope of applicability of the results reached, and sketches the direction of the studies that follow. The preliminary discussion culminates in a recognition of the need for a critique of impure reason. -/- The body of the work is divided into two parts: Section I seeks to develop a methodology, on a purely formal basis, which is, on the one hand, capable of being used to study the transcendental foundations of the special sciences, including its own proper transcendental foundation. On the other hand, the methodology proposed is intended as a diagnostic and therapeutic tool for dealing with projective uses of concepts. -/- The approach initiates an analysis of concepts from a perspective which views knowledge as coordination. Section I describes formal structures that possess the status of preconditions in such a coordinative account of knowledge. Special attention is given to the preconditions of identifying reference to logical particulars. The first section attempts, then, to provide a self-referential, transcendental methodology which is essentially revisionary in that it is motivated by a concern for conceptual error-elimination. -/- Phenomenology, considered in its unique capacity as a self-referential, transcendental discipline, is of special relevance to the study. Section II accordingly examines a group of concepts which come into question in connection with the central theme of phenomenological constitution. The "de-projective methodology" developed in Section I is applied to these concepts that have a foundational importance in transcendental phenomenology. A translation is, in effect, proposed from the language of consciousness to a language in which preconditions of referring are investigated. The result achieved is the elimination of self-defeating, projective concepts from a rigorous, phenomenological study of the constitutive foundations of science. -/- The dissertation was presented in a two volume, double-language format for the convenience of French and English researchers. Each volume contains an analytical index. (shrink)

In this book, we approach different topics related to neutrosophics, such as: Neutrosophic Set, Intuitionistic Fuzzy Set, Inconsistent Intuitionistic Fuzzy Set, Picture Fuzzy Set, Ternary Fuzzy Set, Pythagorean Fuzzy Set, Atanassov’s Intuitionistic Fuzzy Set of second type, Spherical Fuzzy Set, n-HyperSpherical Neutrosophic Set, q-Rung Orthopair Fuzzy Set, truth-membership, indeterminacy-membership, falsehood-nonmembership, Regret Theory, Grey System Theory, Three-Ways Decision, n-Ways Decision, Neutrosophy, Neutrosophication, Neutrosophic Probability, Refined Neutrosophy, Refined Neutrosophication, Nonstandard Analysis; (Theory, NeutroTheory, AntiTheory), S-denying an Axiom, Multispace with (...) Multistructure, and so on. (shrink)

The ambiguity theory of “knows” is the view that knows and its cognates have more than one propositional sense—i.e., more than one sense that can properly be used in “knows that” etc. constructions. The ambiguity theory of “know” has received relatively little attention as an account of the truth-conditions for knowledge ascriptions and denials—especially compared to views like classical, moderate invariantism and epistemic contextualism. In this paper, it is argued that the ambiguity theory of knows has an (...) advantage over both classical, moderate invariantism and epistemic contextualism. This advantage is that it is the only one of these views that can account for “diverging knowledge responses without inconsistency” —i.e., cases in which, for the same subject S and proposition p, one and the same speaker says truly “S knows p” but instead could have truly said “S does not know p” and vice versa. This paper argues both for the existence of DRWI scenarios and the ability of the ambiguity theory of knows to best explain their existence. (shrink)

