One of the theories that have been produced in linguistics in the light of J. E. McTaggart’s influential essay “The Unreality of Time” (1908) is a critique of reality that may be attributed to the semantics of tenses in natural languages. This chapter from my book The Linguistic Picture of the World: Alice’s Adventures in Many Languages proposes an alternative approach to the semantics of time, not as a dubious product of linguists’ imagination, i.e. not as something that can easily (...) be discarded from the philosophy of language but rather as a firm category of human thinking. Particular emphasis is placed on the idea of time as it is expressed by the seemingly rather contradictory morphology of the past, present, and future. (shrink)

Recently we proposed "quantum language" (or, the linguistic Copenhagen interpretation of quantum mechanics"), which was not only characterized as the metaphysical and linguistic turn of quantum mechanics but also the linguistic turn of Descartes=Kant epistemology. We believe that quantum language is the language to describe science, which is the final goal of dualistic idealism. Hence there is a reason to want to clarify, from the quantum linguistic point of view, the following problems: "brain in a vat argument", "the Cogito proposition", (...) "five-minute hypothesis", "only the present exists", "Copernican revolution", "McTaggart's paradox", and so on. In this paper, these will be discussed and clarified in quantum language. That is, these are not in quantum language. Also we emphasize that Leibniz's relationalism in Leibniz-Clarke correspondence is regarded as one of the most important parts of the linguistic Copenhagen interpretation of quantum mechanics. This paper is the revised version of the paper: Open Journal of Philosophy, 2018 Vol.8, No.5, 466-480). (shrink)

J. McTaggart argues that the philosophical conception of time is constituted by the notions of fluid and static time. Since, on his view, neither notion is philosophically viable, he concludes that time is nothing but an illusion that arises from our distorted perception of essentially atemporal reality. In the paper, I argue that despite McTaggart’s failure to prove the unreality of time as such, he does succeed in establishing his lesser claim that the concept of fluid time is without any (...) ontological import whatsoever. (shrink)

McTaggart’s theory of time is the locus classicus of the contemporary philosophy of time. However, despite its prominence, there is little agreement as to what the theory actually amounts. In this paper, it is first argued that, contrary to the received opinion, McTaggart’s A-time/B-time distinction is not a distinction between static and fluid temporal series. Rather, it is a certain distinction between two types of static temporal series. It is then shown that in his temporal transience paradox, McTaggart employs (...) these two distinct notions of temporal series. The paper is concluded with the claim that McTaggart's temporal transience paradox is best understood not as a contradiction, but as a dilemma both horns of which are unsatisfactory. (shrink)

The intention of this critical review of McTaggart’s 1908 paper is to bring about a distinction between Time and Motion . This distinction is crucial to our understanding of both time as well as motion because so far they have ben treated by all as one and the same. McTaggart, by at least recognizing two different “series” which he calls the A-series and the B-series, has given us a starting point to further understand this distinction. In the process of establishing (...) this distinction we will find ourselves encountering new concepts hitherto unrecognized in philosophy and physics and eventually understand the basis of the numerous paradoxes that time and motion involve dating all the way back to Zeno. (shrink)

I offer an interpretation and a partial defense of Kit Fine's ‘Argument from Passage’, which is situated within his reconstruction of McTaggart's paradox. Fine argues that existing A-theoretic approaches to passage are no more dynamic, i.e. capture passage no better, than the B-theory. I argue that this comparative claim is correct. Our intuitive picture of passage, which inclines us towards A-theories, suggests more than coherent A-theories can deliver. In Finean terms, the picture requires not only Realism about tensed (...) facts, but also Neutrality, i.e. the tensed facts not being ‘oriented towards’ one privileged time. However unlike Fine, and unlike others who advance McTaggartian arguments, I take McTaggart's paradox to indicate neither the need for a more dynamic theory of passage nor that time does not pass. A more dynamic theory is not to be had: Fine's ‘non-standard realism’ amounts to no more than a conceptual gesture. But instead of concluding that time does not pass, we should conclude that theories of passage cannot deliver the dynamicity of our intuitive picture. For this reason, a B-theoretic account of passage that simply identifies passage with the succession of times is a serious contender. (shrink)

McTaggart, in his famous paper, “The Unreality of Time” (1908), argues in favor of the sceptical claim that time is unreal. His main argument is based on detecting a paradox in our ordinary descriptions of time or events occurring in time. Based on our common sense conception of time, time and the events happening in it can be described in two ways: either as having the properties of “being past”, “being present” and “being future”, or as having the properties (...) of “being earlier than”, “being later than”, or “being simultaneous with”. McTaggart argues that employing the second sort of properties fails to properly explain “change” in time. However, having assumed the essentiality of the first type of properties to time, McTaggart argues that these properties will themselves lead to a paradox, according to which all events are at the same time in the past, present, and future. In this essay, we are going to provide a clear exposition of McTaggart’s argument and briefly review some of the main responses to it. We will then show that McTaggart’s argument will amount to error-theory about the content of our utterances about time. We will then employ Boghossian’s argument against error-theory (1990) to show why McTaggart’s argument leads to paradoxical conclusions. (shrink)

