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Constructibility and Mathematical Existence

Charles S. Chihara

Published in print:
1991
Published Online:
November 2003
ISBN:
9780198239758
eISBN:
9780191597190
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/0198239750.001.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics

A continuation of the study of mathematical existence begun in Ontology and the Vicious‐Circle Principle (published in 1973); in the present work, Quine's indispensability argument is rebutted by the ... More


The Nature of Mathematical Knowledge

Philip Kitcher

Published in print:
1985
Published Online:
November 2003
ISBN:
9780195035414
eISBN:
9780199833368
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/0195035410.001.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics

The Nature of Mathematical Knowledge develops and defends an empiricist approach to mathematical knowledge. After offering an account of a priori knowledge, it argues that none of the ... More


Two Forms of Pluralism

Steven Horst

in Beyond Reduction: Philosophy of Mind and Post-Reductionist Philosophy of Science

Published in print:
2007
Published Online:
September 2007
ISBN:
9780195317114
eISBN:
9780199871520
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195317114.003.0008
Subject:
Philosophy, Philosophy of Mind

This chapter examines two forms of pluralism in philosophy of mind that are suggested by explanatory pluralism in philosophy of science. The first is a radical ontological pluralism suggested by John ... More


The Web of Practices

José Ferreirós

in Mathematical Knowledge and the Interplay of Practices

Published in print:
2015
Published Online:
October 2017
ISBN:
9780691167510
eISBN:
9781400874002
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691167510.003.0002
Subject:
Mathematics, Logic / Computer Science / Mathematical Philosophy

This chapter is a general introduction to the current trend of studies of mathematical practice, with particular emphasis on historical and philosophical work. It offers a preliminary explanation of ... More


Articulating the A Priori–A Posteriori Distinction

Albert Casullo

in Essays on a Priori Knowledge and Justification: Essays

Published in print:
2012
Published Online:
May 2012
ISBN:
9780199777860
eISBN:
9780199933525
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199777860.003.0014
Subject:
Philosophy, Metaphysics/Epistemology, General

The distinction between a priori knowledge and a posteriori knowledge has come under attack in the recent literature by Philip Kitcher, John Hawthorne, C. S. Jenkins, and Timothy Williamson. ... More


Revisability, Reliabilism, and a Priori Knowledge

Albert Casullo

in Essays on a Priori Knowledge and Justification: Essays

Published in print:
2012
Published Online:
May 2012
ISBN:
9780199777860
eISBN:
9780199933525
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199777860.003.0003
Subject:
Philosophy, Metaphysics/Epistemology, General

Hilary Putnam argues against the existence of a priori knowledge by analyzing the concept of a statement known a priori as one that is rationally unrevisable and arguing that no statements are ... More


: Kant and the Two Dogmas of Rationalism

Henry E. Allison

in Essays on Kant

Published in print:
2012
Published Online:
September 2012
ISBN:
9780199647033
eISBN:
9780191741166
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199647033.003.0005
Subject:
Philosophy, History of Philosophy, Metaphysics/Epistemology

This essay was inspired by Philip Kitcher's suggestion that in the first Critique Kant came close to anticipating Quine's “Two Dogmas of Empiricism.” It claims instead that Kant can more accurately ... More


Explanation and Causal Relevance

Carl F. Craver

in Explaining the Brain

Published in print:
2007
Published Online:
January 2009
ISBN:
9780199299317
eISBN:
9780191715075
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199299317.003.0002
Subject:
Philosophy, Philosophy of Mind, Philosophy of Science

This chapter defends a causal-mechanical view of explanation in neuroscience by arguing against three other philosophical accounts of scientific explanation: Paul Churchland's representational ... More


Natural Kinds and Biological Realisms *

Michael Devitt

in Putting Metaphysics First: Essays on Metaphysics and Epistemology

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199280803
eISBN:
9780191723254
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199280803.003.0011
Subject:
Philosophy, Metaphysics/Epistemology, Philosophy of Science

This chapter examines some interesting ‘realism’ issues in biology, arguing that these are best seen as about which kinds are explanatorily significant, which ones are ‘natural kinds’. Seeing them as ... More


Mathematical Explanation: Why it Matters

Paolo Mancosu

in The Philosophy of Mathematical Practice

Published in print:
2008
Published Online:
February 2010
ISBN:
9780199296453
eISBN:
9780191711961
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199296453.003.0006
Subject:
Philosophy, Logic/Philosophy of Mathematics

This chapter offers a broad survey of the literature on mathematical explanation, and shows the importance of this area of work for a philosophical understanding of mathematical practice and for ... More


