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- The law of detachment states that if a conditional statement is true and its antecedent is true, then the consequence must also be true. Recall that the antecedent is what follows the word “if” in a conditional statement. A consequence is what follows the word “then.”
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Law of Detachment Examples. What Is the Law of Detachment? The law of detachment states that if a conditional statement is true and its antecedent is true, then the consequence must also be true. Recall that the antecedent is what follows the word “if” in a conditional statement. A consequence is what follows the word “then.”
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.
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.
Jan 21, 2020 · Discover the two powerful laws of deductive reasoning, Law of Syllogism & Law of Detachment. Walk through 19 step-by-step examples for mastery!
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...
- 5 min
To illustrate the law of detachment, consider the following example. Example 1: Assume that the two premises below are true. What conclusions can be drawn? If it is raining, the baseball game will be cancelled. It is raining.
The law of detachment is a valid form of a conditional argument that asserts that if both the conditional, ..., and the hypothesis, ..., are true, then ...
