Robert Aumann argues that common knowledge of rationality implies backward induction in finite games of perfect information. I have argued that it does not. A literature now exists in which various formal arguments are offered in support of both positions. This paper argues that Aumann's claim can be justified if knowledge is suitably reinterpreted.

The ArgumentEinstein's concept of causality as analyzed in this paper is a thick concept comprised of: (a) regularity; (b) locality; (c) symmetry considerations leading to conservation laws; (d) mutuality of causal interaction. The main theses are: 1. Since (b)–(d) are not elements of Hume's concept of causality, Einstein's concept, the concept embedded in the theory of relativity, is manifestly non–Humean. 2. On a Humean conception, Newtonian mechanics is a paradigmatically causal theory. Einstein, however, regarded this theory as causally deficient, for (...) it fails to comply with both (b) and (d). Special relativity was (partly) motivated by the wish to correct the first of these failures; general relativity the second. 3. Ironically, general relativity, based on the thick concept of causality, opens the way for a conventionalist understanding of that concept. 4. With regard to human freedom, Einstein professed to be a Spinozist. However, he suggested a version of soft determinism, not found in Spinoza. (shrink)

Neutral monism is a position in metaphysics defended by Mach, James, and Russell in the early twentieth century. It holds that minds and physical objects are essentially two different orderings of the same underlying neutral elements of nature. This paper sets out some of the central concepts, theses and the historical background of ideas that inform this doctrine of elements. The discussion begins with the classic neutral monism of Mach, James, and Russell in the first part of the paper, then (...) considers recent neo-Russellian versions in the second half. The chances for a revival of neutral monism are probably slight; its key ideas and starting points lie far from those in contemporary philosophy of mind. A better route might be through the philosophy of science and a deeper understanding of causation. (shrink)

Two eight-century Jaina contemporaries, a Śvetāmbara philosopher Siddhasena Mahāmati and a Digambara Akalaṅka Bhaṭṭa revolutionised Jaina epistemology, by radically transforming basic epistemological concepts, which had been based on canonical tradition. The paper presents a brief historical outline of the developments of basic epistemological concepts in Jaina philolosophy such as the cognitive criterion and logical faculties as well as their fourteen typological models which serve as the backdrop of important innovations in epistemology introduced by Siddhasena, Pātrasvāmin and Akalaṅka. An important contribution (...) of these Jaina thinkers was to economize Indian logic and the rules of inference, first, by devising only one kind of logical reason called ‘inexplicability otherwise’, based on the single inseparable connection of the proving property with the inferable property, and, second, by limiting the necessary number of the members of the proof formula merely to two. These two innovations were related to the thinkers’ intention to devise a logic which would not primarily be based on empirical verification but its structural patterns would be valid irrespective of external observation. Further, the paper focuses on the nature of the epistemological shifts which Siddhasena and Akalaṅka introduced independently of each other and on the question how Siddhasena’s and Akalaṅka’s ideas were partly anchored in Buddhist concepts of the pramāṇa school of Diṅnāga and Dharmakīrti. With the Buddhist background, Siddhasena sought to define the criteria essential to distinguish true from false cognitions and to provide a novel classification of the pramāṇas. He can further be accredited with formulating the first Jaina descriptive definition of the cognitive criterion. The final section of the paper explains how Akalaṅka applies novel epistemological ideas, first, to construct realistic ontology and objectivity of both the external world and the cognising subject, and, secondly, to combat fundamental Buddhist concepts such as idealism and momentariness. (shrink)

The article is concerned with the practicalist attempt to "solve" the problem of induction. The point of departure is the concept of counter-induction introduced by Max Black and his refutation of practicalism. If we are not to beg the question whether induction yields knowledge of the future, Max Black asserts, there is a symmetry between induction and counter-induction as methods. The main point of the article is to show that this assertion is false, at least when induction and counter-induction are (...) compared as regards their relations to hypothetico-deductive method. As regards these relations, there is a striking asymmetry. The author tries to establish the following conclusion: A theory can agree with all future data and yet be false because it does not agree with all past data. If we are not to be in a position where our theories are necessarily falsified either by past or future data, we must use induction rather than counter-induction. (shrink)

My purpose here is purely historical. It is not an attempt to resolve the question as to whether Russell did or did not countenance nonclassical logics, and if so, which nonclassical logics, and still less to demonstrate whether he himself contributed, in any manner, to the development of nonclassical logic. Rather, I want merely to explore and insofar as possible document, whether, and to what extent, if any, Russell interacted with the various, either the various candidates or their, ideas that (...) Dejnožka and others have proposed as potentially influential in Russell’s intellectual reactions to nonclassical logic or to the philosophical concepts that might contribute to his reactions to nonclassical logics. (shrink)

