Question:
Choose the set in which the statements are most logically related.
A. Some beliefs are uncertain.
B. Nothing uncertain is worth dying for.
C. Some belief is worth dying for.
D. All beliefs are uncertain.
E. Some beliefs are certain.
F. No belief is worth dying for.
Choose the set in which the statements are most logically related.
A. Some beliefs are uncertain.
B. Nothing uncertain is worth dying for.
C. Some belief is worth dying for.
D. All beliefs are uncertain.
E. Some beliefs are certain.
F. No belief is worth dying for.
A. Some beliefs are uncertain.
B. Nothing uncertain is worth dying for.
C. Some belief is worth dying for.
D. All beliefs are uncertain.
E. Some beliefs are certain.
F. No belief is worth dying for.
Show Hint
A set is logically related when two of its statements, taken as premises, force the third statement as a conclusion (a valid syllogism). Test each option that way.
Updated On: Nov 7, 2026
- BDF
- BCD
- BEF
- ABF
Show Solution
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The Correct Option is A
Solution and Explanation
Step 1: Understand the task:
Find the set where one statement is the conclusion of the other two.
Step 2: Test option (D) BDF:
D: All beliefs are uncertain. B: Nothing uncertain is worth dying for. So no belief is worth dying for, which is F. So D and B together imply F.
Step 3: Check the others:
(A) ABF: A (some beliefs are uncertain) with B gives only that some beliefs are not worth dying for, not that none is. F does not follow.
(B) BCD: C contradicts the conclusion of B and D, so the set is inconsistent.
(C) BEF: E (some beliefs are certain) is irrelevant to B and F.
Final Answer:
The correct option is (1): BDF (D and B together give F).
Find the set where one statement is the conclusion of the other two.
Step 2: Test option (D) BDF:
D: All beliefs are uncertain. B: Nothing uncertain is worth dying for. So no belief is worth dying for, which is F. So D and B together imply F.
Step 3: Check the others:
(A) ABF: A (some beliefs are uncertain) with B gives only that some beliefs are not worth dying for, not that none is. F does not follow.
(B) BCD: C contradicts the conclusion of B and D, so the set is inconsistent.
(C) BEF: E (some beliefs are certain) is irrelevant to B and F.
Final Answer:
The correct option is (1): BDF (D and B together give F).
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