MATHEMATICS (MS 1-278)
Nominal and real definitions; definition of terms, e.g., "postulate," "axiom," "corrollary," "theorem," which are employed in mathematical or geometrical demonstration; canon of demonstration. Long digression which begins with recognition of seven schools of philosophy each determined by the emphasis placed upon one or more of the following concepts: form, matter, and entelechy. The relationship of these schools to the realist-nominalist controversy, with special attention given to the Aristotelian position. The nature of signs: sign and related notions, especially form, law, habit and entelechy; sign as having its being in the power, not act, of determining matter; sign as entelechy.
Axioms, nominal, Definition of incomprehensible things, real, Definition of incomprehensible things, Entelechy, Form, Habit (see also Belief; Thirdness), Law(s), Mathematics, simplest Mathematics, Matter, schools of America, Realism, Sign(s)
pp. 1-52 (p. 25 missing), with 11 pp. of variants
MATHEMATICS / THE SIMPLEST MATHEMATICS