Combining Texts

All the ideas for 'Universal Arithmetick', 'Deflationary Metaontology of Thomasson' and 'Notes on Comments by Fardella'

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5 ideas

6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / b. Greek arithmetic
A number is not a multitude, but a unified ratio between quantities [Newton]
9. Objects / A. Existence of Objects / 5. Individuation / e. Individuation by kind
No sortal could ever exactly pin down which set of particles count as this 'cup' [Schaffer,J]
9. Objects / B. Unity of Objects / 1. Unifying an Object / c. Unity as conceptual
To exist and be understood, a multitude must first be reduced to a unity [Leibniz]
9. Objects / B. Unity of Objects / 2. Substance / c. Types of substance
Substances are everywhere in matter, like points in a line [Leibniz]
9. Objects / F. Identity among Objects / 6. Identity between Objects
Identities can be true despite indeterminate reference, if true under all interpretations [Schaffer,J]