Some articles on formulas, formula, atomic formulas, atomic formula:
... Given a signature σ, the corresponding formal language is known as the set of σ-formulas ... Each σ-formula is built up out of atomic formulas by means of logical connectives atomic formulas are built from terms using predicate symbols ... The formal definition of the set of σ-formulas proceeds in the other direction first, terms are assembled from the constant and function symbols together ...
... An atomic formula is a formula that contains no logical connectives nor quantifiers, or equivalently a formula that has no strict subformulas ... The precise form of atomic formulas depends on the formal system under consideration for propositional logic, for example, the atomic formulas are the propositional variables ... According to some terminology, an open formula is formed by combining atomic formulas using only logical connectives, to the exclusion of quantifiers ...
Famous quotes containing the words formulas and/or atomic:
“Thats the great danger of sectarian opinions, they always accept the formulas of past events as useful for the measurement of future events and they never are, if you have high standards of accuracy.”
—John Dos Passos (18961970)
“The pace of science forces the pace of technique. Theoretical physics forces atomic energy on us; the successful production of the fission bomb forces upon us the manufacture of the hydrogen bomb. We do not choose our problems, we do not choose our products; we are pushed, we are forcedby what? By a system which has no purpose and goal transcending it, and which makes man its appendix.”
—Erich Fromm (19001980)