Single Idea 17890

[catalogued under 6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity]

Full Idea

Some of the standard large cardinals (in order of increasing (logical) strength) are: inaccessible, Mahlo, weakly compact, indescribable, Erdös, measurable, strong, Wodin, supercompact, huge etc. (...and ineffable).

Gist of Idea

There are at least eleven types of large cardinal, of increasing logical strength

Source

Peter Koellner (On the Question of Absolute Undecidability [2006], 1.4)

Book Reference

-: 'Philosophia Mathematica' [-], p.10


A Reaction

[I don't understand how cardinals can have 'logical strength', but I pass it on anyway]