So triggered by after reading about H. J. M. Bos's differential historical account |Inspiration is a wierd thing, don't ask me why it is the case...| Please Register or Log in to view the hidden image! The following is observed from these 3 sets of small experiments |Assume we keep all axioms of the real numbers intact| 1. Any elements that interact with zero in a way such that the product is nonzero will in general become absorbing elements in multiplication and/or addition 2. The presence of just one multiplicative inverse that is tied |even indirectly| to the elements in point 1 will result in the collapsing of the number line that is the bogus result known as 0=1 |or in one of the cases having contradictions like u=0| However I just felt this prove is not strong enough to rule out all conceivable attempts in making a division by zero algebra |if we held all axioms of real numbers intact| and I am not sure how to make it stronger PS Someone please fix the forum issue of round brackets turning into Latex like symbols
