Exercises

Basic Logical Structures and Argumentation Quiz

Challenge your knowledge of basic logic and argumentation. This quiz covers conditional statements, logical equivalence, syllogisms, valid and invalid argument forms, modus ponens, modus tollens, and common reasoning errors such as denying the antecedent. You will also apply deductive reasoning to category statements about cats, animals, sailors, flowers, and roses, plus solve a classic handshake-counting problem. Use the quiz to strengthen your ability to identify what follows logically from a set of premises and distinguish sound reasoning structures from invalid conclusions.

Answer the questions below and check the explanation for each answer.

0/10 answered

  1. 1

    If all cats are animals, and some animals are dogs, what can we conclude?

  2. 2

    Which statement is logically equivalent to 'If it rains, then the ground is wet'?

  3. 3

    Assuming 'Some A are B', which of the following must be true?

  4. 4

    If 'All sailors are navigators' is true, which of the options is false?

  5. 5

    Which argument form is demonstrated: 'If P, then Q. P is false, so Q is false.'?

  6. 6

    From the statements 'All flowers bloom' and 'Roses are flowers', which conclusion is valid?

  7. 7

    What conclusion can be drawn from 'If T, then U' and 'U is false'?

  8. 8

    In a room, there are 10 people. If every person shakes hands with every other person once, how many handshakes occur?

  9. 9

    Which statement is NOT a valid argument: 'If R, then S. Not S, therefore not R'?

  10. 10

    Which logical reasoning structure is employed when concluding 'If X then Y. X, therefore Y'?

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