Abstract
The questions for this chapter are: what does the intuitionistic proof relation mean? and what system of constructive reasoning is required for defining and manipulating this relation? I shall discuss attempts to answer these questions by Kleene, Gödel, Kreisel, Goodman, Scott and Martin-Löf; I shall explain why I find none of their systems entirely satisfactory; and I shall sketch informally the ingredients that an adequate theory answering these questions should contain.
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© 1998 Springer Science+Business Media Dordrecht
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Fletcher, P. (1998). Theories of Constructions. In: Truth, Proof and Infinity. Synthese Library, vol 276. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-3616-9_8
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DOI: https://doi.org/10.1007/978-94-017-3616-9_8
Publisher Name: Springer, Dordrecht
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