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Frege distinguished the thought qua logical content from the assertoric force attached to it when judged to be true. The gist of this distinction is captured by the so-called Frege-Geach point. Recently, several authors have drawn inspiration from Wittgenstein to reject this point and the distinction it is based on. This article proceeds from the observation that Wittgenstein himself did not reject the force-content distinction but urged us to reformulate it in a non-dualistic way. While drawing on Wittgensteinian lessons about (...) |
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The notion of Self plays a significant role in the philosophical speculations of Buddha and Wittgenstein. For the Buddha, ‘Self’ has empirical validity without ultimate reality. However, the Real Self is transcendent. It is the Absolute which is immanent as well as transcendent. It cannot therefore be bound to thought-constructions. The Absolute is Nirvāṇa; it is peaceful, immortal and unproduced which is unspeakable and can only be realised through immediate spiritual experience. To deal with Nirvāṇa rigourously, Buddha upholds a negative (...) |
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G. F. Stout is famous as an early twentieth century proselyte for abstract particulars, or tropes as they are now often called. He advanced his version of trope theory to avoid the excesses of nominalism on the one hand and realism on the other. But his arguments for tropes have been widely misconceived as metaphysical, e.g. by Armstrong. In this paper, I argue that Stout’s fundamental arguments for tropes were ideological and epistemological rather than metaphysical. He moulded his scheme to (...) |
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Name der Zeitschrift: Nordic Wittgenstein Review Jahrgang: 2 Heft: 1 Seiten: 33-56. |
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Wittgenstein's Tractatus carefully distinguished the concept all from\nthe notion of a truth-function, and thereby from the quantifiers.\nI argue that Wittgenstein's rationale for this distinction is lost\nunless propositional functions are understood within the context\nof his picture theory of the proposition. Using a model Tractatus\nlanguage, I show how there are two distinct forms of generality implicit\nin quantified Tractatus propositions. Although the explanation given\nin the Tractatus for this distinction is ultimately flawed, the distinction\nitself is a genuine one, and the forms of generality that (...) |
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The paper presents a formal explication of the early Wittgenstein's views on ontology, the syntax and semantics of an ideal logical language, and the propositional attitudes. It will be shown that Wittgenstein gave a language of thought analysis of propositional attitude ascriptions, and that his ontological views imply that such ascriptions are truth-functions of (and supervenient upon) elementary sentences. Finally, an axiomatization of a quantified doxastic modal logic corresponding to Tractarian semantics will be given. |
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The young Wittgenstein called his conception of logic “New Logic” and opposed it to the “Old Logic”, i.e. Frege’s and Russell’s systems of logic. In this paper the basic objects of Wittgenstein’s conception of a New Logic are outlined in contrast to classical logic. The detailed elaboration of Wittgenstein’s conception depends on the realization of his ab-notation for first order logic. |
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This paper systematically outlines Wittgenstein's ab-notation. The purpose of this notation is to provide a proof procedure in which ordinary logical formulas are converted into ideal symbols that identify the logical properties of the initial formulas. The general ideas underlying this procedure are in opposition to a traditional conception of axiomatic proof and are related to Peirce's iconic logic. Based on Wittgenstein's scanty remarks concerning his ab-notation, which almost all apply to propositional logic, this paper explains how to extend his (...) |
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In this article, I distinguish Wittgenstein's conception of the dissolution of philosophical problems from that of Carnap. I argue that the conception of dissolution assumed by the therapeutic interpretations of the Tractatus is more similar to Carnap's than to Wittgenstein's for whom dissolution involves spelling out an alternative in the context of which relevant problems do not arise. To clarify this I outline a non‐therapeutic resolute reading of the Tractatus that explains how Wittgenstein thought to be able to make a (...) |
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It has been suggested that certain problems may be unsolvable because of the mind's cognitive structure, but we may wonder what problems, and exactly why. The ultimate origin of the universe and the mind-body problem seem to be two such problems. As to why, Colin McGinn has argued that the mind-body problem is unsolvable because any theoretical concepts about the brain will be observation-based and unable to connect to unobservable subjective experience. McGinn's argument suggests a requirement of imagability -- an (...) |
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I examined the proposition that there are psychological limits on what scientific problems can be solved, and that these limits may be based on a failure to be able to produce imagable, observation-based models for any possible solution, a position suggested by philosopher Colin McGinn in an argument attempting to prove that the mind-body problem is unsolvable. I examined another likely candidate for an unsolvable problem -- the ultimate origin of the universe (i.e., what might have preceded the Big Bang (...) |
