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abduction

Overview page. Subjects: Arts and Humanities — Computing.

An inference process widely used in artificial intelligence, particularly in expert systems and rule-based systems. In diagnosis, for example, there may be a rule like “if measles then red...

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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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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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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.

Aesthetic Preferences in Mathematics: A Case Study

Irina Starikova.

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†

Richard Tieszen.

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

Pierre Cassou-Noguès.

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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