Question

Express the following statements in symbolic form.

i) There is a man in the park with blue eyes.

ii) Every blue-eyed man in the park is wearing a red hat.

iii) If a man wears no hat, then he has black eyes.

18 Feb 2025
Answer :
Word Count : 205

i) ∃x (M(x) ∧ P(x) ∧ B(x))  
   *(There exists a person \( x \) such that \( x \) is a man, \( x \) is in the park, and \( x \) has blue eyes.)*  

ii) ∀x [(M(x) ∧ P(x) ∧ B(x)) → R(x)]  
________ _________ _____ __________ _________ __________ _________.
______ ________ ___ ___ _________ ____ __________ _______.
________ ___ _________ _____ __________ _______ __________ _______ _____ _____.
__________ _______ ________ ______ _______ _________ _________ _________ ________ __________ __________.
_______ ________ __________ ________ ____ _________ _______.
________ _______ __________ __________ ____ _________.
_____ _______ _______ ______ ______ ______ ___ _________.
_____ ________ _________ _______ _______ ________.
________ _________ _______ _____ ____ ________ _____ ___ ______ _____ __________.
___ ______ ______ _______ ____ ______ ________.
_______ ____ ________ _________ ______ __________ _____ _________ ___ _____.
________ __________ ______ _____ ________ _________.
_______ __________ _________ _________ ___ _________ ______ __________ _______.
____ _____ ________ ________ _________ ______ _____ ______ __________ ____ ___ ____.
__________ ______ _____ ____ _____ ____ ___ ____ _______ _______ ___.
________ _______ ______ _______ ____ _________ ____ __________ __________ ______ ____.
____ _______ ____ ______ __________ ____ ______ _______ ______ __________ ___ ____.
_________ _________.
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