Science/Engineering Arithmetic and Ontology: A Non-Realist Philosophy of Arithmetic (9042020474)

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Arithmetic and Ontology: A Non-Realist Philosophy of Arithmetic

This volume documents a lively exchange between five philosophers of mathematics. It also introduces a new voice in one central debate in the philosophy of mathematics. Non-realism, i.e., the view supported by Hugly and Sayward in their monograph, is an original position distinct from the widely known realism and anti-realism. Non-realism is characterized by the rejection of a central assumption shared by many realists and anti-realists, i.e., the assumption that mathematical statements purport to refer to objects. The defense of their main argument for the thesis that arithmetic lacks ontology brings the authors to discuss also the controversial contrast between pure and empirical arithmetical discourse. Colin Cheyne, Sanford Shieh, and Jean Paul Van Bendegem, each coming from a different perspective, test the genuine originality of non-realism and raise objections to it. Novel interpretations of well-known arguments, e.g., the indispensability argument, and historical views, e.g. Frege, are interwoven with the development of the authors’ account. The discussion of the often neglected views of Wittgenstein and Prior provide an interesting and much needed contribution to the current debate in the philosophy of mathematics

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	Science/Engineering Predicative Arithmetic The book is based on lecture notes of a course given at Princeton University in 1980. From the contents: the impredicativity of induction, the axioms of arithmetic, order, induction by relativization, the bounded least number principle, Euc ...
	Science/Engineering A Course in Arithmetic A Course in ArithmeticSpringer \| 1996 \| ISBN: 0387900403 \| Pages: 132 \| DJVU \| 2.49 MBSerre's A Course in Arithmetic is a concentrated, modern introduction to basically three areas of number theory, quadratic forms, Dirichlet's density theo ...
	Science/Engineering The Social Life of Numbers: A Quechua Ontology of Numbers and Philosophy of Arithmetic Gary Urton, "The Social Life of Numbers: A Quechua Ontology of Numbers and Philosophy of Arithmetic"University of Texas Press \| 1997 \| ISBN: 0292785348 \| 267 pages \| PDF \| 16,7 MBUnraveling all the mysteries of the khipu--the knotted string ...
	Science/Engineering Arithmetic and Ontology: A Non-Realist Philosophy of Arithmetic. Edited by Pieranna Garavaso Philip Hugley, Charles Sayward, "Arithmetic and Ontology: A Non-Realist Philosophy of Arithmetic" Editions Rodopi BV. \| 2006 \| ISBN: 9042020474 \| 393 pages \| DJVU \| 1,2 MB This volume documents a lively exchange between five philosophers ...
	Science/Engineering The Theology of Arithmetic Iambilichus, Robin Waterfield, "The Theology of Arithmetic" Red Wheel / Weiser \| 1988 \| ISBN: 0933999720 \| 136 pages \| PDF \| 4,2 MB Attributed to Iamblichus (4th cent. AD), The Theology of Arithmetic is about the mystical, mathmatical and ...
	Science/Engineering Field Arithmetic Michael D. Fried, Moshe Jarden, "Field Arithmetic" Springer 2004 \| ISBN-10: 354022811X \| 780 Pages \| PDF \| 7,5 MB Field Arithmetic explores Diophantine fields through their absolute Galois groups. This largely self-contained treatment star ...

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	Science/Engineering Predicative Arithmetic The book is based on lecture notes of a course given at Princeton University in 1980. From the contents: the impredicativity of induction, the axioms of arithmetic, order, induction by relativization, the bounded least number principle, Euc ...
	Science/Engineering A Course in Arithmetic A Course in ArithmeticSpringer \| 1996 \| ISBN: 0387900403 \| Pages: 132 \| DJVU \| 2.49 MBSerre's A Course in Arithmetic is a concentrated, modern introduction to basically three areas of number theory, quadratic forms, Dirichlet's density theo ...
	Science/Engineering The Social Life of Numbers: A Quechua Ontology of Numbers and Philosophy of Arithmetic Gary Urton, "The Social Life of Numbers: A Quechua Ontology of Numbers and Philosophy of Arithmetic"University of Texas Press \| 1997 \| ISBN: 0292785348 \| 267 pages \| PDF \| 16,7 MBUnraveling all the mysteries of the khipu--the knotted string ...
	Science/Engineering Arithmetic and Ontology: A Non-Realist Philosophy of Arithmetic. Edited by Pieranna Garavaso Philip Hugley, Charles Sayward, "Arithmetic and Ontology: A Non-Realist Philosophy of Arithmetic" Editions Rodopi BV. \| 2006 \| ISBN: 9042020474 \| 393 pages \| DJVU \| 1,2 MB This volume documents a lively exchange between five philosophers ...
	Science/Engineering The Theology of Arithmetic Iambilichus, Robin Waterfield, "The Theology of Arithmetic" Red Wheel / Weiser \| 1988 \| ISBN: 0933999720 \| 136 pages \| PDF \| 4,2 MB Attributed to Iamblichus (4th cent. AD), The Theology of Arithmetic is about the mystical, mathmatical and ...
	Science/Engineering Field Arithmetic Michael D. Fried, Moshe Jarden, "Field Arithmetic" Springer 2004 \| ISBN-10: 354022811X \| 780 Pages \| PDF \| 7,5 MB Field Arithmetic explores Diophantine fields through their absolute Galois groups. This largely self-contained treatment star ...

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