It's a bit of a weird title but this open textbook (438 page PDF) is a good introduction to formal logic (so far as I can determine by reading through the first few chapters and looking randomly at other sections). I'm passing it along because if there is a secret manual to academic success, this is it (and so, if you're working with some really promising young students, you should pass this on to them and whisper "this isn't for everyone"). More seriously, though there are some well-known limitations to formal logic, there is no discipline that does not rely on it, and facility with formal logic will make less stringent tasks - writing, for example - a lot easier to do well. Via Open Education Global, and hence, Alan Levine.
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