Exam 3: Understanding Causal Relationships: Necessary and Sufficient Conditions

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Indicate whether the following examples are necessary or sufficient conditions. -Having four sides causes a shape to be a square.

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Scientific reasoning relies upon Hypothetical-Deductive Reasoning.

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Given that A, B, and C are true and X, Y, and Z are false, determine the truth- value of the following statements. -~B v ~X

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How might surveys be manipulated? How might one tell that a survey is legitimate?

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Explain how one might use a truth table to determine validity.

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An "If, then" statement is called a Conditional.

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Explain the causal relationships implied by necessary and sufficient conditions.

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The Post-Hoc Fallacy is an example of genuine causality.

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In the statement "if A, then B," B is a sufficient condition for

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Test the validity of the following syllogisms using the Venn Diagram test: -All d d are p p \frac {\text {Some \mathrm{p} are \( \mathrm{z} \) }} { \text { Some \( \mathrm{z} \) are \( \mathrm{d} \)} }

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In the statement "if A, then B," A is a necessary condition for

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Translate each statement into propositional logic form. -If Ike is a baby, then Stan will kick him.

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Construct truth tables for the following arguments and indicate their validity. - \sim\rightarrow\sim(\vee)

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Construct truth tables for the following arguments and indicate their validity. - A A v BB  A & B B & A \frac {\text { A \& B }} { \text {B \& A } }

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Translate each statement into propositional logic form. -If Patrick Stewart made an appearance, then either Stewie or Peter said "Wil Wheaton" strangely.

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Statistics are always trustworthy.

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Faulty memory can mar testimony.

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Test the validity of the following syllogisms using the Venn Diagram test: -All x x are y y All z \mathrm{z} are x \mathrm{x}  All z are x  All z are y\frac {\text { All z are \( x \) }} { \text { All \( z \) are \( y \)} }

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"All A are B" is a Universal Affirmative statement.

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Test the validity of the following syllogisms using the Venn Diagram test: -All a are b  Some a are c Some c are b \frac{\text { Some } \mathrm{a} \text { are } \mathrm{c}}{\text { Some } \mathrm{c} \text { are } \mathrm{b}}

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