## 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

## 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 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 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

*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 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

## Bayes's Theorem

*Richard Swinburne (ed.)*

- Published in print:
- 2005
- Published Online:
- January 2012
- ISBN:
- 9780197263419
- eISBN:
- 9780191734175
- Item type:
- book

- Publisher:
- British Academy
- DOI:
- 10.5871/bacad/9780197263419.001.0001
- Subject:
- Philosophy, Logic/Philosophy of Mathematics

Bayes' theorem is a tool for assessing how probable evidence makes some hypothesis. The papers in this book consider the worth and applicability of the theorem. The book sets out the philosophical ... More

## 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 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

*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 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 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 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

*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

*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

*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

*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

*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 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 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