Wittgenstein on the Foundations of Mathematics
Author | : Crispin Wright |
Publisher | : Bloomsbury Academic |
Total Pages | : 518 |
Release | : 1980 |
Genre | : Mathematics |
ISBN | : |
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Author | : Crispin Wright |
Publisher | : Bloomsbury Academic |
Total Pages | : 518 |
Release | : 1980 |
Genre | : Mathematics |
ISBN | : |
Author | : Ernst Konrad Specht |
Publisher | : Manchester University Press |
Total Pages | : 226 |
Release | : 1969 |
Genre | : |
ISBN | : |
Author | : Ludwig Wittgenstein |
Publisher | : |
Total Pages | : 204 |
Release | : 1972 |
Genre | : Mathematics |
ISBN | : 9780262730174 |
Author | : A. C. Grayling |
Publisher | : OUP Oxford |
Total Pages | : 177 |
Release | : 2001-02-22 |
Genre | : Philosophy |
ISBN | : 0191540382 |
Ludwig Wittgenstein (1889-1951) was an extraordinarily original philospher, whose influence on twentieth-century thinking goes well beyond philosophy itself. In this book, which aims to make Wittgenstein's thought accessible to the general non-specialist reader, A. C. Grayling explains the nature and impact of Wittgenstein's views. He describes both his early and later philosophy, the differences and connections between them, and gives a fresh assessment of Wittgenstein's continuing influence on contemporary thought. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
Author | : Christian Erbacher |
Publisher | : Cambridge University Press |
Total Pages | : 149 |
Release | : 2020-12-10 |
Genre | : Philosophy |
ISBN | : 1108865046 |
Ludwig Wittgenstein is one of the most widely read philosophers of the twentieth century. But the books in which his philosophy was published – with the exception of his early work Tractatus Logico-Philosophicus – were posthumously edited from the writings he left to posterity. How did his 20,000 pages of philosophical writing become published volumes? Using extensive archival material, this Element reconstructs and examines the way in which Wittgenstein's writings were edited over more than fifty years, and shows how the published volumes tell a thrilling story of philosophical inheritance. The discussion ranges over the conflicts between the editors, their deviations from Wittgenstein's manuscripts, other scholarly issues which arose, and also the shared philosophical tradition of the editors, which animated their desire to be faithful to Wittgenstein and to make his writings both available and accessible. The Element can thus be read as a companion to all of Wittgenstein's published works of philosophy.
Author | : Penelope Maddy |
Publisher | : Oxford University Press, USA |
Total Pages | : 147 |
Release | : 2014 |
Genre | : Philosophy |
ISBN | : 0199391750 |
"Maddy's short monograph looks at Wittgenstein's philosophy of logic, from the perspective of the form of naturalism that she calls "second philosophy." That view takes an empirical approach to logical truth -- essentially arguing that if philosophers want to understand the world, they should start from a position informed by scientific understandings of the world, because science is often a reliable guide to how the world works. Similarly, just like science, logic is also grounded in the structure of our world, and our basic cognitive machinery is tuned by evolutionary pressures to detect that structure where it occurs. Ludwig Wittgenstein (particularly in the "Tractatus") also linked the logical structure of representation with the structure of the world, but still insisted that the sense of our representations must be given prior to -- independently of -- any facts about how the world happens to be. When that requirement is removed, Wittgenstein's position in the Tractatus approaches Maddy's Second Philosophy -- that logic is grounded in the structure of the world and our representational systems reflect that structuring. The later Wittgenstein also hews closely to Second Philosophy, holding that our logical practices are grounded in our interests and motivations, and our natural inclinations, and the features of the world. In this sense, logic is no different from other descriptions of the world -- just more general and responding to features so basic and ubiquitous that they tend to go unnoticed. Maddy's Second Philosophy finds Wittgenstein as an important precursor and kindred spirit, and promotes a new view of him as a naturalistic phliosopher"--
Author | : Charles Travis |
Publisher | : Oxford University Press |
Total Pages | : 228 |
Release | : 2009-03-19 |
Genre | : Philosophy |
ISBN | : 0199562377 |
Thought's Footing is an enquiry into the relationship between the ways things are and the way we think and talk about them. It is also a study of Wittgenstein's Philosophical Investigations: Charles Travis develops his account of certain key themes into a unified view of the work as a whole. His methodological starting-point is to see Wittgenstein's work as a response to Frege's. The central question is: how does thought get its footing? How can the thought that things are a certain way be connected to things being that way? Wittgenstein departs from Frege in holding that there are indefinitely many ways of filling out (giving content to) the notion of truth.. The truth of a thought or utterance is connected with the consequences of thinking or saying it. That is the point of Wittgenstein's introduction of the notion of a language game. The second key theme is this: a representation of things as being a certain way cannot take the right form for truth-bearing without a background of agreement in judgements: its form must belong to thinkers of a given kind. The third key theme is that the proprietary perceptions of a given sort of thinker as to what would be a case of judging when there is a particular way for things to be is not subject to criticism from outside it. Along the way Travis gives his own distinctive take on such topics as the problem of singular thought, the notion of a proposition, rule-following, sense and nonsense, the possibility of private language, and the representational content of experience. The result is an original and stimulating demonstration of the continuing value of Wittgenstein's work for central debates in philosophy today.
