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Philosophy of Mathematics and Logic x clear all

6 A Naturalist's Case Against V = L

Penelope Maddy.

in Naturalism in Mathematics

June 2000; p ublished online November 2003 .

Chapter. Subjects: Philosophy of Mathematics and Logic. 8269 words.

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4 A Realist's Case Against V = L

Penelope Maddy.

in Naturalism in Mathematics

June 2000; p ublished online November 2003 .

Chapter. Subjects: Philosophy of Mathematics and Logic. 8474 words.

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2 A Second Gödelian Theme

Penelope Maddy.

in Naturalism in Mathematics

June 2000; p ublished online November 2003 .

Chapter. Subjects: Philosophy of Mathematics and Logic. 1846 words.

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‘A Succession of Feelings, in and of Itself, is Not a Feeling of Succession’

Christoph Hoerl.

in Mind

April 2013; p ublished online September 2013 .

Journal Article. Subjects: Metaphysics; Epistemology; Philosophy of Mathematics and Logic; Philosophy of Mind; Philosophy of Language. 20208 words.

Variants of the slogan that a succession of experiences (in and of itself) does not amount to an experience of succession are commonplace in the philosophical literature on temporal...

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A‐worlds and the Dot‐Notation

Agustín Rayo.

in The Construction of Logical Space

June 2013; p ublished online September 2013 .

Chapter. Subjects: Metaphysics; Philosophy of Mathematics and Logic. 8398 words.

This chapter develops a device for simulating quantification over merely possible objects. The proposal is frugal in two different respects. First, it is metaphysically frugal: it is...

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Abduction and Explanatory Reasoning

Igor Douven.

in Philosophy

P ublished online January 2019 .

Article. Subjects: Philosophy; Aesthetics and Philosophy of Art; Epistemology; Feminist Philosophy; History of Western Philosophy; Metaphysics; Moral Philosophy; Non-Western Philosophy; Philosophy of Language; Philosophy of Law; Philosophy of Mathematics and Logic; Philosophy of Mind; Philosophy of Religion; Philosophy of Science; Social and Political Philosophy. 5056 words.

The term “abduction” originates in the work of the American pragmatist philosopher Charles Sanders Peirce. Roughly, he meant it to indicate the process of searching for hypotheses guided by...

Ability

Evan Butts.

in Philosophy

P ublished online October 2018 .

Article. Subjects: Philosophy; Aesthetics and Philosophy of Art; Epistemology; Feminist Philosophy; History of Western Philosophy; Metaphysics; Moral Philosophy; Non-Western Philosophy; Philosophy of Language; Philosophy of Law; Philosophy of Mathematics and Logic; Philosophy of Mind; Philosophy of Religion; Philosophy of Science; Social and Political Philosophy. 4808 words.

Ability attribution is a common and important feature of both everyday and theoretical discourse. People are given jobs, picked for teams, and so forth on the basis of their possession (or...

Able to Do the Impossible

Jack Spencer.

in Mind

April 2017; p ublished online September 2016 .

Journal Article. Subjects: Epistemology; Metaphysics; Philosophy of Language; Philosophy of Mathematics and Logic; Philosophy of Mind. 14343 words.

Abstract

According to a widely held principle—the poss-ability principle—an agent, S, is able to only if it is metaphysically possible for S to . I argue...

The Abolition of the British Slave Trade

David Braybrooke, Bryson Brown, Peter K. Schotch and Laura Byrne.

in Logic on the Track of Social Change

December 1995; p ublished online October 2011 .

Chapter. Subjects: Philosophy of Mathematics and Logic. 9984 words.

This chapter attempts to trace in some detail the decision-making process pertaining to the abolition of the British slave trade as debated in the British Parliament in the years 1788 to...

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Abortion

Michael Tooley.

in Philosophy

P ublished online May 2013 .

Article. Subjects: Philosophy; Aesthetics and Philosophy of Art; Epistemology; Feminist Philosophy; History of Western Philosophy; Metaphysics; Moral Philosophy; Non-Western Philosophy; Philosophy of Language; Philosophy of Law; Philosophy of Mathematics and Logic; Philosophy of Mind; Philosophy of Religion; Philosophy of Science; Social and Political Philosophy. 36782 words.

