axiomaticˌæk si əˈmæt ɪk
axiomatic, self-evident, taken for granted(p) (adj)
evident without proof or argument
"an axiomatic truth"; "we hold these truths to be self-evident"
axiomatic, aphoristic (adj)
containing aphorisms or maxims
axiomatic, axiomatical, postulational (adj)
of or relating to or derived from axioms
"axiomatic physics"; "the postulational method was applied to geometry"- S.S.Stevens
Evident without proof or argument.
Of or pertaining to an axiom.
Axiomatic is the third studio album by Australian rock band Taxiride, released in September, 2005. Three singles were taken from this album, "Oh Yeah", "You Gotta Help Me" and "What Can I Say". Taxiride made it clear in interviews leading up to the release of this album that they would be breaking away from the radio-friendly pop-rock sound of their two previous albums, and instead they would adopt a more hard-rock feel. Unfortunately for the band this new musical style virtually alienated their entire fan base, as the album did not even make the top 50 chart in Australia, peaking at a dire no. 91 in September 2005, where their two previous albums made the top five. Singer-songwriter Chris Bailey, from the Australian punk rock band, The Saints, co-wrote the song 'Everything + Nothing', also featured on their live album Electrophobia. Axiomatic was released in Australia, Japan, India and South East Asia.
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 Ancient Greek word ἀξίωμα (axíōma), meaning 'that which is thought worthy or fit' or 'that which commends itself as evident'.The precise definition varies across fields of study. In classic philosophy, an axiom is a statement that is so evident or well-established, that it is accepted without controversy or question. In modern logic, an axiom is a premise or starting point for reasoning.In mathematics, an axiom may be a "logical axiom" or a "non-logical axioms". Logical axioms are taken to be true within the system of logic they define and are often shown in symbolic form (e.g., (A and B) implies A), while non-logical axioms (e.g., a + b = b + a) are substantive assertions about the elements of the domain of a specific mathematical theory, such as arithmetic. Non-logical axioms may also be called "postulates" or "assumptions". In most cases, a non-logical axiom is simply a formal logical expression used in deduction to build a mathematical theory, and might or might not be self-evident in nature (e.g., the parallel postulate in Euclidean geometry). To axiomatize a system of knowledge is to show that its claims can be derived from a small, well-understood set of sentences (the axioms), and there are typically many ways to axiomatize a given mathematical domain. Any axiom is a statement that serves as a starting point from which other statements are logically derived. Whether it is meaningful (and, if so, what it means) for an axiom to be "true" is a subject of debate in the philosophy of mathematics.
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