I sitt berömda bevis för tidens overklighet påstod McTaggart att det sätt händelser tycks skifta position i tiden från framtid till nutid och till förfluten tid, innebär en motsägelse. Vad McTaggart egentligen menade har varit föremål för en livlig debatt ända sedan beviset först publicerades 1908. Beviset består av två delar. I den första argumenterar McTaggart för att ingenting kan förändras förutom genom att övergå från framtid till förfluten tid. I den andra argumenterar han för att en sådan övergång innebär (...) en motsägelse och att det därför inte kan finnas någon förändring överhuvudtaget, vilket i sin tur innebär att det heller inte finns någon tid. De flesta filosofer är i dag eniga om att McTaggart har fel, men oeniga om på vilket sätt han har fel. Olika filosofer förkastar olika delar av beviset, beroende på om de har vad som kallas en A- eller B-uppfattning av tiden. De som har en A-uppfattning förnekar att tid förstådd som övergång från framtid till förfluten tid är motsägelsefull. De som har en B-uppfattning förnekar att en övergång från framtid till förfluten tid är nödvändig för förändring, men håller med om att sådan övergång är motsägelsefull. Det är min uppfattning att denna oenighet beror på att McTaggarts argument från första början blivit missuppfattat, av både A- och B-teoretiker. Av någon anledning har det alltid betraktats som ett självständigt argument, ett som är oberoende av det ontologiska system McTaggart förespråkade. Jag föreslår ett nytt sätt att förstå hur han menade att tiden är motsägelsefull. Ett sätt som tar hans ontologiska system som utgångspunkt. (shrink)

McTaggart, in his famous paper, “The Unreality of Time” (1908), argues in favor of the sceptical claim that time is unreal. His main argument is based on detecting a paradox in our ordinary descriptions of time or events occurring in time. Based on our common sense conception of time, time and the events happening in it can be described in two ways: either as having the properties of “being past”, “being present” and “being future”, or as having the properties (...) of “being earlier than”, “being later than”, or “being simultaneous with”. McTaggart argues that employing the second sort of properties fails to properly explain “change” in time. However, having assumed the essentiality of the first type of properties to time, McTaggart argues that these properties will themselves lead to a paradox, according to which all events are at the same time in the past, present, and future. In this essay, we are going to provide a clear exposition of McTaggart’s argument and briefly review some of the main responses to it. We will then show that McTaggart’s argument will amount to error-theory about the content of our utterances about time. We will then employ Boghossian’s argument against error-theory (1990) to show why McTaggart’s argument leads to paradoxical conclusions. (shrink)

There are three questions associated with Simpson’s Paradox (SP): (i) Why is SP paradoxical? (ii) What conditions generate SP?, and (iii) What should be done about SP? By developing a logic-based account of SP, it is argued that (i) and (ii) must be divorced from (iii). This account shows that (i) and (ii) have nothing to do with causality, which plays a role only in addressing (iii). A counterexample is also presented against the causal account. Finally, the causal and (...) logic-based approaches are compared by means of an experiment to show that SP is not basically causal. (shrink)

This paper proposes an interpretation of time that is an 'A-theory' in that it incorporates both McTaggart's A-series and his B-series. The A-series characteristics are supposed to be 'ontologically private' analogous to qualia in the Inverted Spectrum thought experiment and is given a definition. It is proposed one may define a 'unit of becoming' that coordinatizes the future/present/past spectrum as well as allowing one to calculate the rates of becoming. We give a picture of this interpretation and discuss how (...) it relates to the Schrodinger's Cat paradox. (shrink)

This paper proposes an interpretation of time that is an 'A-theory' in that it incorporates both McTaggart's A-series and his B-series. The A-series characteristics are supposed to be 'ontologically private' analogous to qualia in the Inverted Spectrum thought experiment and is given a definition. The main idea is that the experimenter and the cat do not share the same A-series characteristics. So there is no single time at which the cat gets ascribed different states. It is proposed one may (...) define a 'unit of becoming' that coordinatizes the future/present/past spectrum as well as allowing one to calculate the rates of becoming. We give a picture of this interpretation and discuss how it relates to the Schrodinger's Cat 'paradox'. Also relativity is briefly considered. (shrink)

This paper proposes an interpretation of time that is an 'A-theory' in that it incorporates both McTaggart's A-series and his B-series. The A-series characteristics are supposed to be 'ontologically private' analogous to qualia in the problem of other minds and is given a definition. The main idea is that the experimenter and the cat do not share the same A-series characteristics, e.g the same 'now'. So there is no single time at which the cat gets ascribed different states. It (...) is proposed one may define a 'unit of becoming' that coordinatizes the future/present/past 'private' spectrum as well as allowing one to calculate the rates of becoming. Relativity is briefly considered. (shrink)

