By Vanini Giulio Cesare

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Propositions can be true or false. In the first case, we assign the truth value T or simply 1, in the second case, F or simply 0. g. 10) p∨q It is clear that, if p is true, then ∼ p is false, and vice versa. This explains the first truth table. ” This is true if p has the truth value 1 (regardless of the truth value for q). This gives the first line of the second truth table. If p has the truth value 0 (false), then p ∨ q is true (1) if q is true (1) but false (0) if q is false (0). This gives the second line of the table.

282 m, but we may disregard this distinction for the present purpose; cf. also sec. 4. Here we already see that classical principles of logic such as the law of contradiction or the law of the excluded middle (sec. 281 m). 2812 m (not–p) may hold simultaneously. ), a hiking trail in the mountains (which to his embarrassment, the hiker frequently finds very difficult to follow), smoke, a cloud (see also the end of sec. ). , the Earth’s atmosphere just mentioned, considered as a set of molecules.

Obviously not, we have to live with unprecise statements and try to interpret them reasonably, guided by experience. Much more difficult is the task to “precisely” formulate these “unprecise” statements, especially if we want to simulate human thinking by a computer. ”) Fuzzy logic There are various cases and possibilities of formalizing these “fuzzy” concepts. 4. INEXACT CONCEPTS, “FUZZY LOGIC” 41 (1) Least–squares adjustment used in geodesy, astronomy, physics, and other disciplines. This may be illustrated by a simple example.

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Anfiteatro dell'eterna Provvidenza by Vanini Giulio Cesare

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