Exam 3: Understanding Causal Relationships: Necessary and Sufficient Conditions

Translate each statement into propositional logic form. -Cartman is not fat, but he does have big bones.

Translate each statement into propositional logic form. -Either Damian or Mr. Hankey killed Kenny.

Construct truth tables for the following arguments and indicate their validity. - $A \rightarrow(B \vee C)$ $B \rightarrow(C \& A)$ $\frac {\text { A}} { \rightarrow \text { C} }$

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

Modus Ponens is always valid.

Translate each statement into propositional logic form. -If Pip is English, then either Damian is not Satan's son or Mr. Garrison is not a good teacher.

Translate each statement into propositional logic form. -Either Stewie is a megalomaniac, or Lois is crazy.

Test the validity of the following syllogisms using the Venn Diagram test: -No $y$ are $x$ \frac {\text { Some \mathrm{x} are \( \mathrm{z} \) }} { \text {Some \( \mathrm{z} \) are not \( \mathrm{y} \) } }

Test the validity of the following syllogisms using the Venn Diagram test: -No a are $\mathrm{a}$ Some $m$ are not $m$ \frac {\text { Some \mathrm{m} are not \( \mathrm{b} \) }} { \text {Some \( \mathrm{b} \) are not \( \mathrm{a} \) } }