Philosophy Now Forum

The question is asked in the book of Tony Roy Symbolic Logic p. 48, and the answer is that no matter how many number we can add, there is always a possibility to build a number out of the list.

you are not respectful.

So what?
The same question may be asked with a diagonal which will be placed in the row number 2 for instance.

Because we can make a lot of such diagonals as I showed.

If I understand Cantor demonstrated by using a strategy using the diagonal of a matrix, that there are decimal numbers which cannot be a part of an enumeration. We can build a Table, the rows corresponding to natural numbers from zero to greater numbers top down: 1 2 3 . . . Let's see numbers with 0...

By diagonalization we can build an entity that is not equal to any of the rows in a infinite table. By the way for example, we can build a decimal number different from each of the decimal numbers supposedly enumerated in the row of numbers "0._ _ _...". Since, we have a number which is ou...

Cantor found a way to build a number that cannot be a part of enumerated numbers. E.g. If we have an infinite list of rows each from them is a decimal number starting from zero, enumerated (g. we can write them in binary, it's possible to build a number different from each, which is obviously not a ...