Deductive Reasoning quiz
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What is a basic statement accepted as true without proof?
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More questions about Deductive Reasoning
These visible examples show the question style. LearnClash turns the full topic into ranked duels and spaced repetition.
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What logical operation is true if at least one part is true?
Answer: Disjunction
Why: Standard disjunction is inclusive, so it holds true whether just one or both statements are true.
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What is a valid deductive argument called when all of its premises are true?
Answer: Sound
Why: An argument can be completely valid logically even if every single premise in it is factually false.
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How many of the 256 syllogisms are valid in Boolean logic?
Answer: 15
Why: Classical Aristotelian logic allowed 24 valid moods, but 9 fail modern scrutiny because they presuppose non-empty sets.
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Which fundamental law of logic states that a proposition and its negation cannot both be true?
Answer: Law of non-contradiction
Why: Aristotle argued that without non-contradiction, language loses meaning because any statement could mean its exact opposite.
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Which conditional form is logically equivalent to 'If P then Q'?
Answer: Contrapositive
Why: While the converse and inverse can have different truth values from the original statement, the contrapositive always matches it.
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What is the strongest logic with compactness and Löwenheim-Skolem?
Answer: First-order logic
Why: Lindström's theorem proves any logic more expressive than first-order logic sacrifices either compactness or Löwenheim-Skolem.
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