Syllogism — Players, educated, and cultured: Statements: (a) All players are educated. (b) All educated are cultured. Inferences: I. All players are cultured. II. All cultured persons are players.

Introduction / Context:This is a direct application of transitivity in set inclusion.

Given Data / Assumptions:

• Player ⊆ Educated.
• Educated ⊆ Cultured.

Concept / Approach:Chain the inclusions to get Player ⊆ Cultured. The converse Cultured ⊆ Player is not implied.

Step-by-Step:1) Player ⊆ Educated and Educated ⊆ Cultured.2) Hence Player ⊆ Cultured (I follows).3) II incorrectly reverses the subset relation.

Verification:Model with many cultured non-players refutes II while preserving the premises.

Final Answer:Only inference I follows.