Category Archives: Mathematics

Questions on the History of Mathematics

Posted on May 14, 2012 by PlatoHagel

Arthur MillerEinstein and Schrödinger never fully accepted the highly abstract nature of Heisenberg’s quantum mechanics, says Miller. They agreed with Galileo’s assertion that “the book of nature is written in mathematics”, but they also realized the power of using visual … Continue reading →

Posted in Ashmolean Museum, Dimension, Donald Coxeter, E8, Mathematics | Tagged , , , , | Leave a comment

Presenting a New Theoretical Position

Posted on May 27, 2008 by PlatoHagel

All our dreams can come true, if we have the courage to pursue them.Walt Disney Here’s the thing that I would caution such a quote, that any work can produce results, but, if we leave life unattended, the future is … Continue reading →

Posted in M Theory, Mathematics, String Theory | Tagged , , | Leave a comment

Clock Work Universe

Posted on January 12, 2007 by PlatoHagel

Fig 1.4 A two-dimensional coordinate system can be used to locate the position of any point in terms of its x- and y-coordinates Figure 1.4 shows the two-dimensional case, with a grid extending over part of the page. The grid … Continue reading →

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PLATO:Mathematician or Mystic ?

Posted on January 8, 2007 by PlatoHagel

Mathematics, rightly viewed, possesses not only truth, but supreme beauty, a beauty cold and austere, like that of sculpture, without appeal to any part of our weaker nature, without the gorgeous trappings of painting or music, yet sublimely pure, and … Continue reading →

Posted in Art, Chaldni, Concepts, geometries, imagery, Mathematics, Music, nodal, nodal Gauss Riemann, Plato, School of Athens | Tagged , , , , , , , , , , | Leave a comment

Mersenne Prime: One < the Power of two

Posted on January 7, 2007 by PlatoHagel

It looks as though primes tend to concentrate in certain curves that swoop away to the northwest and southwest, like the curve marked by the blue arrow. (The numbers on that curve are of the form x(x+1) + 41, the … Continue reading →

Posted in Computers, Cosmology, Curvature Parameters, Euclid, Euler, Imagery dimension, Mathematics, Powers of Ten, Ramanujan, Riemann Hypothesis | Tagged , , , , , , , , , | Leave a comment

Symmetries Can be Chaotically Complex

Posted on January 1, 2007 by PlatoHagel

Imagine in an “action of a kind” you start off from one place. A photon travelling through a slit of Thomas Young’s, to get through “a world” to the other side. Sounds like some fairy tale doesn’t it? Yet, “the … Continue reading →

Posted in Albrecht Durer, Art, Deep Play, Earth, Einstein, Geometrics, Gravity, latex rendering, Mathematics, Pascal, Photon, Quantum Gravity, Taylor, Thomas Young, Three Body Problem | Tagged , , , , , , , , , , , , , , | Leave a comment

Against Symmetry

Posted on December 14, 2006 by PlatoHagel

The term “symmetry” derives from the Greek words sun (meaning ‘with’ or ‘together’) and metron (‘measure’), yielding summetria, and originally indicated a relation of commensurability (such is the meaning codified in Euclid’s Elements for example). It quickly acquired a further, … Continue reading →

Posted in Art, Condense Matter, Condensed Matter, Earth, Finiteness in String theory Landscape, General Relativity, Genus Figures, Gravity, Laughlin, Loop Quantum, M Theory, Mathematics, Quantum Gravity, Smolin, Steven Weinberg, Strange Matter, String Theory, Sun, Symmetry, Symmetry Breaking, Timaeus | Tagged , , , , , , , , , , , , , , , , , , , , | 4 Comments

Visual Abstraction to Equations

Posted on December 13, 2006 by PlatoHagel

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 … Continue reading →

Posted in Art, Ashmolean Museum, Brain, Cayley, Gauss, Holonomy, Imagery dimension, Mandelstam, Mathematics, Non Euclidean, Riemann Hypothesis, String Theory, WunderKammern | Tagged , , , , , , , , , , , , | Leave a comment

Graviton in a Can?

Posted on November 12, 2006 by PlatoHagel

After you consume “graviton in a can,” you might never be the same? Brane thinking may then dominate your every view of the world. Then, it will all make sense? Imagine while we peer deeper into the subject of the … Continue reading →

Posted in Art, CERN, Cosmic Strings, Dimension, Entropy, General Relativity, Glast, Graviton, Gravity, Mathematics, Muons, Particles, Perfect Fluid, Photon, Quantum Gravity, Stephen Hawking, String Theory, Theory of Everything, Time Dilation, Tomato Soup | Tagged , , , , , , , , , , , , , , , , , , , | Leave a comment

The Radius of the Little Circle

Posted on October 23, 2006 by PlatoHagel

Where a dictionary proceeds in a circular manner, defining a word by reference to another, the basic concepts of mathematics are infinitely closer to an indecomposable element”, a kind of elementary particle” of thought with a minimal amount of ambiguity … Continue reading →

Posted in Brian Greene, Concepts, Dimension, Einstein, General Relativity, geometries, Gravity, Mathematics, Non Euclidean, Octave, Particles, Quantum Gravity, Smolin, StarShine, String Theory | Tagged , , , , , , , , , , , , , , , | Leave a comment