Keywords

#second-order_arithmetic

Second-order arithmetic

Mathematical system

In mathematical logic, second-order arithmetic is a collection of axiomatic systems that formalize the natural numbers and their subsets. It is an alternative to axiomatic set theory as a foundation for much, but not all, of mathematics.

Fri 6th

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Second-order arithmetic Peano axioms Reverse mathematics Second-order logic List of first-order theories True arithmetic Gödel's incompleteness theorems Arithmetical hierarchy Kruskal's tree theorem Gottlob Frege
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