Toward Finitist Proof Theory
| Abstract | This is a summary of developments analysed in my (1997A). A first version of that paper was presented at the workshop Modern Mathematical Thought in Pittsburgh (September 21-24, 1995). | |||||||||
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Matthias Schirn & Karl-Georg Niebergall (2001). Extensions of the Finitist Point of View. History and Philosophy of Logic 22 (3):135-161.
David J. Pym (2004). Reductive Logic and Proof-Search: Proof Theory, Semantics, and Control. Oxford University Press.
Peter Aczel, Harold Simmons & S. S. Wainer (eds.) (1992). Proof Theory: A Selection of Papers From the Leeds Proof Theory Programme, 1990. Cambridge University Press.
Wilfried Sieg (1984). Foundations for Analysis and Proof Theory. Synthese 60 (2):159 - 200.
Thomas Hofweber (2000). Proof-Theoretic Reduction as a Philosopher's Tool. Erkenntnis 53 (1-2):127-146.
Wilfried Sieg (1999). Hilbert's Programs: 1917-1922. Bulletin of Symbolic Logic 5 (1):1-44.
Andrew Aberdein (2006). Proofs and Rebuttals: Applying Stephen Toulmin's Layout of Arguments to Mathematical Proof. In Marta Bílková & Ondřej Tomala (eds.), The Logica Yearbook 2005. Filosofia.
Carlo Cellucci (2008). Why Proof? What is a Proof? In Giovanna Corsi & Rossella Lupacchini (eds.), Deduction, Computation, Experiment. Exploring the Effectiveness of Proof, pp. 1-27. Springer.
A. Kino, John Myhill & Richard Eugene Vesley (eds.) (1970). Intuitionism and Proof Theory. Amsterdam,North-Holland Pub. Co..
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