Classical arithmetic as part of intuitionistic arithmetic
Grazer Philosophische Studien 55:127-41 (1998)
| Abstract | Argues that classical arithmetic can be viewed as a proper part of intuitionistic arithmetic. Suggests that this largely neutralizes Dummett's argument for intuitionism in the case of arithmetic. | |||||||||
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Daniel Dzierzgowski (1995). Models of Intuitionistic TT and N. Journal of Symbolic Logic 60 (2):640-653.
Victor N. Krivtsov (2000). A Negationless Interpretation of Intuitionistic Theories. II. Studia Logica 65 (2):155-179.
Leon Horsten (1998). In Defense of Epistemic Arithmetic. Synthese 116 (1):1-25.
Zlatan Damnjanovic (1995). Minimal Realizability of Intuitionistic Arithmetic and Elementary Analysis. Journal of Symbolic Logic 60 (4):1208-1241.
Nicolas D. Goodman (1984). Epistemic Arithmetic is a Conservative Extension of Intuitionistic Arithmetic. Journal of Symbolic Logic 49 (1):192-203.
Kai F. Wehmeier (1996). Classical and Intuitionistic Models of Arithmetic. Notre Dame Journal of Formal Logic 37 (3):452-461.
Jeremy Avigad & Jeffrey Helzner (2002). Transfer Principles in Nonstandard Intuitionistic Arithmetic. Archive for Mathematical Logic 41 (6):581-602.
Ulrich Kohlenbach (1999). A Note on Goodman's Theorem. Studia Logica 63 (1):1-5.
Alistair H. Lachlan & Robert I. Soare (1994). Models of Arithmetic and Upper Bounds for Arithmetic Sets. Journal of Symbolic Logic 59 (3):977-983.
Jeremy Avigad (2000). Interpreting Classical Theories in Constructive Ones. Journal of Symbolic Logic 65 (4):1785-1812.
J. Michael Dunn (1979). Relevant Robinson's Arithmetic. Studia Logica 38 (4):407 - 418.
Victor N. Krivtsov (2000). A Negationless Interpretation of Intuitionistic Theories. I. Studia Logica 64 (3):323-344.
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