inductive assumption

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• Inductive bias — The inductive bias of a learning algorithm is the set of assumptions that the learner uses to predict outputs given inputs that it has not encountered (Mitchell, 1980).In machine learning, one aims to construct algorithms that are able to learn… …   Wikipedia

• Problem of induction — The problem of induction is the philosophical question of whether inductive reasoning is valid. That is, what is the justification for either:# generalizing about the properties of a class of objects based on some number of observations of… …   Wikipedia

• Bellman-Ford algorithm — The Bellman–Ford algorithm, a label correcting algorithm [cite web |url=http://www.mit.edu/people/dimitrib/SLF.pdf |title=A Simple and Fast Label Correcting Algorithm for Shortest Paths |accessdate=2008 10 01 |author=Dimitri P. Bertsekas… …   Wikipedia

• Gödel's incompleteness theorems — In mathematical logic, Gödel s incompleteness theorems, proved by Kurt Gödel in 1931, are two theorems stating inherent limitations of all but the most trivial formal systems for arithmetic of mathematical interest. The theorems are of… …   Wikipedia

• Cayley's formula — 2^{2 2}=1 tree with 2 vertices,3^{3 2}=3 trees with 3 vertices and 4^{4 2}=16trees with 4 vertices.In mathematics, Cayley s formula is a result in graph theory named after Arthur Cayley. It states that if n is an integer bigger than 1, the number …   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

• 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

• nature, philosophy of — Introduction       the discipline that investigates substantive issues regarding the actual features of nature as a reality. The discussion here is divided into two parts: the philosophy of physics and the philosophy of biology.       In this… …   Universalium

• Mathematical induction — can be informally illustrated by reference to the sequential effect of falling dominoes. Mathematical induction is a method of mathematical proof typically used to establish that a given statement is true of all natural numbers (positive… …   Wikipedia

• Mill, John Stuart: Logic and metaphysics — J.S.Mill Logic and metaphysics John Skorupski ENLIGHTENMENT AND ROMANTICISM IN MILL’S PHILOSOPHY Mill’s importance as one of the major figures of nineteenth century politics and culture, and the current interest in him as a moral and political… …   History of philosophy

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