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 \( ___ ___ __________ ____ ________.
____ _________ ________ ____ ______ __________ ___.
___ _______ _________ _____ ____ _______ ________.
____ ___ ______ ___ ______ ___ ____ ____ ______ ______ ________.
____ ___ ___ ____ ______ _________.
___ _______ ________ ____ ________ ______ _____ _____.
_______ ______ ________ __________ _____ _____.
_____ ______ ___ _____ _______ ____.
___ ___ _________ __________ _____ _______ ____ _______ ____ ______.
______ _____ ______ _________ _____ ________.
_______ ___ _________ ________ ________ ____.
______ ______ ____ __________ ______.
______ ____ __________ _____ ________ ________ ______ __________ ________ ________ _______.
_____ ________ ________ _____ ________ ___.
_____ __________ ________ ________ ________.
________ _____ _____ ________ _____ __________ _____ __________ _________.
__________ ___ ____ _____ ___ __________.
__________ ____ _____ ________ _______ _______.
___ _________ _______ ____ ____ ______ ___ _______ ________ _____ ___ _______.
___ _______ ____ _____ ____ ____ _______.
__________ _________ __________ _________ ____ ______ _________ _______ ____.
_________ ________ ______ _____ __________ __________ ______ _____ __________.
________ ____ _____ ________ ____.
_______ ___ _________.
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