Everand Logo

Welcome to Everand!

  • Discover millions of ebooks, audiobooks, and so much more with a free trial

    Only $11.99/month after trial. Cancel anytime.

    Equivalents of the Axiom of Choice, II
    Equivalents of the Axiom of Choice, II
    Equivalents of the Axiom of Choice, II
    Ebook328 pages7 hours

    Equivalents of the Axiom of Choice, II

    By H. Rubin and J.E. Rubin

    ()

    Read preview

    About this ebook

    This monograph contains a selection of over 250 propositions which are equivalent to AC. The first part on set forms has sections on the well-ordering theorem, variants of AC, the law of the trichotomy, maximal principles, statements related to the axiom of foundation, forms from algebra, cardinal number theory, and a final section of forms from topology, analysis and logic. The second part deals with the axiom of choice for classes - well-ordering theorem, choice and maximal principles.

    LanguageEnglish
    PublisherElsevier Science
    Release dateMar 1, 1985
    ISBN9780080887654
    Equivalents of the Axiom of Choice, II

    Related to Equivalents of the Axiom of Choice, II

    Titles in the series (32)

    View More
    View More

    Related ebooks

    Mathematics For You

    View More
    View More

    Related podcast episodes

    Related articles

    • Article

      Why Mathematicians Should Stop Naming Things After Each Other

      Sep 2, 2020

      Any student of modern math must know what it feels like to drown in a well of telescoping terminology. For a high-profile example, let’s take the Calabi-Yau manifold, made famous by string theory. A Calabi-Yau manifold is a compact, complex Kähler ma

      6 min read

    • Article

      The Math That Takes Newton Into the Quantum World

      Feb 28, 2019

      In my 50s, too old to become a real expert, I have finally fallen in love with algebraic geometry. As the name suggests, this is the study of geometry using algebra. Around 1637, René Descartes laid the groundwork for this subject by taking a plane,

      9 min read

    • Article

      How Physics Is Like Three-Chord Rock: Like a set of common chords, the same math appears in diverse fields of physics.

      Jun 12, 2014

      A few years back, 12 million of us clicked over to watch the “Pachelbel Rant” on YouTube. You might remember it. Strumming repetitive chords on his guitar, comedian Rob Paravonian confessed that when he was a cellist, he couldn’t stand the Pachelbel

      6 min read

    • Article

      Physicists Attack Math’s $1,000,000 Question

      Apr 4, 2017

      Physicists are attempting to map the distribution of the prime numbers to the energy levels of a particular quantum system.

      4 min read

    • Article

      Pine Bookcase

      Mar 5, 2024

      Pine Bookcase
      6 min read

    • Article

      U.S. Mathematician Becomes First Woman To Win Abel Prize, 'Math's Nobel'

      Mar 19, 2019

      "I find that I am bored with anything I understand," Karen Uhlenbeck once said. That sentiment is part of why she won what many call the Nobel of mathematics Tuesday.

      3 min read

    • Article

      Kolmogorov Complexity and Our Search for Meaning

      Aug 2, 2018

      Was it a chance encounter when you met that special someone or was there some deeper reason for it? What about that strange dream last night—was that just the random ramblings of the synapses of your brain or did it reveal something deep about your u

      8 min read

    • Article

      The Sacred, Spherical Cows of Physics: Theoretical physics milks symmetry to power its newest tool.

      May 1, 2014

      Early in their training, many physics students come across the idea of spherical cows. Cows in the real world—even at their most plump and well-fed—are hardly spherical, and this makes it tricky to calculate things like, say, how their volume or surf

      11 min read

    • Article

      Impossible Cookware and Other Triumphs of the Penrose Tile

      Feb 7, 2019

      In 1974, Roger Penrose, a British mathematician, created a revolutionary set of tiles that could be used to cover an infinite plane in a pattern that never repeats. In 1982, Daniel Shechtman, an Israeli crystallographer, discovered a metallic alloy w

      7 min read

    • Article

      Books

      Sep 16, 2021

      Books
      4 min read

    • Article

      Actually, There Is a Time Like the Present

      Nov 30, 2017

      We’ve all heard it before: There’s no time like the present. Broadly speaking, of course, it means to “seize the opportunity right now,” or maybe in my case, to avoid procrastinating. From a psychological perspective, this makes a lot of sense. As hu

      4 min read

    • Article

      The Impossible Mathematics of the Real World

      Jun 8, 2017

      Using stiff paper and transparent tape, Craig Kaplan assembles a beautiful roundish shape that looks like a Buckminster Fuller creation or a fancy new kind of soccer ball. It consists of four regular dodecagons (12-sided polygons with all angles and

      6 min read

    • Article

      Herbert Spencer’s Principle of Equal Freedom: Is It Well Grounded?

      Sep 1, 2020

      During the mid-to late nineteenth century, Herbert Spencer was the most widely read philosopher in the world. A large part of his appeal was owing to his ambition of providing a complete and comprehensive account of human reality based on scientific

      38 min read

    Related categories

    Reviews for Equivalents of the Axiom of Choice, II

    0 ratings

    0 ratings0 reviews

    What did you think?

    Tap to rate

    Review must be at least 10 words

      Book preview

      Equivalents of the Axiom of Choice, II - H. Rubin

      Enjoying the preview?
      Page 1 of 1