Ideas of Achille Varzi, by Theme

[American, fl. 2003, Professor at Columbia University.]

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4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
Maybe set theory need not be well-founded
4. Formal Logic / G. Formal Mereology / 1. Mereology
Are there mereological atoms, and are all objects made of them?
There is something of which everything is part, but no null-thing which is part of everything
Mereology need not be nominalist, though it is often taken to be so
9. Objects / C. Structure of Objects / 5. Composition of an Object
'Composition is identity' says multitudes are the reality, loosely composing single things
9. Objects / C. Structure of Objects / 8. Parts of Objects / a. Parts of objects
Parts may or may not be attached, demarcated, arbitrary, material, extended, spatial or temporal
If 'part' is reflexive, then identity is a limit case of parthood
'Part' stands for a reflexive, antisymmetric and transitive relation
The parthood relation will help to define at least seven basic predicates
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
Sameness of parts won't guarantee identity if their arrangement matters
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / b. Conceivable but impossible
Conceivability may indicate possibility, but literary fantasy does not