Why did mathematicians conceptualized infinity? Do they use it in any mathematical systems?
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I am not actually quite sure what you’re asking, could you elaborate?
Infinity just means “there’s more of these things than is needed” or “this number (amount) is bigger than is needed” in discrete or continuous systems respectively. Or it means that there can be any number of things resp. a property can be as
For example, in probability, when you flip a coin, we say that there is 1/2 probability you’ll get a head, but what it actually means is that if you flipped the coin a really large number of times, you’d get head about half the time.
In computers science, we often work with “languages”, which are sets of strings (words). For example, you could have a languege of all strings that start with the letter ‘a’. So for example “a”, “aa”, “aba”… That is an infine language, because there are infinitely many strings that start with ‘a’.
Infinity is used in almost all areas of math. It simply just means “as many as you want” or “as many as is sufficient”.
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