Aug 11, 2012 · 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

Nov 5, 2015 · My friend and I were discussing infinity and stuff about it and ran into some disagreements regarding countable and uncountable infinity. As far as I understand, the list of all natural numbers is

An infinite number? Kind of, because I can keep going around infinitely. However, I never actually give away that sweet. This is why people say that 1 / 0 "tends to" infinity - we can't really use infinity as a …

May 3, 2020 · How do you extend your definitions to that case, and how infinite is n n? Assuming n =N n = N, the product of two such matrices is still not always well-defined, take for instance the matrix …

In his book Analysis Vol. 1, author Terence Tao argues that while each natural number is finite, the set of natural numbers is infinite (though has not defined what infinite means yet). Using Peano...

Apr 7, 2016 · This proof is perfectly valid - maybe not as nice as yours, and maybe not what Euclid wrote, but that's by the by. Note that the OP was asking specifically for a proof that the number of …

A decimal representation of a number has digits indexed by natural numbers. Which exactly is the position of that last 1 1? Is it the first after the decimal point? The second? The third? Each digit must …

Dec 1, 2010 · Can you partition an infinite set, into an infinite number of infinite sets?

Dec 30, 2019 · With that definition you can make sense of some infinite sums of vectors, and use those infinite sums to define independence, span and basis. The set of vectors ei e i where for each i i the …

4 If "almost infinite" makes any sense in any context, it must mean "so large that the difference to infinity doesn't matter." One example where this could be meaningful is if you have parallel resistors and …