### Some articles on *atomic formula, formula, atomic formulas, formulas*:

Well-formed Formula - Atomic and Open Formulas

... An

... 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 ...Interpretation (logic) - First-order Logic - Formal Languages For First-order Logic

... Given a signature σ, the corresponding formal language is known as the set of σ-

... 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 ...### Famous quotes containing the words formulas and/or atomic:

“You treat world history as a mathematician does mathematics, in which nothing but laws and *formulas* exist, no reality, no good and evil, no time, no yesterday, no tomorrow, nothing but an eternal, shallow, mathematical present.”

—Hermann Hesse (1877–1962)

“The totality of our so-called knowledge or beliefs, from the most casual matters of geography and history to the profoundest laws of *atomic* physics or even of pure mathematics and logic, is a man-made fabric which impinges on experience only along the edges. Or, to change the figure, total science is like a field of force whose boundary conditions are experience.”

—Willard Van Orman Quine (b. 1908)

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