Beyond Unification

Johannes Hafner and Paolo Mancosu

in The Philosophy of Mathematical Practice

Published in print:
2008
Published Online:
February 2010
ISBN:
9780199296453
eISBN:
9780191711961
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199296453.003.0007
Subject:
Philosophy, Logic/Philosophy of Mathematics

The subject of mathematical explanation has received increasing attention in recent years. Philip Kitcher is a well-known defender of an account of (scientific as well as) mathematical explanation as ... More


The Advancement of Science: Science Without Legend, Objectivity Without Illusions

Philip Kitcher

Published in print:
1995
Published Online:
November 2003
ISBN:
9780195096538
eISBN:
9780199833351
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/0195096533.001.0001
Subject:
Philosophy, Philosophy of Science

The Advancement of Science attempts to understand the notions of scientific progress, scientific objectivity, and the growth of knowledge by taking up the challenges that have been ... More


Recent Attempts at Blunting the Indispensability Thesis

Michael D. Resnik

in Mathematics as a Science of Patterns

Published in print:
1999
Published Online:
November 2003
ISBN:
9780198250142
eISBN:
9780191598296
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0198250142.003.0004
Subject:
Philosophy, Logic/Philosophy of Mathematics

The indispensability thesis maintains both that using mathematical terms and assertions is an indispensable part of scientific practice and that this practice commits science to mathematical objects ... More


Van Fraassen on Explanation

Wesley C. Salmon and Philip Kitcher

in Causality and Explanation

Published in print:
1998
Published Online:
November 2003
ISBN:
9780195108644
eISBN:
9780199833627
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0195108647.003.0012
Subject:
Philosophy, Philosophy of Science

Coauthored by Philip Kitcher, deals critically with the view – whose most influential proponent is Bas van Fraassen – that the traditional problems of scientific explanation can be resolved by means ... More


Causality Without Counterfactuals

Wesley C. Salmon

in Causality and Explanation

Published in print:
1998
Published Online:
November 2003
ISBN:
9780195108644
eISBN:
9780199833627
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0195108647.003.0017
Subject:
Philosophy, Philosophy of Science

The author replaces his earlier explication of causal processes in terms of capacity for mark transmission with an analysis of the capacity for transmission of conserved quantities. This new theory ... More


Kitcher's Ideal Agents

Charles S. Chihara

in Constructibility and Mathematical Existence

Published in print:
1991
Published Online:
November 2003
ISBN:
9780198239758
eISBN:
9780191597190
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0198239750.003.0011
Subject:
Philosophy, Logic/Philosophy of Mathematics

Compares and contrasts Philip Kitcher's Ideal Agent account of mathematics with the constructibility view of this work. Raises a variety of doubts about the cogency of Kitcher's account and points ... More


Scientific Knowledge

Philip Kitcher

in The Oxford Handbook of Epistemology

Published in print:
2002
Published Online:
November 2003
ISBN:
9780195130058
eISBN:
9780199833481
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0195130057.003.0014
Subject:
Philosophy, Metaphysics/Epistemology

In “Scientific Knowledge,” Philip Kitcher challenges arguments that deny the truth of the theoretical claims of science, and he attempts to discover reasons for endorsing the truth of such claims. He ... More


A Priori Knowledge Revisited

Philip Kitcher

in New Essays on the A Priori

Published in print:
2000
Published Online:
November 2003
ISBN:
9780199241279
eISBN:
9780191597107
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199241279.003.0004
Subject:
Philosophy, Metaphysics/Epistemology

Philip Kitcher defends his rejection of the thesis that mathematical knowledge is possible if such knowledge is a priori against a number of objections. His main line of argument is to suggest a ... More


Knowledge as True Full Belief

Isaac Levi

in Pragmatism and Inquiry: Selected Essays

Published in print:
2012
Published Online:
January 2013
ISBN:
9780199698134
eISBN:
9780191742323
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199698134.003.0012
Subject:
Philosophy, Metaphysics/Epistemology, History of Philosophy

In the opening chapter of Enterprise of Knowledge, written by the same author as this book, it was argued that characterizing knowledge as true full belief gave expression to an epistemic ideal that, ... More


Where the Conflict Really Lies: Science, Religion, and Naturalism

Alvin Plantinga

Published in print:
2011
Published Online:
January 2012
ISBN:
9780199812097
eISBN:
9780199928590
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199812097.001.0001
Subject:
Philosophy, Philosophy of Religion

This book is a long-awaited major statement by a pre-eminent analytic philosopher, on one of our biggest debates—the compatibility of science and religion. The last twenty years has seen a cottage ... More


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