induction vs proof

induction

noun
  • 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. 

  • An act of inducing. 

  • Derivation of general principles from specific instances. 

  • An act of inducting. 

  • The process of inducing the birth process. 

  • The delivery of air to the cylinders of an internal combustion piston engine. 

  • Generation of an electric current by a varying magnetic field. 

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

  • The process of showing a newcomer around a place where they will work or study. 

  • 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. 

  • Given a group of cells that emits or displays a substance, the influence of this substance on the fate of a second group of cells 

proof

noun
  • A sequence of statements consisting of axioms, assumptions, statements already demonstrated in another proof, and statements that logically follow from previous statements in the sequence, and which concludes with a statement that is the object of the proof. 

  • A process for testing the accuracy of an operation performed. Compare prove, transitive verb, 5. 

  • The quality or state of having been proved or tried; firmness or hardness which resists impression, or does not yield to force; impenetrability of physical bodies. 

  • The degree of evidence which convinces the mind of any truth or fact, and produces belief; a test by facts or arguments which induce, or tend to induce, certainty of the judgment; conclusive evidence; demonstration. 

  • A measure of the alcohol content of liquor. Originally, in Britain, 100 proof was defined as 57.1% by volume (no longer used). In the US, 100 proof means that the alcohol content is 50% of the total volume of the liquid; thus, absolute alcohol would be 200 proof. 

  • A limited-run high-quality strike of a particular coin, originally as a test run, although nowadays mostly for collectors' sets. 

  • A proof sheet; a trial impression, as from type, taken for correction or examination. 

  • An effort, process, or operation designed to establish or discover a fact or truth; an act of testing; a test; a trial. 

adj
  • Firm or successful in resisting. 

  • Being of a certain standard as to alcohol content. 

  • Used in proving or testing. 

verb
  • To make resistant, especially to water. 

  • To test-fire with a load considerably more powerful than the firearm in question's rated maximum chamber pressure, in order to establish the firearm's ability to withstand pressures well in excess of those expected in service without bursting. 

  • To proofread. 

  • To test the activeness of yeast. 

  • To allow yeast-containing dough to rise. 

How often have the words induction and proof occurred in a corpus of books? (source: Google Ngram Viewer )