What does Godël’s Incompleteness Theorem actually mean and imply? I just saw Ted-Ed’s video on this topic and didn’t fully understand what it means or what the implications of this are.

Question

What does Godël’s Incompleteness Theorem actually mean and imply? I just saw Ted-Ed’s video on this topic and didn’t fully understand what it means or what the implications of this are.

In: 742

Answer 1

TLDR it means that some mathematical statements are unprovable. This means that some conjectures or problems may not actually have derivable solutions, and it’s impossible to know which problems do or don’t.