Definition of propositional calculus in English:

propositional calculus


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

    ‘There are numerous small errors (such as confusing the propositional calculus with the predicate calculus on page 168), which will mystify a nonexpert reader.’
    • ‘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.’
    • ‘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.’
    • ‘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.’


propositional calculus

/ˌpräpəˈziSHənl/ /ˌprɑpəˈzɪʃənl/ /ˌpräpəˈziSHnəl ˈkalkyələs/ /ˌprɑpəˈzɪʃnəl ˈkælkjələs/