In his Problems of Philosophy, Bertrand Russell distinguished knowledge by acquaintance and knowledge of truths. This paper argues for a new interpretation of the relationship between these two species of knowledge. I argue that knowledge by acquaintance of an object neither suffices for knowledge that one is acquainted with the object, nor puts a subject in a position to know that she is acquainted with the object. These conclusions emerge from a thorough examination of the central role played by attention (...) in Russell's theory of knowledge. Attention bridges the gap between knowledge by acquaintance and our capacity to form judgements about the objects of acquaintance. (shrink)

The dream of a community of philosophers engaged in inquiry with shared standards of evidence and justification has long been with us. It has led some thinkers puzzled by our mathematical experience to look to mathematics for adjudication between competing views. I am skeptical of this approach and consider Skolem's philosophical uses of the Löwenheim-Skolem Theorem to exemplify it. I argue that these uses invariably beg the questions at issue. I say ?uses?, because I claim further that Skolem shifted his (...) position on the philosophical significance of the theorem as a result of a shift in his background beliefs. The nature of this shift and possible explanations for it are investigated. Ironically, Skolem's own case provides a historical example of the philosophical flexibility of his theorem. Our suspicion ought always to be aroused when a proof proves more than its means allow it. Something of this sort might be called ?a puffed-up proof?. Ludwig Wittgenstein, Remarks on the foundations of mathematics (revised edition), vol. 2, 21. (shrink)

We offer a reading of Anselm's Ontological Argument inspired by Wittgenstein which focuses on the fact that the “argument” occurs in a prayer addressed to God, making it a strange argument since as a prayer it seems to presuppose its conclusion. We reconstruct the argument as expressive. Within the religious perspective, the issues are to be focused on the right object not to present an argument for the existence of God. While this sort of reading lets us understand much about (...) the argument, it also opens new avenues of criticism, one of which is the problem of worship. (shrink)

Timelines is an inquiry into the nature of time, both as an apparent feature of the external physical world and as a fundamental feature of our experience of ourselves in the world. The principal argument of Timelines is that our coventional ideas about time are largely mistaken and that what we think of as independent physical time is actually our calibration of a certain relation between events. Namely, the relation between time-keeping events and the causal sequential differences of physical processes (...) which are real and independent of us. (shrink)

In Pragmatism, James promised his readers a theory of truth. However, many of his readers (even those sympathetic with other parts of James’s work) have concluded that James’s “theory” was little more than a tangle of mistakes. In this chapter, I offer an interpretation and defence of James’s theory of truth. I emphasize James’s truth pluralism.

This volume examines the limitations of mathematical logic and proposes a new approach to logic intended to overcome them. To this end, the book compares mathematical logic with earlier views of logic, both in the ancient and in the modern age, including those of Plato, Aristotle, Bacon, Descartes, Leibniz, and Kant. From the comparison it is apparent that a basic limitation of mathematical logic is that it narrows down the scope of logic confining it to the study of deduction, without (...) providing tools for discovering anything new. As a result, mathematical logic has had little impact on scientific practice. Therefore, this volume proposes a view of logic according to which logic is intended, first of all, to provide rules of discovery, that is, non-deductive rules for finding hypotheses to solve problems. This is essential if logic is to play any relevant role in mathematics, science and even philosophy. To comply with this view of logic, this volume formulates several rules of discovery, such as induction, analogy, generalization, specialization, metaphor, metonymy, definition, and diagrams. A logic based on such rules is basically a logic of discovery, and involves a new view of the relation of logic to evolution, language, reason, method and knowledge, particularly mathematical knowledge. It also involves a new view of the relation of philosophy to knowledge. This book puts forward such new views, trying to open again many doors that the founding fathers of mathematical logic had closed historically. (shrink)

Life is a constant search for meaning, and reflective minds need to find deeper and more comprehensive meaning than that normally proffered by the orthodox teaching of any creedal religion. When this book was initially published in 1964, religion had begun to recognize the importance of psychology and psychology had considered a spiritual principle in man. Miss Isherwood’s purpose in writing this book is to relate science and religion more closely. Her theme is that the evolution of consciousness from protozoa (...) provides a link which not only gives grounds for faith in life and an inspiration for carrying development forward, but which reveals that, as we continuously work at deepening our insight into the realms of spirit, the life process appears to us as steadily more meaningful. Her engaging writing style makes this a fascinating glimpse at a philosophy of religion starting to engage with science. (shrink)

