In logic, an inverse is a type of conditional sentence which is an immediate inference made from another conditional sentence. More specifically, given a conditional sentence of the form , the inverse refers to the sentence . Since an inverse is the contrapositive of the converse, inverse and converse are logically equivalent to each other. For example, substituting propositions in natural language for logical variables, the inverse of the following conditional proposition "If it's raining, then Sam will meet Jack at the movies." would be "If it's not raining, then Sam will not meet Jack at the movies." The inverse of the inverse, that is, the inverse of , is , and since the double negation of any statement is equivalent to the original statement in classical logic, the inverse of the inverse is logically equivalent to the original conditional . Thus it is permissible to say that and are inverses of each other. Likewise, and are inverses of each other. The inverse and the converse of a conditional are logically equivalent to each other, just as the conditional and its contrapositive are logically equivalent to each other. But the inverse of a conditional cannot be inferred from the conditional itself (e.g., the conditional might be true while its inverse might be false). For example, the sentence "If it's not raining, Sam will not meet Jack at the movies" cannot be inferred from the sentence "If it's raining, Sam will meet Jack at the movies" because in the case where it's not raining, additional conditions may still prompt Sam and Jack to meet at the movies, such as: "If it's not raining and Jack is craving popcorn, Sam will meet Jack at the movies." In traditional logic, where there are four named types of categorical propositions, only forms A (i.e., "All S are P") and E ("All S are not P") have an inverse. To find the inverse of these categorical propositions, one must: replace the subject and the predicate of the inverted by their respective contradictories, and change the quantity from universal to particular. That is: * "All S are P" (A form) becomes "Some non-S are non-P". * "All S are not P" (E form) becomes "Some non-S are not non-P". (Wikipedia).
Math 030 Calculus I 031315: Inverse Functions and Differentiation
Inverse functions. Examples of determining the inverse. Relation between the graphs of a function and its inverse. One-to-one functions. Restricting the domain of a function so that it is invertible. Differentiability of inverse functions; relation between derivatives of function and
From playlist Course 2: Calculus I
Step by step find the inverse of the reciprocal function
👉 Learn how to find the inverse of a rational function. A rational function is a function that has an expression in the numerator and the denominator of the function. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the
From playlist Find the Inverse of a Function
Learn step by step to find the inverse of a function
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Finding the inverse of a function- Free Online Tutoring
👉 Learn how to find the inverse of a linear function. A linear function is a function whose highest exponent in the variable(s) is 1. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the inverse of a function is that whe
From playlist Find the Inverse of a Function
Learn step by step how to find the inverse of an equation, then determine if a function or not
👉 Learn how to find the inverse of a linear function. A linear function is a function whose highest exponent in the variable(s) is 1. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the inverse of a function is that whe
From playlist Find the Inverse of a Function
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Today we go in depth and talk about conditionals, including the converse, inverse, and contrapositive. We also talk about if, only if, if and only if. Visit my website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW *--Playlists--* Discrete Mathematics 1: https://www.y
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From playlist Discrete Math (Full Course: Sets, Logic, Proofs, Probability, Graph Theory, etc)
mod-25 lec-26 Introduction to Fluid Logic
Fundamentals of Industrial Oil Hydraulics and Pneumatics by Prof. R.N. Maiti,Department of Mechanical Engineering,IIT Kharagpur.For more details on NPTEL visit http://nptel.ac.in
From playlist IIT Kharagpur: Fundamentals of Industrial Oil Hydraulics and Pneumatics (CosmoLearning Mechanical Engineering)
How to find the inverse of a rational function
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Automated Theorem Proving and Axiomatic Mathematics
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From playlist Wolfram Technology Conference 2019
Learn to show that the converse and inverse are logically equivalent statements
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From playlist Logically Equivalent Statements
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In this episode, we take a look at how to build the logic unit for our proof of concept! Of course, if we want to breadboard things, sometimes we have to simplify a little further, so we actually build a proof of concept for our proof of concept – Inception style. Here's more info on the
From playlist Vacuum Tube Computer
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
MIT 6.042J Mathematics for Computer Science, Spring 2015 View the complete course: http://ocw.mit.edu/6-042JS15 Instructor: Albert R. Meyer License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 6.042J Mathematics for Computer Science, Spring 2015
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In this video I talk about conditional statements, truth tables, and logical equivalence. This knowledge sets us up to be able to do some fun proofs! Be looking out for those videos! Facebook: https://www.facebook.com/braingainzofficial Instagram: https://www.instagram.com/braingainzoffi
From playlist Discrete Math
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Pour tout groupe réductif G sur un corps de fonctions, on utilise la cohomologie des champs de G-chtoucas à pattes multiples pour démontrer la correspondance de Langlands pour G dans le sens "automorphe vers Galois''. On obtient en fait une décomposition canonique des formes automorphes cu
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Learn the steps to finding the inverse of the reciprocal function
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From playlist Find the Inverse of a Function