Author | : Hanne Appelqvist |
Publisher | : Routledge |
Total Pages | : 281 |
Release | : 2019-11-25 |
Genre | : Philosophy |
ISBN | : 1351202650 |
The limit of language is one of the most pervasive notions found in Wittgenstein’s work, both in his early Tractatus Logico-Philosophicus and his later writings. Moreover, the idea of a limit of language is intimately related to important scholarly debates on Wittgenstein’s philosophy, such as the debate between the so-called traditional and resolute interpretations, Wittgenstein’s stance on transcendental idealism, and the philosophical import of Wittgenstein’s latest work On Certainty. This collection includes thirteen original essays that provide a comprehensive overview of the various ways in which Wittgenstein appeals to the limit of language at different stages of his philosophical development. The essays connect the idea of a limit of language to the most important themes discussed by Wittgenstein—his conception of logic and grammar, the method of philosophy, the nature of the subject, and the foundations of knowledge—as well as his views on ethics, aesthetics, and religion. The essays also relate Wittgenstein’s thought to his contemporaries, including Carnap, Frege, Heidegger, Levinas, and Moore.
Author | : Marie McGinn |
Publisher | : OUP Oxford |
Total Pages | : 332 |
Release | : 2006-11-16 |
Genre | : Philosophy |
ISBN | : 0191529591 |
Discussion of Wittgenstein's Tractatus is currently dominated by two opposing interpretations of the work: a metaphysical or realist reading and the 'resolute' reading of Diamond and Conant. Marie McGinn's principal aim in this book is to develop an alternative interpretative line, which rejects the idea, central to the metaphysical reading, that Wittgenstein sets out to ground the logic of our language in features of an independently constituted reality, but which allows that he aims to provide positive philosophical insights into how language functions. McGinn takes as a guiding principle the idea that we should see Wittgenstein's early work as an attempt to eschew philosophical theory and to allow language itself to reveal how it functions. By this account, the aim of the work is to elucidate what language itself makes clear, namely, what is essential to its capacity to express thoughts that are true or false. However, the early Wittgenstein undertakes this descriptive project in the grip of a set of preconceptions concerning the essence of language that determine both how he conceives the problem and the approach he takes to the task of clarification. Nevertheless, the Tractatus contains philosophical insights, achieved despite his early preconceptions, that form the foundation of his later philosophy. The anti-metaphysical interpretation that is presented includes a novel reading of the problematic opening sections of the Tractatus, in which the apparently metaphysical status of Wittgenstein's remarks is shown to be an illusion. The book includes a discussion of the philosophical background to the Tractatus, a comprehensive interpretation of Wittgenstein's early views of logic and language, and an interpretation of the remarks on solipsism. The final chapter is a discussion of the relation between the early and the later philosophy that articulates the fundamental shift in Wittgenstein's approach to the task of understanding how language functions and reveal the still more fundamental continuity in his conception of his philosophical task.
Author | : Robert J. Fogelin |
Publisher | : Princeton University Press |
Total Pages | : 200 |
Release | : 2020-04-28 |
Genre | : Philosophy |
ISBN | : 0691202389 |
Taking Wittgenstein at His Word is an experiment in reading organized around a central question: What kind of interpretation of Wittgenstein's later philosophy emerges if we adhere strictly to his claims that he is not in the business of presenting and defending philosophical theses and that his only aim is to expose persistent conceptual misunderstandings that lead to deep philosophical perplexities? Robert Fogelin draws out the therapeutic aspects of Wittgenstein's later work by closely examining his account of rule-following and how he applies the idea in the philosophy of mathematics. The first of the book's two parts focuses on rule-following, Wittgenstein's "paradox of interpretation," and his naturalistic response to this paradox, all of which are persistent and crucial features of his later philosophy. Fogelin offers a corrective to the frequent misunderstanding that the paradox of interpretation is a paradox about meaning, and he emphasizes the importance of Wittgenstein's often undervalued appeals to natural responses. The second half of the book examines how Wittgenstein applies his reflections on rule-following to the status of mathematical propositions, proofs, and objects, leading to remarkable, demystifying results. Taking Wittgenstein at His Word shows that what Wittgenstein claims to be doing and what he actually does are much closer than is often recognized. In doing so, the book underscores fundamental—but frequently underappreciated—insights about Wittgenstein's later philosophy.