Annals of Pure and Applied Logic 82 (2):193-219 (1996)
| Abstract |
The aim of this article is to give the proof-theoretic analysis of various subsystems of Feferman's theory T1 for explicit mathematics which contain the non-constructive μ-operator and join. We make use of standard proof-theoretic techniques such as cut-elimination of appropriate semiformal systems and asymmetrical interpretations in standard structures for explicit mathematics.
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| DOI | 10.1016/s0168-0072(96)00005-x |
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References found in this work BETA
Hilbert's Program Relativized: Proof-Theoretical and Foundational Reductions.Solomon Feferman - 1988 - Journal of Symbolic Logic 53 (2):364-384.
A Language and Axioms for Explicit Mathematics.Solomon Feferman, J. N. Crossley, Maurice Boffa, Dirk van Dalen & Kenneth Mcaloon - 1984 - Journal of Symbolic Logic 49 (1):308-311.
A Well-Ordering Proof for Feferman's theoryT 0.Gerhard Jäger - 1983 - Archive for Mathematical Logic 23 (1):65-77.
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Citations of this work BETA
The Unfolding of Non-Finitist Arithmetic.Solomon Feferman & Thomas Strahm - 2000 - Annals of Pure and Applied Logic 104 (1-3):75-96.
Universes Over Frege Structures.Reinhard Kahle - 2003 - Annals of Pure and Applied Logic 119 (1-3):191-223.
Unifying the Philosophy of Truth.Theodora Achourioti, Henri Galinon, José Martínez Fernández & Kentaro Fujimoto (eds.) - 2015 - Dordrecht, Netherland: Springer.
Truth, Pretense and the Liar Paradox.Bradley Armour-Garb & James A. Woodbridge - 2015 - In Kentaro Fujimoto, José Martínez Fernández, Henri Galinon & Theodora Achourioti (eds.), Unifying the Philosophy of Truth. Springer Verlag. pp. 339-354.
The [Mathematical Formula] Quantification Operator in Explicit Mathematics with Universes and Iterated Fixed Point Theories with Ordinals.Markus Marzetta & Thomas Strahm - 1997 - Archive for Mathematical Logic 36 (6):391-413.
View all 10 citations / Add more citations
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