Questions concerning the moral and appropriate legal status of abortion are among the most important issues in applied ethics, and answering those questions involves addressing some...

About the Speaker, by Alessandra Giorgi.

Eliot Michaelson.

in Mind

April 2016; p ublished online February 2016 .

Journal Article. Subjects: Epistemology; Metaphysics; Philosophy of Language; Philosophy of Mathematics and Logic; Philosophy of Mind. 1503 words.

Absolute infinity

Graham Priest.

in Beyond the Limits of Thought

October 2002; p ublished online October 2011 .

Chapter. Subjects: Philosophy of Mathematics and Logic. 6571 words.

This chapter examines the relevance of mathematician and philosopher George Cantor's views on infinity to the contradictions in the limits of thought. Cantor's work has clarified with an...

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Absolute Modality

Hale Bob.

in Necessary Beings

September 2013; p ublished online January 2014 .

Chapter. Subjects: Metaphysics; Philosophy of Mathematics and Logic. 10110 words.

After explaining how McFetridge’s proposed account of logically necessary inference may be extended to a general characterization of absolutely necessity in terms of generalized...

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Absolutism and Relativism

J. P. Studd.

in Everything, more or less

April 2019; p ublished online May 2019 .

Chapter. Subjects: Philosophy of Mathematics and Logic. 10200 words.

Absolutism about quantifiers maintains, with a good deal of prima facie plausibility, that quantifiers like ‘everything’ sometimes range over an absolutely comprehensive domain. This view...

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Abstract Mathematical Tools and Machines for Mathematics

JEAN-PIERRE MARQUIS.

in Philosophia Mathematica

October 1997; p ublished online October 1997 .

Journal Article. Subjects: Philosophy of Mathematics and Logic; Mathematics. 0 words.

In this paper, we try to establish that some mathematical theories, like K-theory, homology, cohomology, homotopy theories, spectral sequences, modern Galois theory (in its various...

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Abstract Objects

Mark Balaguer.

in Philosophy

P ublished online January 2019 .

Article. Subjects: Philosophy; Aesthetics and Philosophy of Art; Epistemology; Feminist Philosophy; History of Western Philosophy; Metaphysics; Moral Philosophy; Non-Western Philosophy; Philosophy of Language; Philosophy of Law; Philosophy of Mathematics and Logic; Philosophy of Mind; Philosophy of Religion; Philosophy of Science; Social and Political Philosophy. 7681 words.

An abstract object is a non-physical, non-mental object that exists outside of space and time and is wholly unextended. For example, one might think that numbers are abstract objects; e.g.,...

Abstract Objects and the Semantics of Natural Language, by Friederike Moltmann.

Byeong-Uk Yi.

in Mind

July 2015; p ublished online June 2015 .

Journal Article. Subjects: Epistemology; Metaphysics; Philosophy of Language; Philosophy of Mathematics and Logic; Philosophy of Mind. 2960 words.

Abstraction and Additional Nature†

Bob Hale and Crispin Wright.

in Philosophia Mathematica

June 2008; p ublished online October 2007 .

Journal Article. Subjects: Philosophy of Mathematics and Logic; Mathematics. 12011 words.

In ‘What is wrong with abstraction’, Michael Potter and Peter Sullivan explain a further objection to the abstractionist programme in the foundations of mathematics which they first...

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Abstraction and Epistemic Entitlement: On the Epistemological Status of Hume’s Principle

Crispin Wright.

in Abstractionism

December 2016; p ublished online January 2017 .

Chapter. Subjects: Philosophy of Mathematics and Logic. 12483 words.

The abstractionist program of foundations for classical mathematical theories is, like its traditional logicist ancestors, first and foremost an epistemological project. Its official aim is...

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Abstraction and Infinity

Paolo Mancosu.

December 2016; p ublished online January 2017 .

Book. Subjects: Philosophy of Mathematics and Logic; History of Western Philosophy. 240 pages.

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...

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