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

question 243

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) (∀x)(Px ⊃ Mx)
• ~(∃x)Px
• (∀x)(∀y)[(Px • Py) ⊃ Cxy]
• B) (∀x)(Mx ≡ Px)
• ~(∀x)Mx (∀x)[(∀y)Cxy ⊃ Py]
• C) (∀x)(Mx \( \lor \) Px)
• ~(∃x)Mx
• (∀x)[Px ⊃ ~(∀y)(Py ⊃ Cxy)]
• D) (∀x)(~Mx \( \lor \) Px)
• ~(∀x)(Px
• (∀x)[Px ⊃ (∀y)(Py ⊃ Cxy)]
• E) (∀x)(Mx ⊃ Px)
• ∼(∀x)Px
• (∀x)[∼Px ⊃ (∀y)(Py ⊃ Cyx)]

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Definitions:

Market Price

The immediate price point at which you can transact a service or asset in the open market.

Outstanding Shares

The total shares of stock that are owned by shareholders, including restricted shares.

Rights Offering

A financial mechanism in which current shareholders are given the right to purchase additional shares of the company at a specified price before the shares are offered to the public.

Market Price

The present cost for purchasing or selling a good or service in a specific market.