postulate of mathematical induction
1Mathematical logic — (also known as symbolic logic) is a subfield of mathematics with close connections to foundations of mathematics, theoretical computer science and philosophical logic.[1] The field includes both the mathematical study of logic and the… …
2Mathematical proof — In mathematics, a proof is a convincing demonstration (within the accepted standards of the field) that some mathematical statement is necessarily true.[1][2] Proofs are obtained from deductive reasoning, rather than from inductive or empirical… …
3Proof of Bertrand's postulate — In mathematics, Bertrand s postulate (actually a theorem) states that for each n ≥ 2 there is a prime p such that n < p < 2 n . It was first proven by Pafnuty Chebyshev, and a short but advanced proof was given by Srinivasa Ramanujan. The gist of …
4List of mathematical proofs — A list of articles with mathematical proofs:Theorems of which articles are primarily devoted to proving them: See also: *Bertrand s postulate and a proof *Estimation of covariance matrices *Fermat s little theorem and some proofs *Gödel s… …
5Peano's postulates — The postulates isolated by R. Dedekind (1831–1916) and formulated by the Italian mathematician G. Peano (1858–1932), that define the number series as the series of successors to the number zero. Informally they are: (i) zero is a number; (ii)… …
6Inductive reasoning — Induction or inductive reasoning, sometimes called inductive logic, is the process of reasoning in which the premises of an argument are believed to support the conclusion but do not entail it; i.e. they do not ensure its truth. Induction is a… …
7mathematics — /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,… …
8Ibn al-Haytham — Infobox Muslim scholars | notability = Muslim scientist| era = Islamic Golden Age| color = #cef2e0 | | image caption = Ibn al Haytham drawing taken from a 1982 Iraqi 10 dinar note. | | name = Unicode|Abū ‘Alī al Ḥasan ibn al Ḥasan ibn al Haytham… …
9Mathematics in medieval Islam — A page from the The Compendious Book on Calculation by Completion and Balancing by Al Khwarizmi. In the history of mathematics, mathematics in medieval Islam, often termed Islamic mathematics …
10Brouwer-Hilbert controversy — A foundational controversy in twentieth century history of mathematics opposed L. E. J. Brouwer, a supporter of intuitionism, and David Hilbert, the founder of formalism.BackgroundThe background for the controversy was set with David Hilbert s… …
