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Formula vs Axiom - What's the difference?

formula | axiom | Related terms |

Formula is a related term of axiom.


As nouns the difference between formula and axiom

is that formula is formula while axiom is axiom.

formula

English

Noun

(wikipedia formula)
  • (mathematics) Any mathematical rule expressed symbolically.
  • x = \frac {-b \pm \sqrt{b^2 - 4ac}}{2a} is a formula for finding the roots of the quadratic equation ax2 + bx + c = 0 .
  • (chemistry) A symbolic expression of the structure of a compound.
  • H2O is the formula for water (Dihydrogen monoxide)
  • a plan or method for dealing with a problem or for achieving a result
  • The company's winning formula includes excellent service and quality products.
  • A formulation; a prescription; a mixture or solution made in a prescribed manner; the identity and quantities of ingredients of such a mixture.
  • The formula of the rocket fuel has not been revealed.
  • Drink given to babies to substitute for mother's milk.
  • (logic) A syntactic expression of a proposition, built up from quantifiers, logical connectives, variables, relation and operation symbols, and, depending on the type of logic, possibly other operators such as modal, temporal, deontic or epistemic ones.
  • Synonyms

    * (in mathematics) mathematical formula * (in chemistry) chemical formula

    Hyponyms

    * (logic) sentence

    Derived terms

    * (l) * formulate * formulation * Formula One * formula racing * multiformula

    axiom

    English

    (wikipedia axiom)

    Noun

  • (en noun); also axiomata (though, becoming less common and sometimes considered archaic)
  • (philosophy) A seemingly which cannot actually be proved or disproved.
  • * '>citation
  • (mathematics, logic, proof theory) A fundamental of theorems. Examples: "Through a pair of distinct points there passes exactly one straight line", "All right angles are congruent".
  • *
  • The axioms read as follows. For every composable pair f'' and ''g'' the composite f \circ g goes from the domain of ''g'' to the codomain of ''f''. For each object ''A'' the identity arrow 1_A goes from ''A'' to ''A . Composing any arrow with an identity arrow (supposing that the two are composable) gives the original arrow. And composition is associative.
  • An established principle in some artistic practice or science that is universally received.
  • The axioms of political economy cannot be considered absolute truths.

    Synonyms

    * (now rare)

    Hypernyms

    * (in logic) well-formed formula, wff, WFF

    Hyponyms

    * (in mathematics) * (in mathematics) * (in mathematics)

    Holonyms

    * (in logic) formal system

    Derived terms

    *

    See also

    (other terms of interest) * conjecture * corollary * demonstration * hypothesis * law * lemma * porism * postulate * premise * principle * proof * proposition * theorem * theory * truism