Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °
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If we can just do it ourselves (especially writing the count by hand) then we've found the "fountain of
Oh yes, that's absolutely true and a very nice fact. In the universe of mathematics this is fine, the only problem would be if you tried to do it yourself!
noelevans makes an interesting and - of course - entirely correct point which also touches on the idea of infinitesimals. Naturally, however, in the same way that it is not possible (assuming one number per second) to count even as far as 3 billion, it is not possible to count all the numbers in 2 seconds, not even theoretically (well not in this universe anyway), since the Planck time is a finite period of time and no observable change is thought to be able to take place on a time-scale which is smaller than this.
Hi tina 123!
Well, if we do away with aleph numbers and the like and just concentrate on this abstract concept ∞, then we have to think about what infinity is. This is perhaps not the most clear-cut question in the world, but - really - we can think of infinity by playing a counting game. As we count the numbers:
what is the value if we add infinity in any real number .