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A Problem for Present-Day Mathematics

Steven French and Décio Krause

in Identity in Physics: A Historical, Philosophical, and Formal Analysis

Published in print:
2006
Published Online:
September 2006
ISBN:
9780199278244
eISBN:
9780191603952
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199278245.003.0006
Subject:
Philosophy, Philosophy of Science

This chapter explores Manin’s suggestion that formal axioms for indiscernible objects in physics should be given. Collections of such objects cannot be regarded as sets, since such sets are typically ... More


Individual Essences and Bare Identities

Penelope Mackie

in How Things Might Have Been: Individuals, Kinds, and Essential Properties

Published in print:
2006
Published Online:
September 2006
ISBN:
9780199272204
eISBN:
9780191604034
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199272204.003.0002
Subject:
Philosophy, Metaphysics/Epistemology

This chapter introduces the question of whether ordinary individuals have non-trivial individual essences: essential properties that are not only necessary but also sufficient for their identities in ... More


Possibilia and Possible Worlds

Ruth Barcan Marcus

in Modalities: Philosophical Essays

Published in print:
1995
Published Online:
November 2003
ISBN:
9780195096576
eISBN:
9780199833412
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0195096576.003.0013
Subject:
Philosophy, General

This paper examines claims that quantified modal logic trades on deep failures and confusions. In particular, it discusses the putative problem of failure of substitutivity of co‐referential terms in ... More


Body and Soul

Richard Swinburne

in The Evolution of the Soul

Published in print:
1997
Published Online:
November 2003
ISBN:
9780198236986
eISBN:
9780191598593
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0198236980.003.0008
Subject:
Philosophy, Philosophy of Mind

Personal identity cannot be analysed either in terms of a continuity of mental life, or in terms of continuity of bodily matter. Continuing personal identity in the short term is a datum of ... More


Leibniz and Relations

Jonathan Bennett

in Learning from Six Philosophers Volume 1

Published in print:
2001
Published Online:
November 2003
ISBN:
9780198250913
eISBN:
9780191597053
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0198250916.003.0019
Subject:
Philosophy, History of Philosophy

Leibniz held that there are no basic relational truths; his attempts to show that non‐relational truths supervene on relational ones are assessed. Criticism of the view that according to Leibniz ... More


Substantial Identity

John Heil

in From an Ontological Point of View

Published in print:
2003
Published Online:
November 2003
ISBN:
9780199259748
eISBN:
9780191597657
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199259747.003.0016
Subject:
Philosophy, Metaphysics/Epistemology

Is a statue identical with the lump of bronze that makes it up? This question is discussed in the light of claims that statues and lumps possess distinct ‘modal properties’ and so could not be ... More


Philosophy and Model Theory

Tim Button and Sean Walsh

Published in print:
2018
Published Online:
May 2018
ISBN:
9780198790396
eISBN:
9780191863424
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198790396.001.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics

Model theory is used in every theoretical branch of analytic philosophy: in philosophy of mathematics, in philosophy of science, in philosophy of language, in philosophical logic, and in metaphysics. ... More


G. W. F. Leibniz

Daniel W. Smith

in Deleuze's Philosophical Lineage

Published in print:
2005
Published Online:
March 2012
ISBN:
9780748632992
eISBN:
9780748652570
Item type:
chapter
Publisher:
Edinburgh University Press
DOI:
10.3366/edinburgh/9780748632992.003.0003
Subject:
Philosophy, General

This chapter analyses Gilles Deleuze's engagement with the philosophical thoughts of Gottfried Leibniz. It suggests that though having published a book-length study of Leibniz entitled The Fold: ... More


Composition as General Identity

Aaron J. Cotnoir

in Oxford Studies in Metaphysics, Volume 8

Published in print:
2013
Published Online:
January 2014
ISBN:
9780199682904
eISBN:
9780191763083
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199682904.003.0007
Subject:
Philosophy, Metaphysics/Epistemology

Here are three main challenges defenders of composition as identity: the syntactic challenge, the semantic challenge, and the discernibility challenge . In this chapter, the author claims all three ... More


The Indiscernibility of Identicals and the Transitivity of Identity in Spinoza’s Logic of the Attributes

Don Garrett

in Necessity and Nature in Spinoza's Philosophy

Published in print:
2018
Published Online:
October 2018
ISBN:
9780195307771
eISBN:
9780190880019
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780195307771.003.0014
Subject:
Philosophy, Metaphysics/Epistemology

Puzzlingly, Spinoza appears to reject two principles that are central to our understanding of numerical identity: the Indiscernibility of Identicals and the Transitivity of Identity. For each ... More


On Being in the Same Place at the Same Time

David Wiggins

in Continuants: Their Activity, Their Being, and Their Identity

Published in print:
2016
Published Online:
December 2016
ISBN:
9780198716624
eISBN:
9780191785115
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198716624.003.0002
Subject:
Philosophy, Metaphysics/Epistemology

‘On being in the same place at the same time’, to which a critical commentary is now attached, considers the possibility or impossibility of the co-occupation by distinct things of the same place at ... More


Essence and Identity

Kathrin Koslicki

in Metaphysics, Meaning, and Modality: Themes from Kit Fine

Published in print:
2020
Published Online:
November 2020
ISBN:
9780199652624
eISBN:
9780191889660
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780199652624.003.0007
Subject:
Philosophy, Metaphysics/Epistemology

This chapter evaluates six proposals essentialists might put forward in response to Quine’s challenge, viz., to provide necessary and sufficient conditions for the crossworld identity of individuals: ... More


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