#### Deleted member 115935

- Joined Dec 31, 1969

- 0

Scientific theories are built from empirical hypotheses, not formal statements, and so can neither be proved nor disproved. At best, we can continue to accept or reject the hypotheses based on the accumulation of evidence.

What exactly do you mean by "hole"?

In many mathematical contexts, division by zero is simply undefined. It doesn't have to be -- we can define 0/0 axiomatically or as shorthand for a limit. The only restriction is that we don't introduce any inconsistencies.

By hole,

I mean things we can not prove, but are taken as "true" till proven otherwise,

a big bunch of them @bogosort, jenifer solomon says your a mathematician, Im not , just an engineer,

please, these problems are outside my areas, may be you could expand on them for us.

would be very interesting ,

https://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics