An unfinitizability proof by means of restricted reduced power
Andrzej Grzegorczyk (1971)
Fundamenta Mathematicae
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Andrzej Grzegorczyk (1971)
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Z. Ratajczyk (1989)
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Andrzej Mostowski (1955)
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Zofia Adamowicz (1990)
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A. Troelstra (1975)
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Andrzej Mostowski (1947)
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Zofia Adamowicz, Leszek Aleksander Kołodziejczyk, Paweł Zbierski (2003)
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We define a recursive theory which axiomatizes a class of models of IΔ₀ + Ω ₃ + ¬ exp all of which share two features: firstly, the set of Δ₀ definable elements of the model is majorized by the set of elements definable by Δ₀ formulae of fixed complexity; secondly, Σ₁ truth about the model is recursively reducible to the set of true Σ₁ formulae of fixed complexity.
Andrzej Mostowski (1953)
Fundamenta Mathematicae
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S. Feferman (1960)
Fundamenta Mathematicae
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J. Shoenfield (1961)
Fundamenta Mathematicae
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Smullyan, Raymond M. (1984)
International Journal of Mathematics and Mathematical Sciences
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