Axiomnoun
(philosophy) A seemingly self-evident or necessary truth which is based on assumption; a principle or proposition which cannot actually be proved or disproved.
Axiomnoun
A fundamental assumption that serves as a basis for deduction of theorems; a postulate (sometimes distinguished from postulates as being universally applicable, whereas postulates are particular to a certain science or context).
Axiomnoun
An established principle in some artistic practice or science that is universally received.
Axiomnoun
A self-evident and necessary truth, or a proposition whose truth is so evident as first sight that no reasoning or demonstration can make it plainer; a proposition which it is necessary to take for granted; as, "The whole is greater than a part;" "A thing can not, at the same time, be and not be."
Axiomnoun
An established principle in some art or science, which, though not a necessary truth, is universally received; as, the axioms of political economy.
Axiomnoun
a saying that widely accepted on its own merits
Axiomnoun
(logic) a proposition that is not susceptible of proof or disproof; its truth is assumed to be self-evident
Axiomnoun
a statement or proposition which is regarded as being established, accepted, or self-evidently true
Axiomnoun
a statement or proposition on which an abstractly defined structure is based.
Axiom
An axiom, postulate or assumption is a statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments. The word comes from the Greek axíōma (ἀξίωμα) 'that which is thought worthy or fit' or 'that which commends itself as evident.'The term has subtle differences in definition when used in the context of different fields of study.
Postulatenoun
Something assumed without proof as being self-evident or generally accepted, especially when used as a basis for an argument. Sometimes distinguished from axioms as being relevant to a particular science or context, rather than universally true, and following from other axioms rather than being an absolute assumption.
Postulatenoun
A fundamental element; a basic principle.
Postulatenoun
(logic) An axiom.
Postulatenoun
A requirement; a prerequisite.
Postulateadjective
Postulated.
Postulateverb
To assume as a truthful or accurate premise or axiom, especially as a basis of an argument.
Postulateverb
To appoint or request one's appointment to an ecclesiastical office.
Postulateverb
To request, demand or claim for oneself.
Postulatenoun
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.
Postulatenoun
The enunciation of a self-evident problem, in distinction from an axiom, which is the enunciation of a self-evident theorem.
Postulateadjective
Postulated.
Postulateverb
To beg, or assume without proof; as, to postulate conclusions.
Postulateverb
To take without express consent; to assume.
Postulateverb
To invite earnestly; to solicit.
Postulatenoun
(logic) a proposition that is accepted as true in order to provide a basis for logical reasoning
Postulateverb
maintain or assert;
Postulateverb
take as a given; assume as a postulate or axiom;
Postulateverb
require as useful, just, or proper;
Postulateverb
suggest or assume the existence, fact, or truth of (something) as a basis for reasoning, discussion, or belief
Postulateverb
(in ecclesiastical law) nominate or elect (someone) to an ecclesiastical office subject to the sanction of a higher authority
Postulatenoun
a thing suggested or assumed as true as the basis for reasoning, discussion, or belief
Postulatenoun
an assumption used as a basis for mathematical reasoning.