##
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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