All of mathematics can be deduced from the sole notion of an integer; here we have a fact universally acknowledged today.

- Emile Borel

Any argument where one supposes an arbitrary choice to be made an uncountably infinite number of times ...[is] outside the domain of mathematics.

- Emile Borel

It may seem rash indeed to draw conclusions valid for the whole universe from what we can see from the small corner to which we are confined. Who kno…

- Emile Borel

The occurrence of any event where the chances are beyond one in ten followed by 50 zeros is an event which we can state with certainty will never hap…

- Emile Borel