Mathematical logic

Term logic

In philosophy, term logic, also known as traditional logic, syllogistic logic or Aristotelian logic, is a loose name for an approach to formal logic that began with Aristotle and was developed further in ancient history mostly by his followers, the peripatetics. It was revived after the third century CE by Porphyry's Isagoge. Term logic revived in medieval times, first in Islamic logic by Alpharabius in the tenth century, and later in Christian Europe in the twelfth century with the advent of new logic, remaining dominant until the advent of predicate logic in the late nineteenth century. However, even if eclipsed by newer logical systems, term logic still plays a significant role in the study of logic. Rather than radically breaking with term logic, modern logics typically expand it, so to understand the newer systems, one must be acquainted with the earlier one. (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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Teach Astronomy - Logic

http://www.teachastronomy.com/ Logic is a fundamental tool of the scientific method. In logic we can combine statements that are made in words or in mathematical symbols to produce concrete and predictable results. Logic is one of the ways that science moves forward. The first ideas of

From playlist 01. Fundamentals of Science and Astronomy

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Maths for Programmers: Logic (What Is Logic?)

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From playlist Maths for Programmers

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The History of Logic: The Logic of Aristotle

A few clips of Gabriele Giannantoni explaining Aristotelian logic, the logic of Aristotle. These clips come from the Multimedia Encyclopedia of the Philosophical Sciences. More Short Videos: https://www.youtube.com/playlist?list=PLhP9EhPApKE8v8UVlc7JuuNHwvhkaOvzc Aristotle's Logic: https:

From playlist Logic & Philosophy of Mathematics

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Calculus 1.1d - The word `Calculus`

A brief discuss of the word "Calculus" and its meaning and use

From playlist Calculus Chapter 1

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SEM121 - Propositions

This E-Lecture discusses the machinery of propositional logic and its limitations. It includes a detailed treatment of the logical connectives and their truth-values.

From playlist VLC103 - The Nature of Meaning

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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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Logic 7 - First Order Logic | 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

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Proof synthesis and differential linear logic

Linear logic is a refinement of intuitionistic logic which, viewed as a functional programming language in the sense of the Curry-Howard correspondence, has an explicit mechanism for copying and discarding information. It turns out that, due to these mechanisms, linear logic is naturally r

From playlist Talks

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The Logic of Aristotle

Gabriele Giannantoni explains the logic of Aristotle in the context of the history of logic in interview from 1990. These clips are from the Multimedia Encyclopedia of the Philosophical Sciences. The translation is my own. #Philosophy #Aristotle

From playlist Aristotle

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Heyting algebras and Negation

This is a follow up to https://youtu.be/lDhKE2SKF08. In this video we zoom in on Negation and also discuss models such as the 3-valued one for intuitionistic propositional logic. The script I'm using you can find here: https://gist.github.com/Nikolaj-K/1478e66ccc9b7ac2ea565e743c904555

From playlist Logic

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Logical Reasoning | Logical Reasoning Questions And Answers | Logical Reasoning Test | Simplilearn

This Simplilearn video on Logical Reasoning will acquaint you with the top logical reasoning questions and answers. Here, we will help you understand how to crack a logical reasoning test. We will look at various categories of logical reasoning questions like Coding and Decoding, Seating A

From playlist Interview Tips and Career Advice | Soft Skills Training 🔥[2022 Updated]

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Constructive Type Theory and Homotopy - Steve Awodey

Steve Awodey Institute for Advanced Study December 3, 2010 In recent research it has become clear that there are fascinating connections between constructive mathematics, especially as formulated in the type theory of Martin-Löf, and homotopy theory, especially in the modern treatment in

From playlist Mathematics

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Univalent Foundations Seminar - Steve Awodey

Steve Awodey Carnegie Mellon University; Member, School of Mathematics November 19, 2012 For more videos, visit http://video.ias.edu

From playlist Mathematics

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Philosophy of Mathematics & Frege (Dummett 1994)

Michael Dummett gives a talk on Frege and the philosophy of mathematics. For a good introduction to the philosophy of mathematics, check out: https://www.youtube.com/watch?v=UhX1ouUjDHE Another good introduction to the philosophy of mathematics: https://www.youtube.com/watch?v=XyXWnGFKTkg

From playlist Logic & Philosophy of Mathematics

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Conjunctive Normal Form (CNF) and Disjunctive Normal Form (DNF) - Logic

In this video on #Logic, we learn how to find the Sum of Products (SOP) and Product of Sums (POS). This is also known as Disjunctive Normal Form (DNF) and Conjunctive Normal Form (CNF). We focus on the procedure and I briefly explain why it works. 0:00 - [Intro] 1:36 - [Sum of Products /

From playlist Logic in Philosophy and Mathematics

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Introduction to Predicate Logic

This video introduces predicate logic. mathispower4u.com

From playlist Symbolic Logic and Proofs (Discrete Math)

Related pages

George Boole | Begriffsschrift | Converse (logic) | Obversion | Interpretation (logic) | Propositional calculus | Gottfried Wilhelm Leibniz | Consequent | Term (logic) | Contraposition (traditional logic) | Symbol (formal) | Function (mathematics) | Inference | John Corcoran (logician) | Proposition | Quantifier (logic) | Principia Mathematica | Arthur Prior | Charles Sanders Peirce | Willard Van Orman Quine | Formal system | Square of opposition | Transposition (logic) | Bertrand Russell | Stoic logic