proceed by induction
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Induction — • Induction is the conscious mental process by which we pass from the perception of particular phenomena (things and events) to the knowledge of general truths Catholic Encyclopedia. Kevin Knight. 2006. Induction Induction … Catholic encyclopedia
Structural induction — is a proof method that is used in mathematical logic (e.g., the proof of Łoś theorem), computer science, graph theory, and some other mathematical fields. It is a generalization of mathematical induction. Structural recursion is a recursion… … Wikipedia
Banach fixed point theorem — The Banach fixed point theorem (also known as the contraction mapping theorem or contraction mapping principle) is an important tool in the theory of metric spaces; it guarantees the existence and uniqueness of fixed points of certain self maps… … Wikipedia
Semisimple algebra — In ring theory, a semisimple algebra is an associative algebra which has trivial Jacobson radical (that is only the zero element of the algebra is in the Jacobson radical). If the algebra is finite dimensional this is equivalent to saying that it … Wikipedia
Banach fixed-point theorem — In mathematics, the Banach fixed point theorem (also known as the contraction mapping theorem or contraction mapping principle) is an important tool in the theory of metric spaces; it guarantees the existence and uniqueness of fixed points of… … Wikipedia
De Bruijn–Erdős theorem (incidence geometry) — See also: De Bruijn–Erdős theorem (graph theory) In incidence geometry, the De Bruijn–Erdős theorem, originally published by Nicolaas Govert de Bruijn and Paul Erdős (1948), states a lower bound on the number of lines determined by n points… … Wikipedia
Shift theorem — In mathematics, the (exponential) shift theorem is a theorem about polynomial differential operators ( D operators) and exponential functions. It permits one to eliminate, in certain cases, the exponential from under the D operators. The theorem… … Wikipedia
animal development — Introduction the processes that lead eventually to the formation of a new animal starting from cells derived from one or more parent individuals. Development thus occurs following the process by which a new generation of organisms is produced by … Universalium
Bacon (Francis) and man’s two-faced kingdom — Francis Bacon and man’s two faced kingdom Antonio Pérez Ramos Two closely related but distinct tenets about Bacon’s philosophy have been all but rejected by contemporary historiography. The first is Bacon’s attachment to the so called British… … History of philosophy
Charles Sanders Peirce — B … Wikipedia
Spinoza: metaphysics and knowledge — G.H.R.Parkinson The philosophical writings of Spinoza are notoriously obscure, and they have been interpreted in many ways. Some interpreters see Spinoza as (in the words of a contemporary)1 ‘the reformer of the new [sc. Cartesian] philosophy’.… … History of philosophy
