Trivium: Logic

Beginning the week of January 10, all Lyceum Institute members will have access to a 13-week course in traditional Logic. Discussion sessions will be held twice per week: Mondays at 6:00-6:45pm and Thursdays at 11:45am-12:30pm (subject to change). Each week there will be an assigned reading, problem set, and brief lecture. Discussion sessions will cover both the reading and selected problems.

But why study traditional logic? Some will say it has been obsolesced by modern (symbolic) logic. Others will say that it is a frivolous activity used even less commonly in “real life” than algebra or calculus. Both are wrong: for though we do not break down our propositions and arguments into formal, syllogistic formulas, by a deep familiarity with their structure, their rules, and their application in natural language, we are able to recognize illogical arguments from others and to construct more logical arguments ourselves.

To quote our primary textbook, R.E. Houser’s logic as a Liberal Art:

The natural habitat of logic is the verbal and written language of ordinary human discourse, including the high-level verbal discourse that occurs in university courses.  The man who invented this approach to logic was Aristotle, who wrote the first textbooks in logic in the fourth century B.C.  The main reason why this approach is preferable for most people is that it avoids the two problems that have plagued the teaching of symbolic logic during its heyday and up to the present.  First, the verbal approach is clearly preferable for those who have math phobia.  The problems used in the verbal approach are set out in ordinary language, language that often contains clues that help us to understand the logic of verbal discourse.  Such clues, of course, are missing from the mathematical symbols used in symbolic logic.  Second, the verbal study of logic has the advantage of avoiding the problem of needing to translate back and forth between abstract logical symbols and the more concrete verbal symbols we call words.  While mathematical symbols do on occasion help us see logical relations… by using ordinary or “natural” language to study logic we can avoid the large headache of translating from the language of symbols to ordinary language, and then back again.  So we content ourselves with the smaller but real headaches involved in searching out the logic contained within verbal or natural language.

Houser 2020: Logic as a Liberal Art, xxviii.