Ideas from 'Isolation and Non-arbitrary Division' by Kathrin Koslicki [1997], by Theme Structure

[found in 'Synthese' (ed/tr -) [- ,]].

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6. Mathematics / A. Nature of Mathematics / 3. Numbers / o. Units
Objects do not naturally form countable units
6. Mathematics / A. Nature of Mathematics / 3. Numbers / p. Counting
There is no deep reason why we count carrots but not asparagus
Frege's 'isolation' could be absence of overlap, or drawing conceptual boundaries
We can still count squares, even if they overlap
We struggle to count branches and waves because our concepts lack clear boundaries
7. Existence / C. Structure of Existence / 8. Stuff / a. Pure stuff
We talk of snow as what stays the same, when it is a heap or drift or expanse