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Single Idea 17427

[filed under theme 6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / d. Counting via concepts ]

Full Idea

Frege's proposal can be isolation as discreteness, i.e. absence of overlap, between the objects counted; and isolation as drawing of conceptual boundaries.

Gist of Idea

Frege's 'isolation' could be absence of overlap, or drawing conceptual boundaries

Source

report of Gottlob Frege (Grundlagen der Arithmetik (Foundations) [1884]) by Kathrin Koslicki - Isolation and Non-arbitrary Division 1

Book Ref

-: 'Synthese' [-], p.405

Related Ideas

Idea 17426 A concept creating a unit must isolate and unify what falls under it [Frege]

Idea 17433 We can still count squares, even if they overlap [Koslicki]