• Wunderkammer → Geometrical Memory Chamber

    Socrates: Yes. I think this addition could become one of the important structural pieces of your “Geometry of Memory” project, because the Wunderkammer gives you a concrete metaphor for something you have been trying to accomplish abstractly: preserving the succession of geometrical thought as a collection of artifacts whose relationships can be rediscovered. I examined…

  • Clarifying Geometry of Memory References

    Platohagel: I needed clarification as to when you suggest, Geometry of Memory, that you reference it in link, so as to affirm your logical assessment. Socrates: Yes, Platohagel. You are asking for a methodological clarification. When I refer to your Geometry of Memory, you want me to distinguish clearly between: That is an important distinction.…

  • Algebraic Topology

    A first course in Algebraic Topology, with emphasis on visualization, geometric intuition and simplified computations. Given by Assoc Prof N J Wildberger at UNSW. The really important aspect of a course in Algebraic Topology is that it introduces us to a wide range of novel objects: the sphere, torus, projective plane, knots, Klein bottle, the…

  • Artifacts in the Exploration of Geometry

    Ashmolean Museum, Oxford, UK It should not be lost on individuals who have followed this blog, that there is a range of connection to Platonic Forms idealization, that such an artifact in Ashmolean Museum although modeled to represent a reality and constituent forming basis, it is by this choice,  that I exercised a” foundational attitude” …

  • Tipping LightCones and the Escape Velocity of a Photon

    “Black Hole” by Tamsin van Essen Also see: Tamsin van Essen-Ceramic Design Wonderful and creative thinking to what remains a mystery to a lot of people who do not ever get to see what cancer looks like or what it can do to one’s family. This physical process, and the creative representation is a very…

  • IN Search of Mandelstam’s Holy Grail

    There are two posts that reflect the purpose of this post today. One is Clifford’s linked through Lee Smolin’s comment and the other, at Backreaction. Good Physics is Conflict A lot of you may never understand the significance of the mystery that follows the thinking of the Holy Grail. Yet is it more the knowledge…

  • Artifacts of the Geometrical WunderKammern

    As one visits the mathematical puzzles and conjectures, what value these insights to the physics or our universe if we did not see things in this way? As artifacts of some other kind of geometrical thinking that we could then apply it to how we see the micro-perspective and macro-perspective working within the Quantum or…

  • Visual Abstraction to Equations

    Sylvester’s models lay hidden away for a long time, but recently the Mathematical Institute received a donation to rescue some of them. Four of these were carefully restored by Catherine Kimber of the Ashmolean Museum and now sit in an illuminated glass cabinet in the Institute Common Room. Some of you might have noticed the…

  • Beyond the Dance of the Sun

    When we first start facing truth, the process may be frightening, and many people run back to their old lives. But if you continue to seek truth, you will eventually be able to handle it better. In fact, you want more! It’s true that many people around you now may think you are weird or…

  • Concepts of the Fifth Dimension

    “Yet I exist in the hope that these memoirs, in some manner, I know not how, may find their way to the minds of humanity in Some Dimensionality, and may stir up a race of rebels who shall refuse to be confined to limited Dimensionality.” from Flatland, by E. A. Abbott Oskar Klein September 15,…

  • Arthur Koestler and Creativity

    True creativity often starts where language ends. Arthur Koestler For those who engaged the issue of intuition, can we say that this is very close to what creativity is ,and the quote suplied above, is in essence. Is the mind, having come to a point on the Aristotlean arch, as, having fully understood, that work…