The World of Ā
The relationship between classical and non-classical logic is a topic that comes up from time to time in these discussions. Inquiry into it tends to take a different tack when guided by Peirce’s placement of logic as a normative science within the more general study of triadic sign relations. Here’s a brief comment I posted on the Peirce List with links to previous comments on the Foundations Of Math List when the subject came up there.
On the relationship between the classical laws of logic and their easement, relaxation, stay, or violation in the qualities of generality and vagueness, see the quotes and remarks I posted to the Foundations Of Mathematics List.