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Showing 1 to 2 of 2 for “"Reflection Principles"”.
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The search for new axioms
… set theory (stage theory, G6del's approach, and reflection principles) and argue that the approach via reflection principles is the most successful. In Chapter 2 I analyse the limitations of ZF and use this analysis to set up a mathematically precise minimal hurdle which any set of new axioms …
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Axiomatization and Incompleteness in Arithmetic and Set Theory
… with the philosophical justification of reflection principles and other axiomatic devices which can be used to reduce incompleteness, and in particular with the justification of such devices from the philosophical standpoint of Kurt Gödel. In Part A I consider Gödel's disjunctive …