| 11. | With the advent of algebraic logic it became apparent however that classical propositional calculus admits other semantics.
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| 12. | Propositional calculus restricts attention to abstract propositions, those built up from propositional variables using Boolean operations.
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| 13. | This can shown as follows : Every proof in propositional calculus uses only axioms and the inference rules.
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| 14. | Truth-functional propositional calculus is a formal system whose formulae may be interpreted as either true or false.
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| 15. | Schwartz ( 1981 ) proved that the " pa " is equivalent-- classical propositional calculus.
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| 16. | Sheffer's result was, however, restricted to the propositional calculus, and so, of limited significance.
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| 17. | A little more of my efforts do survive in the complex of articles concerned with propositional calculus and truth tables.
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| 18. | In particular, checking whether T entails F in this condition can be done using the rules of the propositional calculus.
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| 19. | This motivated me to ask the question : Is propositional calculus and logic the core content of formal or mathematical logic?
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| 20. | In this sense, it is a meta-theorem, comparable to theorems about the soundness or completeness of propositional calculus.
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