• In logic and analytic philosophy, an atomic sentence is a type of declarative sentence which is either true or false (may also be referred to as a proposition...
    9 KB (1,210 words) - 10:28, 16 September 2024
  • vary. Sentences without any logical connectives or quantifiers in them are known as atomic sentences; by analogy to atomic formula. Sentences are then...
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  • In proof theory, polarity assignment for atomic formulas is an essential component of focusing. Atomic sentence Hodges, Wilfrid (1997). A Shorter Model...
    4 KB (523 words) - 15:37, 22 May 2024
  • constituents are atomic sentences. A contemporary semantic definition of truth would define truth for the atomic sentences as follows: An atomic sentence F(x1,....
    9 KB (1,050 words) - 17:46, 9 July 2024
  • depends on being by holding that the truth of molecular sentences depends on the truth of atomic sentences, whose truth in turn depends on being. All non-maximalist...
    25 KB (3,229 words) - 06:13, 20 November 2023
  • nonimplication Negation Sheffer stroke Atomic formula Open sentence Proposition Analytic proposition Axiom Atomic sentence Clause (logic) Contingent proposition...
    24 KB (2,084 words) - 23:23, 8 July 2024
  • Givant (1987) showed that the fragment of first-order logic that has no atomic sentence lying in the scope of more than three quantifiers has the same expressive...
    93 KB (13,133 words) - 16:35, 16 September 2024
  • or both. (disjunction) If sentences lack any logical connectives, they are called simple sentences, or atomic sentences; if they contain one or more...
    111 KB (11,051 words) - 04:09, 2 October 2024
  • Thumbnail for Sorites paradox
    every atomic sentence of the language L {\displaystyle L} , and let A t ( x ) {\displaystyle At(x)} be the number of distinct atomic sentences in x {\displaystyle...
    33 KB (3,926 words) - 20:38, 20 September 2024
  • a (usually infinite) conjunction containing every possible ground atomic sentence, either negated or unnegated; such a conjunction describes a possible...
    30 KB (3,876 words) - 23:11, 6 March 2024