Recent Posts For Mathematical Logic
Upward Löwenheim–Skolem Theorem
The upward Löwenheim–Skolem theorem states that if a first-order theory has an…
Recursive Function Theory
Recursive function theory explores the properties of recursive functions, focusing on their…
Löwenheim–Skolem Theorem
A fundamental theorem in mathematical logic stating that any countable theory with…
Gödel Sentence
A self-referential sentence in formal systems, a Gödel sentence demonstrates incompleteness theorems…
Downward Löwenheim–Skolem Theorem
The downward Löwenheim–Skolem theorem states that if a theory has an infinite…
Church’s Theorem
Church's theorem proves the undecidability of fundamental decision problems in logic, like…