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Conditional Statement Converse Inverse Contrapositive Hypothesis ...

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Now, we want to compare the hypotheses (note that the word “hypotheses” is the plural of the word<br />

“hypothesis”) and conclusions of the Hatter’s conditionals. To help us see the key relationship between his two<br />

conditional statements, we replace the pronoun “it” with the noun “thing.” This replacement doesn’t change the<br />

meaning. As far as the grammar is concerned, we have a repetitious sentence. However, this repetition helps us<br />

analyze the relationship between hypotheses and conclusions.<br />

4. a. List the hypothesis and conclusion for the revised version of each of the Hatter’s conditional<br />

statements given below.<br />

<strong>Hypothesis</strong> Conclusion<br />

If I eat a thing, then I see the thing. ___________ _____________ _ _______________________<br />

If I see a thing, then I eat the thing. ___________ _____________ _ _______________________<br />

b. Explain how the Hatter’s two conditional statements are related.<br />

5. There is a term for the new statement obtained by exchanging the hypothesis and conclusion in a conditional<br />

statement. This new statement is called the converse of the first.<br />

a. Write the converse of each of the conditional statements in #1, parts a and b, using “if … then …” form.<br />

1 a. ______________________________________<br />

1 b. ______________________________________<br />

b. What happens when you form the converse of each of the conditional statements above?<br />

6. The March Hare, Hatter, and Dormouse did not use “if … then” form when they stated their<br />

conditionals.<br />

Write the converse for each conditional statement below without using “if … then” form.<br />

<strong>Conditional</strong>: I breathe when I sleep. <strong>Converse</strong>: ________________________________<br />

<strong>Conditional</strong>: I like what I get. <strong>Converse</strong>: ________________________________<br />

<strong>Conditional</strong>: I see what I eat. <strong>Converse</strong>: ________________________________<br />

<strong>Conditional</strong>: I say what I mean. <strong>Converse</strong>: ________________________________

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