Mathematical logic | Metalogic | Equivalence (mathematics) | Logical consequence
In logic and mathematics, statements and are said to be logically equivalent if they have the same truth value in every model. The logical equivalence of and is sometimes expressed as , , , or , depending on the notation being used.However, these symbols are also used for material equivalence, so proper interpretation would depend on the context. Logical equivalence is different from material equivalence, although the two concepts are intrinsically related. (Wikipedia).
SEM_012 - Linguistic Micro-Lectures: Equivalence (Logic)
What is a equivalence (in logic) and how is it used? Within less than two minutes Prof. Handke discusses and exemplifies the truth-conditions associated with this logical operator.
From playlist Micro-Lectures - Semantics
Equivalence Relations Definition and Examples
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Equivalence Relations Definition and Examples. This video starts by defining a relation, reflexive relation, symmetric relation, transitive relation, and then an equivalence relation. Several examples are given.
From playlist Abstract Algebra
This video focuses on how to write the converse of a conditional statement. In particular, this video shows how to flip the hypothesis and conclusion of a conditional statement. The concepts of truth value and logical equivalence are explored as well. Your feedback and requests are encour
From playlist Geometry
Put all three properties of binary relations together and you have an equivalence relation.
From playlist Abstract algebra
Equivalence relations -- Proofs
This lecture is on Introduction to Higher Mathematics (Proofs). For more see http://calculus123.com.
From playlist Proofs
Discrete Math - 1.3.3 Constructing New Logical Equivalences
We use known logical equivalences to prove new logical equivalences providing reasoning for each step. Textbook: Rosen, Discrete Mathematics and Its Applications, 7e Playlist: https://www.youtube.com/playlist?list=PLl-gb0E4MII28GykmtuBXNUNoej-vY5Rz
From playlist Discrete Math I (Entire Course)
Equivalences and Partitions, Axiomatic Set Theory 2 2
Defining equivalences and partitions of sets, and proving some theorems about their relations to each other. My Twitter: https://twitter.com/KristapsBalodi3 Equivalence Relations:(0:00) Partitions:(9:22) Connecting Equivalence and Partitions:(14:09) Representatives:(27:04)
From playlist Axiomatic Set Theory
Learn to show that the converse and inverse are logically equivalent statements
š 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
Basic Methods: We define tautology and contradiction and consider the conditions of logical equivalence and implication. Examples include DeMorgan's Laws for logic, modus ponens, and the Law of the Excluded Middle. As a final note, we introduce the Substitution Rules.
From playlist Math Major Basics
Introduction to Logically Equivalent Statements
This video introduces logically equivalent statements and defines De Morgan's laws, implications are disjunctions, double negation, and negation of an implication. mathispower4u.com
From playlist Symbolic Logic and Proofs (Discrete Math)
3 Ways to Show a Logical Equivalence | Ex: DeMorgan's Laws
DeMorgan's Laws are two important logical equivalences. In introducing these laws, I talk about three different ways by which you can demonstrate a logical equivalences: There are truth tables, citing known laws, and testing for reasonableness. *******************************************
From playlist Discrete Math (Full Course: Sets, Logic, Proofs, Probability, Graph Theory, etc)
Conditional Statements | Propositional Logic
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
Mathematica Sessions - Discrete Math - Episode 1 - Logic and Truth Tables
This is Episode 1 of a multi-episode series of videos on Discrete Mathematics. The Mathematica Sessions are approximately 1 hour teaching sessions, usually with someone I am tutoring, where I teach mathematics from within the Wolfram Mathematica software. In this Mathematica Session yo
From playlist Discrete Math
Determining that conditional and contrapositive are logically equivalent statements
š 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
logical equivalences -- proof writing examples 4
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From playlist Proof Writing
Undertale Propositional Logic (#SoME2)
I'm sorry I had to do it because of the memes. Crash course educational look of propositional logic with the motivation to show how to prove things through proof by contradiction and proof by contraposition. Honorable shoutouts to @blackpenredpen and @drpeyam. God bless Toby Fox! Timel
From playlist Summer of Math Exposition 2 videos
Discrete Math - 1.3.1 āProvingā Logical Equivalences with Truth Tables
This video focuses on showing that two compound propositions are equivalent using a truth table. Textbook: Rosen, Discrete Mathematics and Its Applications, 7e Playlist: https://www.youtube.com/playlist?list=PLl-gb0E4MII28GykmtuBXNUNoej-vY5Rz
From playlist Discrete Math I (Entire Course)