Ex-News Junkie
Some interesting videos on mathematics
Sun Jul 30, 2017 7:34pm

Domain of Science - The Map of Mathematics

Numberphile - Godel's Incompleteness Theorem

Numberphile - Godel's Incompleteness (extra footage 1)

Numberphile - Godel's Incompleteness (extra footage 2)

If there is an infinite set of inconsistent mathematical abstractions, then perhaps it might help to distinguish the "consistent" universe from the "inconsistent" universe in the same way "pure" and "applied" math are distinguished now. Like the Pythagoreans, maybe it will be a long time before somebody articulates the requisite notation to define these abstractions correctly without resorting to mysticism.

  • Ancient-meets-modern philosophyEx-News Junkie, Sun Jul 30 3:42pm
    " Pythagoras of Samos (570495 BC) was an Ionian Greek philosopher, mathematician, and putative founder of the Pythagoreanism movement. He is often revered as a great mathematician and scientist and... more
    • Some interesting videos on mathematics — Ex-News Junkie, Sun Jul 30 7:34pm
      • Counterarguments to lateral abstraction as a fundamentalEx-News Junkie, Mon Jul 31 9:02pm
        basis of reality.... - gravity waves which suggest that space and time are real and act as a fluid medium of some sort - cosmic microwave background assumed to be emitted during recombination which... more
        • Black hole model of the universeEx-News Junkie, Tue Aug 1 7:48pm
          So I fall back my preferred model that the entire universe is a black hole: ... that the event horizon of a black hole with a mass equal to all the matter in the visible universe... is much larger... more
          • NomenclatureEx-News Junkie, Tue Aug 1 7:59pm
            Space-time and lateral states written as dimensions: x,y,z,t,i
            • Complex Spacetime and Kaluza-Klein TheoryEx-News Junkie, Wed Aug 2 4:48pm
              Complex Spacetime "In mathematics and mathematical physics, complex spacetime extends the traditional notion of spacetime described by real-valued space and time coordinates to complex-valued space... more
              • Imaginary NumbersEx-News Junkie, Wed Aug 2 5:15pm
                "Although Greek mathematician and engineer Heron of Alexandria is noted as the first to have conceived these numbers, Rafael Bombelli first set down the rules for multiplication of complex numbers in ... more
                • A shot in the darkEx-News Junkie, Wed Aug 2 5:41pm
                  What if space-time is in polar coordinates instead: - angle a - angle b - radius R (a single spatial distance between any two particles) plus time t (a scalar time dimension that gives us relative... more
                  • Curved Space in Polar CoordinatesEx-News Junkie, Wed Aug 2 5:57pm
                    If there is only one spatial dimension, how can it lead to the curved space of general relativity? Well, if the other dimensions are angular (circular), then instead of being linear, maybe all the... more
                    • The Big BangEx-News Junkie, Wed Aug 2 6:30pm
                      So maybe mass determines the tightness of the spiral dimensions, which in turn determines whether the spiral manifests as an angular dimension (or imaginary, or lateral dimension) or whether the... more
                      • After all is said and doneEx-News Junkie, Thu Aug 3 5:33pm
                        I have no idea what I'm talking about! I would need a degree in math and a degree in physics (at least) to begin to comprehend general relativity and the standard model and all the other grand... more
                        • Phenomena I've attempted to addressEx-News Junkie, Thu Aug 3 7:07pm
                          - a mechanism for the early hot dense state of universe as a very large particle shower trapped in a very small (but inflating) space, both resulting from the energy released when a circular... more
                          • Prime numbersEx-News Junkie, Sat Aug 5 1:17pm
                            More thoughts on how the universe is easier to understand if it is represented using polar coordinates, where there is only one dimension of space, and therefore space can only be curved if it is a... more
                            • String TheoryEx-News Junkie, Mon Aug 28 3:13pm
                              What if everything in the cosmos is a string? 3-dimensional space could be an illusion... It could be two angular dimensions and one radial dimension, i.e. spherical coodinates. The angular... more
                              • S(pring) TheoryEx-News Junkie, Mon Aug 28 6:27pm
                                A string that vibrates is acting like a spring. Springs store energy. Hooke's Law: E = k . x^2 ... So when a particle travels through space it is transferring energy in & out of the spring, to & from ... more
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