Silence is a multifaceted concept which is not merely as an absence of sound but a presence with significant ontological, existential, and phenomenological implications. Through a thematic analysis, this paper deconstructs silence into various dimensions—its ontology, linguistic universality, and its function as cessation of speech, a form of listening, an act of kenosis, a form of ascesis, and a way of life. The study employs philosophical discourse and mathematical notation to delve into these aspects, demonstrating that while each perspective sheds (...) light on certain facets of silence, none can comprehensively encapsulate its essence. The research underscores the paradoxical nature of silence. It is both a universal phenomenon recognised across cultures and an intimate, personal experience that resists definitive categorisation. The paper concludes that the true nature of silence, particularly when considering the state of "being silent," remains indefinable and elusive, inviting deeper contemplation on its role in human experience. (shrink)

There are three questions associated with Simpson’s paradox (SP): (i) Why is SP paradoxical? (ii) What conditions generate SP? and (iii) How to proceed when confronted with SP? An adequate analysis of the paradox starts by distinguishing these three questions. Then, by developing a formal account of SP, and substantiating it with a counterexample to causal accounts, we argue that there are no causal factors at play in answering questions (i) and (ii). Causality enters only in connection with (...) action. (shrink)

This paper proposes an interpretation of time that is an 'A-theory' in that it incorporates both McTaggart's A-series and his B-series. The A-series characteristics are supposed to be 'ontologically private' analogous to qualia in the problem of other minds, such as in the Inverted Spectrum thought experiment, and is given a definition. The main idea is then that the experimenter and the cat do not share the same A-series characteristics, e.g. the same 'now', to some extent. So there is (...) no single time at which the cat gets ascribed different states, one by the experimenter and one by the cat. Also it is proposed one may define an ontologically private 'unit of becoming' that coordinatizes the future/present/past A-series spectrum as well as allow one to calculate rates of becoming with seconds. The latter are taken to measure differences in B-series times. (shrink)

We address the need for a model by considering two competing theories regarding the origin of life: (i) the Metabolism First theory, and (ii) the RNA World theory. We discuss two interrelated points, namely: (i) Models are valuable tools for understanding both the processes and intricacies of origin-of-life issues, and (ii) Insights from models also help us to evaluate the core objection to origin-of-life theories, called “the inefficiency objection”, which is commonly raised by proponents of both the Metabolism First theory (...) and the RNA World theory against each other. We use Simpson’s Paradox (SP) as a tool for challenging this objection. We will use models in various senses, ranging from taking them as representations of reality to treating them as theories/accounts that provide heuristics for probing reality. In this paper, we will frequently use models and theories interchangeably. Additionally, we investigate Conway’s Game of Life and contrast it with our SP-based approach to emergence-of-life issues. Finally, we discuss some of the consequences of our view. A scientific model is testable in three senses: (i) a logical sense, (ii) a nomological sense, and (iii) a current technological sense. The SP-based model is testable in the first two senses but it is not feasible to test it using current technology. (shrink)

As these opening quotes acknowledge, the Prisoner’s Dilemma (PD) represents a core puzzle within the formal mathematics of game theory.3 Its rise in conspicuity is evident figure 2.1 above demonstrating a relatively steady rise in incidences of the phrase’s usage between 1960 to 1995, with a stable presence persisting into the twenty first century. This famous two-person “game,” with a stock narrative cast in terms of two prisoners who each independently must choose whether to remain silent or speak, each advancing (...) self-interest at the expense of the other and thereby achieving a mutually suboptimal outcome, mires any social interaction it is applied to into perplexity. The logic of this game proves the inverse of Adam Smith’s invisible hand: individuals acting on self interest will achieve a mutually suboptimal outcome. However, as this chapter illuminates, the assumptions underlying game theory drive this conclusion. (shrink)

The problem of measurement in economic models and the possibility of their quantum-mechanical description are considered. It is revealed that the apparent paradox of such a description is associated with a priori requirement of conformity of the model to all the alternatives of free choice of the observer. The measurement of the state of a trader on a stock exchange is formally defined as his responses to the proposals of sale at a fixed price. It is shown that an (...) analogue of Bell's inequalities for this measurement model is violated at the most general assumptions related to the strategy of the trader and requires a quantummechanical description of the dynamics of his condition. In the framework of the theory of weak continuous quantum measurements, the equation of stock price dynamics and the quantum-mechanical generalization of the F. Black and M. Scholes model for pricing options are obtained. The fundamental distinctions between the obtained model and the classical one are discussed. (shrink)

