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Single Idea 17425

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

Full Idea

A knowledge of 'how many' cannot be inferred from the equinumerosity of two collections; a numerical quantifier statement is needed.

Clarification

'There are two' is a numerical quantifier

Gist of Idea

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

Source

Jeffrey H. Sicha (Counting and the Natural Numbers [1968], 3)

Book Ref

-: 'Philosophy of Science' [-], p.410

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The 3 ideas from 'Counting and the Natural Numbers'

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]