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strongly reducible set

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  • Heegaard splitting — In the mathematical field of geometric topology, a Heegaard splitting is a decomposition of a compact oriented 3 manifold that results from dividing it into two handlebodies. The importance of Heegaard splittings has grown in recent years as more …   Wikipedia

  • Reductionism — Descartes held that non human animals could be reductively explained as automata De homine, 1662. Reductionism can mean either (a) an approach to understanding the nature of complex things by reducing them to the interactions of their parts, or… …   Wikipedia

  • Perron–Frobenius theorem — In linear algebra, the Perron–Frobenius theorem, proved by Oskar Perron (1907) and Georg Frobenius (1912), asserts that a real square matrix with positive entries has a unique largest real eigenvalue and that the corresponding… …   Wikipedia

  • Logicism — is one of the schools of thought in the philosophy of mathematics, putting forth the theory that mathematics is an extension of logic and therefore some or all mathematics is reducible to logic.[1] Bertrand Russell and Alfred North Whitehead… …   Wikipedia

  • metaphysics — /met euh fiz iks/, n. (used with a sing. v.) 1. the branch of philosophy that treats of first principles, includes ontology and cosmology, and is intimately connected with epistemology. 2. philosophy, esp. in its more abstruse branches. 3. the… …   Universalium

  • logic, history of — Introduction       the history of the discipline from its origins among the ancient Greeks to the present time. Origins of logic in the West Precursors of ancient logic       There was a medieval tradition according to which the Greek philosopher …   Universalium

  • PHILOSOPHY, JEWISH — This article is arranged according to the following outline: WHAT IS JEWISH PHILOSOPHY? recent histories of jewish philosophy biblical and rabbinic antecedents bible rabbinic literature hellenistic jewish philosophy philo of alexandria biblical… …   Encyclopedia of Judaism

  • literature — /lit euhr euh cheuhr, choor , li treuh /, n. 1. writings in which expression and form, in connection with ideas of permanent and universal interest, are characteristic or essential features, as poetry, novels, history, biography, and essays. 2.… …   Universalium

  • Hermeneutics — Gadamer and Ricoeur G.B.Madison THE HISTORICAL BACKGROUND: ROMANTIC HERMENEUTICS Although the term ‘hermeneutics’ (hermeneutica) is, in its current usage, of early modern origin,1 the practice it refers to is as old as western civilization itself …   History of philosophy

  • Glossary of philosophical isms — This is a list of topics relating to philosophy that end in ism . compactTOC NOTOC A * Absolutism – the position that in a particular domain of thought, all statements in that domain are either absolutely true or absolutely false: none is true… …   Wikipedia

  • linguistics — /ling gwis tiks/, n. (used with a sing. v.) the science of language, including phonetics, phonology, morphology, syntax, semantics, pragmatics, and historical linguistics. [1850 55; see LINGUISTIC, ICS] * * * Study of the nature and structure of… …   Universalium

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