Infinity | Axioms of set theory
In axiomatic set theory and the branches of mathematics and philosophy that use it, the axiom of infinity is one of the axioms of Zermelo–Fraenkel set theory. It guarantees the existence of at least one infinite set, namely a set containing the natural numbers. It was first published by Ernst Zermelo as part of his set theory in 1908. (Wikipedia).
Definition of infinity In this video, I define the concept of infinity (as used in analysis), and explain what it means for sup(S) to be infinity. In particular, the least upper bound property becomes very elegant to write down. Check out my real numbers playlist: https://www.youtube.co
From playlist Real Numbers
Can You Define the Immeasurable?
What is infinity? Can you define something that, by definition, has no boundaries? A subject extensively studied by philosophers, mathematicians, and more recently, physicists and cosmologists, infinity still stands as an enigma of the intellectual world. We asked people from all walks of
From playlist Mathematics
A classic calculus 1 limit problem, evaluating the limit of x-th root of x as x goes to infinity. This is an inf^0 indeterminate form example. We will have to convert the x-root of x to x^(1/x) and then write x as e^ln(x) and use L'Hopital's Rule. Try this next: what do you think what (inf
From playlist Calculus Limits
Calculus 1: Limits & Derivatives (12 of 27) When the Limit = Infinity (Vertical Asymptotes)
Visit http://ilectureonline.com for more math and science lectures! In this video I will calculate the limit of a function where the limit = infinity because of the vertical asymptotes. Next video in the series can be seen at: http://youtu.be/CRj1Uyyjn3Q
From playlist CALCULUS 1 CH 1 LIMITS & DERIVATIVES
This is part of a series of lectures on the Zermelo-Fraenkel axioms for set theory. We discuss the axiom of infinity, and give some examples of models where it does not hold. For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj52EKVgPi-p50fRP2_SbG
From playlist Zermelo Fraenkel axioms
Introduction to Infinite Limits in Calculus 1
Introduction to Infinite Limits in Calculus 1
From playlist Calculus 1 Exam 1 Playlist
Calculus 2.6 Limits at Infinity
My notes are available at http://asherbroberts.com/ (so you can write along with me). Calculus: Early Transcendentals 8th Edition by James Stewart
From playlist Calculus
Introduction to Limits at Infinity (Part 1)
This video introduces limits at infinity. https://mathispower4u.com
From playlist Limits at Infinity and Special Limits
Support Vsauce, your brain, Alzheimer's research, and other YouTube educators by joining THE CURIOSITY BOX: a seasonal delivery of viral science toys made by Vsauce! A portion of all proceeds goes to Alzheimer's research and our Inquisitive Fellowship, a program that gives money and resour
From playlist Knowledge
In this video, I introduce the Von Neumann construction of the ordinals, including ones that are infinite/transfinite! Email : fematikaqna@gmail.com Subreddit : https://reddt.com/r/Fematika Code : https://github.com/Fematika/Animations Notes : None yet
From playlist Set Theory
Axioms of Constructive Set Theory Explained
In this video we're going to discuss the various axiom schemes of constructive set theories and how they relate to type theory. I cover BCST, ECST, IKP, KPI, KP, CST, CZF, IZF, Mac Lane, Z and variants equi-consistent to ETCS from category theory, and then of course ZF and ZFC. The text I
From playlist Logic
This lecture is part of an online course on the Zermelo Fraenkel axioms of set theory. This lecture gives an overview of the axioms, describes the von Neumann hierarchy, and sketches several approaches to interpreting the axioms (Platonism, von Neumann hierarchy, multiverse, formalism, pra
From playlist Zermelo Fraenkel axioms
Colloquium MathAlp 2018 - Patrick Dehornoy
La théorie des ensembles cinquante ans après Cohen : On présentera quelques résultats de théorie des ensembles récents, avec un accent sur l'hypothèse du continu et la possibilité de résoudre la question après les résultats négatifs bien connus de Gödel et Cohen, et sur les tables de Lave
From playlist Colloquiums MathAlp
The synthetic theory of ∞-categories vs the synthetic theory of ∞-categories - Emily Riehl
Vladimir Voevodsky Memorial Conference Topic: The synthetic theory of ∞-categories vs the synthetic theory of ∞-categories Speaker: Emily Riehl Affiliation: Johns Hopkins University Date: September 12, 2018 For more video please visit http://video.ias.edu
From playlist Mathematics
IMS Public Lecture - Can Every Mathematical Problem Be Solved?
Menachem Magidor, The Hebrew University of Jerusalem, Israel
From playlist Public Lectures
Defining Infinity | Infinite Series
Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/donateinfi Set theory is supposed to be a foundation of all of mathematics. How does it handle infinity? Learn through active problem-solving at Brilliant: https://brilliant.org/I
From playlist An Infinite Playlist
Linear Algebra 4.1 Real Vector Spaces
My notes are available at http://asherbroberts.com/ (so you can write along with me). Elementary Linear Algebra: Applications Version 12th Edition by Howard Anton, Chris Rorres, and Anton Kaul
From playlist Linear Algebra
The definition of limit at infinity (Ch2 Pr8)
A gentle introduction to the formal "epsilon-M" definition for the limit of a function at infinity. This is Chapter 2 Problem 8 from the UNSW MATH1131/1141 Calculus notes. Presented by Dr Daniel Mansfield.
From playlist Mathematics 1A (Calculus)