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André Fuhrmann, Ivan Kasa, and Manfred Kupffer, eds. Special Issue: Philosophy of Mathematics

in Philosophia Mathematica

February 2011; p ublished online February 2011 .

Journal Article. Subjects: Philosophy of Mathematics and Logic; Mathematics. 124 words.

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Andrea Pedeferri, editor. Frege e il Neologicismo . Milan: FrancoAngeli, 2005. ISBN 88-464-6944-5. Pp. 270.

in Philosophia Mathematica

June 2006; p ublished online March 2006 .

Journal Article. Subjects: Philosophy of Mathematics and Logic; Mathematics. 217 words.

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Andrew Aberdein and Ian J. Dove, eds. The Argument of Mathematics. Logic, Epistemology, and the Unity of Science; 30. Dordrecht: Springer, 2013. ISBN 978-94-007-6533-7 (hbk); 978-94-007-6534-4 (e-book). Pp. x + 393

in Philosophia Mathematica

June 2014; p ublished online December 2013 .

Journal Article. Subjects: Philosophy of Mathematics and Logic; Mathematics. 351 words.

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Andrew Aberdein and Ian J. Dove, eds. The Argument of Mathematics . Logic, Epistemology, and the Unity of Science; 30. Dordrecht: Springer, 2013. ISBN: 978-94-007-6533-7 (hbk); 978-94-007-6534-4 (ebook). Pp. x + 393

David DeVidi.

in Philosophia Mathematica

June 2015; p ublished online February 2015 .

Journal Article. Subjects: Philosophy of Mathematics and Logic; Mathematics. 2207 words.

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Andrew D. Irvine. Philosophy of Mathematics. (Handbook of the Philosophy of Science)

in Philosophia Mathematica

February 2010; p ublished online November 2009 .

Journal Article. Subjects: Philosophy of Mathematics and Logic; Mathematics. 138 words.

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Andrews, William (1634/5–1712/13), astrologer and teacher of mathematics

Bernard Capp.

in Oxford Dictionary of National Biography

September 2004; p ublished online September 2004 .

Reference Entry. Subjects: History of Science and Technology; Mysticism; Mathematical Education. 453 words.

Andrews, William (1634/5–1712/13), astrologer and teacher of mathematics, was a well-known compiler of almanacs. He spent his adult life in Essex, at Ashdown (1656), Saffron Walden (by...

Anita Burdman Feferman and Solomon Feferman. Alfred Tarski: Life and Logic. Cambridge: Cambridge University Press, 2004. Pp. vi + 435. ISBN 0-521-80240-7.

Elliott Mendelson.

in Philosophia Mathematica

June 2005; p ublished online June 2005 .

Journal Article. Subjects: Philosophy of Mathematics and Logic; Mathematics. 612 words.

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Announcements

in Philosophia Mathematica

February 2003; p ublished online February 2003 .

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

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An Answer to Hellman's Question: ‘Does Category Theory Provide a Framework for Mathematical Structuralism?’†

STEVE AWODEY.

in Philosophia Mathematica

February 2004; p ublished online February 2004 .

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

An affirmative answer is given to the question quoted in the title.

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Ante Rem Structuralism and the No-Naming Constraint

Teresa Kouri.

in Philosophia Mathematica

February 2016; p ublished online December 2015 .

Journal Article. Subjects: Philosophy of Mathematics and Logic; Mathematics. 5195 words.

Tim Räz has presented what he takes to be a new objection to Stewart Shapiro's ante rem structuralism (ARS). Räz claims that ARS conflicts with mathematical practice. I will explain why...

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anticlastic

Overview page. Subjects: Mathematics — Architecture.

Of a double-curved surface, of which the two curvatures (transverse to each other) lie in opposite directions, convex in length and concave in breadth, or vice versa. This condition can be...

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Apostolos Doxiadis and Barry Mazur, eds. Circles Disturbed: The Interplay of Mathematics and Narrative*

in Philosophia Mathematica

October 2013; p ublished online March 2013 .

Journal Article. Subjects: Philosophy of Mathematics and Logic; Mathematics. 223 words.

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The Applicability of Mathematics as a Scientific and a Logical Problem†

Feng Ye.

in Philosophia Mathematica

June 2010; p ublished online September 2009 .

Journal Article. Subjects: Philosophy of Mathematics and Logic; Mathematics. 9168 words.

This paper explores how to explain the applicability of classical mathematics to the physical world in a radically naturalistic and nominalistic philosophy of mathematics. The applicability...

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Applied Mathematics, Existential Commitment and the Quine-Putnam Indispensability Thesis

JODY AZZOUNI.

in Philosophia Mathematica

October 1997; p ublished online October 1997 .

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

The ramifications are explored of taking physical theories to commit their advocates only to ‘physically real’ entities, where ‘physically real’ means ‘causally efficacious’ (e.g., actual...

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Are There Absolutely Unsolvable Problems? Gödel's Dichotomy†

Solomon Feferman.

in Philosophia Mathematica

June 2006; p ublished online January 2006 .

Journal Article. Subjects: Philosophy of Mathematics and Logic; Mathematics. 7520 words.

This is a critical analysis of the first part of Gödel's 1951 Gibbs lecture on certain philosophical consequences of the incompleteness theorems. Gödel's discussion is framed in terms of a...

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Argyle, Jesse William (1859–1924), social investigator and statistician

Rosemary O'Day.

in Oxford Dictionary of National Biography

September 2004; p ublished online September 2004 .

Reference Entry. Subjects: Social and Cultural History; Society and Culture; Sociology; Education; Probability and Statistics. 934 words.

Argyle, Jesse William (1859–1924), social investigator and statistician, was born at 7 Argyle Road, Mile End, London, on 4 September 1859, the elder of two sons of Jesse Smith Argyle...

Aristotelian Continua

Øystein Linnebo, Stewart Shapiro and Geoffrey Hellman.

in Philosophia Mathematica

June 2016; p ublished online September 2015 .

Journal Article. Subjects: Philosophy of Mathematics and Logic; Mathematics. 15854 words.

In previous work, Hellman and Shapiro present a regions-based account of a one-dimensional continuum. This paper produces a more Aristotelian theory, eschewing the existence of points and...

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Aristotelian Logic, Axioms, and Abstraction

ROY T. COOK.

in Philosophia Mathematica

June 2003; p ublished online June 2003 .

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

Stewart Shapiro and Alan Weir have argued that a crucial part of the demonstration of Frege's Theorem (specifically, that Hume's Principle implies that there are infinitely many objects)...

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Arithmetical Reflection and the Provability of Soundness

Walter Dean.

in Philosophia Mathematica

February 2015; p ublished online December 2014 .

Journal Article. Subjects: Philosophy of Mathematics and Logic; Mathematics. 18964 words.

Proof-theoretic reflection principles are schemas which attempt to express the soundness of arithmetical theories within their own language, e.g., [math] can be understood to assert that...

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asymmetric

Overview page. Subjects: Mathematics — Philosophy.

A relation R is asymmetric if when Rxy it is not the case that Ryx.

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