Consider the following phrase: Statement: All C are J. All J are B. No B is R.…

Concept: In categorical syllogisms, a universal statement of the form "All X are Y" can be validly converted to "Some Y are X" (since X is treated as a non-empty class), but it never licenses the reverse universal "All Y are X" unless that is stated separately. Containment chains also run in only one direction: if X is inside Y, and Y is inside Z, then X is guaranteed to be inside Z — not the other way round.

Application:

1. Combine "All C are J" with "All J are B": every member of C lies in J, and every member of J lies in B, so every member of C also lies in B. This chain runs only from C toward B.

2. Checking the conclusion that all B are C: this would need the chain reversed, i.e. every B contained in C. Nothing in the three statements establishes that direction, so this conclusion does not follow.

3. Checking the conclusion that some J are C: converting "All C are J" (treating C as non-empty) gives "Some J are C" directly, independent of how B relates to C. This conclusion does follow.

Cross-check: Nesting C inside J inside B on an Euler diagram confirms it — the C region sits fully within J, so J necessarily overlaps C, but B is drawn strictly larger than C, so no rule forces every point of B to lie inside C.

So, of the two conclusions, only the one stating that some J are C holds; the conclusion stating that all B are C does not follow from the statements.