Is there any way how I can use Mathematica in Introduction Logic course?

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I am very new comer to Wolfram Mathematica software tool and I am interesting is there any way how I can apply this tool for Introductory Logic course. I am participating at the course on 'coursera' it is promising to be math intensive, we are going to employ a set theory, expressions manipulation techniques (similar to algebra, but in logic context) . Is it make any sense to apply such powerful tool for that kind of task or I over complicate a task? From my perspective I am looking for ways to increase my understanding of the subject.

Any suggestions or advice are very welcome.

Thanks in advance. Nick

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Of course. Mathematica is in my opinion the strongest mathematical computation language, but it has some downsides. For logical arguments, which are usually somewhat long, it's time-consuming to encode it to input it for Mathematica to simplify/evaluate, but once you get used to it, it's easier. Here are some commands you can use;

http://reference.wolfram.com/language/guide/LogicAndBooleanAlgebra.html

http://reference.wolfram.com/language/ref/SatisfiableQ.html

http://reference.wolfram.com/language/ref/BooleanConvert.html

http://reference.wolfram.com/language/ref/Resolve.html

http://reference.wolfram.com/language/ref/Implies.html