Boolean-valued models of set theory were independently introduced by Scott, Solovay and Vopěnka in 1965, offering a natural and rich alternative for describing forcing. The original method was adapted by Takeuti, Titani, Kozawa and Ozawa to lattice-valued models of set theory. After this, Löwe and Tarafder proposed a class of algebras based on a certain kind of implication which satisfy several axioms of ZF. From this class, they found a specific 3-valued model called PS3 which satisfies all the (...) axioms of ZF, and can be expanded with a paraconsistent negation *, thus obtaining a paraconsistent model of ZF. The logic (PS3 ,*) coincides (up to language) with da Costa and D'Ottaviano logic J3, a 3-valued paraconsistent logic that have been proposed independently in the literature by several authors and with different motivations such as CluNs, LFI1 and MPT. We propose in this paper a family of algebraic models of ZFC based on LPT0, another linguistic variant of J3 introduced by us in 2016. The semantics of LPT0, as well as of its first-order version QLPT0, is given by twist structures defined over Boolean agebras. From this, it is possible to adapt the standard Boolean-valued models of (classical) ZFC to twist-valued models of an expansion of ZFC by adding a paraconsistent negation. We argue that the implication operator of LPT0 is more suitable for a paraconsistent set theory than the implication of PS3, since it allows for genuinely inconsistent sets w such that [(w = w)] = 1/2 . This implication is not a 'reasonable implication' as defined by Löwe and Tarafder. This suggests that 'reasonable implication algebras' are just one way to define a paraconsistent set theory. Our twist-valued models are adapted to provide a class of twist-valued models for (PS3,*), thus generalizing Löwe and Tarafder result. It is shown that they are in fact models of ZFC (not only of ZF). (shrink)

We investigate the structure common to causal theories that attempt to explain a (part of) the world. Causality implies conservation of identity, itself a far from simple notion. It imposes strong demands on the universalizing power of the theories concerned. These demands are often met by the introduction of a metalevel which encompasses the notions of 'system' and 'lawful behaviour'. In classical mechanics, the division between universal and particular leaves its traces in the separate treatment of cinematics and dynamics. This (...) analysis is applied to the mechanical theories of Newton and Leibniz, with some surprising results. (shrink)

A RELATIVISTIC THEORY OF PHENOMENOLOCICAL CONSTITUTION: A SELF-REFERENTIAL, TRANSCENDENTAL APPROACH TO CONCEPTUAL PATHOLOGY. (Vol. I: French; Vol. II: English) -/- Steven James Bartlett -/- Doctoral dissertation director: Paul Ricoeur, Université de Paris Other doctoral committee members: Jean Ladrière and Alphonse de Waehlens, Université Catholique de Louvain Defended publically at the Université Catholique de Louvain, January, 1971. -/- Universite de Paris X (France), 1971. 797pp. -/- The principal objective of the work is to construct an analytically precise methodology which can (...) serve to identify, eliminate, and avoid a certain widespread _conceptual fault_ or _misconstruction_, called a "projective misconstruction" or "projection" by the author. It is argued that this variety of error in our thinking (i) infects a great number of our everyday, scientific, and philosophical concepts, claims, and theories, (ii) has largely been undetected, and (iii), when remedied, leads to a less controversial and more rigorous elucidation of the transcendental preconditions of human knowledge than has traditionally been possible. The dissertation identifies, perhaps for the first time, a _projective_ variety of self-referential inconsistency, and proposes an innovative, self-reflexive approach to transcendental argument in a logical and phenomenological context. The strength of the approach lies, it is claimed, in the fact that a rejection of the approach is possible only on pain of self-referential inconsistency. The argument is developed in the following stages: A general introduction identifies the central theme of the work, defines the scope of applicability of the results reached, and sketches the direction of the studies that follow. The preliminary discussion culminates in a recognition of the need for a _critique of impure reason_. The body of the work is divided into two parts: Section I seeks to develop a methodology, on a purely formal basis, which is, on the one hand, capable of being used to study the transcendental foundations of the special sciences, including its own proper transcendental foundation. On the other hand, the methodology proposed is intended as a diagnostic and therapeutic tool for dealing with _projective_ uses of concepts. The approach initiates an analysis of concepts from a perspective which views _knowledge as coordination_. Section I describes formal structures that possess the status of preconditions in such a coordinative account of knowledge. Special attention is given to the preconditions of _identifying reference_ to logical particulars. The first section attempts, then, to provide a self-referential, transcendental methodology which is essentially revisionary in that it is motivated by a concern for conceptual error-elimination. Phenomenology, considered in its unique capacity as a self-referential, transcendental discipline, is of special relevance to the study. Section II accordingly examines a group of concepts which come into question in connection with the central theme of _phenomenological constitution_. The "_de-projective methodology_" developed in Section I is applied to these concepts that have a foundational importance in transcendental phenomenology. A translation is, in effect, proposed from the language of consciousness to a language in which preconditions of referring are investigated. The result achieved is the elimination of self-defeating, projective concepts from a rigorous, phenomenological study of the constitutive foundations of science. The dissertation was presented in a two volume, double-language format for the convenience of French and English researchers. Each volume contains an analytical index. (shrink)

