In this chapter some prerequisites for ordinal analysis are explained such as one-sided sequent calculi, recursion-theoretic prerequisites, and the definition of the proof-theoretic ordinal. Our base theory, the elementary (recursive) arithmetic EA, is introduced, and the Kripke–Platek set theory KP is also defined. These materials are scattered in textbooks on logic.
CITATION STYLE
Arai, T. (2020). Introduction. In Logic in Asia: Studia Logica Library (pp. 1–27). Springer Nature. https://doi.org/10.1007/978-981-15-6459-8_1
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