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Single Idea 17433

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

Full Idea

The fact that there is overlap does not seem to inhibit our ability to count squares.

Gist of Idea

We can still count squares, even if they overlap

Source

Kathrin Koslicki (Isolation and Non-arbitrary Division [1997], 2.2)

Book Ref

-: 'Synthese' [-], p.411


A Reaction

She has a diagram of three squares overlapping slightly at their corners. Contrary to Frege, these seems to depend on a subliminal concept of the square that doesn't depend on language.

Related Idea

Idea 17427 Frege's 'isolation' could be absence of overlap, or drawing conceptual boundaries [Frege, by Koslicki]


The 5 ideas from 'Isolation and Non-arbitrary Division'

There is no deep reason why we count carrots but not asparagus [Koslicki]
Objects do not naturally form countable units [Koslicki]
We can still count squares, even if they overlap [Koslicki]
We struggle to count branches and waves because our concepts lack clear boundaries [Koslicki]
We talk of snow as what stays the same, when it is a heap or drift or expanse [Koslicki]