axiom

listen to the pronunciation of axiom
Englisch - Türkisch
belit
aksiyom
İnsanlar tarafından yaygın bir şekilde doğru olarak kabul edilen bir yargı ya da düşünce. Kendiliğinden apaçık ve bundan dolayı öteki önermelerin on dayanağı sayılan temel önerme, mütearife, aksiyom
(Askeri) BELİT; AKSİYOM
axiom of choice
(Matematik) seçme beliti
comparison axiom
karşılaştırma aksiyomu
distributive axiom
dağılma aksiyomu
ordering axiom
sıralama aksiyomu
comparison axiom
(Matematik) karşılaştırma belgiti
distributive axiom
(Matematik) dağılma belgiti
euclid's parallel axiom
(Geometri) öklit koşutluk beliti
Englisch - Englisch
A self-evident and necessary truth; a proposition which it is necessary to take for granted; a proposition whose truth is so evident that no reasoning or demonstration can make it plainer
An established principle in some art or science that is universally received
A fundamental theorem that serves as a basis for deduction of other theorems. E.g., "A point has no mass; a line has no width. A plane is a flat surface with no mass and contains an infinity of points and lines"
{n} a selfevident proposition or truth
An axiom is a statement or idea which people accept as being true. the long-held axiom that education leads to higher income. = principle. a rule or principle that is generally considered to be true (axioma, from , , from axios ). In mathematics or logic, an unprovable rule or first principle accepted as true because it is self-evident or particularly useful (e.g., "Nothing can both be and not be at the same time and in the same respect"). The term is often used interchangeably with postulate, though the latter term is sometimes reserved for mathematical applications (such as the postulates of Euclidean geometry). It should be contrasted with a theorem, which requires a rigorous proof
An unproved theorem that serves as a basis for deduction of other theorems
A basic assumption underlying a theory or branch of mathematics
a statement assumed to be true without need of proof
a saying that widely accepted on its own merits
A proposition formally accepted without demonstration, proof, or evidence as one of the starting-points for the systematic derivation of an organized body of knowledge Also see OCP, BGHT, ColE, noesis, and MacE
In the study of logic and argument, a statement (premise) assumed true without proof A postulate
"A thing can not, at the same time, be and not be
A basic assumption about a mathematical system from which theorems can be deduced For example, the system could be the points and lines in the plane Then an axiom would be that given any two distinct points in the plane, there is a unique line through them
" An established principle in some art or science, which, though not a necessary truth, is universally received; as, the axioms of political economy
A self-evident or universally recognized principle that is accepted as true without proof as the basis for argument; i e a maxim
{i} premise, basic assumption, truism, recognized truth
A statement assumed to be true without the need for proof
Axioms are the limits placed on a reality They can range from 0 to 33 When trying to do something from a higher axiom in a reality that cannot support it, then a contradiction is caused Axioms come in four categories: Technological, Social, Magic, and Spiritual
A statement that is accepted without proof
Genus: Statement Differentia: An irreducible primary that is logically undeniable Link: Article
An assumption that cannot be rigorously proved to be true, but seems to be true from experience or observation
A symbolic algebra system, featuring a high level graphical user interface in front of a knowledge based core A complete hypertext users' guide is included; from Numerical Algorithms Group
Logical condition constraining the behaviour of an object May be expressed as an invariant, or as a precondition or postcondition on one of the object's methods
A self-evident and necessary truth; a proposition which it is necessary to take for granted; a proposition whose truth is so evident that no reasoning or demonstration can make it plainer. For example, "The whole is greater than a part
An established rule or principle or a self-evident (obvious) truth
A self-evident proposition; a statement that needs no proof because its truth is considered obvious
An established principle in some art or science, which, though not a necessary truth, is universally received; as, the axioms of political economy
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 proposition regarded as self-evident or true
Strictly speaking, an axiom is one of a set of fundamental formulas that one starts with to prove theorems by deduction In CYC®, the axioms are those formulas that have been locally asserted into the CYC® KB CYC® axioms are well-formed CYC® formulas, since the system won't let you add formulas to CYC® that are not well-formed However, not all well-formed CYC® formulas are axioms, since not all of them are actually in the KB And some of the formulas in the KB are not, strictly speaking, axioms, since they were added to the KB via inference, instead of being locally asserted In informal usage, though, Cyclists don't always adhere to the strict meaning of axiom, and may refer to a formula they are considering adding to the KB or have recently removed from the KB as an axiom Axiom is also the name of one of the internal KB data structure types
A statement which is accepted as a basis for further logical argument Generally axioms are self-evident truths or principles which are basic enough that there are no principles more basic from which to prove them
(postulate) In a mathematical or logical system, an initial proposition or statement that is accepted as true without proof and from which further statements, or theorems, can be derived In a mathematical proof, the axioms are often well-known formulae for which the proof has already been established
(logic) a proposition that is not susceptible of proof or disproof; its truth is assumed to be self-evident
a statement that is given or generally held to be true
n A self-evident or universally recognized truth maxim An established rule, principle or law
axiom of choice
One of the axioms in axiomatic set theory, equivalent to the statement that an arbitrary direct product of non-empty sets is non-empty
axiom schema
A formula in the language of an axiomatic system, in which one or more schematic variables appear, which stand for any term or subformula of the system, which may or may not be required to satisfy certain conditions
axiom schemata
plural form of axiom schema
axiom scheme
A formula in the language of an axiomatic system, in which one or more schematic variables appear, which stand for any term or subformula of the system, which may or may not be required to satisfy certain conditions
axiom schemes
plural form of axiom scheme
axiom system
A set of axioms or axiom schemata from which theorems can be derived
completeness axiom
The following axiom (applied to an ordered field): for any subset of the given ordered field, if there is any upper bound for this subset, then there is also a supremum for this subset, and this supremum is an element of the given ordered field (though not necessarily of the subset)
An axiom
postulate
axioms
a maxim widely accepted on its intrinsic merit; a statement accepted as true as the basis for argument or inference; an established rule or principle or a self-evident truth
axioms
statements of natural laws on the order of those of the physical sciences
axioms
Wffs that are stipulated as unproved premises for the proof of other wffs inside a formal system
axioms
propositions selected as the foundations of a field - classically geometry - which, together with methods of proof, allow other propositions to be proved in an ordered way The axiomatic method has powerfully influenced philosophy, although each feature of the method has been criticized as inappropriate for philosophy
axioms
plural of axiom
axiom
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