Although Benjamin Schnieder’s theory of the “ordinary conception” of properties successfully handles paradoxical properties—particularly, the property of non-self-instantiation—it fails to account for ordinary, non-pathological cases. The theory allows the inference of ‘a has the property of being F’ only given F(a) and the prior assertibility of ‘the property of being F can exist’. While this allows us to block an inference to a contradiction, it also blocks all of the non-pathological instances of the inference from ‘a is F’ (...) to ‘a has the property of being F’. It thereby fails both as a theory of the ordinary conception and as a replacement of the ordinary notion, assuming the latter is defective. (shrink)

ABSTRACT ABSTRACT: Nietzsche, we are often told, had an account of 'self' or 'mind' or a 'philosophical psychology', in which what he calls our 'drives' play a highly significant role. This underpins not merely his understanding of mind, in particular, of consciousness and action. but also his positive ethics, be they understood as authenticity, freedom, knowledge, autonomy, self-creation, or power. But Nietzsche did not have anything like a coherent account of 'the drives' according to which the self, the relationship between (...) thought and action, or consciousness could be explained; consequently, he did not have a stable account of drives on which his positive ethics could rest. By this, I do not mean that his account is incomplete or that it is philosophically indefensible: both would leave open, misleadingly, the possibility of a rational reconstruction of Nietzsche’s views; both would already assume more unity and coherence than we find in his texts. Specifically, as I show through detailed analysis, Nietzsche provides varied and inconsistent accounts of what a 'drive' is, how much we can know about drives, and the relationship between drives and conscious deliberations about action. I conclude by questioning the hunt for a Nietzschean theory: is this the best way to be reading him? (shrink)

This paper attempts to address the question what logical strength theories of truth have by considering such questions as: If you take a theory T and add a theory of truth to it, how strong is the resulting theory, as compared to T? It turns out that, in a wide range of cases, we can get some nice answers to this question, but only if we work in a framework that is somewhat different from those usually employed (...) in discussions of axiomatic theories of truth. These results are then used to address a range of philosophical questions connected with truth, such as what Tarski meant by "essential richness" and the so-called conservativeness argument against deflationism. -/- This draft dates from about 2009, with some significant updates having been made around 2011. Around then, however, I decided that the paper was becoming unmanageable and that I was trying to do too many things in it. I have therefore exploded the paper into several pieces, which will be published separately. These include "Disquotationalism and the Compositional Principles", "The Logical Strength of Compositional Principles", "Consistency and the Theory of Truth", and "What Is Essential Richness?" You should probably read those instead, since this draft remains a bit of a mess. Terminology and notation are inconsistent, and some of the proofs aren't quite right. So, caveat lector. I make it public only because it has been cited in a few places now. (shrink)

From the comparison of the Grundrisse (1857-58) manuscripts with Marx's subsequent writings, it is clear that the so-called « deduction » of fundamental economic categories follows two distinctive patterns, one of which is close to ordinary logical analysis, the other being inspired by Hegel's dialectics of essence. This duality is reflected in the double meaning of the concept of « presupposition » (Voraussetzung) and, finally, in the simultaneous endorsement by the Grundrisse of two labour-value theories, one of which is Smithian-like, (...) the other is Ricardian. Marx's reinterpretation of economic value as an « immanent measure », i.e., his claim that commodities are measured by each other when exchange takes place, should help to bridge the gap between the two theories. However, such reinterpretation is shown to be inadequate ; as a result, Marx's account of value should be seen as internally inconsistent. (shrink)

