assume+without+proof
41postulate — [päs′chə lāt΄; ] for n., usually [, päs′chəlit] vt. postulated, postulating [< L postulatus, pp. of postulare, to demand < base of poscere, to demand < IE * pṛk̑skā, question < base * perk̑ , to ask > Ger frage, question] 1. to… …
42Confraternity of the Holy Rosary — Confraternity of the Holy Rosary † Catholic Encyclopedia ► Confraternity of the Holy Rosary In accordance with the conclusion of the article ROSARY no sufficient evidence is forthcoming to establish the existence of any Rosary… …
43pos´tu|la´tion — pos|tu|late «noun. POS chuh liht; verb. POS chuh layt», noun, verb, lat|ed, lat|ing. –n. something taken for granted or assumed as a basis for reasoning; fundamental principle; necessary condition: »One postulate in geometry is that a straight… …
44pos|tu|late — «noun. POS chuh liht; verb. POS chuh layt», noun, verb, lat|ed, lat|ing. –n. something taken for granted or assumed as a basis for reasoning; fundamental principle; necessary condition: »One postulate in geometry is that a straight line is the… …
45Assumed — Assume As*sume , v. t. [imp. & p. p. {Assumed}; p. pr. & vb. n. {Assuming}.] [L. assumere; ad + sumere to take; sub + emere to take, buy: cf. F. assumer. See {Redeem}.] 1. To take to or upon one s self; to take formally and demonstratively;… …
46Assuming — Assume As*sume , v. t. [imp. & p. p. {Assumed}; p. pr. & vb. n. {Assuming}.] [L. assumere; ad + sumere to take; sub + emere to take, buy: cf. F. assumer. See {Redeem}.] 1. To take to or upon one s self; to take formally and demonstratively;… …
47Gödel's incompleteness theorems — In mathematical logic, Gödel s incompleteness theorems, proved by Kurt Gödel in 1931, are two theorems stating inherent limitations of all but the most trivial formal systems for arithmetic of mathematical interest. The theorems are of… …
48nature, philosophy of — Introduction the discipline that investigates substantive issues regarding the actual features of nature as a reality. The discussion here is divided into two parts: the philosophy of physics and the philosophy of biology. In this… …
49History of Physics — History of Physics † Catholic Encyclopedia ► History of Physics The subject will be treated under the following heads: I. A Glance at Ancient Physics; II. Science and Early Christian Scholars; III. A Glance at Arabian Physics; IV.… …
50Logicism — is one of the schools of thought in the philosophy of mathematics, putting forth the theory that mathematics is an extension of logic and therefore some or all mathematics is reducible to logic.[1] Bertrand Russell and Alfred North Whitehead… …
