Mathematical induction

Well-founded induction

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Precalculus 11.5a - Mathematical Induction

Mathematical Induction. First in a short series of videos. From the Precalculus class taught by Derek Owens. These are older videos, from the original course, posted by request.

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Teach Astronomy - Limitations of Science

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Oxford 4b The Argument Concerning Induction

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From playlist Oxford: Introduction to David Hume's Treatise of Human Nature Book One | CosmoLearning Philosophy

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Discrete Math II - 5.2.1 Proof by Strong Induction

In this video we learn about a proof method known as strong induction. This is a form of mathematical induction where instead of proving that if a statement is true for P(k) then it is true for P(k+1), we prove that if a statement is true for all values from 1 to k (or whatever your starti

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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

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Discrete Math II - 5.1.1 Proof by Mathematical Induction

Though we studied proof by induction in Discrete Math I, I will take you through the topic as though you haven't learned it in the past. The premise is that we prove the statement or conjecture is true for the least element in the set, then show that if the statement is true for the kth el

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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

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Episode 37: Electromagnetic Induction - The Mechanical Universe

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Well-Ordering and Induction: Part 1

This was recorded as supplemental material for Math 115AH at UCLA in the spring quarter of 2020. In this video, I prove the equivalence of the principle of mathematical induction and the well-ordering principle.

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Inductive Construction

Inductive Construction of a Subsequence In this video, I present the idea of an inductive construction of a subsequence. I illustrate this by showing that for every real number, there is a sequence of rational numbers that converges to that real number. Enjoy! Another Inductive Construct

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Well-founded relation