The Integrated Information Theory of consciousness (IIT) claims that consciousness is identical to maximal integrated information, or maximal Φ. One objection to IIT is based on what may be called the intrinsicality problem: consciousness is an intrinsic property, but maximal Φ is an extrinsic property; therefore, they cannot be identical. In this paper, I show that this problem is not unique to IIT, but rather derives from a trilemma that confronts almost any theory of consciousness. Given most theories (...) of consciousness, the following three claims are inconsistent. INTRINSICALITY: Consciousness is intrinsic. NON-OVERLAP: Conscious systems do not overlap with other conscious systems (a la Unger’s problem of the many). REDUCTIONISM: Consciousness is constituted by more fundamental properties (as per standard versions of physicalism and Russellian monism). In view of this, I will consider whether rejecting INTRINSICALITY is necessarily less plausible than rejecting NON-OVERLAP or REDUCTIONISM. I will also consider whether IIT is necessarily committed to rejecting INTRINSICALITY or whether it could also accept solutions that reject NON-OVERLAP or REDUCTIONISM instead. I will suggest that the best option for IIT may be a solution that rejects REDUCTIONISM rather than INTRINSICALITY or NON-OVERLAP. (shrink)

Several philosophers and psychologists have characterized belief in conspiracy theories as a product of irrational reasoning. Proponents of conspiracy theories apparently resist revising their beliefs given disconfirming evidence and tend to believe in more than one conspiracy, even when the relevant beliefs are mutually inconsistent. In this paper, we bring leading views on conspiracy theoretic beliefs closer together by exploring their rationality under a probabilistic framework. We question the claim that the irrationality of conspiracy theoretic beliefs stems from an (...) inadequate response to disconfirming evidence and internal incoherence. Drawing analogies to Lakatosian research programs, we argue that maintaining a core conspiracy belief can be Bayes-rational when it is embedded in a network of auxiliary beliefs, which can be revised to protect the more central belief from disconfirmation. We propose that the irrationality associated with conspiracy belief lies not in a flawed updating method, but in a failure to converge toward wellconfirmed, stable belief networks in the long run. This approach not only reconciles previously disjointed views, but also points toward more specific descriptions of why agents may be prone to adopting beliefs in conspiracy theories. (shrink)

If one is in a moral quandary it is wise to look for ethical guidance if one has the time to do so. Ethical theories are, among other things, intended to be one possible source of ethical guidance. If such guidance is valuable, then in ethics there is an embarrassment of riches: There are multiple, well-accepted, yet mutually inconsistent theories. The disquieting thing is that, at present, it seems that we are not at all close to being able to (...) determine which of them, if any, is right. How can you know what you should do when ethicists, those who devote their careers to studying such theories, cannot reach a consensus on which one we should accept? Those who look to ethical theories for ethical guidance are apt to be disappointed. This situation is problematic, for if ethical theorizing is to have relevance to real-world ethical behavior, and not just be a way of examining ethical issues out of a love of arguments or puzzles, it must be possible for us to use ethical theories to inform ourselves of what we should do. It seems that philosophers have usually tried to address the issue of how one should act by advancing arguments for or against these theories (or certain parts of them). I want to approach this issue from a different angle. The question I will address is this: Can you get ethical guidance about what you should do in certain situations without knowing, or even having good reasons to believe, that any particular ethical theory is right? I think there is. My idea is that if you compare all the viable ethical theories that you know of, and find that all, or at any rate a great majority of them agree about whether an action you’re considering is right, wrong, or permissible, then you know that it is at least highly probable that that action really is right, wrong, or permissible. For if all ethical theories agree about the moral status of an action, it can only fail to have that status if they are all false. And if a great majority of ethical theories agree about the moral status of an action, it can only fail to have that status if all of the theories that agree about its status are false, which becomes more and more improbable as the number of the theories that agree increases. If this approach works, there is a way that one can be guided by ethical theories without having to attempt the difficult task of determining which of them is right. (shrink)