Combining Texts

All the ideas for 'Frege's Theory of Numbers', 'Epistemic and Metaphysical Possibility' and 'Rechnungsmethoden (dissertation)'

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4 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
Quantity is inconceivable without the idea of addition [Frege]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck]
6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics
Geometry appeals to intuition as the source of its axioms [Frege]
10. Modality / A. Necessity / 6. Logical Necessity
Logical necessity is epistemic necessity, which is the old notion of a priori [Edgington, by McFetridge]