Continuum Hypothesis

Cohen's independence and Woodin's program.

field tier

Continuum Hypothesis. Cohen’s independence and Woodin’s program.

Foundations and canonical references

The standard treatments of continuum hypothesis approach the subject from complementary angles. Jech, Set Theory (2003) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to. Gödel, The Consistency of the Continuum Hypothesis (1940) provides historical context and an early systematic exposition of the material.

Open methodological questions for continuum hypothesis 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 · 2003
    Set Theory
    jech-2003
  • textbook · historical · 1940
    The Consistency of the Continuum Hypothesis
    godel-1940

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