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COS3761 Assignment 2 2023 (ANSWERS)
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  • Course
  • COS3761 - Formal Logic III (COS3761)
  • Institution
  • University Of South Africa (Unisa)

COS3761 Assignment 2 2023 (ANSWERS) ASSIGNMENT 2 Please note that this is a written assignment. You need to prepare and submit a document in Word or PDF format. Predicates D(x) x is a degree M(x, y) x is a major subject of y L(x, y) x loves y H(x, y) x hates y T(x, y) x takes y Consta...

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  • July 15, 2023
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  • 2022/2023
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  • cos3761 assignment 2 2023 answers

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  • University of South Africa (Unisa)
  • COS3761 - Formal Logic III (COS3761)
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, Answer:


Question 1.1:
∃x D(x) ∧ M(i, x)


Translation: There exists a degree x such that x is a major subject of Information Systems.


Question 1.2:
∀x (L(x, c) → T(x, c) ∧ M(c, x))


Translation: For all x, if x loves Computer Science, then x takes it as a major subject of a
degree.


Question 1.3:
∀x (L(x, c) → ¬H(x, i))


Translation: For all x, if x loves Computer Science, then x does not necessarily hate
Information Systems.


Question 1.4:
∃x (T(x, i) ⊕ T(x, c))


Translation: There exists an x such that either x takes Information Systems or x takes
Computer Science, but not both.


(Note: The symbol "⊕" represents exclusive OR, which means one of the statements is
true, but not both.)


Question 1.5:
∃x ∃y (T(x, y) ∧ H(x, y))


Translation: There exist x and y such that x takes y as a subject and x hates y.

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