Deductive Reasoning quiz

More questions about Deductive Reasoning

These visible examples show the question style. LearnClash turns the full topic into ranked duels and spaced repetition.

1. 1 Easy

   If A equals B and B equals C, which property deduces A equals C?

   Answer: Transitive property

   Why: This property also holds for inequalities, so if A is greater than B and B is greater than C, A must be greater than C.

2. 2 Medium

   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.

3. 3 Hard

   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.

4. 4 Easy

   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.

5. 5 Medium

   In logic, what is a conditional with a false first statement called?

   Answer: Vacuously true

   Why: A conditional claim only fails if the premise happens without the result, so a false starting premise makes it true by default.

6. 6 Hard

   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.