Sentence examples for set theorist from inspiring English sources

To take just one example, consider the set theorist's axiom of extensionality: For any sets A and B, if A and B have the same members, then A is the same set as B. Let A be David's unit set and let B be Lump's unit set.

If sets are abstract, then the set theorist must say that the gold is abstract.

Many of the problems which beset the set theorist confront the Pluralists as well.

It seems that the famous set theorist Paul Cohen held some such view (Cohen 1971).

But if the set theorist has to paraphrase their paraphrase, then there is considerable pressure for the set theorist to instead switch over to the stuff-as-plurals view (section 2.4) and just talk directly about the members.

So, the set theorist has a problem with non-atomic or fuzzy atomless stuffs (see 2.1 for terminology).

Early set theorists and several contemporary metaphysicians reject the empty set.

But few set theorists today will want to adopt this aspect of Dedekind's approach.

That is, set theorists should be assessing the new axiom candidates with one eye on the latest developments in physics.

Contemporary set theorists spin this amazing structure from the empty set so as to not assume the existence of contingent beings.

Set theorists, topologists, analysts et al. entertain conjectures, and try to prove things 'about' sets, topological spaces, functions on the complex numbers and so on.