Describe how to state the converse, inverse, and contripositive of a conditional proposition. Make a truth table for cach. Which statement is logically equivalent to the original conditional? DOES IT MAKE SENSE? Decide whether each of the following statements makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning.

I've seen about $10^{50}$ commercials on TV. Decide whether the statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning.

Using the standard forms of arguments and other information you have learned, supply what you believe is a logical conclusion to the argument. Verify that the argument is valid for the conclusion you supplied. If the radio is a Superadio, then the radio is made by RCA. The radio is a Superadio. Therefore, ...

Complete each sentence with a logical adverb. The adjectives listed below provide the starting point for your adverb formation. Lento, especial, perfecto, proable, inteligente, rapido. Juan es un buen mecánico. _____ puede arreglar mi coche.

The Vazquez family is getting ready to order dinner in a restaurant. Look at the pictures to get an idea of the person´s needs. Answer the questions below using vocabulary that wpuld most logically go in each situation.
¿Como esta Elisita? ¿Que debe pedir de plato principal? ¿De postre? ¿Y para beber?

Robotics Leah programs an industrial robot with the following logical rules:
If there is a green item in the tray, paint it blue. If there is a blue item in the tray, attach a widget to it. What can Leah conclude will happen if she puts a green item in the robot's tray?

Determine whether each statement is always true or sometimes false. Explain your answer by giving a logical argument or a counterexample. Given two bases for the same inner product space, there is always a transition matrix from one basis to the other basis.

Examine and summarizes the logical argument Warren makes in the second half of the fourth paragraph. How does this section address the question of "intangible" quaalities mentioned in the precedent cases? Highlight evidence from the text that supports your response.

Consider the following propositions, and answer the questions that follow.

"If Lehman Brothers was no longer able to pay out on the losing bets that it had made, [then] somebody else suddenly had a huge hole in his portfolio." - Nate Silver, The Signal and the Noise

a. What is the logical conclusion (if any) in the event that Lehman Brothers cannot pay out on its losing bets?

b. What is the logical conclusion (if any) in the event that no one has a huge hole in his portfolio?

c. Can you draw any conclusion about what happens if Lehman Brothers does pay out on its losing bets?

let $p, q, r$, and $s$ be the following statements: $p: 4>1 ; q: 4<5 ; r: 3 \leq 3 ; s: 2>2$. Write the following statements in terms of $p, q, r$, and logical connectives. ( c) It is not the case that $2>2$ or $4>1$.

Guillame is talking to Mme Lomin$\'e$ at the bus stop. Decide whether these sentences could be logical part of their conversation or not. Ils ne r$\'e$pondent pas au t$\'e$l$\'e$phone avant 10h00 du matin.

Look at the posters that illustrate Huxley's essay. What modes of that illustrate Huxley's essay. What modes of persuasion-valid and faulty-do you see reflected in the words and images? List examples of logical, deceptive, and faulty modes of persuasion used in the posters.

Choose a logical verb from the box and provide its correct form to complete each sentence.

$$\begin{matrix} \text{cerrar} & \text{preferir} & \text{pensar}\\ \text{encender} & \text{empezar}\\ \end{matrix}$$

Marisol y su madre __________________ a cocinar.

Shown below is the prime implicant chart for a completely specified four-variable combinational logic function r(w, x, y, z). (a) Algebraically express r as a product of maxterms. (b) Give algebraic expressions for the prime implicants labeled A, C, and D in the table. (c) Find all minimal sum-of-product expressions for r. You do not have to give algebraic expressions; instead just list the prime implicants (A, B, C, etc.) required in the sum(s).

$$\begin{array}{c|cccccccccccc} & 0 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 13 & 14 & 15 \\ \hline \mathrm{A} & \times & \times & & & & & & & & & & \\ \mathrm{B} & & & \times & & \times & & & & & \times & & \times \\ \mathrm{C} & & & & \times & \times & & & & & & \times & \times \\ \mathrm{D} & & & & & & \times & \times & \times & \times & & & \\ \mathrm{E} & & & & & & & & \times & \times & & \times & \times \\ \mathrm{F} & & & & & & & \times & & \times & \times & & \times \\ \mathrm{G} & \times & & & & & \times & & & & & & \\ \mathrm{H} & & \times & \times & \times & \times & & & & & & & \\ & & & & & & & & & \end{array}$$