##
Abstract Mathematical Tools and Machines for Mathematics^{†}

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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## Abstraction and Additional Nature†

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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Adam Olszewski, Bartosz Brożek, and Piotr Urbańczyk, eds. *Church's Thesis: Logic, Mind and Nature.* Kraków, Poland: Copernicus Center Press, 2014. ISBN 978-83-7886-009-9 (hbk). Pp. 431

in** Philosophia Mathematica**

February 2016; p ublished online September 2015 .

Journal Article. Subjects: Philosophy of Mathematics and Logic; Mathematics. 195 words.

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## Aesthetic Preferences in Mathematics: A Case Study

in** Philosophia Mathematica**

June 2018; p ublished online July 2017 .

Journal Article. Subjects: Philosophy of Mathematics and Logic; Mathematics. 8745 words.

**ABSTRACT**

Although mathematicians often use it, mathematical beauty is a philosophically challenging concept. How can abstract objects be evaluated as...

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## After Gödel: Mechanism, Reason, and Realism in the Philosophy of Mathematics†

in** Philosophia Mathematica**

June 2006; p ublished online January 2006 .

Journal Article. Subjects: Philosophy of Mathematics and Logic; Mathematics. 11242 words.

In his 1951 Gibbs Lecture Gödel formulates the central implication of the incompleteness theorems as a disjunction: either the human mind infinitely surpasses the powers of any finite...

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## Afterword to Special Issue on Mathematical Depth

in** Philosophia Mathematica**

June 2015; p ublished online March 2015 .

Journal Article. Subjects: Philosophy of Mathematics and Logic; Mathematics. 6735 words.

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Agustín Rayo and Gabriel Uzquiano, eds. *Absolute Generality*

in** Philosophia Mathematica**

February 2008; p ublished online February 2007 .

Journal Article. Subjects: Philosophy of Mathematics and Logic; Mathematics. 142 words.

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Alan Richardson and Thomas Uebel. *The Cambridge Companion to Logical Empiricism*

in** Philosophia Mathematica**

February 2008; p ublished online January 2008 .

Journal Article. Subjects: Philosophy of Mathematics and Logic; Mathematics. 239 words.

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Albert Lautman. *Mathematics, Ideas and the Physical Real*. Simon B. Duffy, trans. London and New York: Continuum, 2011. 978-1-4411-2344-2 (pbk); 978-1-44114656-4 (hbk); 978-1-44114433-1 (pdf e-bk); 978-1-44114654-0 (epub e-bk). Pp. xlii + 310

in** Philosophia Mathematica**

October 2013; p ublished online May 2013 .

Journal Article. Subjects: Philosophy of Mathematics and Logic; Mathematics. 2374 words.

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Alexei Angelides, ed. *
***Essays on the History of the Philosophy of Mathematics**
. Special issue of *Graduate Faculty Philosophy Journal*
**25** (2004), No. 2. New York: New School for Social Research.* Pp. xvi + 349

**Essays on the History of the Philosophy of Mathematics**

in** Philosophia Mathematica**

February 2006; p ublished online January 2006 .

Journal Article. Subjects: Philosophy of Mathematics and Logic; Mathematics. 153 words.

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##
Ali Behboud. **
***Bolzanos Beiträge zur Mathematik und ihrer Philosophie [Bolzano's Contributions to Mathematics and its Philosophy]*
. Bern: Bern Studies in the History and Philosophy of Science, 2000. Pp. iii + 141. ISBN 3-8311-1026-3.

*Bolzanos Beiträge zur Mathematik und ihrer Philosophie [Bolzano's Contributions to Mathematics and its Philosophy]*

in** Philosophia Mathematica**

June 2007; p ublished online March 2007 .

Journal Article. Subjects: Philosophy of Mathematics and Logic; Mathematics. 2907 words.

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Alison Walsh. *Relations Between Logic and Mathematics in the Work of Benjamin and Charles S. Peirce.* Boston: Docent Press, 2012. ISBN 978-098370046-3 (pbk). Pp. x + 314

in** Philosophia Mathematica**

February 2015; p ublished online November 2014 .

Journal Article. Subjects: Philosophy of Mathematics and Logic; Mathematics. 2057 words.

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##
Amirouche Moktefi
and Stephen Read, eds. *Hugh MacColl after One Hundred Years*

in** Philosophia Mathematica**

June 2012; p ublished online February 2012 .

Journal Article. Subjects: Philosophy of Mathematics and Logic; Mathematics. 191 words.

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## András Máté and Péter Mekis eds. Special Issue, Imre Ruzsa — A Man of Consequence. Hungarian Philosophical Review / Magyar Filozófiai Szemle

in** Philosophia Mathematica**

October 2011; p ublished online July 2011 .

Journal Article. Subjects: Philosophy of Mathematics and Logic; Mathematics. 196 words.

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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.

**Frege e il Neologicismo**

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

*The Argument of Mathematics*

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*)

*Philosophy of Mathematics.*

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

**Alfred Tarski: Life and Logic.**

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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