Abstract
AbstractThis chapter is a brief introduction to abstract algebraic logic. It is organized around the central notion of algebraizability, with particular emphasis on its connections with the techniques of traditional algebraic logic, and especially with the so-called Lindenbaum–Tarski process. It then goes beyond algebraizability in order to offer a more general overview of several classifications of sentential logics which have emerged in recent decades (basically, the Leibniz hierarchy and the Frege hierarchy) and to show how the classification of a logic into any of these hierarchies provides some knowledge regarding its algebraic or its metalogical properties. In the final section, a more abstract view of algebraizability is introduced.
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