Introduction Reza Davari Ardakni, the Iranian contemporary philosopher, distinguishes development from Western modernity; in that it considers modernity as natural and organic changes that Europe has gone through, but sees development as a planned design for implementing modernity in other countries. As a result, the closedness of development concerns only the developing countries, not Western modern ones. Davari emphasizes that the Western modernity has a universality that pertains to a unique reason and a unified world. The only way of thinking (...) in this world is a philosophical thought based on human self-centered reason, and given the pervasiveness of Western civilization. Therefore, Davari does not consider Westernization as mere imitation of Western customs and methods, but rather as a way of existence in the world. Westernization is a subjective view of the world and beings. Westernization is not optional, enabling non-Western people to avoid it. According to the Westernization scenario, the world today is entirely Westernized, and Davari considers Westernization as the inevitable fate of the people of this era, seeing two alternatives for them, both of which ultimately lead to the same destination, which is to embrace development; either they seize the power of science and technology and join the process of global modernization and participate in it, or they become subdued by this process and accept it without participation. Davari regards the first type of Westernization as active and the second type as passive. Problematique Therefore, underdevelopment is not a concept of the ancient world, nor even of a world between the ancient and the modern, or on the threshold of modernization. Underdevelopment is a condition of suspension and timelessness and being exposed to modernization. To escape the paradox of underdevelopment, which is the inevitable historical fate of non-modernized societies, Davari sees no way out other than embracing development. In other words, Westernized societies, which have become confused due to modernization, have no escape route other than turning to development. Therefore, some critics of Davari accuse the theory of Westernization of being a theoretical rupture. M. T. Tabatabaei, by rejecting the theoretical rupture in the theory of Westernization, believes that in the argument of Davari, we are only faced with a shift from a philosophical to an intellectual level. Tabatabaei, by avoiding providing a philosophical response to the critics of the theoretical rupture, believes that the introduction of active Westernization and collaboration in science and technology as a solution to escape from underdevelopment conditions, is only a shift from a philosophical level to an intellectual level and does not involve a rupture. Therefore, it seems that the philosophical issue of how or the possibility of escaping from underdevelopment conditions is still an open non answered problem. In this study, seeking a philosophical answer to this problem, an attempt has been made to summarize Davari's definitions of development, underdevelopment, participation in the world of science, and the role of humanities and social sciences in development, using his writings and speeches. It is proposed that a way to escape from the clesedness of development based on Davari's views, is to make use of analytical method with emphasizing on concepts and theories of the philosophy and metaphysics of science. Argument According to Davari, the social and human sciences that are responsible for development planning in underdeveloped societies must consider the characteristics of underdevelopment in order to facilitate the transition to more favorable conditions. Davari identifies the following conditions for successful development: 1) replacing tradition with science as the organizing and coordinating principle in society, 2) recognizing the universality of philosophy and science of the Western modernity and the impossibility of blindly imitation and adopting it, 3) inevitability of actively engaging and interacting with development, 4) recognizing the internal dynamics of scientific progress and avoiding authoritarian control, and 5) promoting free participation in the scientific paradigms. Therefore, Davari suggests the following steps towards development: 1) recognizing and understanding the problems of society and the local ecosystem, 2) understanding the philosophical and cultural foundations of Western civilization, 3) understanding the historical context and paradigms of science, 4) understanding the philosophical and metaphysical foundations of science, 5) recognizing the intellectual and philosophical capacities of our own community, and 6) reflecting our own philosophical and metaphysical assumptions in the scientific world in a way that is compatible with scientific methods. Given the motivations for change in science at both the global and national levels, including the emergence of heterodox or indigenous sciences, and the inevitable nature of development, Davari points to the possibility of a path between absolute rejecting or accepting the mainstream social and human sciences. However, this path is challenging and contingent upon the aforementioned conditions and steps of transition. Conclusion It is necessary to seek this path within the realm of the philosophy and metaphysics of science, particularly in the origins and foundations of the social and human sciences. Research in the metaphysics and philosophy of the social sciences provides the opportunity for active scientific engagement in the scientific paradigms and a reconsideration of the foundations of science, allowing for different philosophical foundations while are compatible with scientific methods. Successfully finding a path between absolute rejecting or accepting the existing social sciences will lead to an internal transformation within the field of science and, in fact, will advance the boundaries of knowledge. Therefore, it is possible, while adhering to the conditions of transition and actively participating in the world of science and technology, and accepting the unity of modernity and avoiding selectivity and imitation, to search for a way to overcome the closedness of development through a reconsideration of the philosophical and metaphysical foundations of science, while recognizing our own intellectual heritage and critically assessing Western science and technology. (shrink)

Next SectionThis article argues against two dominant accounts of the nature of nostalgia. These views assume that nostalgia depends, in some way, on comparing a present situation with a past one. However, neither does justice to the full range of recognizably nostalgic experiences available to us – in particular, ‘Proustian’ nostalgia directed at involuntary autobiographical memories. Therefore, the accounts in question fail. I conclude by considering an evaluative puzzle raised by Proustian nostalgia when it is directed at memories that the (...) nostalgist herself regards as non-veridical. (shrink)

