Consider the Following Theorem: If N Is an Even Integer

question 169

Essay

Consider the following theorem: If n is an even integer, then n + 1 is odd. Give a proof by contradiction of this theorem.

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Definitions:

Fallacy

An error in reasoning that renders an argument logically invalid, often due to a misconception or a misapplication of a principle.

Error In Reasoning

A mistake or flaw in the logical process of deducing conclusions, often leading to incorrect or invalid arguments.

Premise

A statement or proposition from which another is inferred or follows as a conclusion, used as the basis for an argument.

Subjectivism

A philosophical stance asserting that knowledge and value are influenced by and dependent upon personal perspectives and experiences.