Gödel’s Second Incompleteness Theorem
Gödel's second incompleteness theorem states that no consistent formal system strong enough…
Gödel’s First Incompleteness Theorem
Gödel's First Incompleteness Theorem states that any consistent formal system capable of…
Frege’s Theorem
Frege's theorem establishes that arithmetic is reducible to logic. It demonstrates how…
Finitary Arithmetic
Finitary arithmetic is a mathematical approach that emphasizes constructive methods, avoiding infinite…
Constructive Mathematics
Constructive mathematics emphasizes mathematical objects that are provably constructible and computable. It…
Combinatorialism
Combinatorialism posits that any arbitrary collection of elements forms a valid mathematical…
Frege’s Basic Law V and the Foundations of Arithmetic
Frege's Basic Law V aimed to ground arithmetic in logic. It states…