Reading Frege's Grundgesetze

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Release : 2012-11-29
Genre : Mathematics
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Book Rating : 705/5 ( reviews)

Reading Frege's Grundgesetze - 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 Reading Frege's Grundgesetze write by Richard G. Heck. This book was released on 2012-11-29. Reading Frege's Grundgesetze available in PDF, EPUB and Kindle. Readership: Scholars and advanced students of philosophy of logic, philosophy of mathematics, and history of analytic philosophy

Reading Frege's Grundgesetze

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Release : 2012-11-29
Genre : Philosophy
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Book Rating : 35X/5 ( reviews)

Reading Frege's Grundgesetze - 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 Reading Frege's Grundgesetze write by Richard G. Heck Jr.. This book was released on 2012-11-29. Reading Frege's Grundgesetze available in PDF, EPUB and Kindle. Gottlob Frege's Grundgesetze der Arithmetik, or Basic Laws of Arithmetic, was intended to be his magnum opus, the book in which he would finally establish his logicist philosophy of arithmetic. But because of the disaster of Russell's Paradox, which undermined Frege's proofs, the more mathematical parts of the book have rarely been read. Richard G. Heck, Jr., aims to change that, and establish it as a neglected masterpiece that must be placed at the center of Frege's philosophy. Part I of Reading Frege's Grundgesetze develops an interpretation of the philosophy of logic that informs Grundgesetze, paying especially close attention to the difficult sections of Frege's book in which he discusses his notorious 'Basic Law V' and attempts to secure its status as a law of logic. Part II examines the mathematical basis of Frege's logicism, explaining and exploring Frege's formal arguments. Heck argues that Frege himself knew that his proofs could be reconstructed so as to avoid Russell's Paradox, and presents Frege's arguments in a way that makes them available to a wide audience. He shows, by example, that careful attention to the structure of Frege's arguments, to what he proved, to how he proved it, and even to what he tried to prove but could not, has much to teach us about Frege's philosophy.

Essays on Frege's Basic Laws of Arithmetic

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Release : 2019-09-05
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Book Rating : 081/5 ( reviews)

Essays on Frege's Basic Laws of Arithmetic - 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 Essays on Frege's Basic Laws of Arithmetic write by Philip A. Ebert. This book was released on 2019-09-05. Essays on Frege's Basic Laws of Arithmetic available in PDF, EPUB and Kindle. This volume is the first collective study of a foundational text in modern philosophy and logic, Gottlob Frege's Basic Laws of Arithmetic which appeared in two volumes in 1893 and 1903. Twenty-two Frege scholars discuss a wide range of philosophical and logical topics arising from Basic Lawsof Arithmetic, and demonstrate the technical and philosophical richness of the work. Their original contributions make vivid the importance of this magnum opus not just for Frege scholars but for the study of the history of logic, mathematics, and philosophy.

Gottlob Frege: Basic Laws of Arithmetic

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Release : 2013-10
Genre : Mathematics
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Book Rating : 742/5 ( reviews)

Gottlob Frege: Basic Laws of Arithmetic - 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 Gottlob Frege: Basic Laws of Arithmetic write by Gottlob Frege. This book was released on 2013-10. Gottlob Frege: Basic Laws of Arithmetic available in PDF, EPUB and Kindle. This is the first complete English translation of Gottlob Frege's Grundgesetze der Arithmetik (1893 and 1903), with introduction and annotation. As the culmination of his ground-breaking work in the philosophy of logic and mathematics, Frege here tried to show how the fundamental laws of arithmetic could be derived from purely logical principles.

Interpreting Frege's Grundgesetze in an Adaptation of Quine's New Foundations

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Release : 2004
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Interpreting Frege's Grundgesetze in an Adaptation of Quine's New Foundations - 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 Interpreting Frege's Grundgesetze in an Adaptation of Quine's New Foundations write by Ryan Beaton. This book was released on 2004. Interpreting Frege's Grundgesetze in an Adaptation of Quine's New Foundations available in PDF, EPUB and Kindle. "We first give a modern presentation of the formal language of Frege's Grundgesetze. There follows a comparison of the motivations for Frege's "Cumulative Type Theory" and for Russell's Type Theory and of the basic arithmetical definitions in each. Quine's New Foundations and, in particular, extensions of Jensen's modification, NFU, are introduced and consistency results are discussed. Finally, an interpretation is given in an NFU framework of a modified form of the Grundgesetze theory. It is shown that an "Axiom of Counting" necessary for arithmetic in NFU is needed in an analogous way for arithmetic in our interpretation; it is further demonstrated that from the statement of this axiom in NFU, the appropriate analogue is provable for our interpretation. The development of arithmetic in an NFU framework is seen essentially to be that intended by Frege in the Grundgesetze." --