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For every real number between 1 and 2... 1) I can find that number also in the set between 1 and 4. 2) But I can't find that number in the set between 2 and 4
by powertower 15y ago
For every real number between 1 and 2...
1) I can find that number also in the set between 1 and 4.
2) But I can't find that number in the set between 2 and 4.
To myself numbers are always relative to one another, don't exist outside the mind, and the set between 2 and 4 is twice the set between 1 and 2.
But like I said, it's a personal spin on it.
- drt1245 15y agoWhere 1 <= x <= 4: f(x) = (x-1)/9 + 1, maps bijectively from [1,4] to [1,4/3] g(x) = (x-1)/9 + 4/3, maps bijectively from [1,4] to [4/3,5/3] h(x) = (x-1)/9 + 5/3 maps bijectively from [1,4] to [5/3,2] Therefore, [1,2] must contain three times as many numbers as [1,4], right? It doesn't work like that.
- powertower 15y agoI'm not sure what you are doing with the above.