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Abstraction and Infinity

Abstraction and Infinity

Paolo Mancosu

Published in print:
2016
Published Online:
January 2017
ISBN:
9780198746829
eISBN:
9780191809095
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198746829.001.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics, History of Philosophy

The book provides an original investigation of historical and systematic aspects of the notions of abstraction and infinity and their interaction. The notion of abstraction in question is that ... More

AbstractionismEssays in Philosophy of Mathematics

Abstractionism: Essays in Philosophy of Mathematics

Philip A Ebert and Marcus Rossberg (eds)

Published in print:
2016
Published Online:
January 2017
ISBN:
9780199645268
eISBN:
9780191755330
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199645268.001.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics

The collection contains an extensive introduction and 16 original papers on the philosophical and mathematical aspects of Abstractionism—a position in the philosophy of mathematics which is a ... More

The Adventure of ReasonInterplay Between Philosophy of Mathematics and Mathematical Logic, 1900-1940

The Adventure of Reason: Interplay Between Philosophy of Mathematics and Mathematical Logic, 1900-1940

Paolo Mancosu

Published in print:
2010
Published Online:
May 2011
ISBN:
9780199546534
eISBN:
9780191594939
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199546534.001.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics, Philosophy of Mind

The book contains innovative contributions to the history and the philosophy of logic and mathematics in the first half of the twentieth century. It is divided into five main sections: history of ... More

Applying MathematicsImmersion, Inference, Interpretation

Applying Mathematics: Immersion, Inference, Interpretation

Otávio Bueno and Steven French

Published in print:
2018
Published Online:
June 2018
ISBN:
9780198815044
eISBN:
9780191852862
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198815044.001.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics

What has been called ‘the unreasonable effectiveness of mathematics’ sets a challenge for philosophers. Some have responded to that challenge by arguing that mathematics is essentially ... More

Articulating Medieval Logic

Articulating Medieval Logic

Terence Parsons

Published in print:
2014
Published Online:
June 2014
ISBN:
9780199688845
eISBN:
9780191768002
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199688845.001.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics, Ancient Philosophy

Medieval logic consists of theories and practices clustered around a core of rules and axioms; the logic contains widely known principles which can be derived from the core. These are used by ... More

Attitude ProblemsAn Essay On Linguistic Intensionality

Attitude Problems: An Essay On Linguistic Intensionality

Graeme Forbes

Published in print:
2006
Published Online:
October 2011
ISBN:
9780199274949
eISBN:
9780191699801
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199274949.001.0001
Subject:
Philosophy, Philosophy of Language, Logic/Philosophy of Mathematics

Ascriptions of mental states to oneself and others give rise to many interesting logical and semantic problems. This problem presents an original account of mental state ascriptions that are made ... More

Beyond the Limits of Thought

Beyond the Limits of Thought

Graham Priest

Published in print:
2002
Published Online:
October 2011
ISBN:
9780199254057
eISBN:
9780191698194
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199254057.001.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics, Metaphysics/Epistemology

This book presents an expanded edition of the author's exploration of the nature and limits of thought. Embracing contradiction and challenging traditional logic, the book engages with issues across ... More

By Parallel ReasoningThe Construction and Evaluation of Analogical Arguments

By Parallel Reasoning: The Construction and Evaluation of Analogical Arguments

Paul Bartha

Published in print:
2010
Published Online:
May 2010
ISBN:
9780195325539
eISBN:
9780199776313
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195325539.001.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics

This book proposes a theory of analogical arguments, with special focus on analogies in mathematics and science. The core principle of the theory is that a good analogical argument must articulate a ... More

Cartesian Method and the Problem of
                        Reduction

Cartesian Method and the Problem of Reduction

Emily R. Grosholz

Published in print:
1991
Published Online:
October 2011
ISBN:
9780198242505
eISBN:
9780191680502
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198242505.001.0001
Subject:
Philosophy, History of Philosophy, Logic/Philosophy of Mathematics

Cartesian method, construed as a way of organizing domains of knowledge according to the ‘order of reason’, was a powerful reductive tool. Descartes produced important ... More

Categories of BeingEssays on Metaphysics and Logic

Categories of Being: Essays on Metaphysics and Logic

Leila Haaparanta and Heikki Koskinen (eds)

