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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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Alexander, (Conel) Hugh O'Donel (1909–1974), chess player and cryptanalyst

Harry Golombek.

in Oxford Dictionary of National Biography

September 2004; p ublished online September 2004 .

Reference Entry. Subjects: Military History; Warfare and Defence; Hobbies, Games, Arts and Crafts; Numerical and Computational Mathematics. 1551 words.

Alexander, (Conel) Hugh O'Donel (1909–1974), chess player and cryptanalyst, was born in Cork on 19 April 1909, the eldest of four children of Conel William Long Alexander (1879–1920),...

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

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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algebra

Overview page. Subjects: Early Modern History (1500 to 1700) — Computing.

The area of mathematics related to the general properties of arithmetic. Relationships can be summarized by using variables, usually denoted by letters x, y, n,… to stand for unknown...

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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.

Paul Rusnock.

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

Shigeyuki Atarashi.

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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Allestree, Richard (b. before 1582, d. c. 1643), almanac maker and mathematician

Bernard Capp.

in Oxford Dictionary of National Biography

September 2004; p ublished online September 2004 .

Reference Entry. Subjects: Mathematics; Mysticism; Alternative Belief Systems. 522 words.

Allestree, Richard (b. before 1582, d. c. 1643), almanac maker and mathematician, was a younger son of William Allestree (b. before 1520, d. 1581) and his wife, Ellen. The...

ambient light

Overview page. Subjects: Computing — Arts and Humanities.

In photography and 3D graphics, indirect light that does not emanate from a discernible source but is reflected and refracted by surfaces and diffused in the atmosphere.

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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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amplitude modulation

Overview page. Subjects: Computing — Media Studies.

The process whereby a digital signal is sent over a transmission line by changing the amplitude of a sine wave known as a carrier.

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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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