Zero is nothing, null, zip, {ø}, 0/x. The concept is pretty easy, there's either something, or nothing (0)...or perhaps a probabilistic oscillation between the two states. Anyways...
Infinity is definitely a hard concept, especially since you can't conceive it. No matter what you think about in order to try and conceptualize the vastness of infinity, you can always think of something even more vast. I like to think of it like this: If there is a finite probability that an event can occur, then no matter how small the probability of that event occurring is, that event will, not may, but will occur, with a 100% chance, as long as it is given an infinite amount of time to happen.
Or 1/0
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You can not divide by zero - it is not defined. Presumably you get infinity, but there are different types of infinity.
In mathematics, the expression "zero times infinity" is considered an indeterminate form, meaning it does not have a definitive value. This is because the product of zero and any finite number is zero, but the product of zero and an infinitely large number could potentially approach a non-zero value. In different contexts and mathematical systems, the result of zero times infinity may vary or be undefined.
It remains as zero
No. That is why it is called "infinity". Infinity is actually not an accepted numerical value in calculus. It is rather a concept. For instance, (infinity) - 1 googleplex = infinity
Infinity is as big as you can get, so there is no number after it.There is also a "negative infinity" going the other way, so the total number of integers could be considered as two infinity (2 x ∞), or two ∞ plus 1 if you include zero. But usually infinity is defined to include the entire set of integers.* * * * *Except that infinity plus infinity, or even infinity times infinity is still infinity. However, infinity to the power of infinity is a higher level of infinity (Aleph1 rather than Aleph0). And if that does not do your head in, there is a lot more to the mathematics of infinities.