- #1
swampwiz
- 571
- 83
(I should say that I have never done proper coursework in introductory proofs like a mathematics major would.)
I figure there must be a way to denote a situation in which, from sloppy intuition, etc., a certain proposition might (erroneously) imply a result, but that that result could happen, just that it is not guaranteed to happen.
A simple example would be the case of the product of a pair of matrices as LHS & RHS being equal to the sides being swapped.
[ A ] [ B ] = [ C ] does not necessarily imply [ B ] [ A ] = [ C ], but nor does it imply [ B ] [ A ] != [ C ], as is could very well luck out that [ A ] [ B ] = [ B ] [ A ]
I figure there must be a way to denote a situation in which, from sloppy intuition, etc., a certain proposition might (erroneously) imply a result, but that that result could happen, just that it is not guaranteed to happen.
A simple example would be the case of the product of a pair of matrices as LHS & RHS being equal to the sides being swapped.
[ A ] [ B ] = [ C ] does not necessarily imply [ B ] [ A ] = [ C ], but nor does it imply [ B ] [ A ] != [ C ], as is could very well luck out that [ A ] [ B ] = [ B ] [ A ]