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Margaret MacDonald (1907–56) was a central figure in the history of early analytic philosophy in Britain due to both her editorial work as well as her own writings. While her later work on aesthetics and political philosophy has recently received attention, her early writings in the 1930s present a coherent and, for its time, strikingly original blend of common-sense and scientific philosophy. In these papers, MacDonald tackles the central problems of philosophy of her day: verification, the problem of induction, and (...) |
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Using new archival material, this article reconstructs the editorial history of Philosophical Grammar, an edition that Rush Rhees crafted from Wittgenstein's papers. Contrasting the often‐held view that Rhees, in editing Philosophical Grammar, arbitrarily interfered with Wittgenstein's Big Typescript, the article illuminates the work, motives and reasons that underlie Rhees’ editing. Although recent philological evidence supports his editorial decisions, Rhees, at the time, made them based on his desire to do justice to his understanding of Wittgenstein's philosophical orientation. Against this background, (...) |
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O objetivo geral da pesquisa da qual esse artigo faz parte é investigar o sistema metafísico que emerge dos trabalhos de David Lewis. Esse sistema pode ser decomposto em pelo menos duas teorias. A primeira nomeada como realismo modal genuíno (RMG) e a segunda como mosaico neo-humeano. O RMG é, sem dúvida, mais popular e defende a hipótese metafísica da existência de uma pluralidade de mundos possíveis. A principal razão em favor dessa hipótese é a sua aplicabilidade na discussão de (...) |
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I provide an interpretation of Wittgenstein's much criticized remarks on Gödel's First Incompleteness Theorem in the light of paraconsistent arithmetics: in taking Gödel's proof as a paradoxical derivation, Wittgenstein was right, given his deliberate rejection of the standard distinction between theory and metatheory. The reasoning behind the proof of the truth of the Gödel sentence is then performed within the formal system itself, which turns out to be inconsistent. I show that the models of paraconsistent arithmetics (obtained via the Meyer-Mortensen (...) |
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Quoique l'on ne trouve qu'un nombre limité de références à Nicod dans les manuscrits de la période dite « intermédiaire » de Wittgenstein, une lecture attentive de La Géométrie dans le monde sensible s'avère pourtant décisive pour comprendre la nature du projet phénoménologique de Wittgenstein de la fin des années vingt. Nous nous proposons de montrer que la prise en compte ainsi que la reformulation du problème posé par Nicod en 1924, celui de la nature de la relation d'inclusion spatiale, (...) |
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The author of the article focuses on the matter of Wittgenstein's philosophy reception in France. The reception of Wittgenstein's philosophy was quite late and led to different, sometimes opposite interpretations of his thought, even among French analytical philosophers. Applying a sociological approach to the problem of reception, the author identifies factors that hindered the penetration of the ideas of analytical philosophy in France, including the powerful institutionalization of philosophy in France with its inherent traditionalism and conservatism, fully expressed national character (...) |
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A significant impediment to the study of perceptual consciousness is our dependence on simplistic ideas about what experience is like. This is a point that has been made by Wittgenstein, and by philosophers working in the Phenomenological Tradition, such as Husserl and Merleau-Ponty. Importantly, it is an observation that has been brought to the fore in recent discussions of consciousness among philosophers and cognitive scientists who have come to feel the need for a more rigorous phenomenology of experience. The central (...) |
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This article analyses in detail Wittgenstein’s ‘Cambridge period’ from his return to Cambridge in 1929 until his decease in 1951. Within the ‘Cambridge period’, scholars usually distinguish the ‘middle’ (1929–1936) and the ‘late’ (1936–1951) periods. The trigger point of Wittgenstein’s return to Cambridge and philosophy was his visit to Brouwer’s lecture on ‘Mathematics, Science, and Language’ in Vienna in March 1928. Dutch mathematician Brouwer influenced not only Wittgenstein’s ability to do philosophy again but also the development of some of his (...) |
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RÉSUMÉ : Les attitudes de se sont généralement considérées comme constituant une classe particulière d’attitudes de re. Cet article propose une analyse différente, qui s’appuie sur la notion d’attitude de objecto et qui évite un engagement ontologique envers le sujet. La proposition élabore l’idée de Hintikka d’une logique épistémique dite de seconde génération, qui introduit un marqueur syntaxique permettant d’exprimer des relations d’indépendance entre certaines constantes logiques. De cette sémantique résulte une conception du Moi, dénotation de «je», comme un objet (...) |