O presente manual tem como intenção constituir um guia para uma disciplina introdutória de filosofia da linguagem. Foi elaborado a partir da leccionação da disciplina de Filosofia da Linguagem I na Faculdade de Letras da Universidade do Porto desde 2001. A disciplina de Filosofia da Linguagem I ocupa um semestre lectivo e proporciona aos estudantes o primeiro contacto sistemático com a área da filosofia da linguagem. Pretende-se que este manual ofereça aos estudantes os instrumentos necessários não apenas para acompanhar uma (...) iniciação ao campo da filosofia da linguagem mas também para o estudo e a investigação autónomos posteriores. Para isso é percorrido um trajecto que conduz das intuições pré-teóricas acerca de linguagem, de que todos dispomos, até um conhecimento disciplinar específico, histórico e temático, da filosofia da linguagem. Em termos práticos, são considerados como precedentes da disciplina de Filosofia da Linguagem I – mesmo se, pelo existem actualmente precedências em sentido estrito – as disciplinas de Lógica I e II e de Filosofia do Conhecimento I e II. Os programas dessas disciplinas nos últimos anos estiveram presentes por trás da elaboração do manual. (shrink)

This essay deals with the relationship between the mystical and meaning in Ludwig Wittgenstein’s early philosophical work, especially the Tractatus Logico-Philosophicus. The interpretation offered here is intended not primarily for professional scholars of Wittgenstein or historians of the early 20th century philosophy, but for those broadly interested in connections between mysticism and meaning and in what contributions Wittgenstein’s early work might make to the subject. My goal is to explain his conception of the relationship between the mystical and meaning to (...) the interdisciplinary reader not well versed in Wittgenstein’s early philosophy or the vast body of scholarship that has grown up around it, without entirely ignoring the insights into other areas of philosophy that have made the Tractatus highly respected even by those philosophers who most vigorously and completely disagree with his idiosyncratic views. (shrink)

In the dispute between presentism and eternalism, the affective dimensions of the debate have been somewhat neglected. Contemporary philosophers of time have not tried to relate these ontological positions with two of the most discussed maxims in the history of ethics – “live in the present” vs. “look at your life under the aspect of the eternity” (sub specie aeternitatis)– that since the Hellenistic times have been regarded as strictly connected with them. Consequently, I raise the question of whether the (...) endorsement of one of these two ontological views can make a practical difference in the way we should live. -/- . (shrink)

In his Tractatus and Notebooks 1914-1916, Wittgenstein develops some themes concerning the nature of the subject, transcendentalism, solipsism and mysticism. Though Wittgenstein rejects a naive, psychological understanding of the subject, he preserves the idea of the metaphysical subject, so-called “philosophical I”. The present investigations exhibit two ways of grasping the subject: (1) subject as a boundary (of the world); (2) subject (I) as the world. The author of the paper aims to analyze different methods of conceiving the subject, both logical (...) and transcendental. Then he discusses the naturalistic or reductionist consequences of solipsism which were derived by Wittgenstein. Moreover, he refers to the concept of ‘subject of will’ introduced in the Tractatus. Finally, the author puts a question whether the metaphysical subject is a boundary of the world identified with the subject of will. While trying to answer this question one can point to the essential difficulties of Wittgenstein’s standpoint. These difficulties become especially evident if we examine Wittgenstein’s statements concerning mysticism. The category of subject seems to gain a new dimension when reconsidered in this context. In the conclusion, the author offers an interpretation inspired by Schopenhauer’s conception of the double aspect of the subject that is to overstep these difficulties. (shrink)

