- #1
hddd123456789
- 92
- 0
Hey, I've been reading up on Cantor's work recently, and was wondering if the following series can be considered an enumeration for the reals between 0 and 1 in binary:
[0] => 0.00000...
[1] => 0.10000...
[2] => 0.01000...
[3] => 0.11000...
[4] => 0.00100...
[5] => 0.10100...
[6] => 0.01100...
[7] => 0.11100...
[8] => 0.00010...
[9] => 0.10010...
[10] => 0.01010...
[11] => 0.11010...
[12] => 0.00110...
[13] => 0.10110...
[14] => 0.01110...
[15] => 0.11110...
.
.
.
If not then can you please explain why this isn't an accurate enumeration? Thank You!
[0] => 0.00000...
[1] => 0.10000...
[2] => 0.01000...
[3] => 0.11000...
[4] => 0.00100...
[5] => 0.10100...
[6] => 0.01100...
[7] => 0.11100...
[8] => 0.00010...
[9] => 0.10010...
[10] => 0.01010...
[11] => 0.11010...
[12] => 0.00110...
[13] => 0.10110...
[14] => 0.01110...
[15] => 0.11110...
.
.
.
If not then can you please explain why this isn't an accurate enumeration? Thank You!