This paper explores the possibility that Hobbesian jurisprudence is best understood as a ‘third way’ in legal theory, irreducible to classical natural law or legal positivism. I sketch two potential ‘third theories’ of law -- legal pragmatism and legal dualism -- and argue that, when considered in its broadest sense, Leviathan is best viewed as an example of legal pragmatism. I consider whether this legal pragmatist interpretation can be sustained in the examination of Leviathan’s treatment of civil law, and argue (...) that the pragmatic interpretation can only be successful if we can resolve two textual issues in that chapter. First, while Hobbes argues that law entails the existence of public (sharable) reasons, he does not adequately defend the view that the sovereign is the unique authority over such reasons in all cases, especially as far as they concern known collective emergencies. Second, Hobbes both affirms and denies that a sovereign can fail to do justice, which is paradoxical. Both problems are best resolved by legal pragmatism, though the second problem resists a fully satisfying resolution. The upshot is that, although Leviathan ought to be regarded as an episode of legal pragmatism, there are trade-offs on every reading. (shrink)

Fitch’s Paradox shows that if every truth is knowable, then every truth is known. Standard diagnoses identify the factivity/negative infallibility of the knowledge operator and Moorean contradictions as the root source of the result. This paper generalises Fitch’s result to show that such diagnoses are mistaken. In place of factivity/negative infallibility, the weaker assumption of any ‘level-bridging principle’ suffices. A consequence is that the result holds for some logics in which the “Moorean contradiction” commonly thought to underlie the result (...) is in fact consistent. This generalised result improves on the current understanding of Fitch’s result and widens the range of modalities of philosophical interest to which the result might be fruitfully applied. Along the way, we also consider a semantic explanation for Fitch’s result which answers a challenge raised by Kvanvig. (shrink)

We present an axiomatization of non-relativistic Quantum Mechanics for a system with an arbitrary number of components. The interpretation of our system of axioms is realistic and objective. The EPR paradox and its relation with realism is discussed in this framework. It is shown that there is no contradiction between realism and recent experimental results.

McTaggart’s paradox and his A-theory and B-theory are basic notions in the contemporary philosophy of time. It is well known that the paradox was introduced by McTaggart’s paper called “The Unreality of Time” published in 1908, so that it has a one-hundred-year history. As for A-theory and B-theory, in contrast, McTaggart himself didn’t consider both of them at all. The notions of A-theory and B-theory came much later, 60 years after the paradox. Moreover, they had not been (...) as popularized as they are today until quite recently, at least after the 1990s. This paper aims to trace the origin of the notions of A-theory and B-theory and show how the debates behind them, especially objections to “spatialising time,” form the notions. (shrink)

Moore’s Paradox is a test case for any formal theory of belief. In Knowledge and Belief, Hintikka developed a multimodal logic for statements that express sentences containing the epistemic notions of knowledge and belief. His account purports to offer an explanation of the paradox. In this paper I argue that Hintikka’s interpretation of one of the doxastic operators is philosophically problematic and leads to an unnecessarily strong logical system. I offer a weaker alternative that captures in a more (...) accurate way our logical intuitions about the notion of belief without sacrificing the possibility of providing an explanation for problematic cases such as Moore’s Paradox. (shrink)

Philosophical views about the logical structure of time are typically divided between proponents of A and B theories, based on McTaggart's A and B series. Drawing on Paul Ricoeur's hermeneutic phenomenology, I develop and defend McTaggart's thesis that the C series and the A series working together give a consistent description of temporal experience, provided that the two series are treated as distinct dimensions internal to time. In the proposed two-dimensional model, the C series expresses a nesting order (...) of the constitutive states of a world, whereas ontological continuity and change are properties of the A series. This, I argue, allows for limited backward causation. (shrink)

Majority cycling and related social choice paradoxes are often thought to threaten the meaningfulness of democracy. But deliberation can prevent majority cycles – not by inducing unanimity, which is unrealistic, but by bringing preferences closer to single-peakedness. We present the first empirical test of this hypothesis, using data from Deliberative Polls. Comparing preferences before and after deliberation, we find increases in proximity to single-peakedness. The increases are greater for lower versus higher salience issues and for individuals who seem to have (...) deliberated more versus less effectively. They are not merely a byproduct of increased substantive agreement. Our results both refine and support the idea that deliberation, by increasing proximity to single-peakedness, provides an escape from the problem of majority cycling. (shrink)

This article concerns the psychology of the paradoxical Two Envelope Problem. The goal is to find instructive variants of the envelope switching problem that are capable of clear-cut resolution, while still retaining paradoxical features. By relocating the original problem into different contexts involving commutes and playing cards the reader is presented with a succession of resolved paradoxes that reduce the confusion arising from the parent paradox. The goal is to reduce confusion by understanding how we sometimes misread mathematical statements; (...) or, to completely avoid confusion, either by reforming language, or adopting an unambiguous notation for switching problems. This article also suggests that an illusion close in character to the figure/ground illusion hampers our understanding of switching problems in general and helps account for the intense confusion that switching problems sometimes generate. (shrink)

