Word:

Induction

In`duc´tion
n.1.
1.The act or process of inducting or bringing in; introduction; entrance; beginning; commencement.
2.An introduction or introductory scene, as to a play; a preface; a prologue.
This is but an induction: I will draw
The curtains of the tragedy hereafter.
- Massinger.
3.(Philos.) The act or process of reasoning from a part to a whole, from particulars to generals, or from the individual to the universal; also, the result or inference so reached.
Induction is an inference drawn from all the particulars.
- Sir W. Hamilton.
4.The introduction of a clergyman into a benefice, or of an official into a office, with appropriate acts or ceremonies; the giving actual possession of an ecclesiastical living or its temporalities.
5.(Math.) A process of demonstration in which a general truth is gathered from an examination of particular cases, one of which is known to be true, the examination being so conducted that each case is made to depend on the preceding one; - called also successive induction.
6.(Physics) The property by which one body, having electrical or magnetic polarity, causes or induces it in another body without direct contact; an impress of electrical or magnetic force or condition from one body on another without actual contact.
Electro-dynamic induction
the action by which a variable or interrupted current of electricity excites another current in a neighboring conductor forming a closed circuit.
Electro-magnetic induction
the influence by which an electric current produces magnetic polarity in certain bodies near or around which it passes.
Electro-static induction
the action by which a body possessing a charge of statical electricity develops a charge of statical electricity of the opposite character in a neighboring body.
Induction coil
an apparatus producing induced currents of great intensity. It consists of a coil or helix of stout insulated copper wire, surrounded by another coil of very fine insulated wire, in which a momentary current is induced, when a current (as from a voltaic battery), passing through the inner coil, is made, broken, or varied. The inner coil has within it a core of soft iron, and is connected at its terminals with a condenser; - called also inductorium, and Ruhmkorff's coil.
Induction pipe
a pipe, passageway, or valve, for leading or admitting a fluid to a receiver, as steam to an engine cylinder, or water to a pump.
Magnetic induction
the action by which magnetic polarity is developed in a body susceptible to magnetic effects when brought under the influence of a magnet.
Magneto-electric induction
the influence by which a magnet excites electric currents in closed circuits.
Logical induction
(Philos.) an act or method of reasoning from all the parts separately to the whole which they constitute, or into which they may be united collectively; the operation of discovering and proving general propositions; the scientific method.
Philosophical induction
the inference, or the act of inferring, that what has been observed or established in respect to a part, individual, or species, may, on the ground of analogy, be affirmed or received of the whole to which it belongs. This last is the inductive method of Bacon. It ascends from the parts to the whole, and forms, from the general analogy of nature, or special presumptions in the case, conclusions which have greater or less degrees of force, and which may be strengthened or weakened by subsequent experience and experiment. It relates to actual existences, as in physical science or the concerns of life. Logical induction is founded on the necessary laws of thought; philosophical induction, on the interpretation of the indications or analogy of nature.
Noun1.induction - a formal entry into an organization or position or office; "his initiation into the club"; "he was ordered to report for induction into the army"; "he gave a speech as part of his installation into the hall of fame"
2.induction - an electrical phenomenon whereby an electromotive force (EMF) is generated in a closed circuit by a change in the flow of current
3.induction - reasoning from detailed facts to general principles
4.induction - the process whereby changes in the current flow in a circuit produce magnetism or an EMF
5.induction - stimulation that calls up (draws forth) a particular class of behaviors; "the elicitation of his testimony was not easy"
6.induction - (physics) a property of an electric circuit by which an electromotive force is induced in it by a variation of current
Synonyms: inductance
7.induction - the act of bringing about something (especially at an early time); "the induction of an anesthetic state"
8.induction - an act that sets in motion some course of events
Synonyms: trigger, initiation

INDUCTION, eccles. law. The giving a clerk, instituted to a benefice, the actual possession of its temporalties, in the nature of livery of seisin. Ayl. Parerg. 299.

(logic)induction - A method of proving statements about well-ordered sets. If S is a well-ordered set with ordering "<", and we want to show that a property P holds for every element of S, it is sufficient to show that, for all s in S,

IF for all t in S, t < s => P(t) THEN P(s)

I.e. if P holds for anything less than s then it holds for s. In this case we say P is proved by induction.

The most common instance of proof by induction is induction over the natural numbers where we prove that some property holds for n=0 and that if it holds for n, it holds for n+1.

(In fact it is sufficient for "<" to be a well-founded partial order on S, not necessarily a well-ordering of S.)
Baconian method, a fortiori reasoning, a posteriori reasoning, a priori reasoning, accedence, acceptance, accession, admission, admittance, alphabet, analysis, apostolic orders, appointment, baptism, basics, call, call-up, calling, canonization, coming out, compulsory military service, conclusion, conferment, conscription, consecration, consequence, consequent, corollary, coronation, curtain raiser, debut, deduction, deductive reasoning, demonstration, derivation, discourse, discourse of reason, discursive reason, draft, draft call, drafting, election, electromagnetic induction, electrostatic induction, elements, embarkation, embarkment, enlistment, enrollment, enthronement, epagoge, first appearance, first principles, first steps, floating, flotation, generalization, grammar, henry, holy orders, hornbook, hypothesis and verification, illation, immission, impressment, inaugural, inaugural address, inauguration, inductance, inductive reasoning, inductivity, inference, initiation, installation, installment, instatement, institution, introduction, intromission, investiture, launching, levy, logical thought, magnetic induction, maiden speech, major orders, minor orders, mobilization, muster, mutual induction, nomination, opener, ordainment, orders, ordination, outlines, particularization, philosophical induction, philosophy, placement, preferment, preliminary, presentation, press, primer, principia, principles, proof, ratiocination, rationalism, rationality, rationalization, rationalizing, reading in, reason, reasonableness, reasoning, recruiting, recruitment, rudiments, selective service, self-induction, sophistry, specious reasoning, summons, sweet reason, syllogism, syllogistic reasoning, synthesis, taking office, unveiling
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-- Induction --
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