Type theory

Induction-induction

In intuitionistic type theory (ITT), some discipline within mathematical logic, induction-induction is for simultaneously declaring some inductive type and some inductive predicate over this type. An inductive definition is given by rules for generating elements of some type. One can then define some predicate on that type by providing constructors for forming the elements of the predicate , such inductively on the way the elements of the type are generated. Induction-induction generalizes this situation since one can simultaneously define the type and the predicate, because the rules for generating elements of the type are allowed to refer to the predicate . Induction-induction can be used to define larger types including various universe constructions in type theory. and limit constructions in category/topos theory. (Wikipedia).

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Teach Astronomy - Induction

http://www.teachastronomy.com/ Induction is an important tool of the scientific method. In induction a specific statement based on a limited set of data or observations is generalized to form a very broad conclusion. Newton, for example, based on limited measurements of orbits within the

From playlist 01. Fundamentals of Science and Astronomy

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20 AWESOME Electromagnetic induction in laboratory!!!

This videos shoe and describes about the Electromagnetic Induction, Faraday's observation.It also describes about the magnitude and direction of induced e.m.f, Faraday’s Laws of Electromagnetic Induction and the Lenz’s Law.

From playlist ELECTROMAGNETISM

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Electromagnetic induction and Antigravity!!!

Physics demonstrations (la physique)!!!

From playlist physics

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Introduction to Proof by Induction: Prove 1+3+5+…+(2n-1)=n^2

This video introduces proof by induction and proves 1+3+5+…+(2n-1) equals n^2. mathispower4u.com

From playlist Sequences (Discrete Math)

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Electromagnetic, Mutual and Self induction!!!

In this video i demonstrate and explain Electromagnetic, Mutual and Self induction!

From playlist ELECTROMAGNETISM

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Further Demonstrations of Electromagnetic Induction

At the following links, https://www.youtube.com/watch?v=KUihEkvabpo https://www.youtube.com/watch?v=vwIdZjjd8fo are demonstrations of electromagnetic induction, which is the generation of an electric field by a changing magnetic field. In these two videos I was moving a magnet into, and

From playlist Electromagnetic Induction

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Induction explained by International Math Olympiad Bronze Medalist: The Essence of Induction part 1

This is the math video explainer I made for 3Blue1Brown's summer of math exposition contest. The topic here is mathematical induction and it's aimed at high schoolers and college students first encountering this topic. My goal here wasn't to formally state what induction is and then try

From playlist Summer of Math Exposition Youtube Videos

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Fundamentals of Mathematics - Lecture 13: Strong Induction iff "Weak" Induction

course page: http://www.uvm.edu/~tdupuy/logic/Math52-Fall2017.html videography - Eric Melton, UVM handouts - DZB, Emory

From playlist Fundamentals of Mathematics

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Petra Hozzova - Automation of Induction in Saturation - IPAM at UCLA

Recorded 17 February 2023. Petra Hozzova of Technische Universität Wien, Institute of Logic and Computation, presents "Automation of Induction in Saturation" at IPAM's Machine Assisted Proofs Workshop. Abstract: Induction in saturation-based first-order theorem proving is a new exciting di

From playlist 2023 Machine Assisted Proofs Workshop

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Inductance - Review for AP Physics C: Electricity and Magnetism

AP Physics C: Electricity and Magnetism review inductance, inductors, and self-inductance. The equation for the inductance of an ideal solenoid is derived. The differences between resistance, resistors, resistivity, inductance, self-inductance, and inductors is described. And the equation

From playlist AP Physics C: Electricity & Magnetism Review

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Fundamentals of Mathematics - Lecture 12: Strong Ind, Nim, and the Fundamental Theorem of Arithmetic

course page: http://www.uvm.edu/~tdupuy/logic/Math52-Fall2017.html handouts - DZB, Emory videography - Eric Melton, UVM

From playlist Fundamentals of Mathematics

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RA1.3. Peano Axioms and Induction

Real Analysis: We consider the Peano Axioms, which are used to define the natural numbers. Special attention is given to Mathematical Induction and the Well-Ordering Principle for N. (Included is an example of how to show a triple equivalence.)

From playlist Real Analysis

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1.8.6 WOP vs Induction: Video [optional]

MIT 6.042J Mathematics for Computer Science, Spring 2015 View the complete course: http://ocw.mit.edu/6-042JS15 Instructor: Albert R. Meyer License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 6.042J Mathematics for Computer Science, Spring 2015

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Introduction to the Coq Proof Assistant - Andrew Appel

Introduction to the Coq Proof Assistant - Andrew Appel Princeton University December 7, 2010 A "proof assistant" is a software package comprising a validity checker for proofs in a particular logic, accompanied by semi-decision procedures called "tactics" that assist the mathematician in

From playlist Mathematics

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Inductors and Inductance: An Explanation

This video explains what an inductor is, how to calculate its inductance and how to calculate the self-induced voltage. Social Media for Step by Step Science: Teacher Pay Teachers Store: https://tinyurl.com/y6d2cdfj Instagram: https://www.instagram.com/stepbystepscience101/ Website: http

From playlist DC Circuits, RC and RL Circuit Analysis

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Representations of finite groups of Lie type (Lecture - 3) by Dipendra Prasad

PROGRAM GROUP ALGEBRAS, REPRESENTATIONS AND COMPUTATION ORGANIZERS: Gurmeet Kaur Bakshi, Manoj Kumar and Pooja Singla DATE: 14 October 2019 to 23 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Determining explicit algebraic structures of semisimple group algebras is a fund

From playlist Group Algebras, Representations And Computation

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Set Theory (Part 7): Natural Numbers and Induction

Please feel free to leave comments/questions on the video and practice problems below! In this video, I discuss the von Neumann construction of the natural numbers and relate the idea of natural numbers to inductive sets. The axiom of infinity is also introduced here as one of the ZFC axi

From playlist Set Theory by Mathoma

Related pages

Induction-recursion | Mathematical logic | Intuitionistic type theory