Suppose You Wish to Prove a Theorem of the Form

question 151

Short Answer

Suppose you wish to prove a theorem of the form "if p then q." (a) If you give a direct proof, what do you assume and what do you prove? (b) If you give a proof by contraposition, what do you assume and what do you prove? (c) If you give a proof by contradiction, what do you assume and what do you prove?

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Definitions:

Per Month

A term indicating the occurrence or measurement of something on a monthly basis.

Compounded Quarterly

Interest on an investment or loan calculated four times a year, adding each interest payment to the principal for future calculations.

Compounded Monthly

A system for calculating interest on a monthly cycle, including the original deposit or loan amount plus the accumulated interest from earlier cycles.

Promissory Note

A written promise to pay a specified sum of money to a designated party at either a fixed or determinable future date.