Reasoning, Proofs, & Recursion
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| Inductive Reasoning | You can't prove it is true. It is a rule of thumb.
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| Deductive Reasoning | Uses logic rules to deduce a conclusion. You can prove something is not true by counter example.
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| Direct Proof | Formally proves a statement given hypothesis and rules to deduce the conclusion. Formally proves the hypothesis lead to the conclusion by rules and justifying each step by rules.
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| Exhaustive Proof | Shows that all the possible cases involved in the proof have been exhausted.
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| Proof by Contraposition | Proves by looking at the contraposition.
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Review the information in the table. When you are ready to quiz yourself you can hide individual columns or the entire table. Then you can click on the empty cells to reveal the answer. Try to recall what will be displayed before clicking the empty cell.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
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