Bemerkungen Über Die Grundlagen Der Mathematik

Bemerkungen Über Die Grundlagen Der Mathematik PDF Author: Ludwig Wittgenstein
Publisher:
ISBN: 9780262730174
Category : Mathematics
Languages : de
Pages : 204

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Bemerkungen Über Die Grundlagen Der Mathematik

Bemerkungen Über Die Grundlagen Der Mathematik PDF Author: Ludwig Wittgenstein
Publisher:
ISBN: 9780262730174
Category : Mathematics
Languages : de
Pages : 204

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Book Description


Tractatus Logico-philosophicus

Tractatus Logico-philosophicus PDF Author: Ludwig Wittgenstein
Publisher: Psychology Press
ISBN: 9780415254083
Category : Literary Criticism
Languages : en
Pages : 146

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Book Description
Perhaps the most important work of philosophy written in the 20th century, this was the only philosophical work that Wittgenstein published during his lifetime.

Wittgenstein on Mathematics

Wittgenstein on Mathematics PDF Author: Severin Schroeder
Publisher: Routledge
ISBN: 100031829X
Category : Philosophy
Languages : en
Pages : 210

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Book Description
This book offers a detailed account and discussion of Ludwig Wittgenstein’s philosophy of mathematics. In Part I, the stage is set with a brief presentation of Frege’s logicist attempt to provide arithmetic with a foundation and Wittgenstein’s criticisms of it, followed by sketches of Wittgenstein’s early views of mathematics, in the Tractatus and in the early 1930s. Then (in Part II), Wittgenstein’s mature philosophy of mathematics (1937-44) is carefully presented and examined. Schroeder explains that it is based on two key ideas: the calculus view and the grammar view. On the one hand, mathematics is seen as a human activity — calculation — rather than a theory. On the other hand, the results of mathematical calculations serve as grammatical norms. The following chapters (on mathematics as grammar; rule-following; conventionalism; the empirical basis of mathematics; the role of proof) explore the tension between those two key ideas and suggest a way in which it can be resolved. Finally, there are chapters analysing and defending Wittgenstein’s provocative views on Hilbert’s Formalism and the quest for consistency proofs and on Gödel’s incompleteness theorems.

Wittgenstein, Finitism, and the Foundations of Mathematics

Wittgenstein, Finitism, and the Foundations of Mathematics PDF Author: Mathieu Marion
Publisher: OUP Oxford
ISBN: 0191568325
Category : Philosophy
Languages : en
Pages : 272

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Book Description
Mathieu Marion offers a careful, historically informed study of Wittgenstein's philosophy of mathematics. This area of his work has frequently been undervalued by Wittgenstein specialists and by philosophers of mathematics alike; but the surprising fact that he wrote more on this subject than on any other indicates its centrality in his thought. Marion traces the development of Wittgenstein's thinking in the context of the mathematical and philosophical work of the times, to make coherent sense of ideas that have too often been misunderstood because they have been presented in a disjointed and incomplete way. In particular, he illuminates the work of the neglected 'transitional period' between the Tractatus and the Investigations. Marion shows that study of Wittgenstein's writings on mathematics is essential to a proper understanding of his philosophy; and he also demonstrates that it has much to contribute to current debates about the foundations of mathematics.

Principia Mathematica

Principia Mathematica PDF Author: Alfred North Whitehead
Publisher:
ISBN:
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 696

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Wittgenstein Reading

Wittgenstein Reading PDF Author: Sascha Bru
Publisher: Walter de Gruyter
ISBN: 3110294699
Category : Philosophy
Languages : en
Pages : 424

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Book Description
Wittgenstein's thought is reflected in his reading and reception of other authors. Wittgenstein Reading approaches the moment of literature as a vehicle of self-reflection for Wittgenstein. What sounds, on the surface, like criticism (e.g. of Shakespeare) can equally be understood as a simple registration of Wittgenstein's own reaction, hence a piece of self-diagnosis or self-analysis. The book brings a representative sample of authors, from Shakespeare, Goethe, or Dostoyevsky to some that have received far less attention in Wittgenstein scholarship like Kleist, Lessing, or Wilhelm Busch and Johann Nepomuk Nestroy. Furthermore, the volume offers means for the cultural contextualization of Wittgenstein's thoughts. Unique to this book is its internal design. The editors' introduction sets the scene with regards to both biography and theory, while each of the subsequent chapters takes a quotation from Wittgenstein on a particular author as its point of departure for developing a more specific theme relating to the writer in question. This format serves to avoid the well-trodden paths of discussions on the relationship between philosophy and literature, allowing for unconventional observations to be made. Furthermore, the volume offers means for the cultural contextualization of Wittgenstein's thoughts.

How To Read Wittgenstein

How To Read Wittgenstein PDF Author: Ray Monk
Publisher: Granta Books
ISBN: 1783785713
Category : Philosophy
Languages : en
Pages : 132

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Book Description
Though Wittgenstein wrote on the same subjects that dominate the work of other analytic philosophers - the nature of logic, the limits of language, the analysis of meaning - he did so in a peculiarly poetic style that separates his work sharply from that of his peers and makes the question of how to read him particularly pertinent. At the root of Wittgenstein's thought, Ray Monk argues, is a determination to resist the scientism characteristic of our age, a determination to insist on the integrity and the autonomy of non-scientific forms of understanding. The kind of understanding we seek in philosophy, Wittgenstein tried to make clear, is similar to the kind we might seek of a person, a piece of music, or, indeed, a poem. Extracts are taken from Tractatus Logico-Philosophicus and from a range of writings, including Philosophical Investigations, The Blue and Brown Books and Last Writings on the Philosophy of Psychology.

Wittgenstein's Tractatus

Wittgenstein's Tractatus PDF Author: Alfred Nordmann
Publisher: Cambridge University Press
ISBN: 9780521850865
Category : Mathematics
Languages : en
Pages : 256

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Book Description
This introduction, first published in 2005, considers the philosophical and literary aspects of Wittgenstein's 'Tractatus' and shows how they are related.

Frank Ramsey

Frank Ramsey PDF Author: Cheryl Misak
Publisher: Oxford University Press
ISBN: 0191074810
Category : Philosophy
Languages : en
Pages : 537

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Book Description
When he died in 1930 aged 26, Frank Ramsey had already invented one branch of mathematics and two branches of economics, laying the foundations for decision theory and game theory. Keynes deferred to him; he was the only philosopher whom Wittgenstein treated as an equal. Had he lived he might have been recognized as the most brilliant thinker of the century. This amiable shambling bear of a man was an ardent socialist, a believer in free love, and an intimate of the Bloomsbury set. For the first time Cheryl Misak tells the full story of his extraordinary life.

The Principles of Mathematics

The Principles of Mathematics PDF Author: Bertrand Russell
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 565

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