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Cos2661 Assignment 2 (100% Complete Answers) 2025 (800278) - Due 25 June 2025

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Formal Logic II - COS2661 Assignment 2 2025 (800278) - DUE 25 June 2025 ;100 % TRUSTED workings, Expert Solved, Explanations and Solutions. For assistance call or W.h.a.t.s.a.p.p us on ...(.+.2.5.4.7.7.9.5.4.0.1.3.2)........... Question 1 1.1 Give the tautological equivalence of the quantified sentence: ∃x ¬P(x). Explain your answer (2) 1.2 Give the tautological equivalence of the quantified sentence: ∀x ¬P(x). Explain your answer. (2) 1.3 For the following sentence, determine whether the indicated pairs of sentences are tautologically equivalent. Use truth tables to show your answer. A ↔ B and (A ∧ B) ∨ (¬A ∧ ¬B) Question 2 Study the table below and, translate the following English sentences into FOL. English Names David david Temba temba Patty patty Cathy cathy Cyprian College cc Predicates x is a student in y Student(x, y) x is a teacher Teacher(x) x is a pri

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COS2661
ASSIGNMENT 2 2025

UNIQUE NO. 800278
DUE DATE: 25 JUNE 2025

, COS2661

Assignment 2 2025




Unique Number: 800278

Due Date: 25 June 2025

Formal Logic II

Question 1 [8 Marks]

1.1

Tautological equivalence of: ∃x ¬P(x)

Answer:
¬∀x P(x)
Explanation: This equivalence is based on the principle that "there exists an x such
that P(x) is not true" is logically the same as "it is not true that P(x) holds for all x".




1.2

Tautological equivalence of: ∀x ¬P(x)

Answer:
¬∃x P(x)
Explanation: "For all x, P(x) is false" is logically equivalent to "there does not exist any
x such that P(x) is true".
Connected book
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Richard Jeffrey Formal Logic
Publisher: 2006 ISBN: 9781624666063 Edition: Unknown

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