Unformatted text preview: how it helps you follow later statements. If the statement is advancing the proof by creating a new result, look for and find the justification even if it is not given explicitly in the proof. Determine where each hypothesis of the theorem is used, making sure all hypotheses are. If a hypothesis truly is not used, it need not be in the theorem statement and a stronger theorem (because it has fewer restrictions) is the result. If a proof says that other parts of the conclusion can be obtained by similar arguments, do those arguments. 2. Practice the scrutiny outlined above on All theorems presented in class All theorems we cover in the text Theorems you run into in other courses 3. Once you have written a proof, examine it with the same sharp eye using the above suggestions. 4. If possible, show your proof to some knowledgeable friend and ask him or her to harshly criticize it....
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- Spring '11
- Pythagorean Theorem, Mathematical proof