axiomatization love

Definitions

from Wiktionary, Creative Commons Attribution/Share-Alike License.

  • noun The act of making axiomatic.
  • noun The act or process of establishing a concept within a system of axioms.
  • noun The result of establishing a concept within a system of axioms; axiomatic system.

Etymologies

Sorry, no etymologies found.

Examples

  • This reflects changes within math itself, where formal axiomatization is now out of fashion and things like computer simulation are much more used.

    Memetic Suicide, Bryan Caplan | EconLog | Library of Economics and Liberty

  • There were efforts — by Peano and so on — to come up with definitive axiomatization of mathematics.

    Wolfram Blog : Stephen Wolfram on the Quest for Computable Knowledge

  • Powers: first axiomatization of logic; knowledge of eternal, immaterial entities

    July 5th, 2007

  • Not only did he anticipate Heisenberg's Uncertainty Principle, and set out a finite axiomatization of arithmetic before Peano did, and the basis axiomatic set theory before Zermelo did, but also his notation and terminology were readable and suggestive, giving future logicians a better language to work in than the clunky terms of the Germans.

    Pragmatic inquiry

  • On the other hand one was familiar with Hilbert's axiomatization of geometry which, although rigorous, did not have the character of artificiality of the constructive theories.

    Mathematical Style

  • The axiomatization of theories has modified very deeply the style of contemporary mathematical writings.

    Mathematical Style

  • Another example mentioned by Chevalley is the axiomatization of field theory given by Steinitz in 1910.

    Mathematical Style

  • According to Huntington (1933), the term “Boolean algebra” was introduced by Sheffer (1913) in the paper where he showed that one could give a five-equation axiomatization of Boolean algebra using the single fundamental operation of joint exclusion, now known as the Sheffer stroke.

    The Algebra of Logic Tradition

  • Yet a fourth response was embodied in Ernst Zermelo's 1908 axiomatization of set theory.

    Russell's Paradox

  • Let T be a standard, first-order axiomatization of set theory.

    Skolem's Paradox

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