For a presentation, I need some sort of activity. It's a presentation on mathematics as a "way of knowing." For the activity, I want to show how mathematical methods of proof can be applied to the real world. Can you guys help me think of examples to explain the following methods of proof, using real life examples?
â€¢logical deduction â€“ existing mathematical propositions (previously proved or evident without proof), used to deduce by valid logical argument new propositions
â€¢complete induction â€“ inductive reasoning covering all particular instances is employed, and so is able to guarantee the truth of the conclusion
â€¢reductio ad absurdum â€“ assuming opposite is true of what is trying to be proved, and deriving a contradiction from it to show assumption is absurd and original proposition true
â€¢construction â€“ objects asserted to exist are exhibited or constructed
I would appreciate any help, as I am struggling to come up with some good examples for this.
Answer by catchatyou · Oct 28, 2010 at 07:02 PM
When I took Geometry, my Geometry teacher told me that if you are good at proofs, you'll be a good lawyer. I don't know much more though (except that I hate/hated them. I guess I wouldn't make a good lawyer then). I'm sorry I couldn't be of much help. Have fun with your project!