Syllogism — Schools, laboratories, and theatres: Statements: (a) Some schools are Laboratories. (b) All Laboratories are theatres. Conclusions: I. Some theatres are schools. II. No school is a theatre.

Introduction / Context:We track a particular group through a universal inclusion.

Given Data / Assumptions:

• Some Schools are Laboratories.
• All Laboratories are Theatres.

Concept / Approach:Those Schools that are Laboratories must also be Theatres, so an overlap between Theatres and Schools is guaranteed. The universal negative in II contradicts this.

Step-by-Step:1) Take the Schools that are Laboratories (exist).2) Map via Laboratory ⊆ Theatre to conclude they are Theatres.3) Therefore, ∃ (School ∩ Theatre): I follows and II is false.

Final Answer:Conclusion I follows.