Large Cardinals
Inaccessible, measurable, supercompact, and Woodin cardinals.
Large Cardinals. Inaccessible, measurable, supercompact, and Woodin cardinals.
Foundations and canonical references
The standard treatments of large cardinals approach the subject from complementary angles. Kanamori, The Higher Infinite (2003) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to.
Open methodological questions for large cardinals include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- textbook · primary · 2003The Higher Infinitekanamori-2003
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