/sci/ - Science & Math

>>12321547
>together with two elements A,B of R
You're failing to properly distinguish between the algebraic and geometric representations of R. By Def 2.3.3, the elements of the two representations are not equal. Your error is that you insist on saying they are equal, but that is because you refuse to acknowledge Def 2.3.3 no matter how many times I point to that definition as the source of your error. Def 2.1.1 makes the algebraic interval representation separate from geometric Hausdorff representation, and Def 2.3.3 says that the equality relation between them is other than the identical equivalence relation "=", and yet you insist on failing to distinguish the representations specified by Def 2.1.1, and then you ignore Def 2.3.3.