“The words "position" and "velocity" of an electron… seemed perfectly well defined… and in fact they were clearly defined concepts within the mathematical framework of Newtonian mechanics. But actually they were not well defined, as seen from the relations of uncertainty.”

— Werner Heisenberg

Physics and Philosophy (1958)
Context: The words "position" and "velocity" of an electron... seemed perfectly well defined... and in fact they were clearly defined concepts within the mathematical framework of Newtonian mechanics. But actually they were not well defined, as seen from the relations of uncertainty. One may say that regarding their position in Newtonian mechanics they were well defined, but in their relation to nature, they were not. This shows that we can never know beforehand which limitations will be put on the applicability of certain concepts by the extension of our knowledge into the remote parts of nature, into which we can only penetrate with the most elaborate tools. Therefore, in the process of penetration we are bound sometimes to use our concepts in a way which is not justified and which carries no meaning. Insistence on the postulate of complete logical clarification would make science impossible. We are reminded... of the old wisdom that one who insists on never uttering an error must remain silent.

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Do you have more details about the quote "The words "position" and "velocity" of an electron… seemed perfectly well defined… and in fact they were clearly define…" by Werner Heisenberg?

Werner Heisenberg 42

German theoretical physicist 1901–1976

Adam Kilgarriff (1960–2015) linguist from England

in I don't believe in word senses http://www.kilgarriff.co.uk/Publications/1997-K-CHum-believe.pdf (1997), p. 25

“The limits of the body seem well defined enough as definitions go, but definitions seldom go far.”

Samuel Butler (1835–1902) novelist

Ramblings In Cheapside (1890)

“In relativity, movement is continuous, causally determinate and well defined, while in quantum mechanics it is discontinuous, not causally determinate and not well defined. Each theory is committed to its own notions of essentially static and fragmentary modes of existence (relativity to that of separate events, connectable by signals, and quantum mechanics to a well-defined quantum state). One thus sees that a new kind of theory is needed which drops these basic commitments and at most recovers some essential features of the older theories as abstract forms derived from a deeper reality in which what prevails in unbroken wholeness.”

David Bohm book Wholeness and the Implicate Order

Wholeness and the Implicate Order (1980)

“It would be very difficult to formulate a position in which there were no external relations. I cannot imagine any structure being defined as though it only has internal meaning.”

Robert Motherwell (1915–1991) American artist

Modern Artists in America, First Series, R. Motherwell, Ad Reinhardt and B. Karpel eds., 1952; as quoted in Abstract Expressionist Painting in America, W.C, Seitz, Cambridge Massachusetts, 1983, p. 40
1950s

“The child who defines a lie as being a "naughty word" knows perfectly well that lying consists in not speaking the truth. He is not, therefore, mistaking one thing for another, he is simply identifying them one with another by what seems to us a quaint extension of the word "lie."”

Jean Piaget (1896–1980) Swiss psychologist, biologist, logician, philosopher & academic

Source: The Moral Judgment of the Child (1932), Ch. 2 : Adult Constraint and Moral Realism

“We define a semantic network as "the collection of all the relationships that concepts have to other concepts, to percepts, to procedures, and to motor mechanisms" of the knowledge."”

John F. Sowa (1940) artificial intelligence researcher

Source: Conceptual Structures, 1984, p. 76 as cited in: Jacques Demongeot (1988) Artificial intelligence and cognitive sciences. p. 179

“The DPP will engage (mainland) China with a positive attitude and confidence, hoping to foster constructive and well-intentioned dialogues, while maintaining the party’s values and basic positions. Unfortunately, China remains stubborn and has always tried to coerce Taiwan into a framework defined by nobody but China.”

Su Tseng-chang (1947) Taiwanese politician

Su Tseng-chang (2013) cited in " DPP tells PRC to respect public, party views http://www.taipeitimes.com/News/taiwan/archives/2013/11/28/2003577848" on Taipei Times, 28 November 2013.

“It is almost as hard to define mathematics as it is to define economics, and one is tempted to fall back on the famous old definition attributed to Jacob Viner, “Economics is what economists do,” and say that mathematics is what mathematicians do. A large part of mathematics deals with the formal relations of quantities or numbers.”

Kenneth E. Boulding (1910–1993) British-American economist

Source: 1970s, Economics As a Science, 1970, p. 97

“We demand rigidly defined areas of doubt and uncertainty!”

Douglas Adams The Hitchhiker's Guide to the Galaxy pentalogy

Source: The Hitchhiker's Guide to the Galaxy

“[The] fact of being within capital and sustaining capital is what defines the proletariat as a class.”

Antonio Negri book Empire

53
Empire

“The words "position" and "velocity" of an electron… seemed perfectly well defined… and in fact they were clearly defined concepts within the mathematical framework of Newtonian mechanics. But actually they were not well defined, as seen from the relations of uncertainty.”

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Werner Heisenberg 42

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