Combining Texts

Ideas for 'Mereology', 'Introduction to Zermelo's 1930 paper' and 'On the Senses'

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7 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets

17833

The first-order ZF axiomatisation is highly non-categorical [Hallett,M]

17834

Non-categoricity reveals a sort of incompleteness, with sets existing that the axioms don't reveal [Hallett,M]

10653

Maybe set theory need not be well-founded [Varzi]

4. Formal Logic / F. Set Theory ST / 7. Natural Sets

17837

Zermelo allows ur-elements, to enable the widespread application of set-theory [Hallett,M]

4. Formal Logic / G. Formal Mereology / 1. Mereology

10648

Mereology need not be nominalist, though it is often taken to be so [Varzi]

10655

Are there mereological atoms, and are all objects made of them? [Varzi]

10659

There is something of which everything is part, but no null-thing which is part of everything [Varzi]