A new constructivist approach to modeling in economics and theory of consciousness is proposed. The state of elementary object is defined as a set of its measurable consumer properties. A proprietor's refusal or consent for the offered transaction is considered as a result of elementary economic measurement. We were also able to obtain the classical interpretation of the quantum-mechanical law of addition of probabilities by introducing a number of new notions. The principle of “local equity” assumes the transaction completed (regardless (...) of the result) of the states of transaction partners are not changed in connection with the reception of new information on proposed offers or adopted decisions (consent or refusal of the transaction). However it has no relation to the paradoxes of quantum theory connected with non-local interaction of entangled states. In the economic systems the mechanism of entangling has a classical interpretation, while the quantum-mechanical formalism of the description of states appears as a result of idealization of the selection mechanism in the proprietor's consciousness. (shrink)

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)

This paper argues that justification is accessible in the sense that one has justification to believe a proposition if and only if one has higher-order justification to believe that one has justification to believe that proposition. I argue that the accessibility of justification is required for explaining what is wrong with believing Moorean conjunctions of the form, ‘p and I do not have justification to believe that p.’.

A principle, according to which any scientific theory can be mathematized, is investigated. That theory is presupposed to be a consistent text, which can be exhaustedly represented by a certain mathematical structure constructively. In thus used, the term “theory” includes all hypotheses as yet unconfirmed as already rejected. The investigation of the sketch of a possible proof of the principle demonstrates that it should be accepted rather a metamathematical axiom about the relation of mathematics and reality. Its investigation needs philosophical (...) means. Husserl’s phenomenology is what is used, and then the conception of “bracketing reality” is modelled to generalize Peano arithmetic in its relation to set theory in the foundation of mathematics. The obtained model is equivalent to the generalization of Peano arithmetic by means of replacing the axiom of induction with that of transfinite induction. A comparison to Mach’s doctrine is used to be revealed the fundamental and philosophical reductionism of Husserl’s phenomenology leading to a kind of Pythagoreanism in the final analysis. Accepting or rejecting the principle, two kinds of mathematics appear differing from each other by its relation to reality. Accepting the principle, mathematics has to include reality within itself in a kind of Pythagoreanism. These two kinds are called in paper correspondingly Hilbert mathematics and Gödel mathematics. The sketch of the proof of the principle demonstrates that the generalization of Peano arithmetic as above can be interpreted as a model of Hilbert mathematics into Gödel mathematics therefore showing that the former is not less consistent than the latter, and the principle is an independent axiom. An information interpretation of Hilbert mathematics is involved. It is a kind of ontology of information. Thus the problem which of the two mathematics is more relevant to our being is discussed. An information interpretation of the Schrödinger equation is involved to illustrate the above problem. (shrink)

I give an interpretation according to which Meno’s paradox is an epistemic regress problem. The paradox is an argument for skepticism assuming that (1) acquired knowledge about an object X requires prior knowledge about what X is and (2) any knowledge must be acquired. (1) is a principle about having reasons for knowledge and about the epistemic priority of knowledge about what X is. (1) and (2) jointly imply a regress-generating principle which implies that knowledge always requires an (...) infinite sequence of known reasons. Plato’s response to the problem is to accept (1) but reject (2): some knowledge is innate. He argues from this to the conclusion that the soul is immortal. This argument can be understood as a response to an Eleatic problem about the possibility of coming into being that turns on a regress-generating causal principle analogous to the regress-generating principle presupposed by Meno’s paradox. (shrink)

We shall evaluate two strategies for motivating the view that knowledge is the norm of belief. The first draws on observations concerning belief's aim and the parallels between belief and assertion. The second appeals to observations concerning Moore's Paradox. Neither of these strategies gives us good reason to accept the knowledge account. The considerations offered in support of this account motivate only the weaker account on which truth is the fundamental norm of belief.

In this paper, I argue that the recent discussion on the time - reversal invariance of classical electrodynamics (see (Albert 2000: ch.1), (Arntzenius 2004), (Earman 2002), (Malament 2004),(Horwich 1987: ch.3)) can be best understood assuming that the disagreement among the various authors is actually a disagreement about the metaphysics of classical electrodynamics. If so, the controversy will not be resolved until we have established which alternative is the most natural. It turns out that we have a paradox, namely that (...) the following three claims are incompatible: the electromagnetic fields are real, classical electrodynamics is time-reversal invariant, and the content of the state of affairs of the world does not depend on whether it belongs to a forward or a backward sequence of states of the world. (shrink)

