[chrisseaton]

You can look these things up for yourself - they're standardised in most language's implementations in something called IEEE 754. In the cases you've asked about they're false and true. Is this what you want in all cases? No. Is this what you want in some cases? Yes. It's a tradeoff. You can still observe the difference by dividing by zero (which should be another indication that these aren't real numbers as we're conventionally understand them.)

[BeetleB]

> they're standardised in most language's implementations in something called IEEE 754

There is the IEEE 754, and there is the language's standard. One should always look at the latter because it's often the case that the language doesn't fully conform to IEEE 754.