Apply quantification rules to prove the validity/invalidity of the following syllogistic arguments.

i) All dogs are animal. All animal are living being. Therefore, No dogs are living being.

ii) Some philosophers are Women. All philosophers are studious persons. Therefore some studious persons are women.

iii) No men are mortal. Ram is a man. Therefore, Ram is not mortal.

iv) Some musicians are singer. Some cricketers are singer. Therefore some musicians are cricketers.

i) Argument: All dogs are animal. All animals are living beings. Therefore, no dogs are living beings.

• Quantification Rules:
  • "All dogs are animals" can be written as: ∀x (Dog(x) → Animal(x)).
  • "All animals are living beings" can be written as: ∀x (Animal(x) → LivingBeing(x)).
  • The conclusion, "No dogs are living beings," can be written as: ∀x (Dog(x) → ¬LivingBeing(x)).
• Analysis:
  • From the first premise, ∀x (Dog(x) → Animal(x)), and ________ ___ __________ ____ ______ ______ ________ ______ ________ __________.
    ______ _________ ____ ________ ____.
    ________ ________ ____ ___ ___ ___ _____ __________ _______ ________ ___ _________.
    ____ _________ _______ _______ _________ _____ ____.
    ____ ________ _____ _____ __________ _____.
    ____ _______ _________ __________ ______ _____ _______ ____ ________ ______ _______.
    _________ ____ ____ ______ _______ ___.
    ___ __________ ______ ________ ____.
    ______ __________ _______ ____ _________ _____ __________ _________ ___ _______.
    ___ _______ _____ _____ ______ ___ ________.
    ________ _____ _____ ____ ____ ______ ______ _______ _________ _________ ________.
    ____ _______ ________ _______ _____ _________ _______ _________ __________ ____.
    ______ ________ _______ ________ ____ __________ _________.
    ___ __________ ________ _______ _________ ______ _________ _______ ________ _____.
    ____ _______ ___ ________ ______ __________ __________ ___.
    ______ ____ _______ ______ ___ ____ _________ ______.
    ______ __________ ______ ______ ________ __________ ____ ________ _______.
    ________ _______ ______ ___ ________ __________ ___.
    ____ ___ __________ _____ _________ __________ ___ _______ _____.
    _____ ________ _____ _____ ______ ___.
    ______ ____ __________ ______ _____ _________.
    _________ _______ ______ _____ __________ __________ _________.
    ___ ____ _______ _______ _____ __________ ______ ________ ____ _____.
    _____ ___ ______ __________ ________ ____ ______ _____ _________ __________.
    _________ ______ ___ ________ ____ __________ _________ ________ ____ _________ _______.
    _____ _______ ______ __________ _____ ________ _________ ___ _________.
    _________ _____ ____ _________ __________.
    _________ _____ ___ ______ _____ __________.
    _______ __________ _________ _____ ___ _____ _____ __________ _________ _________ ___.
    __________ ________ _________ ________ ________ ____.
    ______ _______ ______ ________ ______ ____ ____ _________ ____.
    ____ _________ _________ _______ ___.
    ________ ___ ___ ______ ______ ______ ____ _________ __________ ___ __________ __________.
    _________ ____ ____ ______ _____.
    _____ _______ ______ ___ ___ ______ ______ _______ ________.
    ___ ______ ____ ____ _______ ______ __________ ________ _____ ____ _______.
    _______ ___ __________ __________ _____ _______ _____ _____ _____ _______.
    ________ ___ ________ _______ ___ ______ ___ __________ ________.
    _____ _____ ____ __________ ________ ____ ____ ______ ___.
    _______ _____ __________ __________ ________ ____.
    ________ ___ __________ ___ _______ ________ ____.
    ____ ____ ________ ____ ___ ___ ______ _________.
    _____ ____ ___ ________ ________ __________ _____.
    __________ ____ _________ _________ ____.
    _______ _____ ___ _________ ___ ___ _________.
    __________ _______ ____ _______ ______ _____.
    ___ __________.
    Get Full Answer on WhatsApp