I argue that Meno’s Paradox targets the type of knowledge that Socrates has been looking for earlier in the dialogue: knowledge grounded in explanatory definitions. Socrates places strict requirements on definitions and thinks we need these definitions to acquire knowledge. Meno’s challenge uses Socrates’ constraints to argue that we can neither propose definitions nor recognize them. To understand Socrates’ response to the challenge, we need to view Meno’s challenge and Socrates’ response as part of a larger disagreement about the (...) value of inquiry. (shrink)

If I were to say, “Agnes does not know that it is raining, but it is,” this seems like a perfectly coherent way of describing Agnes’s epistemic position. If I were to add, “And I don’t know if it is, either,” this seems quite strange. In this chapter, we shall look at some statements that seem, in some sense, contradictory, even though it seems that these statements can express propositions that are contingently true or false. Moore thought it was paradoxical (...) that statements that can express true propositions or contingently false propositions should nevertheless seem absurd like this. If we can account for the absurdity, we shall solve Moore’s Paradox. In this chapter, we shall look at Moore’s proposals and more recent discussions of Moorean absurd thought and speech. (shrink)

An examination of McTaggart’s [1908] argument for the unreality of time.

Since it was presented in 1963, Chisholm’s paradox has attracted constant attention in the deontic logic literature, but without the emergence of any definitive solution. We claim this is due to its having no single solution. The paradox actually presents many challenges to the formalization of deontic statements, including (1) context sensitivity of unconditional oughts, (2) formalizing conditional oughts, and (3) distinguishing generic from nongeneric oughts. Using the practical interpretation of ‘ought’ as a guideline, we propose a linguistically (...) motivated logical solution to each of these problems, and explain the relation of the solution to the problem of contrary-to-duty obligations. (shrink)

Zeno’s paradoxes of motion, allegedly denying motion, have been conceived to reinforce the Parmenidean vision of an immutable world. The aim of this article is to demonstrate that these famous logical paradoxes should be seen instead as paradoxes of immobility. From this new point of view, motion is therefore no longer logically problematic, while immobility is. This is convenient since it is easy to conceive that immobility can actually conceal motion, and thus the proposition “immobility is mere illusion of the (...) senses” is much more credible than the reverse thesis supported by Parmenides. Moreover, this proposition is also supported by modern depiction of material bodies: the existence of a ceaseless random motion of atoms—the ‘thermal agitation’—in the scope of contemporary atomic theory, can offer a rational explanation of this ‘illusion of immobility’. Our new approach to Zeno’s paradoxes therefore leads to presenting the novel concept of ‘impermobility’, which we think is a more adequate description of physical reality. (shrink)

I consider a puzzling case presented by Jose Benardete, and by appeal to this case develop a paradox involving counterfactual conditionals. I then show that this paradox may be leveraged to argue for certain non-obvious claims concerning the logic of counterfactuals.

On page 14 of "Reconceptions in Philosophy and Other Arts and Sciences" (section 4 of chapter 1) by Nelson Goodman and Catherine Z. Elgin is written: “Since ‘blue’ and ‘green’ are interdefinable with ‘grue’ and ‘bleen’, the question of which pair is basic and which pair derived is entirely a question of which pair we start with”. This paper points out that an example of interdefinability is also that one about the predicate “grueb”, which is a predicate that applies to (...) an object if the object either is green and examined before time b, or is non-green and not examined before time b. The three predicates “green”, “grueb”, “examined before time b” are interdefinable. According to Goodman, since the predicates “blue” and “green” are interdefinable with the predicates “grue” and “bleen”, “if we can tell which objects are blue and which objects are green, we can tell which ones are grue and which ones are bleen” [pages 12-13 of “Reconceptions in Philosophy and Other Arts and Sciences”]. But , even though the predicates “green” and “examined before time b” are interdefinable, being able to tell if an object is green does not imply being able to tell if an object is examined before time b. The interdefinability among three elements is a type of interdefinability present, for example, also among the logical connectives. Another example of interdefinability is that one about a decidable predicate PD, which is interdefinable with an undecidable predicate PU: therefore even though we can tell whether an object is PD and whether an object is non-PD, we cannot tell whether an object is PU (since PU is an undecidable predicate) and whether an object is non-PU. Although the predicates PD and PU are interdefinable, the possibility to determine whether an object is PD does not imply the possibility to determine whether an object is PU (since PU is an undecidable predicate). Similarly, although the predicates “green” and “grue” are interdefinable, the possibility to determine whether an object is “green” even in absence of temporal information does not imply the possibility to determine whether an object is “grue” even in absence of temporal information. These and other examples about “grue” and “bleen” point out that even in case two predicates are interdefinable, the possibility to apply a predicate P does not imply the possibility to apply a predicate interdefinable with P. And that the possibility to apply the predicate “green” without having temporal information does not imply the possibility to apply the predicate “grue” without having temporal information. According to Goodman, if it is possible to determine if an object is green without needing temporal information, then it is also possible to determine if an object is grue without needing temporal information. But, knowing that an object is both green and grue implies temporal information: in fact, we know by definition that a grue object can only be: 1) either green (in case the object is examined before time t); 2) or blue (in case the object is not examined before time t). Thus, knowing that an object is both grue and green, we know that we are faced with case 1, the case of a grue object that is green and examined before time t. Then the paper points out why the Goodman-Kripke paradox is a paradox about meaning that cannot have repercussions on induction. Finally the paper points out why Hume’s problem is a problem different from Goodman’s paradox and requires a specific treatment. (shrink)