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One of the unconventional features of Wittgenstein’s _Tractatus Logico-Philosophicus_ is its use of an elaborated and detailed numbering system. Recently, Bazzocchi, Hacker und Kuusela have argued that the numbering system means that the _Tractatus_ must be read and interpreted not as a sequentially ordered book, but as a text with a two-dimensional, tree-like structure. Apart from being able to explain how the _Tractatus_ was composed, the tree reading allegedly solves exegetical issues both on the local and the global level. This (...) |
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It is widely believed that some a priori necessary truths are not analytic in the sense of transformable by substitution of synonyms into logical truths. One much-cited example comes from the supposed incompatibility between colour predicates. The idea is that sentences like “Nothing is both blue all over (or uniformly or at a point) and also red” are not transformable into a logical truth in the same way as “Nothing is both a bachelor and married” because the requisite conceptual link (...) |
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It is argued that the finitist interpretation of wittgenstein fails to take seriously his claim that philosophy is a descriptive activity. Wittgenstein's concentration on relatively simple mathematical examples is not to be explained in terms of finitism, But rather in terms of the fact that with them the central philosophical task of a clear 'ubersicht' of its subject matter is more tractable than with more complex mathematics. Other aspects of wittgenstein's philosophy of mathematics are touched on: his view that mathematical (...) |
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External obstacles to properly understanding Wittgenstein’s philosophy of mathematics are not lacking, either. For one thing, there is the piecemeal way that his mathematical manuscripts have been made available. The editors of Remarks on the Foundations of Mathematics write that “the time has not yet come to print the whole of Wittgenstein’s MSS on these... topics”. One wonders what sorts of reasons there could be for that editorial choice. |
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Mi objetivo es discutir las principales dificultades que Frank P. Ramsey encontró en Principia Mathematica y la solución que, vía el Tractatus Logico-Philosophicus, propuso al respecto. Sostengo que las principales dificultades que Ramsey encontró en Principia Mathematica están, todas, relacionadas con que Russell y Whitehead desatendieron la forma lógica de las proposiciones matemáticas, las cuales, según Ramsey, deben ser tautológicas. |
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This paper is concerned with the status of a symbol in Wittgenstein’s Tractatus. It is claimed in the first section that a Tractarian symbol, whilst essentially a syntactic entity to be distinguished from the mark or sound that is its sign, bears its semantic significance only inessentially. In the second and third sections I pursue this point of exegesis through the Tractarian discussions of nonsense and the context principle respectively. The final section of the paper places the forgoing work in (...) |
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The present text discusses whether there is a tension between aphorisms 6.1-6.13 of the Tractatus and the Church-Turing theorem about the decidability of predicate logic. We attempt to establish the following points: (i) Aphorisms 6.1-6.13 are not consistent with the Church-Turing theorem. (ii) The logical symbolism of the Tractatus, built from the N-operator, can (and should) be interpreted as expressively complete with respect to first-order formulas. (iii) Wittgenstein’s reasons for believing that Logic is decidable were purely philosophical and the undecidability (...) |
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By means of a reductio argument, Wittgenstein’s Tractatus calls into question the very idea that we can represent logical form. My paper addresses three interrelated questions: first, what conception of logical form is at issue in this argument? Second, whose conception of logic is this argument intended to undermine? And third, what could count as an adequate response to it? I show that the argument construes logical form as the universal, underlying correlation of any representation and the reality it represents. (...) |
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Popper claims that error indicates what to avoid and there is no recipe for how to proceed. Most rationalist philosophers ignore his arguments and still try to justify their views instead of trying to improve upon them by criticizing them and conjecturing alternatives. In public discourse barren forms of justification are widespread. More and better critical institutions are required, and these require political compromise on shared aims. |
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The book explains why and how Wittgenstein adapted the Tractatus in phenomenological and grammatical terms to meet challenges of his 'middle period.' It also shows why and how he invents a new method and develops an anthropological perspective, which gradually frame his philosophy and give birth to the Philosophical Investigations. |
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The power of Wittgenstein's N operator described in the Tractatus is that every proposition which can be expressed in the Russellian variant of the predicate calculus familiar to him has an equivalent proposition in an extended variant of his N operator notation. This remains true if the bound variables are understood in the usual inclusive sense or in Wittgenstein's restrictive exclusive sense. The problematic limit of Wittgenstein's N operator comes from his claim that symbols alone reveal the logical status of (...) |
