Postulate

Postulate

(αἴτημα, postulatum, that which is asked or assumed to prove something else). "According to some, the difference between axioms and postulates is analogous to that between theorems and problems: the former expressing truths which are self-evident, and from which other propositions may be deduced; the latter, operations which may easily be performed, and by the help of which more difficult constructions may be effected." There is a difference between a postulate and a hypothesis. When you lay down something which may be, although you have not proved it, and which is admitted by the learner or the disputant, you make a hypothesis. The postulate, not being assented to, may be contested during the discussion, and is only established by its conformity with all other ideas on the subject.

 
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