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Single Idea 17891

[filed under theme 6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic ]

Full Idea

The arithmetical instances of undecidability that arise at one stage of the hierarchy are settled at the next.

Gist of Idea

Arithmetical undecidability is always settled at the next stage up

Source

Peter Koellner (On the Question of Absolute Undecidability [2006], 1.4)

Book Ref

-: 'Philosophia Mathematica' [-], p.10