Reverse mathematics investigates which axioms are necessary to prove particular theorems by working within subsystems of second-order arithmetic. Central to this programme are well-ordering principles ...

Reverse mathematics is a framework for analysing the minimal axioms required to prove mathematical theorems by working within subsystems of second-order arithmetic. Its central concern is to establish ...

Mathematics is distinguished from the sciences by the freedom it enjoys in choosing basic assumptions from which consequences can be deduced by applying the laws of logic. We call the basic ...

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