Published in print:
2012
Published Online:
September 2012
ISBN:
9780199890576
eISBN:
9780199980031
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199890576.001.0001
Subject:
Philosophy, Metaphysics/Epistemology, Logic/Philosophy of Mathematics

This book provides a presentation of views on the relations between metaphysics and logic from Aristotle through twentieth century philosophers who contributed to the return of metaphysics in the ... More

Changes of MindAn Essay on Rational Belief Revision

Changes of Mind: An Essay on Rational Belief Revision

Neil Tennant

Published in print:
2012
Published Online:
September 2012
ISBN:
9780199655755
eISBN:
9780191742125
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199655755.001.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics, Metaphysics/Epistemology

This account of rational belief revision explains how a rational agent ought to proceed when adopting a new belief — a difficult matter if the new belief contradicts the agent’s old beliefs. Belief ... More

Collective RationalityEquilibrium in Cooperative Games

Collective Rationality: Equilibrium in Cooperative Games

Paul Weirich

Published in print:
2010
Published Online:
September 2009
ISBN:
9780195388381
eISBN:
9780199866700
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195388381.001.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics

A theory of collective rationality identifies collective acts that are evaluable for rationality and formulates principles for their evaluation. This book argues that a group's act is evaluable for ... More

Composition as Identity

Composition as Identity

Aaron J. Cotnoir and Donald L. M. Baxter (eds)

Published in print:
2014
Published Online:
October 2014
ISBN:
9780199669615
eISBN:
9780191781643
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199669615.001.0001
Subject:
Philosophy, Metaphysics/Epistemology, Logic/Philosophy of Mathematics

Composition is the relation between a whole and its parts—the parts are said to compose the whole; the whole is composed of the parts. But is a whole anything distinct from its parts taken ... More

Constructibility and Mathematical Existence

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 Construction of Logical Space

The Construction of Logical Space

Agustín Rayo

Published in print:
2013
Published Online:
September 2013
ISBN:
9780199662623
eISBN:
9780191755392
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199662623.001.0001
Subject:
Philosophy, Metaphysics/Epistemology, Logic/Philosophy of Mathematics

Our conception of logical space is the set of distinctions we use to navigate the world. This book defends the idea that one’s conception of logical space is shaped by one’s acceptance or rejection ... More

Core Logic

Core Logic

Neil Tennant

Published in print:
2017
Published Online:
October 2017
ISBN:
9780198777892
eISBN:
9780191823367
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198777892.001.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics

Core Logic has unusual philosophical, proof-theoretic, metalogical, computational, and revision-theoretic virtues. It is an elegant kernel lying deep within Classical Logic, a canon for constructive ... More

Counterfactuals and Probability

Counterfactuals and Probability

Moritz Schulz

Published in print:
2017
Published Online:
March 2017
ISBN:
9780198785958
eISBN:
9780191831713
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198785958.001.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics

In this book, the semantics of counterfactuals is studied by drawing on contexts of epistemic uncertainty. Probability plays a twofold role: the concept is used both to describe how counterfactuals ... More

Cuts and CloudsVagueness, its Nature, & its Logic

Cuts and Clouds: Vagueness, its Nature, & its Logic

Richard Dietz and Sebastiano Moruzzi (eds)

Published in print:
2010
Published Online:
May 2010
ISBN:
9780199570386
eISBN:
9780191722134
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199570386.001.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics, Metaphysics/Epistemology

Vagueness is a familiar but deeply puzzling aspect of the relation between language and the world. It is highly controversial what the nature of vagueness is; a feature of the way we represent ... More

Defending the AxiomsOn the Philosophical Foundations of Set Theory

Defending the Axioms: On the Philosophical Foundations of Set Theory

Penelope Maddy

Published in print:
2011
Published Online:
May 2011
ISBN:
9780199596188
eISBN:
9780191725395
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199596188.001.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics, Metaphysics/Epistemology

Mathematics depends on proofs, and proofs have to begin somewhere, from some fundamental assumptions. Chapter I traces the historical rise of pure mathematics and the development of set theory, ... More

Definition

Definition

Richard Robinson

Published in print:
1963
Published Online:
October 2011
ISBN:
9780198241607
eISBN:
9780191680397
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198241607.001.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics, Philosophy of Language

Definition has been practised and discussed for nearly two and a half millenniums. It has been more widely adopted, and less often reviled, than any other part of the original theory of logic drawn ... More

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