“What appear to be the most valuable aspects of the theoretical physics we have are the mathematical descriptions which enable us to predict events. These equations are, we would argue, the only realities we can be certain of in physics; any other ways we have of thinking about the situation are visual aids or mnemonics which make it easier for beings with our sort of macroscopic experience to use and remember the equations.”

— Celia Green

The Lost Cause (2003)

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British philosopher 1935

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“If we believe that the task of physics is the discovery of a timeless mathematical equation that captures every aspect of the universe, then we believe that the truth about the universe lies outside the universe.”

Lee Smolin (1955) American cosmologist

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“Ironically, conventional quantum mechanics itself involves a vast expansion of physical reality, which may be enough to avoid Einstein Insanity. The equations of quantum dynamics allow physicists to predict the future values of the wave function, given its present value. According to the Schrödinger equation, the wave function evolves in a completely predictable way. But in practice we never have access to the full wave function, either at present or in the future, so this “predictability” is unattainable. If the wave function provides the ultimate description of reality — a controversial issue!”

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we must conclude that “God plays a deep yet strictly rule-based game, which looks like dice to us.”
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“The calculus is to mathematics no more than what experiment is to physics, and all the truths produced solely by the calculus can be treated as truths of experiment. The sciences must proceed to first causes, above all mathematics where one cannot assume, as in physics, principles that are unknown to us. For there is in mathematics, so to speak, only what we have placed there… If, however, mathematics always has some essential obscurity that one cannot dissipate, it will lie, uniquely, I think, in the direction of the infinite; it is in that direction that mathematics touches on physics, on the innermost nature of bodies about which we know little.”

Bernard Le Bovier de Fontenelle (1657–1757) French writer, satirist and philosopher of enlightenment

Elements de la géométrie de l'infini (1727) as quoted by Amir R. Alexander, Geometrical Landscapes: The Voyages of Discovery and the Transformation of Mathematical Practice (2002) citing Michael S. Mahoney, "Infinitesimals and Transcendent Relations: The Mathematics of Motion in the Late Seventeenth Century" in Reappraisals of the Scientific Revolution, ed. David C. Lindberg, Robert S. Westman (1990)

“Today's scientists have substituted mathematics for experiments, and they wander off through equation after equation, and eventually build a structure which has no relation to reality.”

Nikola Tesla (1856–1943) Serbian American inventor

"Radio Power Will Revolutionize the World" in Modern Mechanics and Inventions (July 1934)

“Today we preach that science is not science unless it is quantitative. We substitute correlations for causal studies, and physical equations for organic reasoning. Measurements and equations are supposed to sharpen thinking, but, in my observation, they more often tend to make the thinking noncausal and fuzzy. They tend to become the object of scientific manipulation instead of auxiliary tests of crucial inferences.
Many - perhaps most - of the great issues of science are qualitative, not quantitative, even in physics and chemistry. Equations and measurements are useful when and only when they are related to proof; but proof or disproof comes first and is in fact strongest when it is absolutely convincing without any quantitative measurement.
Or to say it another way, you can catch phenomena in a logical box or in a mathematical box. The logical box is coarse but strong. The mathematical box is fine-grained but flimsy. The mathematical box is a beautiful way of wrapping up a problem, but it will not hold the phenomena unless they have been caught in a logical box to begin with.”

John R. Platt (1918–1992) American physicist

John R. Platt (1964) " Science, Strong Inference -- Proper Scientific Method (The New Baconians) http://256.com/gray/docs/strong_inference.html. In: Science Magazine 16 October 1964, Volume 146, Number 3642. Cited in: Gerald Weinberg (1975) Introduction to General Systems Thinking. p. 1, and in multiple other sources.

“The proximate goal of all perception is what we can get our hands upon. If we traverse the distance that separate us from that which we see or hear and find nothing for the hand to manipulate, the experience is an illusion or a hallucination. The world of perceptual reality, the world of physical things, is the world of our contacts and our manipulations, and the distance experience of the eye and the ear means first of all these physical things. Physical things are not only the meaning of what we see and hear; they are also the means we employ to accomplish our ends.”

George Herbert Mead (1863–1931) American philosopher, sociologist, and psychologist

George Herbert Mead (1926). "The Nature of Aesthetic Experience." International Journal of Ethics, Vol. 36, No. 4 (Jul., 1926), pp. 382-393; p. 382

“What makes a piece of mathematical economics not only mathematics but also economics is, I believe, this: When we set up a system of theoretical relationships and use economic names for the otherwise purely theoretical variables involved, we have in mind some actual experiment, or some design of an experiment, which we could at least imagine arranging, in order to measure those quantities in real economic life that we think might obey the laws imposed on their theoretical namesakes.”

Trygve Haavelmo (1911–1999) Norwegian economist and econometrician

Trygve Haavelmo, "The probability approach in econometrics" in: Supplement to Econometrica. 12 91944), p. 5; Cited in Pearl (2012, 1-2)

“Reality contains not only evidence, but also the means (such as our minds, and our artefacts) of understanding it. There are mathematical symbols in physical reality. The fact that it is we who put them there does not make them any less physical.”

David Deutsch book The Fabric of Reality

Source: The Fabric of Reality (1997), Ch.3

“This conscious self is only one aspect of our greater reality, however; the part that springs into earthknowing. It can be called the "focus personality," because through it we perceive our three-dimensional life. It contains within it, however, traces of the unknown or "source self" out of which it constantly emerges. The source self is the fountainhead of our present physical being, but it exists outside of that frame of reference. We are earth versions of ourselves, beautifully turned into corporal experience. Our known consciousness is filtered through perceptive mechanisms that are a part of what they perceive. We are the instruments through which we know the earth. In other terms, we are particles of energy, flowing from the source self into physical materialization. Each source self forms many such particles or "Aspect selves" that impinge upon three-dimensional reality, striking our space-time continuum. Others are not physical at all, but have their existence in completely different systems of reality. Each Aspect self is connected to the other, however, through the common experience of the source self, and can come to some degree to draw on the knowledge, abilities, and perceptions of the other Aspects. Psychologically, these other Aspects appear within the known self as personality traits, characteristics, and talents that are uniquely ours. The individual is the particle or focus personality, formed by the intersection of the unknown self with space and time. We can follow any of our traits or emotions back to this source self, or at least to a recognition of its existence.”

Jane Roberts (1929–1984) American Writer

Source: Adventures In Consciousness: An Introduction to Aspect Psychology (1975), pp.118-119

“I don't suppose that applies so much to other physicists; I think it’s a peculiarity of myself that I like to play about with equations, just looking for beautiful mathematical relations which maybe don’t have any physical meaning at all. Sometimes they do.”

Paul Dirac (1902–1984) theoretical physicist

Interview with Dr. P. A. M. Dirac by Thomas S. Kuhn at Dirac's home, Cambridge, England, May 7, 1963 http://www.aip.org/history/ohilist/4575_3.html

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