/sci/ - Science & Math

>>14669249
And the premise is absurd because of the diagonal argument
>That could only happen in a finite list
Not at all, I don't think you understand the construction.
Here's an infinitely long list that presumably contains all reals, by virtue of differing from each number in the list by at least one decimal place, you've constructed a number that, by definition, can't belong to the list even if you go on infinitely, as by construction, the number changes each iteration you go to account for the new members.
Keep in mind that the constructed real will obviously be irrational.