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  1. The law of detachment states that if the antecedent of a true conditional statement is true, then the consequence of the conditional statement is also true.

  2. Jul 28, 2023 · The law of detachment is a valid form of a conditional argument that asserts that if both the conditional, p → q p → q, and the hypothesis, p p, are true, then the conclusion q q must also be true. The law of detachment is also called affirming the hypothesis (or antecedent) and modus ponens.

  3. This free textbook is an OpenStax resource written to increase student access to high-quality, peer-reviewed learning materials.

  4. While much of symbolic logic revolves around finding the truth value of statements, we can also use it to write new truthful statements in certain situations. One of these situations involves the Law of Detachment, which states that if the following two statements are true: 1. If p, then q. 2. p.

  5. Nov 21, 2023 · The law of detachment is a way of using logic and geometry to determine if a statement is true based on the conditional statement given. If the conditional statement is true and the hypothesis is...

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  6. The Law of detachment insists that “if a statement (p->q) is true and p is true, then q must be true.” It navigates the world of angles and lines and eases the navigation of logical sequences and arguments in various fields.

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  8. In logic, the rule allowing inference from a formula A, and another read as ‘if A then B’ to the formula B. Another term for ...

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