The optimality of induction as an axiomatization of arithmetic
From MaRDI portal
Publication:3661556
DOI10.2307/2273332zbMath0515.03018OpenAlexW2016916627MaRDI QIDQ3661556
Publication date: 1983
Published in: Journal of Symbolic Logic (Search for Journal in Brave)
Full work available at URL: https://hdl.handle.net/1813/6290
Related Items
Reflection algebras and conservation results for theories of iterated truth, A NOTE ON FRAGMENTS OF UNIFORM REFLECTION IN SECOND ORDER ARITHMETIC, Hyperarithmetical worm battles, Induction rules, reflection principles, and provably recursive functions, PREDICATIVITY THROUGH TRANSFINITE REFLECTION, Set-theoretic reflection is equivalent to induction over well-founded classes, Local reflection, definable elements and 1-provability, Unprovability of theorems of complexity theory in weak number theories, Parameter free induction and provably total computable functions, Proof Theoretic Analysis by Iterated Reflection, Uniform density in Lindenbaum algebras, Fragments of Arithmetic and true sentences, AXIOMATIZATION OF PROVABLE n-PROVABILITY, Fragments of arithmetic, The closed fragment of the interpretability logic of PRA with a constant for I\(\Sigma^1\)
Cites Work