为您找到"
axioms
"相关结果约100,000,000个
An axiom is a statement that is taken to be true or self-evident for further reasoning and arguments. Learn about the origin, meaning and classification of axioms in philosophy, logic and mathematics.
A comprehensive list of axioms in mathematics, organized by topic and system. Learn the definitions, properties and applications of various axioms in set theory, logic, geometry, analysis and more.
Learn the meaning of axiom, a statement or rule that is accepted as true without proof, and see examples of its usage in mathematics, logic, and philosophy. Find synonyms, word history, and related phrases for axiom.
An axiom is a statement or principle that is generally accepted to be true, or a formal statement in mathematics, science, etc., from which other statements can be obtained. Learn more about the meaning, usage and pronunciation of axiom, and see examples and translations in different languages.
Learn the definitions and examples of axioms, theorems, postulates, assumptions, conjectures, hypotheses, and proofs in mathematics. Explore the language of logic and deduction used to build mathematical knowledge.
An axiom is a statement that is assumed to be true without proof and used as a starting point for logic or mathematics. Learn about the history, types and examples of axioms, such as Euclid's axioms and the axiom of choice.
In modern times, mathematicians have often used the words postulate and axiom as synonyms. Some recommend that the term axiom be reserved for the axioms of logic and postulate for those assumptions or first principles beyond the principles of logic by which a particular mathematical discipline is defined. Compare theorem.
Learn what an axiom is, how it differs from a theorem, and how it is used in mathematics. See examples of axioms in geometry, algebra, and logic, and their pictorial representation.
Learn what axioms are, why they are important, and the different types of axioms that exist in mathematics. See examples of axioms in number theory, geometry, and set theory.
An axiom is a statement that mathematicians assume to be true. Choosing to assume different axioms leads to different systems of mathematical logic and to different theorems being provable.. For example, the statement for real numbers and is an axiom (one of the field axioms of real numbers).However, this statement does not hold true for any objects; for matrices, not only is this not an axiom ...