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Forcing for hat inductive definitions in arithmetic
Author(s) -
Sato Kentaro
Publication year - 2014
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/malq.201300044
Subject(s) - forcing (mathematics) , mathematics , arithmetic , second order arithmetic , algebra over a field , discrete mathematics , pure mathematics , mathematical analysis , peano axioms
By forcing, we give a direct interpretation ofID ̂ ω into Avigad's FP . To the best of the author's knowledge, this is one of the simplest applications of forcing to “real problems”.