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单词 propositional calculus
释义

Definition of propositional calculus in English:

propositional calculus

noun
mass noun
  • The branch of symbolic logic that deals with propositions and the relations between them, without examination of their content.

    Example sentencesExamples
    • He worked on mathematical logic, wrote essays on the principle of non-contradiction and the excluded middle around 1910, developed a three value propositional calculus and worked on many valued logics.
    • We now turn to his Ph.D. thesis, in which he proved the completeness and consistency of the propositional calculus described in the Principia Mathematica by introducing the truth table method.
    • The letters and truth-functors are the elements of a language which, together with certain rules of inference taken as primitive or axiomatic, constitute what is called the propositional calculus.
    • There are numerous small errors (such as confusing the propositional calculus with the predicate calculus on page 168), which will mystify a nonexpert reader.
    • Over finite domains of discourse the predicate calculus boils down to the classical propositional calculus, which is indeed a cut and dried affair, alternatives being surveyable.
 
 

Definition of propositional calculus in US English:

propositional calculus

noun
  • The branch of symbolic logic that deals with propositions and the relations between them, without examination of their content.

    Example sentencesExamples
    • The letters and truth-functors are the elements of a language which, together with certain rules of inference taken as primitive or axiomatic, constitute what is called the propositional calculus.
    • He worked on mathematical logic, wrote essays on the principle of non-contradiction and the excluded middle around 1910, developed a three value propositional calculus and worked on many valued logics.
    • There are numerous small errors (such as confusing the propositional calculus with the predicate calculus on page 168), which will mystify a nonexpert reader.
    • Over finite domains of discourse the predicate calculus boils down to the classical propositional calculus, which is indeed a cut and dried affair, alternatives being surveyable.
    • We now turn to his Ph.D. thesis, in which he proved the completeness and consistency of the propositional calculus described in the Principia Mathematica by introducing the truth table method.
 
 
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更新时间:2024/9/21 4:27:02