Consider the Following Domain, Assignment of Objects in the Domain $\lor$

question 57

Multiple Choice

consider the following domain, assignment of objects in the domain, and assignments sets to predicates.
Domain = {Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune, Pluto}
a = Mercury b = Jupiter c = Saturn d = Pluto
Mx = {Mercury, Mars}
Px = {Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune}
Cxy = {, , , , , , , , , ,
, , , , , , , , , , , , , , , , , , , , , , , , , }
-Given the customary truth tables, which of the following theories is modeled by the above interpretation?

• A) Ma • ~Mc
• (∃x)Cxc
• ∼(∃x)(∼Cxc • Mx)
• B) Ma • Mc (∃x)Ccx (∃x)(~Cxc • Mx)
• C) ~(Ma • Mc)
• (∃x)Ccx
• ~(∃x)(Cxc • Mx)
• D) ~(Ma \( \lor \) Mc) (∃x)Ccx
• ~(∃x)(Ccx • Mx)
• E) Ma ≡ ~Mc
• (∃x)Cax
• ~(∃x)(Cxc • ~Mx)

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Definitions:

Light

Electromagnetic radiation that can be perceived by the human eye, playing a critical role in vision and influencing various biological processes.

Conception

The process of fertilization where a sperm cell combines with an egg cell to form a zygote, marking the beginning of pregnancy.

Age of Viability

The stage of fetal development at which the fetus is considered capable of surviving outside the womb, typically around the 24th week of gestation.

Fetus's Lungs

The developing respiratory organs in a fetus, which undergo significant growth and maturation during pregnancy to prepare for air breathing after birth.