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Let  be the predicate    with domain for both  and  the set

(1) Use modus ponens or modus tollens to fill in the blank in the following argument so as to produce a valid inference.   If  is divisible by 5 or is divisible by 5, then the product is divisible by 5.   The product is not divisible by 5.

The resting place at the end of a phrase is called a:

Musical sounds are represented by symbols called:

The first note of the scale is called the:

Explain why philosophers think that merely having true belief is not enough for knowledge.  Use a specific example to make your case.  Next explain what is needed in your example in order for the individual to have knowledge.

Determine the strength of the support relation between the premises and the conclusion for the following argument.  Explain why you think the way you do.   (P1) All birds can fly. (P2) Everything that can fly is a bird. (C) Thus, all and only birds can fly.

For the following passage, first decide whether or not the passage contains an argument.  If it does not, then select “no argument.” If the passage contains an argument, then identify the statement in quotes as either a premise or the conclusion.   U.S. food producers feed livestock 20 million tons of plant protein per year that could be consumed by humans, and the livestock yields only 2 million tons of protein. “The livestock yields only 2 million tons of protein.”

For the following passage, first decide whether or not the passage contains an argument.  If it does not, then select “no argument.” If the passage contains an argument, then identify the statement in quotes as either a premise or the conclusion.   Using contraceptives is immoral, for whatever is unnatural is immoral. And contraception is definitely unnatural. “Using contraceptives is immoral.”

Interpret the following argument, putting it in premise and conclusion form.   There’s no doubt that social media has led to mental unhealth among today’s young people.  They spend on average seven hours per day on social media, and social media is always making them think that their lives are not as good as others.