Combining Texts

All the ideas for 'Frege's Theory of Numbers', 'Substances without Substrata' and 'Counting and the Natural Numbers'

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5 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / d. Natural numbers
The essence of natural numbers must reflect all the functions they perform [Sicha]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
To know how many, you need a numerical quantifier, as well as equinumerosity [Sicha]
Counting puts an initial segment of a serial ordering 1-1 with some other entities [Sicha]
Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck]
19. Language / F. Communication / 6. Interpreting Language / c. Principle of charity
We translate in a way that makes the largest possible number of statements true [Wilson,NL]