Reddit mentions of A Beginner's Guide to Discrete Mathematics

One of the books the logic class used was A Concise Introduction to Logic which I personally found to be quite aptly named, all things considering. I don't have my copy any more but it was very good with having clear definitions and explanations and then lots and lots of exercises with regard to the symbolization process.

I had some content overlap in some math/stor classes I took. The book A Beginners Guide to Discrete Mathematics covered several of the same beginning principals but with slightly different application procedures. The sections on proofs and mathematical induction and conditional probabilities were all somewhat similar and imo useful--but the textbook is as you'd expect more geared towards the numerical side of things so its application towards analyzing an essay/verbal argument aren't as obvious. You might have what's essentially the same set of symbols and syllogisms, but instead of propositions A, B, C you have numbers 3, 4, 5.

Just depends on how you think best, really. I know I probably would have done much worse in the class the second book was assigned for if I hadn't taken the first class first, because I learn better within the context of the first. It's fairly dry reading, in any case, but those were books weren't bad at all. I would put money on there being a more casual published guide or overview available somewhere, but I'm not certain where or what the best ones are.

The wiki's on Tautologies, First Order Logic and Second Order Logic along with some of the associated pages seem to give fair overviews, but for whatever reason they come off as a little obtuse when compared to the structure and language of the books and they obviously don't provide much in the way of actual instruction if you're interested in that sort of thing. But might be useful to look into none the less.

Hope that helps at all (=