Immediate inference | Rules of inference

Contraposition (traditional logic)

In traditional logic, contraposition is a form of immediate inference in which a proposition is inferred from another and where the former has for its subject the contradictory of the original logical proposition's predicate. In some cases, contraposition involves a change of the former's quality (i.e. affirmation or negation). For its symbolic expression in modern logic, see the rule of transposition. Contraposition also has philosophical application distinct from the other traditional inference processes of conversion and obversion where equivocation varies with different proposition types. (Wikipedia).

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Proof by Contraposition

More resources available at www.misterwootube.com

From playlist The Nature of Proof

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Learning to write the contrapositive of a conditional statment

👉 Learn how to find the contrapositive of a statement. The contrapositive of a statement is the switching of the hypothesis and the conclusion of a conditional statement and negating both. If the hypothesis of a statement is represented by p and the conclusion is represented by q, then the

From playlist Contrapositive of a Statement

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Writing the contrapositive statement from a conditional statement

👉 Learn how to find the contrapositive of a statement. The contrapositive of a statement is the switching of the hypothesis and the conclusion of a conditional statement and negating both. If the hypothesis of a statement is represented by p and the conclusion is represented by q, then the

From playlist Contrapositive of a Statement

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How to write the contrapositive from a conditional statement

👉 Learn how to find the contrapositive of a statement. The contrapositive of a statement is the switching of the hypothesis and the conclusion of a conditional statement and negating both. If the hypothesis of a statement is represented by p and the conclusion is represented by q, then the

From playlist Contrapositive of a Statement

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The Contrapositive and Proof by Contrapositive

The contrapositive is a powerful tool that can be used to prove various mathematical statements. It is most useful when a direct proof is awkward or impossible, and - if it can be used - is often a much more elegant method that employing proof by contradiction. #proof #contrapositive #proo

From playlist Proofs and Explanations

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How to determine the contrapositive of a conditional statement

👉 Learn how to find the contrapositive of a statement. The contrapositive of a statement is the switching of the hypothesis and the conclusion of a conditional statement and negating both. If the hypothesis of a statement is represented by p and the conclusion is represented by q, then the

From playlist Contrapositive of a Statement

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What are the different types of conditional statements

👉 Learn how to find the inverse, the converse, and the contrapositive of a statement. The contrapositive of a statement is the switching of the hypothesis and the conclusion of a conditional statement and negating both. If the hypothesis of a statement is represented by p and the conclusio

From playlist Converse, Inverse, Contrapositive Conditional Statements

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Write the conditional, converse, inverse, and contrapositive of the statement ex

👉 Learn how to find the inverse, the converse, and the contrapositive of a statement. The contrapositive of a statement is the switching of the hypothesis and the conclusion of a conditional statement and negating both. If the hypothesis of a statement is represented by p and the conclusio

From playlist Converse, Inverse, Contrapositive Conditional Statements

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What are the different forms of conditional statements

👉 Learn how to find the inverse, the converse, and the contrapositive of a statement. The contrapositive of a statement is the switching of the hypothesis and the conclusion of a conditional statement and negating both. If the hypothesis of a statement is represented by p and the conclusio

From playlist Converse, Inverse, Contrapositive Conditional Statements

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Contrapositive Statements - Logic

This video focuses on how to write the contrapositive of a conditional statement. In particular, this video shows students how to flip and negate a conditional statement. Furthermore, the concepts of truth value and logical equivalence is discussed. Your feedback and requests are encourag

From playlist Geometry

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Fundamentals Of Mathematics - Lecture 04: Implications

course page: http://www.uvm.edu/~tdupuy/logic/Math52-Fall2017.html videography - Eric Melton, UVM handouts - David Zureick-Brown, Emory

From playlist Fundamentals of Mathematics

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Showing that the conditional and contrapositive are logically equivalent

👉 Learn how to show that two statements are logically equivalent. Two statements are said to be logically equivalent if they contain the same logical content. i.e. if both statements convey the same meaning. A conditional statement and its contrapositive are logically equivalent. Also, the

From playlist Logically Equivalent Statements

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Proof Exercise: State the Contrapositive, Converse and Negation, Then Prove the Truth Value

This video explains how to determine the contrapositive, converse, and negation of a statement. Then the truth value is determine and a proof is provided. mathispower4u.com

From playlist Symbolic Logic and Proofs (Discrete Math)

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Proof by Contrapositive

The basic idea of proof by contrapositive + two examples! Comment below with questions, make sure to like / subscribe, and keep flexin' those brain muscles! Facebook: https://www.facebook.com/braingainzofficial Instagram: https://www.instagram.com/braingainzofficial

From playlist Proofs

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Contrapositive of a Conditional Statement

The contrapositive of "p implies q" is "not q implies not p". It looks quite different, but in fact is logically equivalent to the original conditional, which means we can use them interchangeably. Learning Objectives: 1) Identify the logical structure of the contrapositive to a conditi

From playlist Discrete Math (Full Course: Sets, Logic, Proofs, Probability, Graph Theory, etc)

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Determining that conditional and contrapositive are logically equivalent statements

👉 Learn how to show that two statements are logically equivalent. Two statements are said to be logically equivalent if they contain the same logical content. i.e. if both statements convey the same meaning. A conditional statement and its contrapositive are logically equivalent. Also, the

From playlist Logically Equivalent Statements

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Proof Techniques

Now that we know what connectives and quantifiers are, we can put that knowledge to use to figure out how to prove when statements of the form "For all x in D, if p(x), then q(x)" are true (or demonstrate that they are false).

From playlist Linear Algebra

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Introduction to Proof by Contrapositive: If n squared is even, then n is even

This video introduces the mathematical proof method of proof by contrapositive and provides an example of a proof. mathispower4u.com

From playlist Symbolic Logic and Proofs (Discrete Math)

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How to determine the converse inverse and contrapositive from a statement

👉 Learn how to find the inverse, the converse, and the contrapositive of a statement. The contrapositive of a statement is the switching of the hypothesis and the conclusion of a conditional statement and negating both. If the hypothesis of a statement is represented by p and the conclusio

From playlist Converse, Inverse, Contrapositive Conditional Statements

Related pages

Propositional calculus | Term logic | Converse (logic) | Contraposition | Categorical proposition | Obversion | Negation | Inference | Square of opposition | Transposition (logic) | Logical equivalence | Proposition | Immediate inference | Material conditional