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number-theoretic symbolism

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  • Function (mathematics) — f(x) redirects here. For the band, see f(x) (band). Graph of example function, In mathematics, a function associates one quantity, the a …   Wikipedia

  • Μ-recursive function — In mathematical logic and computer science, the μ recursive functions are a class of partial functions from natural numbers to natural numbers which are computable in an intuitive sense. In fact, in computability theory it is shown that the μ… …   Wikipedia

  • μ operator — In computability theory, the μ operator, minimization operator, or unbounded search operator searches for the least natural number with a given property. Contents 1 Definition 2 Properties 3 Examples …   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

  • 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

  • mathematics — /math euh mat iks/, n. 1. (used with a sing. v.) the systematic treatment of magnitude, relationships between figures and forms, and relations between quantities expressed symbolically. 2. (used with a sing. or pl. v.) mathematical procedures,… …   Universalium

  • Mereology — In philosophy and mathematical logic, mereology (from the Greek μέρος, root: μερε(σ) , part and the suffix logy study, discussion, science ) treats parts and the wholes they form. Whereas set theory is founded on the membership relation between a …   Wikipedia

  • French Literature — • Origin, foundations, and types Catholic Encyclopedia. Kevin Knight. 2006. French Literature     French Literature     † …   Catholic encyclopedia

  • Olivier Messiaen — in 1946 Olivier Messiaen (French pronunciation: [ɔlivje mɛsjɑ̃]; December 10, 1908 – Apri …   Wikipedia

  • Propositional formula — In propositional logic, a propositional formula is a type of syntactic formula which is well formed and has a truth value. If the values of all variables in a propositional formula are given, it determines a unique truth value. A propositional… …   Wikipedia

  • Logic and the philosophy of mathematics in the nineteenth century — John Stillwell INTRODUCTION In its history of over two thousand years, mathematics has seldom been disturbed by philosophical disputes. Ever since Plato, who is said to have put the slogan ‘Let no one who is not a geometer enter here’ over the… …   History of philosophy

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