Abstract
How do ordinals gauge the strength and computational power of theories and what kind of information can be extracted from this correlation? This will be the guiding question of this talk. The connection between ordinal representation systems and theories is established in ordinal analysis, a central area of proof theory. The origins of proof theory can be traced back to the second problem on Hilbert’s famous list of problems, which called for a proof of consistency of the arithmetical axioms of the reals.KeywordsProof TheoryOrdinal AnalysisPeano ArithmeticConsistency ProofOrdinal RepresentationThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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