descending induction

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• 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

• Well-founded relation — In mathematics, a binary relation, R, is well founded (or wellfounded) on a class X if and only if every non empty subset of X has a minimal element with respect to R; that is, for every non empty subset S of X, there is an element m of S such… …   Wikipedia

• Emmy Noether — Amalie Emmy Noether Born 23 March 1882(1882 03 23) …   Wikipedia

• Manifold vacuum — Not to be confused with Vacuum manifold. Manifold vacuum, or engine vacuum in an internal combustion engine is the difference in air pressure between the engine s intake manifold and Earth s atmosphere. Manifold vacuum is an effect of a piston s… …   Wikipedia

• Gentzen's consistency proof — Gentzen s theoremIn 1936 Gerhard Gentzen proved the consistency of first order arithmetic using combinatorial methods. Gentzen s proof shows much more than merely that first order arithmetic is consistent. Gentzen showed that the consistency of… …   Wikipedia

• Noetherian — In mathematics, the adjective Noetherian is used to describe objects that satisfy an ascending or descending chain condition on certain kinds of subobjects; in particular, Noetherian group, a group that satisfies the ascending chain condition on… …   Wikipedia

• set theory — the branch of mathematics that deals with relations between sets. [1940 45] * * * Branch of mathematics that deals with the properties of sets. It is most valuable as applied to other areas of mathematics, which borrow from and adapt its… …   Universalium

• Novum Organum — The title page illustration of Instauratio magna The Novum Organum, full original title Novum Organum Scientiarum, is a philosophical work by Francis Bacon, written in Latin and published in 1620. The title translates as new instrument, i.e. new… …   Wikipedia

• Railway electrification system — Railway electrification supplies electrical energy to railway locomotives and multiple units so they can operate without having a reciprocating engine of their own.CharacteristicsThe main advantage of electric traction is a higher power to weight …   Wikipedia

• NFE2L2 — Nuclear factor (erythroid derived 2) like 2 Identifiers Symbols NFE2L2; NRF2 External IDs …   Wikipedia

• Whewell’s philosophy of science and ethics — Struan Jacobs ON SCIENCE Introduction Among the most prodigious of English minds of the nineteenth century, William Whewell (1794–1866) was at various times, and among other things, philosopher, intellectual historian, scientist, educationist,… …   History of philosophy