Asked by Sari & MarMar on May 03, 2024

verifed

Verified

Symbolize the following statement. No buildings in Iceland are air-conditioned.

A) (x) [(Bx • Lxi)  Ax]
B) (x) [(Bx • Lxi)  ~Ax]
C) (x) [(Bx • Lxi) • Ax]
D) (x) [(Bx • Lxi) • ~Ax]
E) None of these answers are correct.

Symbolize

Means to represent or stand for something else, especially an idea, quality, or concept, using symbols, objects, or signs.

Buildings

Structures with a roof and walls, such as houses, schools, and office buildings, designed for shelter, work, or other purposes.

Iceland

An island country located in the North Atlantic Ocean, known for its stunning landscapes and geothermal activity.

  • Convert detailed English declarations into accurate formal symbolic logic with precision.
  • Correctly depict expressions denoting affiliations, ownership, and qualities.
verifed

Verified Answer

PG
Paige GramlingMay 08, 2024
Final Answer :
B
Explanation :
Bx represents "x is a building in Iceland". Lxi represents "x is air-conditioned". The statement "No buildings in Iceland are air-conditioned" can be translated as "(x)[(Bx & Lxi) → ~Ax]", which is logically equivalent to "(x)[(Bx & Lxi) → ~Ax]".
Therefore, the symbolization "[Bx • Lxi) → ~Ax]" is equivalent to the given statement. Choice B represents this symbolization, while the other choices either have incorrect connectives or quantifiers.