A(An) _______________________ is a logical interpretation based on prior knowledge or experience.

Create a truth table for the logical statement. q→~p

Explain the logical steps taken to evaluate an explanation.

Writing Logical Comparisons. Write a sentence that makes the comparison specified in each of the following items. Make sure that your comparisons are balanced and logical. Compare the events in two different books.

Here is another Boolean operation called exclusive or; it is denoted by the symbol $\underline{\vee}$. Please do the following: a. Prove that $\underline{\vee}$ obeys the commutative and associative properties; that is, prove the logical equivalences x$\underline{\vee}$y=y$\underline{\vee}$x and (x$\underline{\vee}$y)$\underline{\vee}$z=x$\underline{\vee}$(y$\underline{\vee}$z). b. Prove that x$\underline{\vee}$y is logically equivalent to $(x\wedge \neg y)\vee ((\neg x)\wedge y)$. (Thus $\underline{\vee}$ can be expressed in terms of basic operations $\wedge$, $\vee$, and $\neg$.) c. Prove that x$\underline{\vee}$y is logically equivalent to $(x\vee y)\wedge (\neg (x\wedge y))$. (This is another way that $\underline{\vee}$ can be expressed in terms of $\wedge$, $\vee$, and $\neg$.) d. Explain why the operation $\underline{\vee}$ is called exclusive or.

Write a logical expression that describes the network at the right.

For statements P, Q and R, show that $(P \vee Q) \Rightarrow R$ and $(P \Rightarrow R) \wedge(Q \Rightarrow R)$ are logically equivalent.

Writing Logical Comparisons. Write a sentence that makes the comparison specified in each of the following items. Make sure that your comparisons are balanced and logical. Compare the humor on two television shows.

Complete these sentence logically with verbs from your vocabulary. Yo _____ cuando no quiero decir la verdad.

Show that two compound propositions are logically equivalent. To do this, either show that both sides are true, or that both sides are false, for exactly the same combinations of truth values of the propositional variables in these expressions (whichever is easier). Show that (p → r) ∧ (q → r) and (p ∨ q) → r are logically equivalent.

_____ logical conclusion based on gathered information

For which of the following would you use the case logic structure? State why or why not.

a. The cost of a car given 10 models.

b. The cost of a car given 7 ranges of the cost of cars.

c. Population of a state given 50 states.

d. Average temperature of a given month.

e. Months having a given average temperature.

f. Bonus given commission.

g. Temperature zone given a city’s average temperature.

h. Cost of books for a semester.

Use truth tables to determine whether or not the pairs of statements are logically equivalent. $p \leftrightarrow q$ and $( p \rightarrow q ) \wedge ( q \rightarrow p )$

A logical function is a function that works with values that are either ____.