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Chapter 3: Problem 22
Write the converse, inverse, and contrapositive of each statement. If it is blue, then it is not an apple.
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Use the standard forms of valid arguments to draw a valid conclusion from the given premises. If all electricity is off, then no lights work. Some lights work. Therefore, ...
In the Sixth Meditation, Descartes writes I first take notice here that there is a great difference between the mind and the body, in that the body, from its nature, is always divisible and the mind is completely indivisible. Descartes's argument can be expressed as follows: All bodies are divisible. No minds are divisible. Therefore, no minds are bodies. Use an Euler diagram to determine whether the argument is valid or invalid.
Use the standard forms of valid arguments to draw a valid conclusion from the given premises. You exercise or you do not feel energized. I do not exercise. Therefore, ...
Draw a valid conclusion from the given premises. Then use a truth table to verify your answer. If you only spoke when spoken to and I only spoke when spoken to, then nobody would ever say anything. Some people do say things. Therefore, ...
Use a truth table to determine whether the symbolic form of the argument is valid or invalid. $$ \begin{aligned} &p \leftrightarrow q \\ &\underline{q \rightarrow r} \\ &\therefore \sim r \rightarrow \sim p \end{aligned} $$
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