PHIL222 - Formal Logic

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Last updated 5:47 AM on 2/26/25
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14 Terms

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Logic
The science of truth that helps us become better at reasoning.
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Proposition
A declarative sentence that can be true or false, describing states of affairs.
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Non-contradiction (Exclusion)
A principle stating that a proposition cannot be both true and false at the same time.
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Excluded middle (Exhaustion)
A principle that states a proposition is either true or false, with no third option.
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Argument
A sequence of propositions where a conclusion is drawn from premises.
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Premises
Propositions that reflect facts or assumptions in an argument.
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Conclusion
The proposition derived from the premises in an argument.
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Validity
A property of an argument where the truth of the premises guarantees the truth of the conclusion.
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Soundness
An argument is sound if it is valid and all its premises are true.
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Negation
The opposite of a proposition, stating that the initial proposition does not hold.
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Conjunction
A compound proposition that claims both component propositions hold true.
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Disjunction
A compound proposition that claims at least one of the component propositions holds true.
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Conditional
A proposition stating that if one condition holds, then another will follow.
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Biconditional
A proposition stating two conditions are equivalent, true when both are true or both are false.