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Law of Detachment ( also known as Modus Ponens (MP) ) says that if p=>q is true and p is true, then q must be true.

example:
If an angle is obtuse, then it cannot be acute.
Angle A is obtuse.
Therefore
Angle A cannot be acute.

The Law of Syllogism ( also called the Law of Transitivity ) states:
if p=>q and q=>r are both true, then p=>r is true.
example:

If the electric power is cut, then the refrigerator does not work.
If the refrigerator does not work, then the food is spoiled.
So if the electric power is cut, then the food is spoiled.
Law of Detachment also known as Modus Ponens (MP) says that if p=>q is true and p is true, then q must be true.

The Law of Syllogism is also called the Law of Transitivity and states: if p=>q and q=>r are both true, then p=>r is true.
In a nutshell, it's saying that if you have a conditional, and you have the antecedent, you then have the consequent. For example, we know that, "If it snows this winter, we will need to wear warm winter clothing outside." Suddenly it's mid-December and the forecast is snow. Therefore, it's probably the time to go shopping for winter clothes, if we don't already have any.

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Q: What is the Law of detachment?
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Related questions

Which geometric law states that if the conditional is true and its hypothesis is true then the conclusion is true?

Law of Detachment


Which is the law of detachment?

Please see the Related Link for a detailed explanation.


What are the laws of logic for geometry?

The law of detachment A -->B The law of contrapoitive Not B --> Not A The law of syllogism a --> b, b-->c, therefore a --> c


Law of detachment?

Law of Detachment also known as Modus Ponens (MP) says that if p=>q is true and p is true, then q must be true. The Law of Syllogism is also called the Law of Transitivity and states: if p=>q and q=>r are both true, then p=>r is true.


What are examples of law of detachment?

The law of detachment says that in cases where A implies B, if A is true, B must also be true. For example, if A says that this is a shark, and B says that it lives in the ocean, we can conclude that if A is true, B is also true, and it lives in the ocean.


What are the laws of inference?

Law of detachment Law of contropositive law of modus tollens chain rule (law of the syllogism) law of disjunctive infrence law of the double negation de morgans laws law of simplication law of conjunction law of disjunctive addition


What is the law f detachment?

Law of Detachment states if p→q is true and p is true, then q must be true. p→q p therefore, q Ex: If Charlie is a sophomore (p), then he takes Geometry(q). Charlie is a sophomore (p). Conclusion: Charlie takes Geometry(q).


What does law of detachment mean?

The law of detachment states that if a conditional statement is true and the hypothesis is also true, then the conclusion is true as well. It is a fundamental principle in deductive reasoning and helps in drawing logical conclusions based on given information.


The Law of Detachment and other laws of logic can be used to provide a system for reaching logical conclusions?

Yes, the Law of Detachment states that if "if p then q" is true and "p" is true, then "q" must be true. This, along with other laws of logic like the Law of Syllogism and the Law of Contrapositive, forms the foundation for making valid logical deductions and reaching sound conclusions based on given premises.


Use detachment in a sentence?

the entire detachment was killed or wounded.....................


What is the duration of Detachment film?

The duration of Detachment - film - is 1.67 hours.


When was Army Detachment Steiner created?

Army Detachment Steiner was created in 1945.