Immediate inference | Rules of inference
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).
More resources available at www.misterwootube.com
From playlist The Nature of Proof
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
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
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
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
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
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
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
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
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
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
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
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)
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
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)
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
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
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)
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