Question 1
Temporal Statements:
All athletes who train regularly train for more than 6 hours daily.
All athletes who win medals are athletes who train regularly.
Some athletes who win medals are athletes who become famous.
Conclusions:
I. Some athletes who become famous train for more than 6 hours daily.
II. Some people who train for more than 6 hours daily are athletes who become famous.
III. All athletes who become famous are definitely athletes who win medals.
Temporal Syllogism Analysis:
Temporal syllogisms involve time-based conditions integrated with logical statements.
Logical Chain:
All athletes who win medals are athletes who train regularly + All athletes who train regularly train for more than 6 hours daily = All athletes who win medals train for more than 6 hours daily
Some athletes who win medals are athletes who become famous + All athletes who win medals train for more than 6 hours daily = Some athletes who become famous train for more than 6 hours daily
Checking Conclusions:
✓ Conclusion I: "Some athletes who become famous train for more than 6 hours daily" - FOLLOWS
✓ Conclusion II: "Some people who train for more than 6 hours daily are athletes who become famous" - Conversion of I - FOLLOWS
✗ Conclusion III: "All athletes who become famous are definitely athletes who win medals" - Only "some" given, not "all" - DOES NOT FOLLOW
Answer: Only conclusions I and II follow
Temporal syllogisms involve time-based conditions integrated with logical statements.
Logical Chain:
All athletes who win medals are athletes who train regularly + All athletes who train regularly train for more than 6 hours daily = All athletes who win medals train for more than 6 hours daily
Some athletes who win medals are athletes who become famous + All athletes who win medals train for more than 6 hours daily = Some athletes who become famous train for more than 6 hours daily
Checking Conclusions:
✓ Conclusion I: "Some athletes who become famous train for more than 6 hours daily" - FOLLOWS
✓ Conclusion II: "Some people who train for more than 6 hours daily are athletes who become famous" - Conversion of I - FOLLOWS
✗ Conclusion III: "All athletes who become famous are definitely athletes who win medals" - Only "some" given, not "all" - DOES NOT FOLLOW
Answer: Only conclusions I and II follow