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All propositions are results of truth-operations on the elementary propositions. The truth-operation is the way in which a truth-function arises from elementary propositions. The truth-operation is the way in which a truth-function arises from elementary propositions. According to the nature of truth-operations, in the same way as out of elementary propositions arise their truth-functions, from truth-functions arises a new one. Every truth-operation creates from truth-functions of elementary propositions, another truth-function of elementary propositions i.e. a proposition. The result of every truth-operation on the results of truth-operations on elementary propositions is also the result of one truth-operation on elementary propositions. Every proposition is the result of truth-operations on elementary propositions. 5.31 The Schemata No. 4.31 are also significant, if "p", "q", "r", etc. are not elementary propositions. And it is easy to see that the propositional sign in No. 4.442 expresses one truth-function of elementary propositions even when "p" and "q" are truth-functions of elementary propositions. 5.32 All truth-functions are results of the successive application of a finite number of truth-operations to elementary propositions. |
