High School mathematics project (using propositional calculus)

So I'm a senior high school student in Sweden, and I'm planning to do a project in mathematics. I have some ideas of areas I want to work with but I don't really have any specific question and so I come to you for help.

Propositional Calculus captivates me so I would like to incorporate that into my project somehow. My other areas of interest are analysis (calculus I guess you would call it, it's about limits, derivatives, integrals etc) and number theory.

So if you had any ideas it would be cool if you could share! Thanks!