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Believing by Faith: A Jamesian Position

John Bishop

in Believing by Faith: An Essay in the Epistemology and Ethics of Religious Belief

Published in print:
2007
Published Online:
May 2007
ISBN:
9780199205547
eISBN:
9780191709432
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199205547.003.0006
Subject:
Philosophy, Philosophy of Religion

Following James — and using his notion of a ‘genuine option’ — it is proposed that doxastic ventures are permissible provided the issue is ‘forced’, of sufficient importance, and essentially ... More


Generality

Michael Potter

in Wittgenstein's Notes on Logic

Published in print:
2008
Published Online:
January 2009
ISBN:
9780199215836
eISBN:
9780191721243
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199215836.003.0020
Subject:
Philosophy, Logic/Philosophy of Mathematics

This chapter focuses on Wittgenstein's account of quantification. Topics covered include variables as classes of propositions, Wittgenstein's idea of decomposing a notation, and the mechanical ... More


Computable Economics: The Arne Ryde Memorial Lectures

K. Velupillai

Published in print:
2000
Published Online:
November 2003
ISBN:
9780198295273
eISBN:
9780191596988
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/0198295278.001.0001
Subject:
Economics and Finance, Macro- and Monetary Economics

In a discipline such as economics, increasingly devoted to its computational content, the mathematical underpinnings of the computability assumptions of economic fundamentals have not been ... More


Introduction

Neil Tennant

in The Taming of the True

Published in print:
2002
Published Online:
October 2011
ISBN:
9780199251605
eISBN:
9780191698057
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199251605.003.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics, Philosophy of Language

This introductory chapter explains the coverage of this book, which is about the realist views of meaning the truth. This book discusses the realism debate, provides a brief survey of varieties of ... More


The Manifestation Argument is Dead

Neil Tennant

in The Taming of the True

Published in print:
2002
Published Online:
October 2011
ISBN:
9780199251605
eISBN:
9780191698057
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199251605.003.0006
Subject:
Philosophy, Logic/Philosophy of Mathematics, Philosophy of Language

This chapter explores the foundational relationships between manifestation, bivalence and undecidability. It examines all possible positions one might take on the relationships among the decidable, ... More


Mathematical Objectivity and Mathematical Objects

Hartry Field

in Truth and the Absence of Fact

Published in print:
2001
Published Online:
November 2003
ISBN:
9780199242894
eISBN:
9780191597381
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199242895.003.0011
Subject:
Philosophy, General

Focuses on an issue about the objectivity of mathematics—the extent to which undecidable sentences have determinate truth‐value—and argues that this issue is more important than the issue of the ... More


Aristotle on Protagoras and early conceptions of thinking and perceiving

Mi-Kyoung Lee

in Epistemology after Protagoras: Responses to Relativism in Plato, Aristotle, and Democritus

Published in print:
2005
Published Online:
October 2005
ISBN:
9780199262229
eISBN:
9780191602924
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199262225.003.0007
Subject:
Philosophy, Ancient Philosophy

In the Metaphysics, Aristotle attempts to identify the picture of thinking that lies behind Protagoras’ measure doctrine. According to this picture, thinking, like perceiving, is produced through ... More


After Gödel: Platonism and Rationalism in Mathematics and Logic

Richard Tieszen

Published in print:
2011
Published Online:
May 2011
ISBN:
9780199606207
eISBN:
9780191725500
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199606207.001.0001
Subject:
Philosophy, History of Philosophy

This book contains an analysis, development, and defense of a number of central ideas in Kurt Gödel's writings on the philosophy and foundations of mathematics and logic, with reference to his three ... More


Gödel's Disjunction: The scope and limits of mathematical knowledge

Leon Horsten and Philip Welch (eds)

Published in print:
2016
Published Online:
November 2016
ISBN:
9780198759591
eISBN:
9780191820373
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198759591.001.0001
Subject:
Mathematics, Logic / Computer Science / Mathematical Philosophy

The logician Kurt Gödel in 1951 established a disjunctive thesis about the scope and limits of mathematical knowledge: either the mathematical mind is equivalent to a Turing machine (i.e., a ... More


Incompleteness, Consistency, and the Ascent to Platonic Rationalism

Richard Tieszen

in After Gödel: Platonism and Rationalism in Mathematics and Logic

Published in print:
2011
Published Online:
May 2011
ISBN:
9780199606207
eISBN:
9780191725500
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199606207.003.0002
Subject:
Philosophy, History of Philosophy

This chapter contains a brief overview of Gödel's main results on incompleteness and undecidability, consistency, finite axiomatizability, independence, and speed-up techniques. Tarski's ... More


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