Question

1. Translate the following English expressions into logical statements. You must explicitly state what the atomic propositions are (e.g., "Let p be proposition ...") and then show their logical relation.

a. If it is red then it is not blue and it is not green.

b. It is white but it is also red and green and blue.

c. It is black if and only if it is not red, green, or blue.

2. Determine if the following expressions are tautologies, contradictions, or contingencies by using only truth tables. Show all your work and do not skip any steps (i.e., ensure you that you include a new column for every single operation, and that you state at the endwhether each expression is a tautology, contingency, or contradiction).

a. ¬ (? ∧ (¬? ∨ (? → ?)))

b. (? ∨ (? ↔ (¬? ∧ (? ∨ ?))))

c. (? ∧ ¬ (? ∧ (? ∨ (? ↔ ?))))

d. ¬ (? ∨ ¬(? → (? ∧ ?)))

Answer #1

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 16 minutes ago

asked 24 minutes ago

asked 30 minutes ago

asked 44 minutes ago

asked 58 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago