“All the categories of creatures act individually as special-case and may be linearly analyzed; retrospectively, it is discoverable that inadvertently they are all interaffecting one another synergetically as a spherical, interprecessionally regenerative, tensegrity spherical integrity. Geodesic spheres demonstrate the compressionally discontinuous--tensionally continuous integrity. Ecology is tensegrity geodesic spherical programming.”

— Buckminster Fuller

1005.53 http://www.rwgrayprojects.com/synergetics/s10/p0520.html#1005.50
1970s, Synergetics: Explorations in the Geometry of Thinking (1975), "Synergy" onwards

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Buckminster Fuller 171

American architect, systems theorist, author, designer, inv… 1895–1983

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“Aristotle believed that the world did not come into being at some time in the past; it had always existed and it would always exist, unchanged in essence for ever. He placed a high premium on symmetry and believed that the sphere was the most perfect of all shapes. Hence the universe must be spherical. …An important feature of the spherical shape… was the fact that when a sphere rotates it does not cut into empty space where there is no matter and it leaves no empty space behind. …A vacuum was impossible. It could no more exist than an infinite physical quantity. …Circular motion was the most perfect and natural movement of all.”

John D. Barrow (1952–2020) British scientist

The Book of Universes: Exploring the Limits of the Cosmos (2011)

“Spherical space is not very easy to imagine. We have to think of the properties of the surface of a sphere—the two-dimensional case—and try to conceive something similar applied to three-dimensional space. Stationing ourselves at a point let us draw a series of spheres of successively greater radii. The surface of a sphere of radius r should be proportional to r2; but in spherical space the areas of the more distant spheres begin to fall below the proper proportion. There is not so much room out there as we expected to find. Ultimately we reach a sphere of biggest possible area, and beyond it the areas begin to decrease. The last sphere of all shrinks to a point—our antipodes. Is there nothing beyond this? Is there a kind of boundary there? There is nothing beyond and yet there is no boundary. On the earth's surface there is nothing beyond our own antipodes but there is no boundary there.”

Arthur Stanley Eddington (1882–1944) British astrophysicist

p, 125
Space, Time and Gravitation (1920)

“The highest of generalizations is the synergetic integration of truth and love.”

Buckminster Fuller (1895–1983) American architect, systems theorist, author, designer, inventor and futurist

1005.56 http://www.rwgrayprojects.com/synergetics/s10/p0520.html#1005.50
1970s, Synergetics: Explorations in the Geometry of Thinking (1975), "Synergy" onwards

“Euclidean geometry is only one of several congruence geometries… Each of these geometries is characterized by a real number K, which for Euclidean geometry is 0, for the hyperbolic negative, and for the spherical and elliptic geometries, positive. In the case of 2-dimensional congruence spaces… K may be interpreted as the curvature of the surface into the third dimension—whence it derives its name…”

Howard P. Robertson (1903–1961) American mathematician and physicist

Geometry as a Branch of Physics (1949)

“The new paradigm may be called a holistic world view, seeing the world as an integrated whole rather than a dissociated collection of parts. It may also be called an ecological view, if the term "ecological" is used in a much broader and deeper sense than usual. Deep ecological awareness recognizes the fundamental interdependence of all phenomena and the fact that, as individuals and societies we are all embedded in (and ultimately dependent on) the cyclical process of nature.”

Fritjof Capra (1939) American physicist

Fritjof Capra, Gunter A. Pauli (1995) Steering business toward sustainability. p. 3 cited in: Elmer Kennedy-Andrews (2008) Writing Home. p. 13.

“The category “society” itself expressed the acute conflict between the social and political sphere—society as antagonistic to the state. Similarly, “individual,” “class,” “private,” “family” denoted spheres and forces not yet integrated with the established conditions—spheres of tension and contradiction. With the growing integration of industrial society, these categories are losing their critical connotation, and tend to become descriptive, deceptive, or operational terms. An attempt to recapture the critical intent of these categories, and to understand how the intent was cancelled by the social reality, appears from the outset to be regression from a theory joined with historical practice to abstract, speculative thought: from the critique of political economy to philosophy. This ideological character of the critique results from the fact that the analysis is forced to proceed from a position “outside” the positive as well as negative, the productive as well as destructive tendencies in society.”

Herbert Marcuse book One-Dimensional Man

Source: One-Dimensional Man (1964), p. xlvi

“The surfaces of three-dimensional space are distinguished from each other not only by their curvature but also by certain more general properties. A spherical surface, for instance, differs from a plane not only by its roundness but also by its finiteness. Finiteness is a holistic property. The sphere as a whole has a character different from that of a plane. A spherical surface made from rubber, such as a balloon, can be twisted so that its geometry changes…. but it cannot be distorted in such a way as that it will cover a plane. All surfaces obtained by distortion of the rubber sphere possess the same holistic properties; they are closed and finite. The plane as a whole has the property of being open; its straight lines are not closed. This feature is mathematically expressed as follows. Every surface can be mapped upon another one by the coordination of each point of one surface to a point of the other surface, as illustrated by the projection of a shadow picture by light rays. For surfaces with the same holistic properties it is possible to carry through this transformation uniquely and continuously in all points. Uniquely means: one and only one point of one surface corresponds to a given point of the other surface, and vice versa. Continuously means: neighborhood relations in infinitesimal domains are preserved; no tearing of the surface or shifting of relative positions of points occur at any place. For surfaces with different holistic properties, such a transformation can be carried through locally, but there is no single transformation for the whole surface.”

Hans Reichenbach (1891–1953) American philosopher

The Philosophy of Space and Time (1928, tr. 1957)

“Evolution may not “drive” toward humanoid qualities at all, even if it uses them under rather special circumstances. What evolution may be up to could be merely the continuing structuration of the biosphere through increased levels of communication between systems of one level, resulting in more integrated supersystems on the next.”

Ervin László (1932) Hungarian musician and philosopher

Source: Introduction to Systems Philosophy (1972), p. 86.

“The main activity of programming is not the origination of new independent programs, but in the integration, modification, and explanation of existing ones.”

Terry Winograd (1946) American computer scientist

"Beyond Programming Languages", in Artificial intelligence & software engineering (1991), ed. Derek Partridge, p. 317.

“Truth is cosmically total: synergetic. Verities are generalized principles stated in semimetaphorical terms. Verities are differentiable. But love is omniembracing, omnicoherent, and omni-inclusive, with no exceptions. Love, like synergetics, is nondifferentiable, i. e., is integral.”

Buckminster Fuller (1895–1983) American architect, systems theorist, author, designer, inventor and futurist

1005.54 http://www.rwgrayprojects.com/synergetics/s10/p0520.html#1005.50
1970s, Synergetics: Explorations in the Geometry of Thinking (1975), "Synergy" onwards

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Buckminster Fuller 171

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