ABSTRACT According to David Lewis, alteration is "qualitative difference between temporal parts of something." It follows that moments, since they are simple and lack temporal parts, cannot alter from future to present to past. Here then is another way to put McTaggart's paradox about change in tense. I will appeal to my theory of Aspects to rebut the thought behind this rendition of McTaggart. On my theory, it is possible that qualitatively differing things be numerically identical. I call (...) these differing, numerically identical things "aspects." I will argue that alteration can be a qualitative difference between temporal aspects of something that lacks temporal parts. So a moment can alter in tense. By rejecting Lewis's assumption my theory can solve this version of McTaggart's paradox. (shrink)

The principle of indifference is supposed to suffice for the rational assignation of probabilities to possibilities. Bertrand advances a probability problem, now known as his paradox, to which the principle is supposed to apply; yet, just because the problem is ill‐posed in a technical sense, applying it leads to a contradiction. Examining an ambiguity in the notion of an ill‐posed problem shows that there are precisely two strategies for resolving the paradox: the distinction strategy and the well‐posing strategy. (...) The main contenders for resolving the paradox, Marinoff and Jaynes, offer solutions which exemplify these two strategies. I show that Marinoff’s attempt at the distinction strategy fails, and I offer a general refutation of this strategy. The situation for the well‐posing strategy is more complex. Careful formulation of the paradox within measure theory shows that one of Bertrand’s original three options can be ruled out but also shows that piecemeal attempts at the well‐posing strategy will not succeed. What is required is an appeal to general principle. I show that Jaynes’s use of such a principle, the symmetry requirement, fails to resolve the paradox; that a notion of metaindifference also fails; and that, while the well‐posing strategy may not be conclusively refutable, there is no reason to think that it can succeed. So the current situation is this. The failure of Marinoff’s and Jaynes’s solutions means that the paradox remains unresolved, and of the only two strategies for resolution, one is refuted and we have no reason to think the other will succeed. Consequently, Bertrand’s paradox continues to stand in refutation of the principle of indifference. (shrink)

An important suggestion of objective Bayesians is that the maximum entropy principle can replace a principle which is known to get into paradoxical difficulties: the principle of indifference. No one has previously determined whether the maximum entropy principle is better able to solve Bertrand’s chord paradox than the principle of indifference. In this paper I show that it is not. Additionally, the course of the analysis brings to light a new paradox, a revenge paradox of the chords, (...) that is unique to the maximum entropy principle. (shrink)

It will be shown in this article that an ontological approach for some problems related to the interpretation of Quantum Mechanics (QM) could emerge from a re-evaluation of the main paradox of early Greek thought: the paradox of Being and non-Being, and the solutions presented to it by Plato and Aristotle. More well known are the derivative paradoxes of Zeno: the paradox of motion and the paradox of the One and the Many. They stem from what (...) was perceived by classical philosophy to be the fundamental enigma for thinking about the world: the seemingly contradictory results that followed from the co-incidence of being and non-being in the world of change and motion as we experience it, and the experience of absolute existence here and now. The most clear expression of both stances can be found, again following classical thought, in the thinking of Heraclitus of Ephesus and Parmenides of Elea. The problem put forward by these paradoxes reduces for both Plato and Aristotle to the possibility of the existence of stable objects as a necessary condition for knowledge. Hence the primarily ontological nature of the solutions they proposed: Plato’s Theory of Forms and Aristotle’s metaphysics and logic. Plato’s and Aristotle’s systems are argued here to do on the ontological level essentially the same: to introduce stability in the world by introducing the notion of a separable, stable object, for which a ‘principle of contradiction’ is valid: an object cannot be and not-be at the same place at the same time. So it becomes possible to forbid contradiction on an epistemological level, and thus to guarantee the certainty of knowledge that seemed to be threatened before. After leaving Aristotelian metaphysics, early modern science had to cope with these problems: it did so by introducing “space” as the seat of stability, and “time” as the theater of motion. But the ontological structure present in this solution remained the same. Therefore the fundamental notion ‘separable system’, related to the notions observation and measurement, themselves related to the modern concepts of space and time, appears to be intrinsically problematic, because it is inextricably connected to classical logic on the ontological level. We see therefore the problems dealt with by quantum logic not as merely formal, and the problem of ‘non-locality’ as related to it, indicating the need to re-think the notions system, entity, as well as the implications of the operation ‘measurement’, which is seen here as an application of classical logic (including its ontological consequences) on the material world. (shrink)