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Tolerance and Analyticity in Carnap's Philosophy of Mathematics

Michael Friedman

in Future Pasts: The Analytic Tradition in Twentieth Century Philosophy

Published in print:
2001
Published Online:
November 2003
ISBN:
9780195139167
eISBN:
9780199833214
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/019513916X.003.0011
Subject:
Philosophy, History of Philosophy

This essay is an interpretation of Carnap’s principle of tolerance in his 1934 Logical Syntax of Language, as expressed in his philosophy of mathematics. Friedman argues that Carnap’s deepest ... More


Carnap

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/9780199252619.003.0012
Subject:
Philosophy, Logic/Philosophy of Mathematics

In Vienna during the 1920s there emerged a group of philosophers — the logical positivists — who wished to deny that any metaphysical questions were meaningful. Although they held much of the ... More


Was he Trying to Whistle I t?

P. M. S Hacker

in Wittgenstein: Connections and Controversies

Published in print:
2001
Published Online:
April 2005
ISBN:
9780199245697
eISBN:
9780191602245
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/019924569X.003.0004
Subject:
Philosophy, History of Philosophy

Wittgenstein’s doctrines of what can be said and of what cannot be said but only shown, and the paradoxical conclusion of the Tractatus that the sentences of the book are nonsensical, are outlined. ... More


The Tractatus’ Philosophy of Logic and Carnap

Oskari Kuusela

in Wittgenstein on Logic as the Method of Philosophy: Re-examining the Roots and Development of Analytic Philosophy

Published in print:
2019
Published Online:
February 2019
ISBN:
9780198829751
eISBN:
9780191868252
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198829751.003.0003
Subject:
Philosophy, Logic/Philosophy of Mathematics

This chapter discusses the relation between the Tractatus’ and Carnap’s philosophies of logic, arguing that Carnap’s position in The Logical Syntax of Language is in certain respects much closer to ... More


Naming, Thinking, and Meaning In the Tractatu s

P. M. S Hacker

in Wittgenstein: Connections and Controversies

Published in print:
2001
Published Online:
April 2005
ISBN:
9780199245697
eISBN:
9780191602245
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/019924569X.003.0006
Subject:
Philosophy, History of Philosophy

The controversy between Norman Malcolm and Peter Winch over the correct interpretation of the Tractatus conception of names, naming, and the method of projection of names is discussed. Evidence in ... More


“The Defensible Province of Philosophy”: Quine's 1934 Lectures on Carnap

Peter Hylton

in Future Pasts: The Analytic Tradition in Twentieth Century Philosophy

Published in print:
2001
Published Online:
November 2003
ISBN:
9780195139167
eISBN:
9780199833214
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/019513916X.003.0012
Subject:
Philosophy, History of Philosophy

Hylton argues that some of the characteristic concerns of Quine are already in place by the 1930s. Hylton examines Quine’s 1934 Harvard lectures on Carnap, his first attempt to explain Carnap’s ... More


Tense, Indexicality, and Consequence

James Higginbotham

in Tense, Aspect, and Indexicality

Published in print:
2009
Published Online:
May 2010
ISBN:
9780199239313
eISBN:
9780191716904
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199239313.003.0001
Subject:
Linguistics, Semantics and Pragmatics, Theoretical Linguistics

This chapter focuses on two main issues: the issue of indexicality, and the extension of the notions of logic to indexical languages; and the issue of the notation itself. It begins with a discussion ... More


The Logical Syntax of Inductive Probability-gradings

L. Jonathan Cohen

in The Probable and The Provable

Published in print:
1977
Published Online:
October 2011
ISBN:
9780198244127
eISBN:
9780191680748
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198244127.003.0018
Subject:
Philosophy, Metaphysics/Epistemology, Philosophy of Science

This chapter elucidates the logical syntax of inductive probability-gradings. It first presents some logical similarities between inductive and mathematical probability. The inductive ... More


Methodology in Late Nineteenth- and Early Twentieth-Century Analytic Philosophy

Scott Soames

in Analytic Philosophy in America: And Other Historical and Contemporary Essays

Published in print:
2014
Published Online:
October 2017
ISBN:
9780691160726
eISBN:
9781400850464
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691160726.003.0002
Subject:
Philosophy, American Philosophy

This chapter discusses the methodology that guided logico-linguistic analysis from Gottlob Frege’s 1879 Begriffsschrift to Rudolf Carnap’s 1934 The Logical Syntax of Language. In the first four ... More


Old Slogans, New Dogmas

Jared Warren

in Shadows of Syntax: Revitalizing Logical and Mathematical Conventionalism

Published in print:
2020
Published Online:
December 2020
ISBN:
9780190086152
eISBN:
9780190086183
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780190086152.003.0013
Subject:
Philosophy, Logic/Philosophy of Mathematics

This chapter steps back and provides a general overview. It begins by discussing how each of the classic conventionalist slogans (about truth in virtue of meaning, analyticity, tautologies, and more) ... More


Where We Stand

Gennaro Chierchia

in Logic in Grammar: Polarity, Free Choice, and Intervention

Published in print:
2013
Published Online:
September 2013
ISBN:
9780199697977
eISBN:
9780191765971
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199697977.003.0009
Subject:
Linguistics, Semantics and Pragmatics, Syntax and Morphology

This chapter synthesizes and discusses the main results of the book, namely (i) the treatment of ordinary scalar terms and their implicatures, (ii) pure NPIs (emphatic, weak, strong) (iii) NPIs that ... More


Being, Univocity, and Logical Syntax

A.W. Moore

in Language, World, and Limits: Essays in the Philosophy of Language and Metaphysics

Published in print:
2019
Published Online:
September 2019
ISBN:
9780198823643
eISBN:
9780191862250
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198823643.003.0015
Subject:
Philosophy, Philosophy of Language

The focus of this essay is the idea of the univocity of being, championed by Duns Scotus and given prominence more recently by Gilles Deleuze. Although one concern of the essay is with how this idea ... More


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