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symmetric relation

Overview page. Subjects: Computing.

A binary relation ∼ on a set S is symmetric if, for all a and b in S, whenever ab then ba.

See overview in Oxford Index

symmetric relation

Christopher Kirwan.

in The Oxford Companion to Philosophy

January 2005; p ublished online January 2005 .

Reference Entry. Subjects: Philosophy. 89 words.

A binary, i.e. two-term, relation is symmetric, or symmetrical, when it holds both ways if at all, i.e. if it

symmetric

Simon Blackburn.

in The Oxford Dictionary of Philosophy

January 2016; p ublished online March 2016 .

Reference Entry. Subjects: Philosophy. 30 words.

A *relation is symmetric when if Rxy, then Ryx. For example, if a person x

symmetric

Simon Blackburn.

in The Oxford Dictionary of Philosophy

January 2008; p ublished online January 2008 .

Reference Entry. Subjects: Philosophy. 30 words.

A *relation is symmetric when if Rxy, then Ryx. For example, if a person x

causal asymmetry

E. J. Lowe.

in The Oxford Companion to Philosophy

January 2005; p ublished online January 2005 .

Reference Entry. Subjects: Philosophy. 189 words.

Causation seems to be an anti symmetrical relation, meaning that if an event a is a cause of another event

equivalence relation

Simon Blackburn.

in The Oxford Dictionary of Philosophy

January 2016; p ublished online March 2016 .

Reference Entry. Subjects: Philosophy. 129 words.

A *relation which is transitive, symmetric, and reflexive divides its field into exclusive classes of things. Within each class

equivalence relation

Simon Blackburn.

in The Oxford Dictionary of Philosophy

January 2008; p ublished online January 2008 .

Reference Entry. Subjects: Philosophy. 129 words.

A *relation which is transitive, symmetric, and reflexive divides its field into exclusive classes of things. Within each class

equivalence relation

Christopher Kirwan.

in The Oxford Companion to Philosophy

January 2005; p ublished online January 2005 .

Reference Entry. Subjects: Philosophy. 50 words.

An equivalence relation is a binary, i.e. two-term, relation that is transitive, symmetric, and (strongly) reflexive; for

causal asymmetry

Overview page. Subjects: Philosophy.

Causation seems to be an anti symmetrical relation, meaning that if an event a is a cause of another event b, then b is not also a cause of a. ...

See overview in Oxford Index

relation

Overview page. Subjects: Philosophy.

Philosophically relations are interesting because of the historic prejudice, given its most forceful expression by Leibniz, that they are somehow ‘unreal’ compared to the intrinsic, monadic...

See overview in Oxford Index

equivalence relation

Overview page. Subjects: Mathematics — Philosophy.

A relation that is transitive, symmetric, and reflexive. The concept is a convenient generalization or abstraction of equality. It covers most notions of equals, equivalence, and similarity...

See overview in Oxford Index

Symmetric Dependence

Elizabeth Barnes.

in Reality and its Structure

May 2018; p ublished online June 2018 .

Chapter. Subjects: Metaphysics. 10010 words.

Metaphysical orthodoxy maintains that the relation of ontological dependence is irreflexive, asymmetric, and transitive. The goal of this paper is to challenge that orthodoxy by arguing...

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Could There Be Unicorns?

Michael Dummett.

in The Seas of Language

February 1996; p ublished online November 2003 .

Chapter. Subjects: Philosophy of Language. 10947 words.

Kripke argued that there might not have been unicorns: since unicorns are fictional species, they are necessarily fictional. There are three arguments aimed at showing the fictionality of...

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Building II

Karen Bennett.

in Making Things Up

May 2017; p ublished online June 2017 .

Chapter. Subjects: Metaphysics. 17520 words.

This chapter argues for a particular way of characterizing what it takes for a relation to count as a building relation. All building relations are a) asymmetric and irreflexive, b)...

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Causal Relations

John Heil.

in The Metaphysics of Relations

January 2016; p ublished online December 2015 .

Chapter. Subjects: Metaphysics. 4555 words.

In this chapter the received view of causation, according to which causal relations are a distinctive species of external relation, and causal relata are taken to be pairs of events, the...

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Grounding in Mathematical Structuralism

John Wigglesworth.

in Reality and its Structure

May 2018; p ublished online June 2018 .

Chapter. Subjects: Metaphysics. 10152 words.

The grounding relation is thought to have certain structural properties: irreflexivity, asymmetry, transitivity, and well-foundedness. This paper examines a putative case of grounding that...

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Metaphysical Interdependence, Epistemic Coherentism, and Holistic Explanation

Naomi Thompson.

in Reality and its Structure

May 2018; p ublished online June 2018 .

Chapter. Subjects: Metaphysics. 8720 words.

This paper argues for an alternative to orthodox foundationalist accounts of metaphysical structure as characterized by grounding relations. There are good reasons to take grounding to be a...

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Fragmenting the Wave Function

Jonathan Simon.

in Oxford Studies in Metaphysics Volume 11

October 2018; p ublished online September 2018 .

Chapter. Subjects: Metaphysics. 10418 words.

This paper develops and defends a new account of B-theoretic endurantism and a new account of the metaphysics of the quantum state, and highlights the parallels between the considerations...

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Plural Slot Theory

T. Scott Dixon.

in Oxford Studies in Metaphysics Volume 11

October 2018; p ublished online September 2018 .

Chapter. Subjects: Metaphysics. 12861 words.

Slot theory (Gilmore 2013) bears the full brunt of Fine’s (2000) symmetric completions and conflicting adicities problems. This chapter develops an alternative, plural slot theory (or pocke...

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Explanation in science

Samir Okasha.

in Philosophy of Science

May 2002; p ublished online September 2013 .

Chapter. Subjects: Philosophy of Science. 5862 words.

What exactly is scientific explanation? ‘Explanation in science’ begins with Carl Hempel's covering law model of explanation, which says that to explain a phenomenon is to show that its...

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Explanation in science

Samir Okasha.

in Philosophy of Science

July 2016; p ublished online July 2016 .

Chapter. Subjects: Philosophy of Science. 5633 words.

‘Explanation in science’ begins with Carl Hempel’s covering law model of explanation, which says that to explain a phenomenon is to show that its occurrence follows deductively from a...

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