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What is infinity divided by infinity? - Mathematics Stack Exchange I know that $\infty \infty$ is not generally defined However, if we have 2 equal infinities divided by each other, would it be 1? if we have an infinity divided by another half-as-big infinity, for
One divided by Infinity? - Mathematics Stack Exchange Similarly, the reals and the complex numbers each exclude infinity, so arithmetic isn't defined for it You can extend those sets to include infinity - but then you have to extend the definition of the arithmetic operators, to cope with that extended set And then, you need to start thinking about arithmetic differently
Types of infinity - Mathematics Stack Exchange I understand that there are different types of infinity: one can (even intuitively) understand that the infinity of the reals is different from the infinity of the natural numbers Or that the infi
What is the result of - Mathematics Stack Exchange In "the end," infinity does not have an end" you have given all coins away and so the balance is 0 0 The difference between the two scenarios is, in the second the order of the coins is preserved, in the first the coins are piled and one only looks at the total value of the coins
Why is $\\infty\\times 0$ indeterminate? - Mathematics Stack Exchange In particular, infinity is the same thing as "1 over 0", so "zero times infinity" is the same thing as "zero over zero", which is an indeterminate form Your title says something else than "infinity times zero"
complex analysis - Infinity plus Infinity - Mathematics Stack Exchange You'll need to complete a few actions and gain 15 reputation points before being able to upvote Upvoting indicates when questions and answers are useful What's reputation and how do I get it? Instead, you can save this post to reference later
I have learned that 1 0 is infinity, why isnt it minus infinity? This obviously makes no sense - we say that 0 0 is "undefined" because there isn't really an answer Likewise, 1 0 is not really infinity Infinity isn't actually a number, it's more of a concept If you think about how division is often described in schools, say, number of sweets shared between number of people, you see the confusion
Is 1 + infinity - Mathematics Stack Exchange So new_infinity would just become "1 + infinity" They argue that you can just substitute in x x for infinity and have the statement 1 + x> x 1 + x> x which is true (but I don't think you can substitute a variable in for infinity)
infinity - Does infinite equal infinite? - Mathematics Stack Exchange If you think a system which handles infinity well has certain properties, then find one which has those properties If you think systems should say infinity doesn't exist, and questions concerning it are nonsense, impossible, or undefined, then find one Many types of systems exist (however much the adherents of a given system may deny it)