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  • Keywords: Completeness Theorem x
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Putnam's Model‐Theoretic Arguments

Barry Taylor

in Models, Truth, and Realism

Published in print:
2006
Published Online:
September 2006
ISBN:
9780199286690
eISBN:
9780191604065
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199286698.003.0003
Subject:
Philosophy, Metaphysics/Epistemology

This chapter sets out the relevant core of Putnam’s case. Section 3.1 extracts three arguments from Putnam’s writings: the Arguments from Cardinality, Completeness, and Permutation. Of these, section ... More


Changing the Rules

Barry Taylor

in Models, Truth, and Realism

Published in print:
2006
Published Online:
September 2006
ISBN:
9780199286690
eISBN:
9780191604065
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199286698.003.0004
Subject:
Philosophy, Metaphysics/Epistemology

This chapter examines other ways the Argument from Completeness might be attacked. It identifies two strategies that the realist might deploy in order to avoid the difficulties engendered by the ... More


Compactness, infinitesimals, and the reals

Tim Button and Sean Walsh

in Philosophy and Model Theory

Published in print:
2018
Published Online:
May 2018
ISBN:
9780198790396
eISBN:
9780191863424
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198790396.003.0004
Subject:
Philosophy, Logic/Philosophy of Mathematics

One of the most famous philosophical applications of model theory is Robinson’s attempt to salvage infinitesimals. Infinitesimals are quantities whose absolute value is smaller than that of any given ... More


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