equinumerous

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 Linsky, Bernard 2009

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 gerard varni 2009

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 Zalta, Edward N. 2009

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

Logical Constructions Linsky, Bernard 2009

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

Frege's Logic, Theorem, and Foundations for Arithmetic Zalta, Edward N. 2009

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 Papineau, David 2007

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 Wilson, Fred 2007

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 2009

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

Planet Perl 2009

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

Nicole Oresme Kirschner, Stefan 2009