Induction vs Corollary - What's the difference?

As nouns the difference between induction and corollary

is that induction is an act of inducting while corollary is something given beyond what is actually due; something added or superfluous.

induction

English

Noun

(en noun)

An act of inducting.

* Beaumont and Fletcher

I know not you; nor am I well pleased to make this time, as the affair now stands, the induction of your acquaintance.

* Shakespeare

These promises are fair, the parties sure, / And our induction full of prosperous hope.

# A formal ceremony in which a person is appointed to an office or into military service.

An act of inducing.

# (physics) Generation of an electric current by a varying magnetic field.

# (logic) Derivation of general principles from specific instances.

# (mathematics) A method of proof of a theorem by first proving it for a specific case (often an integer; usually 0 or 1) and showing that, if it is true for one case then it must be true for the next.

# (theater) Use of rumors to twist and complicate the plot of a play or to narrate in a way that does not have to state truth nor fact within the play.

# (biology) In developmental biology, the development of a feature from part of a formerly homogenous field of cells in response to a morphogen whose source determines the feature's position and extent.

(lb) The process of inducing the birth process.

(obsolete) An introduction.

* Massinger

This is but an induction : I will daw / The curtains of the tragedy hereafter.

Derived terms

* induction axiom * induction circuit * induction coil * induction cooker * induction cooking * induction cut * induction flowmeter * induction furnace * induction heating * induction loop * induction motor * induction period * induction programme * induction range * induction therapy * induction training * induction variable * induction welding * mathematical induction

Quotations

* (English Citations of "induction")

corollary

English

Noun

(corollaries)

Something given beyond what is actually due; something added or superfluous.

Something which occurs a fortiori , as a result of another effort without significant additional effort.

Finally getting that cracked window fixed was a nice corollary of redoing the whole storefont.

(mathematics, logic) A proposition which follows easily from the proof of another proposition.

We have proven that this set is finite and well ordered; as a corollary , we now know that there is an order-preserving map from it to the natural numbers.

External links

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