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These examples, one from mathematics and one from natural language, illustrate the concept of vacuous truths: "For any integer x, if x > 5 then x > 3." [11] – This statement is true non-vacuously (since some integers are indeed greater than 5), but some of its implications are only vacuously true: for example, when x is the integer 2, the statement implies the vacuous truth that "if 2 > 5 ...
Bollocks (/ ˈ b ɒ l ə k s /) is a word of Middle English origin meaning "testicles".The word is often used in British English and Irish English in a multitude of negative ways; it most commonly appears as a noun meaning "rubbish" or "nonsense", an expletive following a minor accident or misfortune, or an adjective to describe something that is of poor quality or useless.
Here, the proof follows immediately by virtue of the definition of material implication in which as the implication is true regardless of the truth value of the antecedent P if the consequent is fixed as true. [5] A related concept is a vacuous truth, where the antecedent P in a material implication P→Q is false. [5]
The word vacuum comes from Latin 'an empty space, void', noun use of neuter of vacuus, meaning "empty", related to vacare, meaning "to be empty".. Vacuum is one of the few words in the English language that contains two consecutive instances of the vowel u.
Material implication does not closely match the usage of conditional sentences in natural language. For example, even though material conditionals with false antecedents are vacuously true, the natural language statement "If 8 is odd, then 3 is prime" is typically judged false. Similarly, any material conditional with a true consequent is ...
Move over, Wordle, Connections and Mini Crossword—there's a new NYT word game in town! The New York Times' recent game, "Strands," is becoming more and more popular as another daily activity ...
One of the first words to be translated was the ancient Greek διατροπή, meaning “disgust,” which appears twice within a few columns of text, the Bodleian Libraries said.
The meaning of emptiness as contemplated here is explained at M I.297 and S IV.296-97 as the "emancipation of the mind by emptiness" (suññatā cetovimutti) being consequent upon the realization that "this world is empty of self or anything pertaining to self" (suññam ida ṃ attena vā attaniyena vā).