Definitions

from Wiktionary, Creative Commons Attribution/Share-Alike License

  • adj. Having equal cardinality.

Etymologies

Sorry, no etymologies found.

Examples

  • In the first example, we have two concepts that are equinumerous:

    Frege's Logic, Theorem, and Foundations for Arithmetic

  • The number of Fs is identical to the number of Gs if and only if F and G are equinumerous.

    Frege's Logic, Theorem, and Foundations for Arithmetic

  • Instead numbers were to be defined as classes of equinumerous classes.

    Logical Constructions

  • Examples he cited were the Frege/Russell definition of numbers as classes of equinumerous classes, the theory of definite descriptions, the construction of matter from sense data, and several others.

    Logical Constructions

  • For Bolzano, equipollence and “having exactly the same kind of construction” (die ganz gleiche Entstehungsart haben) are taken together as a sufficient condition for infinite sets being equinumerous or having the same cardinal number.

    Slices of Matisse

  • Crispin Wright's ˜neo-Fregean™ programme shows how Peano's postulates can be derived within the framework of second-order logic from nothing except the Humean principle that the same number attaches to equinumerous concepts.

    Naturalism

  • This brings him close to Frege's idea that the number of a given class is the class of all classes equinumerous to that given class.

    John Stuart Mill

  • In this problem, which has historically been presented as concerning "marriage", there are two disjoint equinumerous sets, which we may call "men" and "women".

    The Universe of Discourse

  • Oresme's proof is somewhat reminiscent of Georg Cantor's (1845 “ 1918) demonstration that certain infinite sets are equinumerous.

    Nicole Oresme

  • If numbers are supposed to be identical if and only if the concepts they are numbers of are equinumerous, what guarantee do we have that every concept has a number? p253)

    The Analytic/Synthetic Distinction

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