Hello JM,
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Do I need to study syllogistic logic to have a good understanding of informal logic?
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No, you don't. However, understanding "syllogistic logic" is invaluable to critical thinking. One of the main reasons is that when you take someone's argument and put it into proper catagorical propositional form, it forces you to really understand (clarify) what the author is saying. The process of "translating" everyday language into proper logical form is absolutely invaluable.
Sincerely,
Brian