This thesis presents a social ontology. It takes its problem, the emergence of social structure and order, and the relationship of the macro and the micro within this structure, from social theory, but attempts a resolution from the perspectives of contemporary French philosophy and complexity theory. Due to its acceptance of certain presuppositions concerning the multiplicity and connectedness of all life and nature it adopts a comparative methodology that attempts a translation of complexity science to the social world. It draws (...) both this methodology and its inspiration from the work of Michel Serres. After explaining this methodology, it presents a critique of the work of those prominent philosophers of multiplicity who have written on the social: Alain Badiou, Gilles Deleuze and Felix Guattari, and Manual DeLanda. Having argued for the need of a ‘non-unit’ of social organisation, it then unsuccessfully surveys the work of Michel Foucault and Gabriel Tarde in search of such a ‘non-unit’. It produces one by extracting elements from different theorists and then proceeds to offer a novel explanation of how these expectations first emerge from the ‘social noise’ and then go through a complex process of self-organisation to produce social structure. Apart from complexity theory, this explanation draws on the temporal ontologies of both Serres and Deleuze. In doing so, it argues that the social replication necessary for this self-organisation cannot be achieved through direct imitation. Instead, it draws on an idea from Stuart Kauffman and argues that this is achieved through autocatalysis. Finally, it argues that social structures and what is perceived to be social order are the effect of the codification, to varying degrees, of these emergent expectations. It concludes that this structure is at its most creative when on ‘the edge of chaos’, when at a point of social chaosmos. (shrink)

A lengthy reply to 13 critical discussions of _Meaning in Life: An Analytic Study_ collected in an e-book and reprinted from the _Journal of Philosophy of Life_. The contributors are from a variety of philosophical traditions, including the Anglo-American, Continental and East Asian (especially Buddhist and Japanese) ones.

In Minkowski spacetime, because of the relativity of simultaneity to the inertial frame chosen, there is no unique world-at-an-instant. Thus the classical view that there is a unique set of events existing now in a three dimensional space cannot be sustained. The two solutions most often advanced are that the four-dimensional structure of events and processes is alone real, and that becoming present is not an objective part of reality; and that present existence is not an absolute notion, but is (...) relative to inertial frame; the world-at-an-instant is a three dimensional, but relative, reality. According to a third view, advanced by Robb, Capek and Stein, what is present at a given spacetime point is, strictly speaking, constituted by that point alone. I argue here against the first of these views that the four-dimensional universe cannot be said to exist now, already, or indeed at any time at all; so that talk of its existence or reality as if that precludes the existence or reality of the present is a non sequitur. The second view assumes that in relativistic physics time lapse is measured by the time co-ordinate function; against this I maintain that it is in fact measured by the proper time, as I argue by reference to the Twin Paradox. The third view, although formally correct, is tarnished by its unrealistic assumption of point-events. This makes it susceptible to paradox, and also sets it at variance with our normal intuitions of the present. I argue that a defensible concept of the present is nonetheless obtainable when account is taken of the non-instantaneity of events, including that of conscious awareness, as that region of spacetime comprised between the forward lightcone of the beginning of a small interval of proper time t and the backward lightcone of the end of that interval. This gives a serviceable notion of what is present to a given event of short duration, as well as saving our intuition of the “reality” or robustness of present events. (shrink)

There are historically three main trends in understanding Wittgenstein's Tractatus. The first is the interpretation offered by the Vienna Circle. They read Wittgenstein as arguing that neither metaphysical nor normative propositions have any cognitive meaning, and thus are to be considered nonsense. This interpretation understands Wittgenstein as setting the limits of sense, and prescribing that nothing of substantive philosophical importance lies beyond that line. The second way of reading the Tractatus, which has became popular since the 1950s, is the interpretation (...) which most currently accept as the early Wittgenstein's view; for this reason I refer to it as the 'standard reading.' According to this interpretation, Wittgenstein did not consider metaphysical and ethical discourse as nonsense. Rather, relying upon the distinction between saying [sagen] and showing [zeigen], he meant that these truths cannot be uttered, but instead are only shown. The standard reading can perhaps be best understood in contrast with the third interpretation, dubbed the "resolute reading." The resolute reading takes seriously Wittgenstein's remark at 6.54 that "[m]y propositions are elucidatory in this way: he who understands me finally recognizes them as nonsense [unsinnig]." According to the resolute interpretation, Wittgenstein is not advancing a series of philosophical theses in the Tractatus. Rejecting the distinction characteristic of standard readings, between propositions without sense [sinnlos] and just plain nonsense [unsinnig], these interpreters read Wittgenstein as treating ethical and metaphysical inquiry, as well as a bulk of the doctrines in the text, as nonsense. To them, Wittgenstein did not intend to put forth any theses in the the text. Instead his methodology is therapeutic, similar to the later philosophy. It In this essay I explain each interpretation, and evaluate them in terms of textual and philosophical viability. I conclude by arguing that the biases which exist in the tradition of analytic philosophy substantively temper the interpretation of historical texts, which ultimately leads to the fundamental distinction between these three interpretations. (shrink)