Lectures on Universal Logic


The lectures deal with the questions of logical universality in the sense of an universal logic system.

Is there one universal logic (i.e. a logic that can be applied in all contexts, even inconsistent ones)? Why should we think so? If there are several universal logics which one is the best, most suitable, most natural? If the universal logic involves restrictions on some logical principles valid in FOL how can we recapture them in harmless contexts? Can an universal logic identify object- and meta-language? Can an universal logic render naive semantics and set theory without engendering triviality?

 

Lecture 1 - Why Universal Logic? (29.10.2020)

Lecture 2 - Routley's Ultralogic Programme (05.11.2020)

Lecture 3 - Routley's Ultralogic in Action (12.11.2020)

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Manuel Bremer, 2020.