Exam 8: Reasoning With Syllogisms

For the next group of questions, consider the following argument: (1) If some of these fresh footprints belong to the fugitive, then he is still nearby.(2) But no footprint belonging to the fugitive is a size 10, (3) and some of these footprints are size 10.(4) So the fugitive is not still nearby. -What is the conclusion of the argument?

Suppose that p is the proposition "Some mushrooms are hallucinogens." What is the proposition not-p?

What is the form of the following proposition? Some people are frightened if a dog approaches.

If we began a murder investigation with five suspects, how many disjunctive syllogisms would be required to determine the culprit?

What type of hypothetical syllogism is the following? if $p$ , then $q$ not q not $p$

Is it possible for a single syllogism both to commit the fallacy of affirming the consequent and the fallacy of denying the antecedent?

What is the consequent of the proposition "This stain will not come out unless it is treated immediately"?

In disjunctive or hypothetical propositions, the component propositions are:

For the next group of questions, consider the following argument: It is clear that (1) a lot of people are not virtuous because (2) society is breaking down.You see, (3) no rude person is virtuous, and (4) if many people are rude, then society breaks down. -Of how many syllogistic steps does the argument consist?

When we write out the logical form of a compound proposition, the letters p and q are used to represent:

Which categorical proposition is logically equivalent to this hypothetical proposition? If p, then not q.

In the inclusive sense, "p or q" means:

What would the following proposition be in standard form? The faucet is still running, assuming that no one turned it off.

If an argument has a categorical conclusion, that suggests that the argument is:

Suppose that one premise of a disjunctive syllogism is "Some forts are not well protected or these knights are amazingly good at capturing forts" and the conclusion is "These knights are amazingly good at capturing forts." What is the unstated premise?

Is the following syllogism valid? Tom is asleep or Tom is reading. Tom is asleep. Tom is not reading.

Which disjunctive proposition is logically equivalent to the following categorical proposition? No S is P.

The proposition p and the proposition not-p are:

Will two people distilling the same argument always find the same number of syllogistic steps and the same number of implicit propositions?

What would the following proposition be in standard form? The mail always arrives late on Saturdays.