Mathematical logic | Propositional calculus | Immediate inference | Propositions
In traditional logic, a contradiction occurs when a proposition conflicts either with itself or established fact. It is often used as a tool to detect disingenuous beliefs and bias. Illustrating a general tendency in applied logic, Aristotle's law of noncontradiction states that "It is impossible that the same thing can at the same time both belong and not belong to the same object and in the same respect." In modern formal logic and type theory, the term is mainly used instead for a single proposition, often denoted by the falsum symbol ; a proposition is a contradiction if false can be derived from it, using the rules of the logic. It is a proposition that is unconditionally false (i.e., a self-contradictory proposition). This can be generalized to a collection of propositions, which is then said to "contain" a contradiction. (Wikipedia).
The Difference Between an Expression and an Equation
This video explains the difference between an expression and an equation. Site: http://mathispower4u.com Blog: http://mathispower4u.wordpress.com
From playlist Introduction to Linear Equations in One Variable
How to solve a system of equations with three variables
👉Learn how to solve a system of three linear systems. A system of equations is a set of equations which are to be solved simultaneously. A linear equation is an equation whose graph is a straight line. The solution to a system of equations is a set of unique values of the variables for wh
From playlist 3 Examples: Solve a System of Three Equations
Solving and Graphing an inequality when the solution point is a decimal
👉 Learn how to solve multi-step linear inequalities having parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-step l
From playlist Solve and Graph Inequalities | Multi-Step With Parenthesis
Solving and graphing a one variable inequality
👉 Learn how to solve multi-step linear inequalities having no parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-ste
From playlist Solve and Graph Inequalities | Multi-Step Without Parenthesis
Learn to solve a system of three equations
👉Learn how to solve a system of three linear systems. A system of equations is a set of equations which are to be solved simultaneously. A linear equation is an equation whose graph is a straight line. The solution to a system of equations is a set of unique values of the variables for wh
From playlist 3 Examples: Solve a System of Three Equations
Solving Systems of Equations Graphically
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From playlist Solving Systems of Equations by Graphing
Solving and graphing an inequality
👉 Learn how to solve multi-step linear inequalities having parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-step l
From playlist Solve and Graph Inequalities | Multi-Step With Parenthesis
Easy way to solve and graph an inequality with a variable on both sides
👉 Learn how to solve multi-step linear inequalities having no parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-ste
From playlist Solve and Graph Inequalities | Multi-Step Without Parenthesis
Determine the Number of Solutions to a System of Linear Equations From a Graph
This video explains how to determine the number of solutions from the graph of a system of linear equations. http://mathispower4u.com
From playlist Solving Systems of Equations by Graphing
Proof by Contradiction | Explanation + 5 Examples
In this video, I explain the basic idea of the proof by contradiction method. Then I show 5 examples of using proof by contradiction to prove some propositions. Thanks for watching! Comment below with questions, and make sure to keep flexin' those brain muscles! Facebook: https://www.f
From playlist Proofs
Natural Deductive Logic: DERIVABLE RULES (MT, HS, DS, DeM)
In this video on #Logic we do the proofs for modus tollens (MT), hypothetical syllogism (HS), disjunctive syllogism (DS) and one of the DeMorgan's Laws (DeM) so that we can use them as shortcuts in further proofs. 0:00 [Modus Tollens (MT)] 1:23 [Hypothetical Syllogism (HS)] 3:25 [Disjunct
From playlist Logic in Philosophy and Mathematics
Relational Dialects | Intro to Human Communication | Study Hall
Life is full of competing desires, like wanting to know what you're getting for your birthday but also wanting to be surprised. These opposing wants may at times create strains in our relationships if we don't exercise intentional communication. In this episode, we explore contradictions,
From playlist Intro to Human Communication: College Foundations
Topology Without Tears - Video 4c - Writing Proofs in Mathematics
This is part (c) of the fourth video in a series of videos which supplement my online book "Topology Without Tears" which is available free of charge at www.topologywithouttears.net Video 4 focusses on the extremely important topic of writing proofs. This video is about Proof by Contradict
From playlist Topology Without Tears
Four Exercises in Natural Deductive Proofs: DERIVABLE RULES (DeM, Contra, Impl)
In this video on #Logic we do the proofs the DeMorgan's Laws (DeM), Contrapositive Law (Contra), and Implication (Impl) so that we can use them as shortcuts in further proofs. 0:00 [Intro] 0:37 [DeMorgan's #3 (DeM)] 4:10 [DeMorgan's #4 (DeM) - TOUGH] 11:32 [Contraposition (Contra)] 13:11
From playlist Logic in Philosophy and Mathematics
proof by contradiction and more -- Proof Writing 11
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From playlist Proof Writing
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From playlist Proof Writing
13. Ch. 4, Sections 4.8 & 4.9. Introduction to Logic, Philosophy 10, UC San Diego - BSLIF
Video lecture corresponding to _Basic Sentential Logic and Informal Fallacies_, Chapter 4, Sections 4.8 & 4.9. This is for the class Introduction to Logic, Philosophy 10, UC San Diego.
From playlist UC San Diego: PHIL 10 - Introduction to Logic | CosmoLearning.org Philosophy
Logic 3 - Propositional Logic Semantics | Stanford CS221: AI (Autumn 2021)
For more information about Stanford's Artificial Intelligence professional and graduate programs visit: https://stanford.io/ai Associate Professor Percy Liang Associate Professor of Computer Science and Statistics (courtesy) https://profiles.stanford.edu/percy-liang Assistant Professor
From playlist Stanford CS221: Artificial Intelligence: Principles and Techniques | Autumn 2021
How not to Use Proof by Contradiction
Sometimes a proof is actually simpler than we might think... Animated using Manim. Intro: 00:00 Largest counting number: 00:30 Infinite primes: 02:32 Cantor's diagonal argument: 07:25 Conclusions: 11:09
From playlist Summer of Math Exposition 2 videos
Solving and graphing an inequality by multiplying by a fraction on one side ex 12
👉 Learn how to solve multi-step linear inequalities having parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-step l
From playlist Solve and Graph Inequalities | Multi-Step With Parenthesis