Less Wrong is a community blog devoted to refining the art of human rationality. Please visit our About page for more information.

Nick_Tarleton comments on Artificial Addition - Less Wrong

36 Post author: Eliezer_Yudkowsky 20 November 2007 07:58AM

You are viewing a comment permalink. View the original post to see all comments and the full post content.

Comments (117)

Sort By: Old

You are viewing a single comment's thread.

Comment author: Nick_Tarleton 22 November 2007 07:41:30PM 2 points [-]

Benoit, those are two different ways of writing the same real, just like 0.333... and 1/3 (or 1.0/3.0, if you insist) are the same number. That's not a paradox. 2 is a computable number, and thus so are 2.000... and 1.999..., even though you can't write down those ways of expressing them in a finite amount of time. See the definition of a computable number if you're confused.

1.999... = 2.000... = 2. Period.