“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)

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Stephen Jay Gould274
American evolutionary biologist 1941–2002

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“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)

“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

“Gaskell could not abide this indecorous version of his beloved linear progress theory. He could not bear to imagine that the grand procession from jellyfish to man, orchestrated by an ever-increasing mass of nervous tissue, once paused in its stately and orderly march toward human consciousness in order to execute a fancy little flip, a clever jig of inversion, just at the sublime and definitive moment of entrance into the vertebral home stretch.”

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)

“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)

George Ballard Mathews photo

“It may fairly be said that the germs of the modern algebra of linear substitutions and concomitants are to be found in the fifth section of the Disquisitiones Arithmeticae; and inversely, every advance in the algebraic theory of forms is an acquisition to the arithmetical theory.”

George Ballard Mathews (1861–1922) British mathematician

Part 1, sect. 48.
Theory of Numbers, 1892

“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)

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“If someone can enjoy marching to music in rank and file, I can feel only contempt for him; he has received his large brain by mistake, a spinal cord would have been enough.”

Albert Einstein (1879–1955) German-born physicist and founder of the theory of relativity

Source: The World As I See It

Edmund Phelps photo

“What theory can we use to get us out of the impending slump quickly and reliably? To use the 'new classical' theory of fluctuations begun at Chicago in the 1970s – the theory in which the "risk management" models are embedded – is unthinkable, since it is precisely the theory falsified by the asset price collapse. The thoughts of some have turned to John Maynard Keynes. His insights into uncertainty and speculation were deep. Yet his employment theory was problematic and the 'Keynesian' policy solutions are questionable at best…. At the end of his life Keynes wrote of 'modernist stuff, gone wrong and turned sour and silly'. He told his friend Friedrich Hayek he intended to re-examine his theory in his next book. He would have moved on. The admiration we all have for Keynes's fabulous contributions should not sway us from moving on.”

Edmund Phelps (1933) American economist

Edmund Phelps "Keynes had no sure cure for slumps."in: The Financial Times. Columbia University, November 4, 2008.

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“The most essential example of the theory of self-organisation in chemistry is the theory of non-linear, non-equilibrium thermodynamics of chemical reactions presented by Prigogine and his co-workers.”

Rein Vihalemm (1938–2015) Estonian philosopher of chemistry

Source: Chemistry as an Interesting Subject for the Philosophy of Science, 2001, p. 195

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