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Kant held that under the concept of √2 falls a geometrical magnitude, but not a number. In particular, he explicitly distinguished this root from potentially infinite converging sequences of rationals. Like Kant, Brouwer based his foundations of mathematics on the a priori intuition of time, but unlike Kant, Brouwer did identify this root with a potentially infinite sequence. In this paper I discuss the systematical reasons why in Kant's philosophy this identification is impossible. |
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Emphasis in historiography of science is naturally placed on the discoveries and inventions which scientists make and generally less on new methods of doing science, but sometimes the latter can he an important clue to help us understand the former. For example, while we all acknowledge how great the contributions of Maxwell, Boltzmann, Planck, and Einstein were to physics from roughly 1870 to 1920, we often overlook the significance of a methodological phrase which was popular during that same period, namely, (...) |
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Here, the logical behaviour of negation in Wittgenstein's Tractatus is compared with Demos' account of denial. Even if we hold negation as a pure syntactical device, at least in some context, it brings a handful of complex semantic information – potentially an infinite amount. We advocate then the existence of at least two negations due to the existence of two different and non-reducible types of exclusion. The first negation is a Tractarian and classical one, based on the notion of contradiction, (...) |
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Frege explained the notion of generality by stating that each its instance is a fact, and added only later the crucial observation that a generality can be inferred from an arbitrary instance. The reception of Frege’s quantifiers was a fifty-year struggle over a conceptual priority: truth or provability. With the former as the basic notion, generality had to be faced as an infinite collection of facts, whereas with the latter, generality was based on a uniformity with a finitary sense: the (...) |
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Doing Worlds with Words throws light on the problem of meaning as the meeting point of linguistics, logic and philosophy, and critically assesses the possibilities and limitations of elucidating the nature of meaning by means of formal logic, model theory and model-theoretical semantics. The main thrust of the book is to show that it is misguided to understand model theory metaphysically and so to try to base formal semantics on something like formal metaphysics; rather, the book states that model theory (...) |
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According to the received view, the Tractatus would present a realistic conception of the meaning of a declarative sentence: that meaning would be explained in terms of evidence-transcending, not epistemically-constrained, truth-conditions. In this paper, I make a case against such a contention. If states of affairs are identified with possible combinations of phenomenal objects, the truth-conditions of an elementary proposition inevitably collapse onto its assertability-conditions: the existence of the state of affairs depicted by the proposition would be both the condition (...) |
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The article deals with Cantor's argument for the non-denumerability of reals somewhat in the spirit of Lakatos' logic of mathematical discovery. At the outset Cantor's proof is compared with some other famous proofs such as Dedekind's recursion theorem, showing that rather than usual proofs they are resolutions to do things differently. Based on this I argue that there are "ontologically" safer ways of developing the diagonal argument into a full-fledged theory of continuum, concluding eventually that famous semantic paradoxes based on (...) |
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Proceeding from a philosophical interpretation of negative theology as performatively undermining our seeming understanding of the absolute and thereby evoking a transformative experience, this paper emphasises the philosophical significance of negative theology by linking it to Karl Jaspers’ notion of the universal limit situation of existence. Against this background, an analysis of mystical and psychotic experiences shows how certain similarities between the two can be understood as constituting a particular mental state in which the universal limit situation is experienced personally. (...) |
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Ce texte discute certaines conclusions d’un article récent de F. Mülhölzer et vise à montrer que le logicisme russellien a les moyens de résister à la critique que Wittgenstein lui adresse dans la partie III des Remarques sur les fondements desmathématiques.This paper discusses some conclusions of a recent article from F.Mülhölzer. It aims at showing that Russell’s logicism has the means to overcome the criticisms Wittgenstein expounded in Remarks on the Foundations of Mathematics, part III. |
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Formal series are associated with ascriptions of numbers. They are ordered by formal operations that, unlike negation and disjunction, are not truth-operations. In spite of this, they are required to build propositions involving generic reference to numbers, and are essential to the Tractarian version of the logicist project. |
