I am studying mathematical logic, though some of it crosses over into (or is perhaps part of?) what I think is called traditional logic, formally, which seems to be basically philosophical logic, that used by aristotle and the likes.
Anyway, I am reading up on tradional logic, specifically about the nature of contradiction. The ending of this passage on importanceofphilosophy.com however, eludes me:
If the content of your knowledge contains contradictions, then some of your knowledge is in error. Because in order to be successful in reality one must know reality, success requires correct knowledge. It is therefore important to continually search for and root out contradictions in your knowledge in order to make sure that your knowledge corresponds to reality. The two primary methods for doing this are logic, the art of non-contradictory identification, and integration.
Okay then, so I don't know logic, but I know of it and am studying it. However, I have no idea what integration is in a philosophical sense. I doubt it's the same as integration in maths.
Part of the reason I am asking this is because I can't seem to find any information on this term, when searching for 'philosophical integration', or 'logical integration', nothing of relevance seems to be returned. Also, the sheer importance of this seems to be colossal, as it's paired up with logic itself. So it seems like a worthy endeavour to find out what integration is. Though, it kinda seems strange that it's somehow separate from logic, but anyway, perhaps you could shine some light.