Solve it Sunday: Infinite Worlds

Hello my dear Sherlocks, Einsteins, and other puzzle solvers. You’re probably all cooped up and sick of your family at this point, and need something to keep morale up.

Well, I got just the thing for you.

As always, the solution to the riddle is in the comments.

The mathematics of infinity can be startlingly beautiful. It can allso be just plain startling.

Consider the natural numbers – 1, 2, 3, 4, etc. They are infinite; any number you can conceive of can be increased. Now consider the even natural numbers – 2, 4, 6, 8, etc. These also obviously extend to infinity.

So if you compare the set of all natural numbers with the set of all even natural numbers, which is larger?

Best of luck to you!!!

One thought on “Solve it Sunday: Infinite Worlds

  1. ANSWER IS BELOW
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    It turns out that the idea of “larger” has to be discarded when considering infinity. Obviously there are twice as many natural numbers as there are even natural numbers for any range. Equally obviously, both sets are infinite, and therefore the same size. The only accurate ANSWER is that the question is meaningless.

    Like

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