Radical anti-realism, Wittgenstein and the length of proofs
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[1] Dag Prawitz,et al. On the idea of a general proof theory , 1974, Synthese.
[2] D. Prawitz. Natural Deduction: A Proof-Theoretical Study , 1965 .
[3] Felix Mühlhölzer. "A Mathematical Proof Must Be Surveyable" What Wittgenstein Meant by This and What It Implies , 2006 .
[4] M. Dummett. Truth and other enigmas , 1978 .
[5] P. Pudlák. Chapter VIII - The Lengths of Proofs , 1998 .
[6] Stewart Shapiro,et al. The Oxford Handbook of Philosophy of Mathematics and Logic , 2005, Oxford handbooks in philosophy.
[7] A. Turing. On Computable Numbers, with an Application to the Entscheidungsproblem. , 1937 .
[8] Paolo Mancosu,et al. On Mathematical Explanation , 2000 .
[9] M. Marion. Wittgenstein, finitism, and the foundations of mathematics , 1998 .
[10] Jacques Dubucs,et al. Feasibility In Logic , 2002, Synthese.
[11] Jacques Dubucs,et al. On Bolzano’s Alleged Explicativism , 2004, Synthese.
[12] Alessandra Carbone,et al. Making proofs without Modus Ponens: An introduction to the combinatorics and complexity of cut elimination , 1996 .
[13] R. Gandy. Limitations to Mathematical Knowledge , 1982 .
[14] Alessandra Carbone,et al. Cycling in proofs and feasibility , 1999 .
[15] Armin Tatzel. Bolzano's Theory of Ground and Consequence , 2002, Notre Dame J. Formal Log..
[16] Martin D. Davis,et al. Why Gödel Didn't Have Church's Thesis , 1982, Inf. Control..
[17] Michael Mendler,et al. The NASA STI Program Office provides , 2000 .
[18] Peter Schroeder-Heister,et al. Validity Concepts in Proof-theoretic Semantics , 2006, Synthese.
[19] David S. Johnson,et al. Computers and Intractability: A Guide to the Theory of NP-Completeness , 1978 .
[20] C. Wright. Realism, Meaning, And Truth , 1987 .
[21] Dag Prawitz. Formulation des bétons autoplaçants : Optimisation du squelette granulaire par la méthode graphique de Dreux - Gorisse , 1974 .
[22] Rohit Parikh,et al. Existence and feasibility in arithmetic , 1971, Journal of Symbolic Logic.
[23] Dag Prawitz,et al. Meaning Approached Via Proofs , 2006, Synthese.
[24] Jean-Yves Girard. Light Linear Logic , 1994, LCC.
[25] Andrea Asperti,et al. Intuitionistic Light Affine Logic , 2002, TOCL.
[26] A. R. D. Mathias,et al. A Term of Length 4 523 659 424 929 , 2002, Synthese.
[27] J. Dubucs,et al. Radical Anti-Realism and Substructural Logics , 2003 .
[28] Daniel Leivant,et al. A Foundational Delineation of Poly-time , 1994, Inf. Comput..
[29] Martin Hofmann,et al. A New "Feasible" Arithmetic , 2002, J. Symb. Log..
[30] Interpreting Arithmetic : Russell on Applicability and Wittgenstein on Surveyability , 2007 .
[31] M. Dummett. The seas of language , 1993 .
[32] Dag Prawitz. Logical Consequence: A Constructivist View , 2005 .