1. ∼(∃X)Ax 2. (∀X)∼Ax ⊃ ∼(∃X)Bx

question 282

Multiple Choice

1. ∼(∃x) Ax
2. (∀x) ∼Ax ⊃ ∼(∃x) Bx
-Which of the following propositions is an immediate (one-step) consequence in M of the given premises?

• A) ∼(∀x)Ax ⊃ (∃x)∼Bx
• B) Ax
• C) ∼Ax
• D) ∼(∃x)Ax ⊃ (∃x)∼Bx
• E) ∼(∃x)Ax ⊃ ∼(∃x)Bx

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Definitions:

Circular Reasoning

A logical fallacy where the conclusion of an argument is used as a premise of the argument itself.

Hypothetical

Involving or based on a suggested idea or theory rather than actual evidence.

Presupposition

Something assumed beforehand at the beginning of a line of argument or course of action.

Group Decision Making

The process by which a group of individuals come together to make a decision, typically through discussion and considering multiple perspectives.