3 ms·
A question about the article. Surely, for any function fn(x) we can just add gn(x) = 1-fn(x) to the table. And so then the argument that there are missing funct
by Yajirobe 8y ago
A question about the article. Surely, for any function fn(x) we can just add gn(x) = 1-fn(x) to the table. And so then the argument that there are missing functions does not hold. Why is this reasoning wrong?
- kccqzy 8y agoI think you forgot to notice the diagonalization in the article. That is, the newly defined function precisely disagrees with the i-th function when input is i. A similar diagonalization process is used by Cantor to prove the reals are not countable.