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Ultimate L


Ultimate L is a canonical inner model program proposed by Woodin (2017) for accommodating very strong large cardinals. It is intended to extend Gödel's constructible universe L beyond the range of currently constructed fine-structural inner models while retaining a comparably rigid theory.

Ultimate L is a program and conjectural model rather than a completed construction in the full proposed generality. Its proposed existence and relation to the set-theoretic universe are formulated in the Ultimate L conjecture.


See also

Cardinal Number, Model Theory, Ultimate L Conjecture

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References

Woodin, W. H. "In Search of Ultimate-L: The 19th Midrasha Mathematicae Lectures." Bull. Symb. Logic 23, 1-109, 2017. https://doi.org/10.1017/bsl.2016.34.

Cite this as:

Weisstein, Eric W. "Ultimate L." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/UltimateL.html

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