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

danilobellini comments on How to Convince Me That 2 + 2 = 3 - Less Wrong

53 Post author: Eliezer_Yudkowsky 27 September 2007 11:00PM

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

Comments (390)

Sort By: Old

You are viewing a single comment's thread.

Comment author: danilobellini 28 July 2009 07:57:08AM -2 points [-]

This time I disagree with Eliezer...this experiment won't convince me that 2+2=3...wouldn't even convince me that physical maxim "everything goes somewhere" is wrong...I would find where the earplugs are (even if they sublimated). That still don't make that an "imutable belief".

There's nothing wrong in switching lexically 3 and 4 ( S(2) = 4; S(4) = 3; S(3) = 5 )...sounds unuseful, and don't attack Peano's axioms. That would make me believe in 2+2=3.

To stop believing in the integer numbers, it's needed to prove an inconsistency in Peano's axioms (even if their representation is physical, inside the brain), and this experiment doesn't prove that.

If the 2+2=3 gets usual in every empirical test I do, as suggested in this article (no matter how absurd it can seem to be), I wouldn't stop believing in the integer numbers: I would have a NEW number system (axioms/definitions) with this characteristic (2+2=3). That's a new model, and what was empirically falsified before, was the link between the old model and the physical reality I could notice, but not the old model itself.

I've got curious about paraconsistent logics in this case...