“How ironic. In order to avoid the "nutty" theory of inversion, Gaskell invented the even odder notion of stomachs turning into brains with new guts forming below. No wonder then, that later biologists cast a plague on both speculative houses and opted instead for the obvious alternative: arthropods and vertebrates do not share the same anatomical plan at all, but rather represent two separate evolutionary developments of similar complexity from a much simpler common ancestor that grew neither a discrete gut nor a central nerve cord.”

—  Stephen Jay Gould , book Leonardo's Mountain of Clams and the Diet of Worms

"Brotherhood by Inversion", p. 327
Leonardo's Mountain of Clams and the Diet of Worms (1998)

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Stephen Jay Gould 274
American evolutionary biologist 1941–2002

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“Gaskell… had to keep his stately soldiers upright and uniformly oriented… by crafting the brain and spinal cord from an arthropod digestive tube, while forming a completely new gut below. …Gaskell thought that his move would rescue the theory of linear progress, with its necessary transition of arthropod into vertebrate, from the absurdities of the old inversion theory.”

Stephen Jay Gould book Leonardo's Mountain of Clams and the Diet of Worms

"Brotherhood by Inversion", p. 327
Leonardo's Mountain of Clams and the Diet of Worms (1998)

“Geoffrey also recognized that the opposite orientations of gut and nervous system posed a problem for his claim that insects and vertebrates represent different versions of the same archetypal animal - and he proposed the first account of the inversion theory to resolve this threat to unification. …Geoffroy pursued the… aim of establishing a "unity of type" that could generate both arthropods and vertebrates from the same basic blueprint. …The single grand design includes a gut in the middle and the main nerve cords somewhere on the periphery.”

Stephen Jay Gould book Leonardo's Mountain of Clams and the Diet of Worms

"Brotherhood by Inversion", p. 326
Leonardo's Mountain of Clams and the Diet of Worms (1998)

“Later evolutionary theorists of linear progress had to advance the overtly physical and historical claim that an ancestral lineage of arthropods actually turned over to become the first vertebrates (for the classical statement of the inversion theory, see William Patten, The Grand Strategy of Evolution, 1920).”

Stephen Jay Gould book Leonardo's Mountain of Clams and the Diet of Worms

Source: Leonardo's Mountain of Clams and the Diet of Worms (1998) "Brotherhood by Inversion", p. 327

“Independent derivation meshed beautifully with the triumph, from the 1930's on, of a strict version of Darwinism based on the near ubiquity of adaptive design built by natural selection… Arthropods and vertebrates do share several features of functional design. But those similarities only reflect the power of natural selection to craft optimal structures independently in a world of limited biomechanical solutions to common functional problems - an evolutionary phenomenon called convergence.”

Stephen Jay Gould book Leonardo's Mountain of Clams and the Diet of Worms

"Brotherhood by Inversion", p. 328
Leonardo's Mountain of Clams and the Diet of Worms (1998)

“In France, Étienne Geoffroy Saint-Hilaire attempted to portray the skeleton of vertebrates as a set of modifications upon an archetypal vertebra. In the 1820's, Geoffroy extended his ambitious plan to include annelids and arthropods under that same rubric. …Vertebrates support their soft parts with an internal skeleton, but insects must live within their vertebrae (a reality, not a metaphor, for Geoffroy). This comparison led to… the claim that a vertebrate rib must represent the same organ as an arthropod leg - and that insects must therefore walk on their own ribs!”

Stephen Jay Gould book Leonardo's Mountain of Clams and the Diet of Worms

"Brotherhood by Inversion", p. 326
Leonardo's Mountain of Clams and the Diet of Worms (1998)

“Arthropods and vertebrates share some broad features of general organization - elongated, bilaterally symmetrical bodies, with sensory organs up front, excretory structures in the back, and some form of segmentation along the major axis. But the geometry of major internal organs could hardly be more different… Arthropods concentrate their nervous system on their ventral (belly) side as two major cords running along the bottom surface of the animal. The mouth also opens on the ventral side, with the esophagus passing between the two nerve cords, and the stomach and remainder of the digestive tube running along the body above the nerve cords. In vertebrates, and with maximal contrast, the central nervous system runs along the dorsal (top) surface as a single tube culminating in a bulbous brain at the front end. The entire digestive system then runs along the body axis below the nerve cord.”

Stephen Jay Gould book Leonardo's Mountain of Clams and the Diet of Worms

"Brotherhood by Inversion", p. 321
Leonardo's Mountain of Clams and the Diet of Worms (1998)

Caspar David Friedrich photo

“A picture must not be invented but felt. Observe the form exactly, both the smallest and the large and do not separate the small from the large, but rather the trivial from the important.”

Caspar David Friedrich (1774–1840) Swedish painter

Variant translation: Close your bodily eye, that you may see your picture first with the eye of the spirit. Then bring to light what you have seen in the darkness, that its effect may work back, from without to within.
Quoted in The Romantic Imagination: Literature and Art in England and Germany (1996) by Fredrick Berwick and Jürgn Klein, and in "Culture: Caspar D. Friedrich and the Wasteland" by Gjermund E. Jansen in Bits of News (3 March 2005) http://www.bitsofnews.com/content/view/154/42/
undated
Context: Close your bodily eye, so that you may see your picture first with the spiritual eye. Then bring to the light of day that which you have seen in the darkness so that it may react upon others from the outside inwards. A picture must not be invented but felt. Observe the form exactly, both the smallest and the large and do not separate the small from the large, but rather the trivial from the important.

Stanislaw Ulam photo

“Mathematics may be a way of developing physically, that is anatomically, new connections in the brain.”

Stanislaw Ulam (1909–1984) Polish-American mathematician

Source: Adventures of a Mathematician - Third Edition (1991), Chapter 15, Random Reflections on Mathematics and Science, p. 277

“We can now determine, easily and relatively cheaply, the detailed chemical architecture of genes; and we can trace the products of these genes (enzymes and proteins) as they influence the course of embryology. In so doing we have made the astounding discovery that all complex animal phyla - arthropods and vertebrates in particular - have retained, despite their half-billion years of evolutionary independence, an extensive set of common genetic blueprints for building bodies.”

Stephen Jay Gould book Leonardo's Mountain of Clams and the Diet of Worms

"Brotherhood by Inversion", p. 330
Leonardo's Mountain of Clams and the Diet of Worms (1998)

Georg Wilhelm Friedrich Hegel photo

“This is Bruno's fundamental idea. He says: ”To recognize this unity of form and matter in all things, is what reason is striving to attain to. But in order to penetrate to this unity, in order to investigate all the secrets of Nature, we must search into the opposed and contradictory extremes of things, the maximum and the minimum” It is in these very extremes that they are intelligible, and become united in the Notion; and this union of them is infinite Nature. “To find the point of union is not the greatest matter; but to develop from, the same its very opposite, this is the real and the deepest secret of the art” It is saying much if we speak of knowing the development of the Idea as a necessity of determinations; we shall see later how Bruno proceeded to do this. He represents the original principle, which is elsewhere known as the form, under the Notion of the minimum, which is at the same time the maximum One, which at the same time is All; the universe is this One in All.”

Georg Wilhelm Friedrich Hegel book Lectures on the Philosophy of History

Georg Wilhelm Friedrich Hegel, Lectures on the Philosophy of History Vol 3 1837 translated by ES Haldane and Francis H. Simson) first translated 1896 P. 128
Lectures on the Philosophy of History (1832), Volume 3

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