Consider the Following Domain, Assignment of Objects in the Domain

question 70

Multiple Choice

consider the following domain, assignment of objects in the domain, and assignments sets to predicates.
Domain = {1, 2, 3, ..., 28, 29, 30}
a = 1
e = 21
b = 2
f = 23
c = 4
g = 27
d = 20
h = 29
Ex = {2, 4, 6, ..., 28, 30}
Ox = {1, 3, 5, ..., 27, 29}
Px = (2, 3, 5, 7, 11, 13, 17, 19, 23, 29}
Sxyz = The set of all triples such that the first is the sum of the second and third
{<2, 1, 1>, <3, 1, 2>, <3, 2, 1>, <4, 1, 3>, <4, 2, 2>, <4, 3, 1>, <5, 1, 4>, ... }
-Given the customary truth tables, which of the following theories is modeled by the above interpretation?

• A) Sgfc • Sgcf
• (∀x)(∀y)(∀z)(Sxyz ≡ Sxzy)
• B) Sgba • Sgab
• (∀x)(∀y)[(∀z)Sxyz ≡ (∀z)Sxzy]
• C) Seda • Sead
• (∀x)(∀y)(∀z)(Sxyz ≡ Szyx)
• D) Sfea • Sfae
• (∀x)(∀y)(∀z)(Sxyz ≡ Syxz)
• E) Sdba • Sdab
• (∀x)(∀y)[(∀z)(Sxyz ≡ (∀z)Syxz]

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Definitions:

Market Power

The ability of a firm or group of firms to manipulate the price or supply of a good or service in the market, often by limiting availability or by altering consumer demand through control of significant portions of the market.

Cartels

associations of independent businesses formed to control production, pricing, and marketing to monopolize a market or restrict competition.

Antitrust Laws

Legislation designed to promote fair competition for the benefit of consumers, preventing monopolies and other activities that restrict trade.

Cooperation

Cooperation refers to the act of working together towards a common goal or interest, often leading to mutual benefits and achievements.