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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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ABRAHAMS, (Ian) David (<i>born</i> 1958), Beyer Professor of Applied Mathematics, University of Manchester, since 1998

in Who's Who

P ublished online November 2015 .

Reference Entry. Subjects: History of Mathematics; Mathematics; Applied Mathematics; Social and Cultural History; Education; Organization and Management of Education. 184 words.

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Abstract Mathematical Tools and Machines for Mathematics<sup>†</sup>

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. <i>Church's Thesis: Logic, Mind and Nature.</i> 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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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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A<span class="smallCaps">gustín</span> R<span class="smallCaps">ayo</span> and G<span class="smallCaps">abriel</span> U<span class="smallCaps">zquiano</span>, eds. <i>Absolute Generality</i>

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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A<span class="smallCaps">lan</span> R<span class="smallCaps">ichardson</span> and T<span class="smallCaps">homas</span> U<span class="smallCaps">ebel</span>. <i>The Cambridge Companion to Logical Empiricism</i>

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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