Derive the Conclusions of Each of the Following Arguments Using

question 213

Essay

derive the conclusions of each of the following arguments using the rules of inference for F, including the rules for identity.
-1. (∀x)(Ecx ⊃ x=d)
2. (∀x){(Fx • Gx) ⊃ (∀y)[(Fy • Gy) ⊃ y=x]}
3. (∃x)(Fx • Gx • Ecx)
4. Fa • Ga / a=d

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Definitions:

Exploited Class

A social group that suffers from exploitation by being forcefully deprived of accessing the full value produced by their labor, often discussed in the context of Marxist theory.

Bourgeoisie

Owners of the means of production, including factories, tools, and land. They do not do any physical labor. Their income derives from profits.

Means of Production

The resources—including tools, factories, and land—required to produce goods and services.

Social Classes

Divisions in society based on factors such as wealth, occupation, education, and power.