Logical Reasoning

PT138 · S2 · Q18 Every delegate to the convention

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Every delegate to the convention is a party member.

Given

Every delegate to D → PM the convention is a party member.

Some delegates D ↢some↣ GO to the convention are government officials.

Each government GO → S official who is at the convention is a speaker at the convention, as well.

18.

If the statements above are true, then which one of the following statements must be true?

  1. Every party member at the

    Reversal

    This reverses the first premise. PM → D

    3% picked this

  2. At least some speakers at

    Unsupported Relationship

    It can be inferred that S ↢some↣ D + PM some speakers are both delegates and party members. But it does not follow S ↢some↣ ~D + ~PM that some speakers are neither delegates nor party members.

    5% picked this

  3. Correct

    At least some speakers at

    Why this is right

    Some delegates to the D ↢some↣ GO convention are government officials. Each government GO → S official who is at the convention is a speaker at the convention, as well. D ↢some↣ S It follows that some speakers at the convention are delegates to the convention.

    Skill tested: Must be True · how this choice captures the argument's function is the move to repeat next time.

    76% picked this

  4. All speakers at the convention

    Reversal

    This reverses the GO → S third premise.

    3% picked this

  5. Every government official at the

    Too Strong

    Every delegate to the D → PM convention is a party member. Some delegates to D ↢some↣ GO the convention are government officials. So it follows that GO ↢some↣ PM some government officials at the convention are party members. But to say that every GO → PM government official at the convention is a party member goes too far.

    12% picked this

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