Assert and Postulate

verb

• State categorically.
  • synonyms: asseverate, maintain
• To declare or affirm solemnly and formally as true.
  • usage: "Before God I swear I am innocent"
  • synonyms: affirm, verify, avow, aver, swan, swear
• Insist on having one's opinions and rights recognized.
  • usage: "Women should assert themselves more"
  • synonyms: put forward
• Assert to be true.
  • usage: "The letter asserts a free society"
  • synonyms: insist

• (v.t.) To maintain; to defend.
• (v.t.) To maintain or defend, as a cause or a claim, by words or measures; to vindicate a claim or title to; as, to assert our rights and liberties.
• (v.t.) To affirm; to declare with assurance or plainly and strongly; to state positively; to aver; to asseverate.

noun

• Logic) a proposition that is accepted as true in order to provide a basis for logical reasoning.
  • synonyms: posit

verb

• Maintain or assert.
  • usage: "He contended that Communism had no future"
  • synonyms: contend
• Take as a given; assume as a postulate or axiom.
  • usage: "He posited three basic laws of nature"
  • synonyms: posit
• Require as useful, just, or proper.
  • usage: "It takes nerve to do what she did"; "success usually requires hard work"; "This job asks a lot of patience and skill"; "This position demands a lot of personal sacrifice"; "This dinner calls for a spectacular dessert"; "This intervention does not postulate a patient's consent"
  • synonyms: necessitate, ask, need, require, take, involve, call for, demand

• (v.t.) To take without express consent; to assume.
• (n.) The enunciation of a self-evident problem, in distinction from an axiom, which is the enunciation of a self-evident theorem.
• (v.t.) To beg or assume without proof; as, to postulate conclusions.
• (v.t.) To invite earnestly; to solicit.
• (a.) Postulated.
• (n.) Something demanded or asserted; especially, a position or supposition assumed without proof or one which is considered as self-evident; a truth to which assent may be demanded or challenged, without argument or evidence.

In logic, is a proposition that is accepted as true in order to provide a basis for logical reasoning.