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In this paper, I discuss whether the view that understanding is the ability to relate the use of an expression to a certain purpose leads to a theory of meaning as use. In particular, I investigate the view that a theory of meaning relies on the assumption that use is related to immanent purposes of language. I inquire whether it is possible to identify those purposes that seem essential for the use of language. Interpreting Wittgenstein, I argue that this idea (...) |
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In this paper I explore a neglected discussion of vagueness put forward by Wittgenstein in his Philosophical Grammar (1932–34). In this work, unlike Philosophical Investigations (1953), Wittgenstein not only discusses the venerable Sorites paradox but provides a novel conception of vagueness using an analogy with coin tossing and converging intervals. As he sees it, the problematic picture of vagueness arises because we conflate aspects of the functioning of vague concepts with those of non-vague ones. Thus, while we accept that vague (...) |
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The paper discusses the unique approach to the problem of evil employed by the Wittgensteinian philosophy of religion and ethics that is primarily represented by D. Z. Phillips. Unlike traditional solutions to the problem, Phillips’ solution consists in questioning its meaningfulness—he attacks the very ideas of God’s omnipotence, of His perfect goodness and of the need to ‘calculate’ God’s goodness against the evil within the world. A possible weakness of Phillips’ approach is his unreflected use of what he calls ‘our (...) |
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This dissertation investigates the origin, intellectual development and use of a semantic variant of the idea of logical space found implicitly in Kant and explicitly in early Wittgenstein and van Fraassen. It elucidates the idea of logical space as the idea of images or pictures representative of reality organized into a logico-mathematical structure circumscribing a form of all possible worlds. Its main claim is that application of these images or pictures to reality is through a certain conception of self. The (...) |
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In 1929 Wittgenstein began to work on the first philosophical manuscripts he had kept since completing the Tractatus Logico-Philosophicus in 1918. The impetus for this was his conviction that the logic of the TLP was flawed: it was unable to account for the fact that a proposition that assigns a single value on a continuum to a simple object thereby excludes all assignments of different values to the object . Consequently Wittgenstein's "atomic propositions" could not be logically independent of one (...) |
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This book brings together philosophers, mathematicians and logicians to penetrate important problems in the philosophy and foundations of mathematics. In philosophy, one has been concerned with the opposition between constructivism and classical mathematics and the different ontological and epistemological views that are reflected in this opposition. The dominant foundational framework for current mathematics is classical logic and set theory with the axiom of choice. This framework is, however, laden with philosophical difficulties. One important alternative foundational programme that is actively pursued (...) |
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A significant impediment to the study of perceptual consciousness is our dependence on simplistic ideas about what experience is like. This is a point that has been made by Wittgenstein, and by philosophers working in the Phenomenological Tradition, such as Husserl and Merleau-Ponty. Importantly, it is an observation that has been brought to the fore in recent discussions of consciousness among philosophers and cognitive scientists who have come to feel the need for a more rigorous phenomenology of experience. The central (...) |
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By a seemingly strange twist of fate, the formalist approach to language became popular after Hilbert’s project of providing a formalist foundation for mathematics foundered on G¨odel’s famous incompleteness theorems. Even in September 1930, during the congress in K¨onigsberg, where G¨odel presented his results for the first time, Carnap still defended logicism against the intuitionist and formalist views on the foundations of mathematics. Furthermore in linguistics, the formalist approach to syntactic issues had only become disseminated in the 1930s, due to (...) |
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In this paper I will discuss some interesting philosophical questions bound to color science, in its variant founded by Berlin and Kay’s linguistic and anthropological research. I will first refer to various criticisms, expressed by dissenting scientists. Further criticisms implied by a rather philosophical perspective will follow; a particular attention is paid to the question of synchronicity vs . diachronicity. The controversy about Berlin and Kay’s conception is paralleled by the development of Wittgenstein’s views on color that I will sketch (...) |
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