Question

Translate each of the following sentences into the Blocks language of Tarski’s World. containing the 5 Blocks .

A. f is either a tetrahedron or large, but it isn't in back of a.
B. c is not both large and a dodecahedron.
C. Either e or d is a dodecahedron, but not both of them are
D. d neither adjoins e nor is larger than e.
E. Either c is not small or f is not small.

Answer 1

The sentences from the student's question have been translated into the formal language of Tarski's World, which includes logical expressions using predicates and logical operators to describe relationships between blocks.

Step-by-step explanation:

The question asked by the student requires translating sentences into the symbolic language of Tarski's World, which is an educational software for teaching the semantics of first-order logic. The sentences involve logical descriptions of relations between various blocks.

Translations into Tarski's World Language:

1. A: Tet(f) ∨ Large(f) & ¬ BackOf(f, a).
2. B: ¬(Large(c) & Dodec(c)).
3. C: (Dodec(e) ∨ Dodec(d)) & ¬(Dodec(e) & Dodec(d)).
4. D: ¬Adjoins(d, e) & ¬Larger(d, e).
5. E: ¬Small(c) ∨ ¬Small(f).

Each statement has been converted to use logical operators such as conjunction (∧), disjunction (∨), negation (¬), and predicates that are commonly used in Tarski's World such as 'Tet' for tetrahedron, 'Dodec' for dodecahedron, 'Small' for small, 'Large' for large, etc.