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The aim of my paper is to describe and evaluate different conceptions of holism in Ludwig Wittgenstein’s Tractatus Logico-Philosophicus. I distinguish three readings of holistic elements in this work: i) Minimal Holism (E. Anscombe, M. Black, D. Pears); ii) Moderate Holism (J. Conant, C. Diamond, G. Ryle); and iii) Radical Holism (G. Bar-Elli, M. Kremer, P. Livingston). The conclusion is that the most viable option is Moderate Holism since it embraces the logico-syntactical notion of use, rejects an anachronistic interpretation of (...) |
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Frege's conception of the logical categories has vexed commentators for decades. In this dissertation, I argue that it revolves around two forms of internality. The first is the internality of its use in the expression of judgment to the sign. A proper understanding of that internality reveals how Frege's philosophical logic cannot be fit into the framework given by the contemporary syntax/semantics distinction. The second is the internality that obtains between the way in which Begriffsschrift signs stratify into different categories, (...) |
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ABSTRACT In her paper “On the Nature of Judgment”, published in 1919 in Mind, Dorothy Wrinch aimed at understanding how Russell’s multiple relation theory of judgement might be made to work. In this paper we will focus on Wrinch’s claim that on the theory it is impossible, as it should be, to judge nonsense. After having presented the prima facie objection to the theory created by nonsense and what we can take her solution to such a problem to imply, we (...) |
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In his highly perceptive, if underappreciated introduction to Wittgenstein’s Tractatus, Russell identifies a “lacuna” within Wittgenstein’s theory of number, relating specifically to the topic of transfinite number. The goal of this paper is two-fold. The first is to show that Russell’s concerns cannot be dismissed on the grounds that they are external to the Tractarian project, deriving, perhaps, from logicist ambitions harbored by Russell but not shared by Wittgenstein. The extensibility of Wittgenstein’s theory of number to the case of transfinite (...) |
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The notion of the riddle plays a pivotal role in Wittgenstein’s Tractatus . By examining the comparisons he draws between philosophical problems and riddles, this paper offers a reassessment of the aims and methods of the book. Solving an ordinary riddle does not consist in learning a new fact; what it requires is that we transform the way we use words. Similarly, Wittgenstein proposes to transform the way philosophers understand the nature of their problems. But since he holds that these (...) |
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Tractatus 4.024 inspired the dominant semantics of our time: truth-conditional semantics. Such semantics is focused on possible worlds: the content of p is the set of worlds where p is true. It has become increasingly clear that such an account is, at best, defective: we need an ‘independent factor in meaning, constrained but not determined by truth-conditions’ (Yablo 2014, p. 2), because sentences can be differently true at the same possible worlds. I suggest a missing comment which, had it been (...) |
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It is generally considered the case that an authorial preface is an author’s opportunity to give the reader a hand in interpreting the work he or she is about to read. It is strange then that the Preface to Wittgenstein’s Tractatus (1922) has often been overlooked. Max Black’s (1964) influential A Companion toWittgenstein’sTractatus, for example, passes over the Preface in silence. And even in the latest published edition of the so-called Prototractatus (1996), the Preface is the only part that appears (...) |
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Drawing mainly from the Tractatus Logico-Philosophicus and his middle period writings, strategic issues and problems arising from Wittgenstein’s philosophy of mathematics are discussed. Topics have been so chosen as to assist mediation between the perspective of philosophers and that of mathematicians on their developing discipline. There is consideration of rules within arithmetic and geometry and Wittgenstein’s distinctive approach to number systems whether elementary or transfinite. Examples are presented to illuminate the relation between the meaning of an arithmetical generalisation or theorem (...) |
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The physiologist and neo-Kantian philosopher Johannes von Kries (1853-1928) wrote one of the most philosophically important works on the foundation of probability after P.S. Laplace and before the First World War, his Principien der Wohrscheinlich-keitsrechnung (1886, repr. 1927). In this book, von Kries developed a highly original interpretation of probability, which maintains it to be both logical and objectively physical. After presenting his approach I shall pursue the influence it had on Ludwig Wittgenstein and Friedrich Waismann. It seems that von (...) |
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Philosophical Investigations, Volume 45, Issue 2, Page 130-145, April 2022. |
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In 1913 Wittgenstein raised an objection to Russell’s multiple relation theory of judgment that eventually led Russell to abandon his theory. As he put it in the Tractatus, the objection was that “the correct explanation of the form of the proposition, ‘A makes the judgement p’, must show that it is impossible for a judgement to be a piece of nonsense. (Russell’s theory does not satisfy this requirement,” (5.5422). This objection has been widely interpreted to concern type restrictions on the (...) |
