Definitions
American Heritage® Dictionary of the English Language, Fourth Edition
- n. The process of obverting or the condition so resulting.
- n. Logic Inference of the obverse of a proposition.
Century Dictionary and Cyclopedia
- n. The act of obverting or turning toward some person or thing, or toward a position regarded as the front.
- n. In logic, same as conversion, or the transposition of the subject and predicate of a proposition.
- n. In logic:
- n. The taking of the contranominal of the inverse.
Wiktionary
- n. The act of turning toward or downward.
- n. logic An immediate inference that denies the opposite of something previously affirmed.
GNU Webster's 1913
- n. The act of turning toward or downward.
- n. (Logic) The act of immediate inference, by which we deny the opposite of anything which has been affirmed. This is also described as “immediate inference by privative conception.”
Etymologies
- Latin obversio a turning towards. (Wiktionary)
Examples
“It turns out that Strawson's revision of truth conditions does preserve the principles of SQUARE (these can easily be checked by cases), [27] but not the additional conversion principles of [SQUARE], and also not the traditional principles of contraposition or obversion.”
“These are the theory of the syllogism and the doctrines of contraposition and obversion.”
“A similar thing happened with the principle of obversion.”
“Excluded Middle, 'not-wise' is to be affirmed; and _Some men are not-wise_, is by obversion equivalent to _Some men are not wise_.”
“If it be true that _All men are wise_, it is false that _Some men are not wise_ (equivalent by obversion to _Some men are not-wise_); or else, since the 'Some men' are included in the”
“Take any universal affirmative proposition; convert it by obversion”
“Still, given any proposition in the form _A is either B or C_, we can state the propositions that give the sense of obversion, conversion, etc., thus:”
“Similarly, _No men are wise_, being by obversion equivalent to _All men are not-wise_, is incompatible with _Some men are wise_, by the same principle of Contradiction.”
“Hence, since _The sky is blue_ becomes by obversion, _The sky is not not-blue_, we may also infer _The sky is not red_, etc.”
“Similarly, if it be false that _No men are wise_, which by obversion is equivalent to _All men are not-wise_, then it is true at least that”
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