Abstract Algebra: How to approach a question

Flowchart nodes

• Question Type

• Proof

• State.... (words)

• Find

• Type

• General

• Specific

• Method

• Direct

• Contradiction

• Induction

• Contrapositive

• One step

• Multi-step

• 1) Base and words 2) Assumption 3) Inductive 4) Conclusion

• Suppose that...

• ... this is a contradiction. Therefore...

• ...Working...

• We consider the contrapositive; that is:

• a -> b = ¬b->¬a

• Same method

• Different Method

• Topic

• Familiar from examples

• Don't know method

• What am I aiming to show?

• What methods could I use?

• Wording to start

• Let...

• Suppose that...

• Firstly...