“Multiple discoveries are in fact very common in science and for much the same reason. Developments in related fields with different motivation help one to understand a difficult problem better. Since these developments are public knowledge, many scholars can take advantage of them. It is pleasant to the ego to be first or among the first with a new discovery. However, in this case at least, the evidence is clear that the development of general equilibrium theory would have gone on quite as it did without me.”

— Kenneth Arrow

Arrow (1984) "November 1984 lecture at Trinity University". Lecture presented November 5, 1984.
1970s-1980s

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Kenneth Arrow 37

American economist 1921–2017

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“We must now ask how changes of this sort can come about, considering first discoveries, or novelties of fact, and then inventions, or novelties of theory. That distinction between discovery and invention or between fact and theory will, however, immediately prove to be exceedingly artificial.”

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Source: The Structure of Scientific Revolutions (1962), VI. Anomaly and the Emergence of Scientific Discoveries, p. 52 (2012 ed.)

“The Indus civilization has challenged scholars’ understanding since its discovery some eighty years ago, and in recent years the application of systematic and problem-orientated research, coupled with much new and unexpected data, has overturned many previous interpretations.”

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“It has certainly been true in the past that what we call intelligence and scientific discovery have conveyed a survival advantage. It is not so clear that this is still the case: our scientific discoveries may well destroy us all, and even if they don’t, a complete unified theory may not make much difference to our chances of survival.”

Stephen Hawking book A Brief History of Time

Source: A Brief History of Time (1988), Ch. 1
Context: It has certainly been true in the past that what we call intelligence and scientific discovery have conveyed a survival advantage. It is not so clear that this is still the case: our scientific discoveries may well destroy us all, and even if they don’t, a complete unified theory may not make much difference to our chances of survival. However, provided the universe has evolved in a regular way, we might expect that the reasoning abilities that natural selection has given us would be valid also in our search for a complete unified theory, and so would not lead us to the wrong conclusions.

“Induction was shown to be untenable as a scientific method by Popper in The Logic of Scientific Discovery (1959). Instead, advances in scientific understanding come ideally from hypothetico-deductivism: firstly, development of a hypothesis in relation to a problem situation, and secondly, its testing in relation to all relevant knowledge and furthermore by its great explanatory power.”

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How the Self Controls Its Brain (1994)

“It is clear today that modern science developed when people stopped debating metaphysical questions about the world and instead concerned themselves with the discovery of laws that were primarily mathematical.”

Mordechai Ben-Ari (1948) Israeli computer scientist

Source: Just a Theory: Exploring the Nature of Science (2005), Chapter 11, “Logic and Mathematics: Scientists Like It Clear and Precise” (p. 184)

“Many years of work as an evangelist and as a teacher in the field of Christian principles, and a difficult cycle in which I faced the problem of my own relation to Christ and to Christianity, have brought me to two definitely clear and clean-cut recognitions: first, a recognition of the reality of the Individuality of Christ and of His Mission; and secondly, a recognition that the development of the Christ Consciousness and the Christ Nature in individual man, and in the race as a whole, carries with it the solution of our world problem.”

Alice A. Bailey (1880–1949) esoteric, theosophist, writer

Forward
From Bethlehem to Calvary (1937)

“In many ways art is similar to religion. Its development consists not in new discoveries which invalidate the old truths (as is obviously the case in science). Its development consists in sudden illuminations, similar to lightning, in explosions, which burst in the sky like fireworks.... this illumination shows with blinding light new perspectives, new truths, which are basically nothing but the organic development, the further organic growth of the earlier wisdom... Was the New Testament possible without the Old? Could our time, that of the threshold of the 'third' revelation, be thinkable without the second?”

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“Knowledge management often generates theories that are too general or abstract to be easily testable. In some cases, simulation modeling can help. [WE have developed] an agent-based simulation model derived from a conceptual framework, the Information Space or I-Space and use it to explore the differences between a neoclassical and a Schumpeterian information environment.”

Max Boisot (1943–2011) British academic and educator

Boisot, M. H., Canals, A., & MacMillan, I. (2004). " Simulating I-Space (SIS): An agent-based approach to modeling knowledge flows http://entrepreneurship.wharton.upenn.edu/research/simispace3_200405.pdf." Working papers of the Sol C. Snider Entrepreneurial Research Center, Wharton School, University of Pennsylvania.

“[Thinking] respond to an objective constellation of millions of stimuli by developing, first of all, an organised field, many and perhaps the most essential properties of which have no physical partner among the single stimuli.”

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Source: Gestalt Psychology. 1930, p. 137

“I am reasonably certain of one thing. The unquestioning acceptance of the Copenhagen interpretation has served to hold back progress on the development of alternative approaches. Blind acceptance of the orthodox position cannot produce the challenges needed to push the theory eventually to its breaking point. And break it will, probably in a way nobody can predict, to produce a theory nobody can imagine. The arguments about reality will undoubtedly persist, but at least we will have a better theory.
I have tried to argue that quantum theory is a difficult subject for modern students of physical science because its interpretation is so firmly rooted in philosophy. If, in arguing the case, I have only made the subject seem even more confusing, then I apologize. However, my most important message is a relatively simple one: quantum theory is rife with conceptual problems and contradictions, and its most common interpretation is anti-realist in nature. If you fine the theory difficult to understand, this is the theory's fault—not yours.”

Jim Baggott (1957) British writer

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Kenneth Arrow 37

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