Hello philosophers. I was just wondering about Gödel's Incompleteness Theorem. What exactly is it and does it limit what we are capable of knowing? I have no training in mathematics or formal logic so if you could reply in lay terms, I would appreciate that. Thanks, Tim.

I've heard that 2 to the power of 2, to the power of 2, etc... 6 times is a number so huge that we could never figure it out. Would that qualify as being infinite? And how would we be able to intelligibly come to that conclusion, or is it a "rough estimate" that we could never figure it out? Thank you for your time. ~Kris S.

Does the word 'chance' (or 'accident', 'luck', or 'random') refer to the absence of causation, or does it express our ignorance of causation? Equally, does the word 'infinite' refer to the unlimited, or to our ignorance of limits?

To Whom it May Concern: Mathematical results are assumed to be precise. But how can mathematics be precise if results are rounded up or down? Don't such small incremental "roundings" add up to imprecision? So, in general, don't "roundings", in some way, betray the advertised precision of mathematics? Sincerely, Alexander

How can was say that a variable such as x exists as a number or at all in an equation when by using a variable we claim to know nothing of what "goes in there" to complete the equation?

Is infinity a number or not and why?

It is often said that if we ever make contact with extra-terrestrials the only language we might share would be mathematics. Whilst prime numbers or pi might communicate “we are intelligent life forms”, can mathematics really say anything more than this?

Could math have possibly developed without the cartesian coordinate system? Or is this a necessary and therefore inevitable construct that would must be discovered "sooner or later"? - andy c. nguyen

How do we know modern day math is correct? An example would be one is equal to zero point nine repeating. You can divide them both by three, and get point three repeating, but if you times point three repeating by three you can only get point nine repeating... another question could be, where does the rest of it go?

I've been adding 2+2 all day, and I keep getting the number 5 as the answer. Does the number 4 not exist, or do we just perceive it differently?