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2014 (4)

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Book
Kurt Gödel
Authors: --- ---
ISBN: 0191003778 9780191003776 9780199689620 0199689628 0191933465 Year: 2014 Publisher: Oxford

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Abstract

The collected works of Kurt Gödel is designed to be useful and accessible to as wide an audience as possible without sacrificing scientific or historical accuracy.


Book
Kurt Gödel
Authors: --- ---
ISBN: 019100376X 9780191003769 9780199689613 019968961X 0199689628 9780199689620 0191933457 Year: 2014 Publisher: Oxford

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Abstract

The collected works of Kurt Gödel is designed to be useful and accessible to as wide an audience as possible without sacrificing scientific or historical accuracy.


Book
Interpreting Gödel : critical essays
Author:
ISBN: 9781107002661 9780511756306 1107002664 Year: 2014 Publisher: Cambridge: Cambridge university press,

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Abstract

The logician Kurt Gödel (1906-1978) published a paper in 1931 formulating what have come to be known as his "incompleteness theorems", which prove, among other things, that within any formal system with resources sufficient to code arithmetic, questions exist which are neither provable nor disprovable on the basis of the axioms which define the system. These are among the most celebrated results in logic today. In this volume, leading philosophers and mathematicians assess important aspects of Gödel's work on the foundations and philosophy of mathematics. Their essays explore almost every aspect of Godel's intellectual legacy including his concepts of intuition and analyticity, the Completeness Theorem, the set-theoretic multiverse, and the state of mathematical logic today. This groundbreaking volume will be invaluable to students, historians, logicians and philosophers of mathematics who wish to understand the current thinking on these issues.


Book
Interpreting Gödel : critical essays
Author:
ISBN: 113998943X 1316010066 1139984810 1316639770 1316012301 1316001067 0511756305 1316007804 1316005569 1316003302 1107002664 1322176493 9781107002661 Year: 2014 Publisher: Cambridge : Cambridge University Press,

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Abstract

The logician Kurt Gödel (1906-1978) published a paper in 1931 formulating what have come to be known as his 'incompleteness theorems', which prove, among other things, that within any formal system with resources sufficient to code arithmetic, questions exist which are neither provable nor disprovable on the basis of the axioms which define the system. These are among the most celebrated results in logic today. In this volume, leading philosophers and mathematicians assess important aspects of Gödel's work on the foundations and philosophy of mathematics. Their essays explore almost every aspect of Godel's intellectual legacy including his concepts of intuition and analyticity, the Completeness Theorem, the set-theoretic multiverse, and the state of mathematical logic today. This groundbreaking volume will be invaluable to students, historians, logicians and philosophers of mathematics who wish to understand the current thinking on these issues.

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