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Brief introduction to unprovability
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by Andrey Bovykin
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MSc in Logic
– Willem M. Baartse - 2011
4
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– William Gasarch
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A classification of rapidly growing Ramsey functions
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6
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– Alberto Marcone - 1996
3
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– Lorenzo Carlucci - 2005
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1
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– Ulrich Berger, Monika Seisenberger
7
An intuitionistic proof of Kruskal's Theorem
– Wim Veldman, Wim Veldman, Subfaculteit Wiskunde - 2000
On the Independence of Goodstein's Theorem
– Justin T. Miller
A Glimpse at Veblen Hierarchies
– n.n.
Ways of Proof Theory
– n.n. - 2010
8
Does Mathematics Need New Axioms?
– Solomon Feferman - 1999
2
On Fraïssé’s conjecture for linear orders of finite Hausdorff rank
– Alberto Marcone, Antonio Montalbán
Polynomial equations with quantifier-prefixes
– Andrey Bovykin, Michiel De Smet - 2010
9
Coherent sequences
– Stevo Todorcevic
My Fourty Years on His Shoulders
– Harvey M. Friedman - 2008
1. General Remarks. 2. The Completeness Theorem. 3. The First Incompleteness Theorem. 4. The Second Incompleteness Theorem.
– Gödel Centenary - 2006
A Model Theoretic Analysis of Non-Provability in Arithmetic
– Shai Ben-david, Michal Dvir
3
Unprovability of sharp versions of Friedman’s sine-principle
– Andrey Bovykin - 2007