Wittgenstein on the Foundations of Mathematics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Wittgenstein on the Foundations of Mathematics write by Crispin Wright. This book was released on 1980. Wittgenstein on the Foundations of Mathematics available in PDF, EPUB and Kindle.
Bemerkungen Über Die Grundlagen Der Mathematik
Bemerkungen Über Die Grundlagen Der Mathematik - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Bemerkungen Über Die Grundlagen Der Mathematik write by Ludwig Wittgenstein. This book was released on 1972. Bemerkungen Über Die Grundlagen Der Mathematik available in PDF, EPUB and Kindle.
Wittgenstein, Finitism, and the Foundations of Mathematics
Wittgenstein, Finitism, and the Foundations of Mathematics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Wittgenstein, Finitism, and the Foundations of Mathematics write by Mathieu Marion. This book was released on 1998-12-17. Wittgenstein, Finitism, and the Foundations of Mathematics available in PDF, EPUB and Kindle. 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.
Wittgenstein on Mathematics
Wittgenstein on Mathematics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Wittgenstein on Mathematics write by Severin Schroeder. This book was released on 2020-12-30. Wittgenstein on Mathematics available in PDF, EPUB and Kindle. 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's Philosophy of Mathematics
Wittgenstein's Philosophy of Mathematics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Wittgenstein's Philosophy of Mathematics write by Pasquale Frascolla. This book was released on 2006-12-05. Wittgenstein's Philosophy of Mathematics available in PDF, EPUB and Kindle. Wittgenstein's role was vital in establishing mathematics as one of this century's principal areas of philosophic inquiry. In this book, the three phases of Wittgenstein's reflections on mathematics are viewed as a progressive whole, rather than as separate entities. Frascolla builds up a systematic construction of Wittgenstein's representation of the role of arithmetic in the theory of logical operations. He also presents a new interpretation of Wittgenstein's rule-following considerations - the `community view of internal relations'.
