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Logic Game!

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    Questions on Mathematical Logic Curated by Us
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  • What is the symbol used when we want to express “if and only if”?
    ↔ (biconditional)
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  • Write the following statements symbolically F: Yellow is a cool colour H: The number 3 is an odd number. “Yellow is not a cool colour and 3 is an odd number”
    ~F Λ H
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  • The truth table of disjunction is when (at least a true statement / both statements have the same truth value)
    at least a true statement
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  • Which one is correct for biconditional (↔) truth table?
    last row
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  • Write a compound statement for the conjunction p and q (p→~q) P : the sun is visible Q : the sky is overcast
    If the sun is visible then the sky is not overcast
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  • Statements that are true if and only if both statements are true is the truth table of ? ( a. Negation / b. Conditional / c. Conjunction / d. Biconditional )
    c. Conjunction
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  • A truth table displays _________________
    the relationship between truth values of statements
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  • Construct a truth table for ~p↔q
    as compiled
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  • What is the definition of statement?
    declarative sentence or assertion that is either True or False
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  • The symbol for implication
    arrow to the right
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  • What idea conjunction expresses?
    And
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  • What denotion do we use on truth value?
    T for true and F for false
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  • “Gaming is only for boys”. Negate the following statement.
    Gaming is not only for boys.
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  • p: I get good grades q: I am happy Write the following statements symbolically. “If I don’t get good grades then I am not happy”.
    ~p → ~q
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  • What is the symbol for disjunction?
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  • How many connectives are commonly used to form compound statements? Name them.
    5 - Negation, Conjunction, Disjunction, Implication, Equivalence
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