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Single Idea 17424

[filed under theme 6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure ]

Full Idea

Counting is the activity of putting an initial segment of a serially ordered string in 1-1 correspondence with some other collection of entities.

Gist of Idea

Counting puts an initial segment of a serial ordering 1-1 with some other entities

Source

Jeffrey H. Sicha (Counting and the Natural Numbers [1968], 2)

Book Ref

-: 'Philosophy of Science' [-], p.407

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The 3 ideas from Jeffrey H. Sicha

17423

The essence of natural numbers must reflect all the functions they perform [Sicha]

17424

Counting puts an initial segment of a serial ordering 1-1 with some other entities [Sicha]

17425

To know how many, you need a numerical quantifier, as well as equinumerosity [Sicha]