What does axiomatically mean?

Definitions for axiomatically
ax·iomat·i·cal·ly

This dictionary definitions page includes all the possible meanings, example usage and translations of the word axiomatically.

Princeton's WordNet

  1. axiomaticallyadverb

    on the basis of axioms

    "this is axiomatically given"

Wiktionary

  1. axiomaticallyadverb

    By the use of axioms; in the form of an axiom.

Wikipedia

  1. axiomatically

    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.

ChatGPT

  1. axiomatically

    Axiomatically refers to something that is done or established in a way that is accepted as self-evidently true or universally acknowledged, without requiring any justification or proof, in line with the principles or rules of an axiomatic system. It is often used in logical, mathematical, and philosophical contexts.

Webster Dictionary

  1. Axiomaticallyadverb

    by the use of axioms; in the form of an axiom

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Numerology

  1. Chaldean Numerology

    The numerical value of axiomatically in Chaldean Numerology is: 8

  2. Pythagorean Numerology

    The numerical value of axiomatically in Pythagorean Numerology is: 1

Popularity rank by frequency of use

axiomatically#100000#298580#333333

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"axiomatically." Definitions.net. STANDS4 LLC, 2024. Web. 23 Dec. 2024. <https://www.definitions.net/definition/axiomatically>.

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