Let P(x) be "x is a student in this class," Q(x) be "x knows how to write programs in Python," and R(x) be "x can get a good job," where the domain of x consists of all people. Write the following argument in argument form and use the rules of inference to show that the argument is valid. Tom is a student in this class. Tom knows how to write programs in Python. Everyone who knows how to write programs in Python can get a good job. Therefore, some student in this class can get a good job.

For this problem, the domain is the set of all solar system objects:P(x) means x is a PlanetM(x) means x is a MoonO(x, y) means x orbits y Formulate the following statements using predicate logic.  1. All planets orbit the sun and all moons orbit a planet.2. Some planets have no moon.3. Some planets have two or more moons.4. Some objects orbit the sun that are not planets5. Everything that orbits the sun is a planet.(Also prove that this statement is the negation of the previous statement)

Proficiency Redos Proficiency #4. Write the negation of each of the following statements, simplified so that no compound statement (of more than one statement) is negated. (For example, ¬(P V Q) would not be allowed, but ¬P → ¬Q would be.) (a) P → Q (b) (PV Q) ^ R

Ggg

Translate argument into symbolism of Predicate Logic and use the RAA method to show validity of argument. Argument: There are engines that cannot be repaired. But combustible engines can be repaired. Therefore, some engines are non combustible. (Nx: x is an engine; Rx: x can be repaired; Cx: x is a combustible engine)

Show all work.

Give an example of a statement in the following logic form by using D = {1,6,8} and identify your P(x), then prove or disprove it. Q1. A true universal statement, VxED, P(x). Q2. A false universal statement, VxED, P(x).

Decide whether the argument is valid or a fallacy, and give the form that applies. You'll love it, or you'll hate it. You won't hate it. You'll love it. ... Let p be the statement "you'll love it," and q be the statement "you'll hate it." The argument is by or [(P → 9) ^ p] → q, [(P → 9) ^ -q] → -p. [ (р — 9) ла] — р, [(p v q) A -a] → p, [(P → 9) ^ -p] → ~q, [(P → 4) ^ (4 → r)] - (P → r),

Please do exactly as the question  ins tructs you toi. Thank you!

Complete the logical proof for the following argument. ExP(x) Vx(P(x) → Q(x)) Step Proposition Justification ExP(x) Hypothesis 2 c is an element in the domain AP(c) essential specification c is an element in the domain essential specification vx(P(x)¬Q(x)) Hypothesis 5 P(c) → Q(c) Universal Specification, 6 P(c) Simplification, 2 7 Q(c) ExQ(x) Conclusion 4.