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an argument is represented below. premise 1: this milk has soured, or i…

Question

an argument is represented below.

premise 1: this milk has soured, or i have the flu.
premise 2: the milk has not soured.
conclusion: i have the flu.

assume \\(p\\) represents \the milk has soured\ and \\(q\\) represents the statement \i have the flu.\

a. write premise 1 in symbolic notation:
b. write premise 2 in symbolic notation:
c. write the conclusion in symbolic notation:
d. use a truth table to evaluate the argument. is this argument valid?

  • no, this answer is invalid.
  • yes, this argument is valid.

Explanation:

Translate the premises and conclusion into symbolic notation

$$ LATEXBLOCK0 $$

Construct the truth table to evaluate the argument

$$ LATEXBLOCK1 $$

Determine argument validity

$$ LATEXBLOCK2 $$

Answer:

Question a

Write Premise 1 in symbolic notation: <blank>\(p \lor q\)</blank>

Question b

Write Premise 2 in symbolic notation: <blank>\(\sim p\)</blank>

Question c

Write the Conclusion in symbolic notation: <blank>\(q\)</blank>

Question d

Use a truth table to evaluate the argument. Is this argument valid?

  • No, this answer is invalid.
  • Yes, this argument is valid. (Correct answer)