incompleteness

Limitation Result

A limitation result defines the boundaries of what can be achieved in a logical or mathematical system. It often signifies…

4 days ago

Gödel’s Incompleteness Theorems

Gödel's incompleteness theorems reveal fundamental limits of formal systems. They demonstrate that any consistent system powerful enough for arithmetic will…

4 days ago

Gödel’s Second Incompleteness Theorem

Gödel's second incompleteness theorem states that no consistent formal system strong enough to include basic arithmetic can prove its own…

4 days ago