Conclusions: Parallels and Intersections

Putting It All Together: Where Have We Been? Where Are We Going?

Periodic table of Finite Simple Groups
Periodic Table of Finite Groups
  • Conclusions: Parallels and Intersections

We conclude with a discussion of parallels and intersections between the diverse themes and topics covered

Sacred geometry ascribes symbolic and sacred meanings to certain geometric shapes and certain geometric proportions. It is associated with the belief of a divine creator of the universal geometer. The geometry used in the design and construction of religious structures such as churches, temples, mosques, religious monuments, altars, and tabernacles has sometimes been considered sacred. The concept applies also to sacred spaces such as temenoi, sacred groves, village greens, pagodas and holy wells, Mandala Gardens and the creation of religious and spiritual art.

The belief that a god created the universe according to a geometric plan has ancient origins. Plutarch attributed the belief to Plato, writing that "Plato said god geometrizes continually" (Convivialium disputationum, liber 8,2). In modern times, the mathematician Carl Friedrich Gauss adapted this quote, saying "God arithmetizes".

Johannes Kepler (1571–1630) believed in the geometric underpinnings of the cosmos. Harvard mathematician Shing-Tung Yau expressed a belief in the centrality of geometry in 2010: "Lest one conclude that geometry is little more than a well-calibrated ruler – and this is no knock against the ruler, which happens to be a technology I admire – geometry is one of the main avenues available to us for probing the universe. Physics and cosmology have been, almost by definition, absolutely crucial for making sense of the universe. Geometry's role in this may be less obvious, but is equally vital. I would go so far as to say that geometry not only deserves a place at the table alongside physics and cosmology, but in many ways it is the table."

Additional Resources

  • Free Will, Determinism and Enlightenment

  • Multicomputation as a Fourth General Paradigm for Theoretical Science - Wolfram

  • Multicomputation with Numbers: The Case of Simple Multiway Systems - Wolfram

  • Charting a Course for Complexity - Wolfram

  • Space As a Network - Wolfram

  • Time and Causal Networks - Wolfram

  • Why Does the Universe Exist? - Wolfram

  • On the Concept of Motion - Wolfram

  • The Physicalization of Metamathematics - Wolfram

  • Visual Summary of the Wolfram Physics Project - Wolfram

  • Wolfram Ruliad in 26 Real Dimensional Symplectic Universe

  • Subject Ten: Parallels and Intersections

  • Basic Concepts

  • Fundamental Concepts

  • The Case for a 26 Real Dimensional Universe

  • 23 June 2021

  • 27 Octoberr 2021

  • 3 November 2021

  • 10 November 2021

  • 23 November 2021

  • 2 December 2021

  • 9 December 2021

  • 16 December 2021

  • 16 December 2021