Classical logic

Classical logic

Classical logic (or standard logic or Frege-Russell logic) is the intensively studied and most widely used class of deductive logic. Classical logic has had much influence on analytic philosophy. (Wikipedia).

Classical logic
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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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Propositional Logic and the Algebra of Boole | MathFoundations273 | N J Wildberger

We give an overview of classical Propositional Logic, which is a branch of philosophy concerned with systematizing reason. This framework uses "atomic statements" called "propositions", and "relations", or "connectives", between them, prominently AND, OR, NOT, IMPLIES and EQUIVALENT, and t

From playlist Boole's Logic and Circuit Analysis

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What are Non-Classical logics?

Some of the general classes of non-classical logics I touch in this videos are linear logic, relevant logic, modal logic, many-valued logics, minimal logic, paraconsistent logics and so on and so forth. Let me know if I should dive deeping into a certain scene? https://en.wikipedia.org/wi

From playlist Programming

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Classical Mechanics | Lecture 1

(September 26, 2011) Leonard Susskind gives a brief introduction to the mathematics behind physics including the addition and multiplication of vectors as well as velocity and acceleration in terms of particles. This course is the beginning of a six course sequence that explores the theor

From playlist Lecture Collection | Classical Mechanics (Fall 2011)

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How to Get Classical Physics from Quantum Mechanics

We tend to think of Classical Physics as straightforward and intuitive and Quantum Mechanics as difficult and conceptually challenging. However, this is not always the case! In classical mechanics, a standard technique for finding the evolution equations for a system is the method of least

From playlist Quantum Mechanics

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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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Classical Mechanics | Lecture 7

(November 7, 2011) Leonard Susskind discusses the some of the basic laws and ideas of modern physics. In this lecture, he focuses on Liouville's Theorem, which he describes as one of the basis for Hamiltonian mechanics. He works to prove the reversibility of classical mechanics. This cour

From playlist Lecture Collection | Classical Mechanics (Fall 2011)

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Classical Mechanics | Lecture 3

(October 10, 2011) Leonard Susskind discusses lagrangian functions as they relate to coordinate systems and forces in a system. This course is the beginning of a six course sequence that explores the theoretical foundations of modern physics. Topics in the series include classical mechani

From playlist Lecture Collection | Classical Mechanics (Fall 2011)

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Quantum Mechanics -- a Primer for Mathematicians

Juerg Frohlich ETH Zurich; Member, School of Mathematics, IAS December 3, 2012 A general algebraic formalism for the mathematical modeling of physical systems is sketched. This formalism is sufficiently general to encompass classical and quantum-mechanical models. It is then explained in w

From playlist Mathematics

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Classical and Quantum Subjectivity

Uncertainty is a major component of subjective logic beliefs. We discuss the cloud of uncertainty across Markov networks, insights from computational irreducibility, and negative quantum quasiprobabilities and beliefs.

From playlist Wolfram Technology Conference 2022

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Proving the law of excluded middle (LEM)

In this video we're constructively proving a classical equivalent of the law of excluded middle, namely the law of non-contradiction. That is to say, we prove a statement that, when classically interpreted, just reduces to forall P. P or not P. https://en.wikipedia.org/wiki/Modus_ponens h

From playlist Logic

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Set builder notation

In this video we discuss how the informal set builder notation, and various expressions where it's used, translates to logical sentences. I also talk a bit about universtal and existential quantification and how this relates to various notations in formal set theory. https://en.wikipedia.

From playlist Logic

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What is quantum mechanics? A minimal formulation (Seminar) by Pierre Hohenberg

29 December 2017 VENUE : Ramanujan Lecture Hall, ICTS , Bangalore This talk asks why the interpretation of quantum mechanics, in contrast to classical mechanics is still a subject of controversy, and presents a 'minimal formulation' modeled on a formulation of classical mechanics. In bot

From playlist US-India Advanced Studies Institute: Classical and Quantum Information

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Apple’s Macintosh Classic - Retro Computer Hardware Overview and Review

Macintosh Librarian Episode 1. Maccy and Ms. Fox go over the Macintosh Classic - Apple’s first low cost Macintosh aimed at under $1000. Thanks for watching the first episode of my Macintosh Librarian Video project! I hope this video brings a smile to your face. It was definitely a fun exp

From playlist Early Microcomputers & PCs

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Samson Abramsky - The sheaf-theoretic structure of contextuality and non-locality

Talk at the school and conference “Toposes online” (24-30 June 2021): https://aroundtoposes.com/toposesonline/ Slides: https://aroundtoposes.com/wp-content/uploads/2021/07/AbramskySlidesToposesOnline.pdf Quantum mechanics implies a fundamentally non-classical picture of the physical worl

From playlist Toposes online

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Dale Miller: Focused proof systems

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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Quantum Entanglement, Bell Inequality, EPR paradox

Quantum Entanglement, EPR paradox, Bell Inequality, and the implication for Einstein's Theory of Relativity.

From playlist Physics

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Classical Mechanics | Lecture 2

(October 3, 2011) Leonard Susskind discusses the some of the basic laws and ideas of modern physics. In this lecture, he focuses on some of the incorrect laws of motion that were first proposed by Aristotle. While they are invalid they provide some insight into how modern physics has devel

From playlist Lecture Collection | Classical Mechanics (Fall 2011)

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Homotopy Type Theory: what can logic do for homotopy theory? - Peter Lumsdaine

Peter Lumsdaine Homotopy Type Theory: what can logic do for homotopy theory? Institute for Advanced Study; Member, School of Mathematics October 4, 2013 For more videos, visit http://video.ias.edu

From playlist Mathematics

Related pages

George Boole | Begriffsschrift | Giuseppe Peano | Set theory | Monotonicity of entailment | Gottlob Frege | Two-element Boolean algebra | Principle of explosion | Propositional calculus | David Hilbert | Bernard Bolzano | Foundations of mathematics | Idempotency of entailment | First-order logic | Non-classical logic | Higher-order logic | Commutativity of conjunction | Algebraic logic | Ludwig Wittgenstein | Term logic | Quantifier (logic) | Mathematical logic | Charles Sanders Peirce | Willard Van Orman Quine | Law of noncontradiction | Bertrand Russell | Law of excluded middle | Geometry | Stoic logic | Logicism | Arithmetic | Problem of multiple generality | Boolean algebra (structure)