Metalogic | Proof theory

Decidability (logic)

In logic, a true/false decision problem is decidable if there exists an effective method for deriving the correct answer. Zeroth-order logic (propositional logic) is decidable, whereas first-order and higher-order logic are not. Logical systems are decidable if membership in their set of logically valid formulas (or theorems) can be effectively determined. A theory (set of sentences closed under logical consequence) in a fixed logical system is decidable if there is an effective method for determining whether arbitrary formulas are included in the theory. Many important problems are undecidable, that is, it has been proven that no effective method for determining membership (returning a correct answer after finite, though possibly very long, time in all cases) can exist for them. (Wikipedia).

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Logic: The Structure of Reason

As a tool for characterizing rational thought, logic cuts across many philosophical disciplines and lies at the core of mathematics and computer science. Drawing on Aristotle’s Organon, Russell’s Principia Mathematica, and other central works, this program tracks the evolution of logic, be

From playlist Logic & Philosophy of Mathematics

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Logic - Types of Statements

An introduction to the general types of logic statements

From playlist Geometry

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Simplify the Negation of Statements with Quantifiers and Predicates

This video provides two examples of how to determine simplified logically equivalent statements containing quantifiers and predicates. mathispower4u.com

From playlist Symbolic Logic and Proofs (Discrete Math)

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Maths for Programmers: Logic (What Is Logic?)

We're busy people who learn to code, then practice by building projects for nonprofits. Learn Full-stack JavaScript, build a portfolio, and get great references with our open source community. Join our community at https://freecodecamp.com Follow us on twitter: https://twitter.com/freecod

From playlist Maths for Programmers

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Definition of Continuity in Calculus Explanation and Examples

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Definition of Continuity in Calculus Explanation and Examples. - Definition of continuity at a point. - Explanation of the definition. - Examples of functions where the definition fails.

From playlist Calculus 1 Exam 1 Playlist

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Introduction to Predicate Logic

This video introduces predicate logic. mathispower4u.com

From playlist Symbolic Logic and Proofs (Discrete Math)

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Mathematical Statements and Logic Connectives

This video defines mathematical statements and logic connectives.

From playlist Mathematical Statements (Discrete Math)

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Logic for Programmers: Propositional Logic

Logic is the foundation of all computer programming. In this video you will learn about propositional logic. 🔗Homework: http://www.codingcommanders.com/logic.php 🎥Logic for Programmers Playlist: https://www.youtube.com/playlist?list=PLWKjhJtqVAbmqk3-E3MPFVoWMufdbR4qW 🔗Check out the Cod

From playlist Logic for Programmers

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Recursively Defined Sets - An Intro

Recursively defined sets are an important concept in mathematics, computer science, and other fields because they provide a framework for defining complex objects or structures in a simple, iterative way. By starting with a few basic objects and applying a set of rules repeatedly, we can g

From playlist All Things Recursive - with Math and CS Perspective

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Mikolaj Bojanczyk: MSO+U

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Mathematical Aspects of Computer Science

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Nicole Schweikardt: Databases and descriptive complexity – lecture 1

Recording during the meeting "Spring school on Theoretical Computer Science (EPIT) - Databases, Logic and Automata " the April 11, 2019 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by wor

From playlist Numerical Analysis and Scientific Computing

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Thomas Colcombet : Algebra vs Logic over (generalised) words

CONFERENCE Recording during the thematic meeting : « Discrete mathematics and logic: between mathematics and the computer science » the January 17, 2023 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Jean Petit Find this video and other talks give

From playlist Logic and Foundations

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George F. R. Ellis - What Is Strong Emergence?

The world works at different levels — fundamental physics, physics, chemistry, biology, psychology, sociology — with each level having its own rules and regularities. Here’s the deep question: Ultimately, can what happens at a higher level be explained entirely in terms of what happens at

From playlist Closer To Truth - George F. R. Ellis Interviews

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Multivariable Calculus | Differentiability

We give the definition of differentiability for a multivariable function and provide a few examples. http://www.michael-penn.net https://www.researchgate.net/profile/Michael_Penn5 http://www.randolphcollege.edu/mathematics/

From playlist Multivariable Calculus

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Damiano Mazza: Heterodox exponential modalities in linear logic

HYBRID EVENT Recorded during the meeting Linear Logic Winter School" the January 28, 2022 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual

From playlist Logic and Foundations

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Real closed field | Tarski–Seidenberg theorem | Quantifier elimination | Algebraically closed field | Euclidean geometry | Monadic second-order logic | Undecidable problem | Monadic predicate calculus | Syntax (logic) | Decision problem | Tarski's exponential function problem | Group (mathematics) | Logical consequence | Deductive closure | Interpretability | Theory (mathematical logic) | Chess | Computable function | Propositional formula | Hyperbolic geometry | Entscheidungsproblem | Independence (mathematical logic) | Julia Robinson | Sequent | Robinson arithmetic | Tree (graph theory) | Presburger arithmetic | S2S (mathematics) | Higher-order logic | Alfred Tarski | Many-one reduction | Characteristic (algebra) | Linear logic | Truth table | Paraconsistent logic | Second-order logic | Zeroth-order logic | Infinite chess | Formal proof | Existential quantification | Signature (logic) | Skolem arithmetic | Complete theory | Type theory | Effective method | Gödel's completeness theorem | Formal system | Boolean algebras canonically defined | Decidable sublanguages of set theory | Validity (logic) | First-order logic | Abelian group