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    Validity of Logic

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    Cheng
    The document presents a logic problem to test the validity of an argument using a truth table. The argument contains 4 statements: 1) Socrates has a new toga or didn't waste money, 2) Plato has cheese or oil, 3) Socrates wasted money and Plato doesn't have cheese, 4) Socrates has a toga and Plato has oil. The truth table is constructed and evaluated, with the conclusion being true in all rows where the premises are true. Therefore, the argument is considered valid.

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    Validity of Logic

    Uploaded by

    Cheng
    34 views2 pages
    The document presents a logic problem to test the validity of an argument using a truth table. The argument contains 4 statements: 1) Socrates has a new toga or didn't waste money, 2) Plato has cheese or oil, 3) Socrates wasted money and Plato doesn't have cheese, 4) Socrates has a toga and Plato has oil. The truth table is constructed and evaluated, with the conclusion being true in all rows where the premises are true. Therefore, the argument is considered valid.

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    The document presents a logic problem to test the validity of an argument using a truth table. The argument contains 4 statements: 1) Socrates has a new toga or didn't waste money, 2) Plato has cheese or oil, 3) Socrates wasted money and Plato doesn't have cheese, 4) Socrates has a toga and Plato has oil. The truth table is constructed and evaluated, with the conclusion being true in all rows where the premises are true. Therefore, the argument is considered valid.

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    34 views2 pages

    Validity of Logic

    Uploaded by

    Cheng
    The document presents a logic problem to test the validity of an argument using a truth table. The argument contains 4 statements: 1) Socrates has a new toga or didn't waste money, 2) Plato has cheese or oil, 3) Socrates wasted money and Plato doesn't have cheese, 4) Socrates has a toga and Plato has oil. The truth table is constructed and evaluated, with the conclusion being true in all rows where the premises are true. Therefore, the argument is considered valid.

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    of 2

    NAME:

    ACTIVITY@Validity OF LOGIC

    INSTRUCTIONS : THE PROBLEM BELOW IS ABOUT APPLICATION OF TRUTH TABLE.


    ANSWER THE PROBLEM USING THE TABLE (p, q, r, s), WHETHER SUCH ARGUMENT IS
    VALID OR INVALID. WRITE YOUR FINAL ANSWERS CLEARLY AND MUST BE READABLE.

    1. Use a truth table to test the validity of the argument.

    Let:

    Socrates has a new toga or he didn't waste 30 drachmas.


    Plato has a pound of feta cheese or a quart of olive oil.
    Socrates wasted 30 drachmas and Plato doesn't have a pound of feta cheese.
    Therefore, Socrates has a new toga and Plato has a quart of olive oil.

    Is it VALID or INVALID? Show your Table and highlight your JUSTIFICATION.


    A. Valid
    B. Invalid

    SOLUTION:

    P = Socrates has a new toga.


    Q = Socrates wasted 30 drachmas.
    R = Plato has a pound of feta cheese.
    S = Plato has a quart of olive oil.

    Symbolic Form:
    pvq
    rvs
    q ^ ~r
    Therefore, p^s

    Premise Premise Conclusion

    p q r s ~q ~r p v ~q rvs q ^ ~r (p v ~q) [(p v ~q) p^s {[(p v ~q) ^


    ^ (r v s) ^ (r v s)] (r v s)] ^ (q ^
    ^ (q ^ ~r) ~r)} →
    p^s

    T T T T F F T T F T F T T
    Premise Premise Conclusion

    T T T F F F T T F T F F T

    T T F T F T T T T T T T T

    T T F F F T T F T F F F T

    T F T T T F T T F T F T T

    T F T F T F T T F T F F T

    T F F T T T T T F T F T T

    T F F F T T T F F F F F T

    F T T T F F F T F F F F T

    F T T F F F F T F F F F T

    F T F T F T F T T F F F T

    F T F F F T F F T F F F T

    F F T T T F T T F T F F T

    F F T F T F T T F T F F T

    F F F T T T T T F T F F T

    F F F F T T T F F F F F T

    ANSWER:
    A. Valid. Since the conclusion is tautology, meaning, no row in which the conclusion is
    false while both premises are true; the argument is therefore valid.

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