What is recorded here?
Used the constructible universe to establish that adjoining choice and the generalized continuum hypothesis preserves consistency relative to the underlying set theory. The 1938 notice states the theorem and its proof strategy.
Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.
Scientific scope
The conclusion assumes consistency of the base theory; it neither proves that base theory consistent nor establishes the continuum hypothesis as an unconditional truth. The original formulation starts with von Neumann’s system without choice and explicitly extends to other set-theoretic formulations. This short notice is not the complete later proof. WRS inspected the statement and qualification, not a formal derivation.
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People and systems
Kurt Gödel
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English catalogue narrative
Gödel: relative consistency of choice and the generalized continuum hypothesis
Used the constructible universe to establish that adjoining choice and the generalized continuum hypothesis preserves consistency relative to the underlying set theory. The 1938 notice states the theorem and its proof strategy.
Scientific scope
The conclusion assumes consistency of the base theory; it neither proves that base theory consistent nor establishes the continuum hypothesis as an unconditional truth. The original formulation starts with von Neumann’s system without choice and explicitly extends to other set-theoretic formulations. This short notice is not the complete later proof. WRS inspected the statement and qualification, not a formal derivation.
Reading status
This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.
People and systems
Kurt Gödel
Listed source contributors; individual labor shares are not measured