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RE: An Introduction to Mathematical Proofs, Part 2: Conditionals, Deduction, Biconditionals, Proofs of Equivalence
Really nice job @daut44, I haven't thought about mathematical proofs since I took a course in it for a minor in undergrad, many years ago. This is a really good primer for some introductory proofs concepts. In all honesty this was a course I found especially challenging, and had to spend an embarrassing number of hours to wrap my mind around the concepts of.
The problem is that it's such a step by step process. You can't run before you can walk, you can't walk before you can crawl. Missing any of the key background components can lead to massive confusion. I'm sure any problems you had were due to a gap in knowledge before you took this course.
I very much wanted to jump into fun proof techniques, but halfway into that blog I realized it was impossible to do without the necessary background buildup. One more background material blog in part 3 then we can start getting into the really fun stuff.
I followed you, looking forward to more. Both of your posts so far are really well done. Especially when taking the difficulty of the subject matter into consideration. Also, thank you for taking a look through my blogs too! I understand the difficulties with genetics! When I was in undergrad I failed my first genetics exam, it was the first science related exam I had ever failed (wasn't the last.. Statistical Thermodynamics in graduate school got the best of me too).
I've been a firm believer than things worth doing aren't easy, and I have found my self with a very rewarding field of research due to my perseverance!
I was taking a chemistry class and a genetics class concurrently. It's been roughly the same amount of time since I took either (freshman and sophomore year of high school), but chemistry came back so quickly while genetics was pure struggle. Just so much material to cover with so many unfamiliar names, and things that were seemingly similar but not alike at all like allele vs locus vs genes. But great class, should probably retake it now that I already went through it once.
What kind of research do you do? (I haven't read through any of your blogs yet, just looked through the subject matters in your blog post titles)
I am an enzyme kineticist, so I use a variety of rapid timescale techniques to probe the rates of the individual chemistry steps performed by a enzyme as it converts it's substrate to it's product.
I see you have a lot of DNA blogs. I'll try to wade my way through those later, but to make you feel better, in the past couple years I've taken many courses on edx and coursera, and by far the most challenging for me was genetics. I'm 32 years old and haven't taken a biology class since I was 14, you can imagine how difficult it was for me to learn concepts without the proper background built up. But look forward to more of your articles :)