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Reason's Nearest Kin: Philosophies of Arithmetic from Kant to Carnap

Michael Potter

Published in print:
2002
Published Online:
May 2007
ISBN:
9780199252619
eISBN:
9780191712647
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199252619.001.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics

This book is a critical examination of the astonishing progress made in the philosophical study of the properties of the natural numbers from the 1880s to the 1930s. It reassesses the brilliant ... More


Ramsey

Michael Potter

in Reason's Nearest Kin: Philosophies of Arithmetic from Kant to Carnap

Published in print:
2002
Published Online:
May 2007
ISBN:
9780199252619
eISBN:
9780191712647
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199252619.003.0009
Subject:
Philosophy, Logic/Philosophy of Mathematics

Frank Ramsey was involved in preparing the English translation of the Tractatus as an undergraduate at Cambridge. He developed an account of the theory of types which avoided the difficulties ... More


Conclusion

Michael Potter

in Reason's Nearest Kin: Philosophies of Arithmetic from Kant to Carnap

Published in print:
2002
Published Online:
May 2007
ISBN:
9780199252619
eISBN:
9780191712647
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199252619.003.0013
Subject:
Philosophy, Logic/Philosophy of Mathematics

This concluding chapter summarizes the discussion in the preceding chapters. The book sought an answer to the question: can we give an account of arithmetic which does not make it depend for its ... More


Ramsey on truth and meaning

Ian Rumfitt

in Episteme, etc.: Essays in Honour of Jonathan Barnes

Published in print:
2011
Published Online:
May 2012
ISBN:
9780199696482
eISBN:
9780191738036
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199696482.003.0011
Subject:
Philosophy, Ancient Philosophy, Logic/Philosophy of Mathematics

This chapter develops F. P. Ramsey's theory of truth. Everyone knows that Ramsey had a theory of truth. Rather fewer people know that the theory came in two significantly different versions, and that ... More


Ramsey's Dialetheism

Vann McGee

in The Law of Non-Contradiction

Published in print:
2004
Published Online:
May 2010
ISBN:
9780199265176
eISBN:
9780191713989
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199265176.003.0018
Subject:
Philosophy, Philosophy of Language, Logic/Philosophy of Mathematics

For accommodating defective utterances within compositional semantics, truth-value gaps (Kleene's 3-valued logic) and gluts (Priest's LP) are equally efficient, but in terms of classical logic gaps ... More


Time and Existence

Arthur Prior

in Past, Present and Future

Published in print:
1967
Published Online:
October 2011
ISBN:
9780198243113
eISBN:
9780191680632
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198243113.003.0008
Subject:
Philosophy, Metaphysics/Epistemology, Logic/Philosophy of Mathematics

This chapter covers the following topics: modalized and tensed predicate logic; ancient, medieval, and modern objections to coming to be, being brought into being, and being prevented from being; ... More


Wittgenstein on Philosophy of Logic and Mathematics

Juliet Floyd

in The Oxford Handbook of Philosophy of Mathematics and Logic

Published in print:
2005
Published Online:
July 2005
ISBN:
9780195148770
eISBN:
9780199835560
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0195148770.003.0004
Subject:
Philosophy, Logic/Philosophy of Mathematics

This article is a survey of Wittgenstein’s writings on logic and mathematics; an analytical bibliography of contemporary articles on rule-following, social constructivism, Wittgenstein, Gödel, and ... More


Platonism and Quantification

A. N. Prior

in Objects of Thought

Published in print:
1971
Published Online:
October 2011
ISBN:
9780198243540
eISBN:
9780191680694
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198243540.003.0003
Subject:
Philosophy, Logic/Philosophy of Mathematics, Philosophy of Language

This chapter begins with a discussion of syntactical versus metaphysical economy. It then discusses bound variables as name variables, defence of non-nominal quantifications, idiomatic higher-order ... More


The Objects of Commands and Questions

A. N. Prior

in Objects of Thought

Published in print:
1971
Published Online:
October 2011
ISBN:
9780198243540
eISBN:
9780191680694
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198243540.003.0005
Subject:
Philosophy, Logic/Philosophy of Mathematics, Philosophy of Language

The reasons which were originally given for believing that indicative sentences ‘mean’ or ‘express’ certain real but abstract objects called propositions, may be exactly paralleled by arguments for ... More


EF-tools for Polyadic Quantifiers

Stanley Peters

in Quantifiers in Language and Logic

Published in print:
2008
Published Online:
October 2011
ISBN:
9780199291267
eISBN:
9780191700590
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199291267.003.0016
Subject:
Philosophy, Philosophy of Language, Logic/Philosophy of Mathematics

This chapter considers how the Ehrenfeucht-Fraïssé (EF) technique can be made to work for arbitrary quantifiers and structures. First, two-person games are described, followed by some relatively ... More


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