Prove the Following Claim

question 147

Essay

Prove the following claim:
If at least one member of a set of statements is self-contradictory,
then the set of statements is inconsistent.

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Definitions:

Syllogistic Steps

The procedural steps involved in forming or analyzing a syllogism, which is a form of reasoning involving two premises and a conclusion.

Objective

Relating to or denoting a way of judging or interpreting that is based on observable phenomena and uninfluenced by emotions or personal prejudices.

Empirical Evidence

Evidence that is based on observation or experience as opposed to theoretical or logical derivation.

Extended Argument

A complex form of reasoning that unfolds over a series of statements or propositions, each supporting the overall conclusion.