misproof

noun 3

Definitions

noun

1

A mathematical proof that contains logical errors.

Only a misproof of Nöebling [66] (for any m) ensued in the 1930's.

This is what applied mathematics should be about; not the fallacious misproofs of Stoke's theorem or the relentless linearisation of the nonlinear that put me off applied mathematics for 15 years.

2

Evidence or convincing argument that misleads one to the wrong conclusion.

Misproof occurs when some other than the proposition stated is proved. This may occur from confusion, or may be intentional, as in attacking the character of an opponent (argumentum ad hominem); appealing to the prejudice (ad populum); or to authority without evidence of validity (ad verecundiam).

However, the probability of such a misproof goes to zero exponentially with the number of questions asked and hence the probability of giving an interactive “proof” for a false statement can be easily made arbitrarily small.

3

Evidence that contradicts or casts doubt on.

That he could claim close kinship with a maiden so sweet and fair as Phyllis Maybird seemed almost incredible, but her own words placed the matter beyond misproof or doubt.

Misproof of the declared condition of mind falsifies the statement.

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