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Although the terms ‘poles’, ‘bipolar’, and ‘bipolarity’ do not appear in the Tractatus, it is widely held that Wittgenstein maintained his commitment to bipolarity in the Tractatus. As it is usually understood, the principle of bipolarity is that every proposition must be capable of being true and capable of being false, which rules out propositions that are necessarily true or necessarily false. Here I argue that Wittgenstein was committed to bipolarity in the Tractatus, but getting a clear view of this (...) |
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Assertion plays a crucial dual role in Frege's conception of logic, a formal and a transcendental one. A recurrent complaint is that Frege's inclusion of the judgement-stroke in the Begriffsschrift is either in tension with his anti-psychologism or wholly superfluous. Assertion, the objection goes, is at best of merely psychological significance. In this paper, I defend Frege against the objection by giving reasons for recognising the central logical significance of assertion in both its formal and its transcendental role. |
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The paper describes the evolution of russell's theory of judgment between 1910 and 1913, With especial reference to his recently published "theory of knowledge" (1913). Russell abandoned the book and with it the theory of judgment as a result of wittgenstein's criticisms. These criticisms are examined in detail and found to constitute a refutation of russell's theory. Underlying differences between wittgenstein's and russell's views on logic are broached more sketchily. |
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This dissertation argues that we have no good reason to accept any one theory of properties as correct. To show this, I present three possible bases for theory-choice in the properties debate: coherence, explanatory adequacy, and explanatory value. Then I argue that none of these bases resolve the underdetermination of our choice between theories of properties. First, I argue considerations about coherence cannot resolve the underdetermination, because no traditional theory of properties is obviously incoherent. Second, I argue considerations of explanatory (...) |
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Drawing on recent work on the nature of the numbering system of the _Tractatus_ and Wittgenstein’s use of that system in his composition of the _Prototractatus_, the paper sets out the rationale for the online tool called__ __ The University of Iowa Tractatus Map. The map consists of a website with a front page that links to two separate subway-style maps of the hypertextual numbering system Wittgenstein used in his _Tractatus_. One map displays the structure of the published _Tractatus_; the (...) |
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ABSTRACTIn 1931 Wittgenstein wrote: ‘the limit of language manifests itself in the impossibility of describing the fact that corresponds to a sentence without simply repeating the sentence’. Here, Wittgenstein claims, ‘we are involved … with the Kantian solution of the problem of philosophy’. This paper shows how this remark fits with Wittgenstein's early account of the substance of the world, his account of logic, and ultimately his view of philosophy. By contrast to the currently influential resolute reading of the Tractatus, (...) |
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'Reason, Causation and Compatibility with the Phenomena' strives to give answers to the philosophical problem of the interplay between realism, explanation and experience. This book is a compilation of essays that recollect significant conceptions of rival terms such as determinism and freedom, reason and appearance, power and knowledge. This title discusses the progress made in epistemology and natural philosophy, especially the steps that led from the ancient theory of atomism to the modern quantum theory, and from mathematization to analytic philosophy. (...) |
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Building on the unpublished correspondence between Ludwig Wittgenstein's literary executors Rush Rhees, Elizabeth Anscombe and Georg Henrik von Wright, this paper sketches the historical development of different editorial approaches to Wittgenstein's Nachlass. Using the metaphor of a ladder, it is possible to distinguish seven significant “rungs” or “steps” in the history of editing Wittgenstein's writings. The paper focuses particularly on the first four rungs, elucidating how Rhees, Anscombe and von Wright developed different editorial approaches that resulted in significant differences in (...) |
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I aim to present a solution to the apparent paradox of the Tractatus by means of a minimalist reading grounded in the idea that the correct logical symbolism alone “finally solves” in essentials the philosophical problems. I argue that although the sentences of the Tractatus are nonsensical, rules presented in its symbolism are not. The symbolism itself expresses only a priori rules of logic through schematic variables that do not say anything. I argue that this reading correctly expresses the ladder (...) |
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Wittgenstein did not write very much on the topic of probability. The little we have comes from a few short pages of the Tractatus, some 'remarks' from the 1930s, and the informal conversations which went on during that decade with the Vienna Circle. Nevertheless, Wittgenstein's views were highly influential in the later development of the logical theory of probability. This paper will attempt to clarify and defend Wittgenstein's conception of probability against some oft-cited criticisms that stem from a misunderstanding of (...) |
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