6 ms·
It indeed makes sense to talk about modulo 10 in base 10 and in modulo 10 in base 6. Or would base 6 also not exist?
by MrQuincle 9y ago
It indeed makes sense to talk about modulo 10 in base 10 and in modulo 10 in base 6. Or would base 6 also not exist?
- khedoros1 9y agoTake it from the other direction. Assume a world with an integer "sqorkle", between the integers 3 and 4. It's >3, <4, and not equal to any other integer. In our world that doesn't have sqorkle, what is 3 modulo sqorkle? Since is less than the modulus, it should just be 3, right? 4 modulo sqorkle: 1, I guess, being 1 above sqorkle? OK, so what about 4 mod 3? It's defined as 1 in our world, but in a world where 3+2=4, that can't still be true, right? Mathematical constructs are based on patterns that we see in the world. Change the nature of the patterns, and you invalidate the mathematical constructs that we've built up. I'd think that since our constructs would be invalid in sqorkle-land, trying to apply them there will just end up with contradiction. Ditto, trying to apply our math to 6-less-land.
- rflrob 9y agoSorry, but I think you mean the integer bleem between three and four. http://strangehorizons.com/fiction/the-secret-number/ http://strangehorizons.com/fiction/the-secret-number/