CMU has a free logic course http://oli.cmu.edu/courses/all-oli-courses/logic-proofs-course-details/ http://oli.cmu.edu/courses/all-oli-courses/logic-proofs-cour

CMU has a free logic course http://oli.cmu.edu/courses/all-oli-courses/logic-proofs-course-details/ http://oli.cmu.edu/courses/all-oli-courses/logic-proofs-cour... This collection of lecture notes used for an intro pure math course also covers communications in math like how to write and structure a proof https://infinitedescent.xyz/ https://infinitedescent.xyz/ There is also classic material, like Descartes 'Discourse on the Method'. As for being able to argue well, any books on thesis defense will help like what a committee looks for when tearing apart your hypothesis and results/logic.