“There are many examples in physics showing that higher precision revealed new phenomena, inspired new ideas, or confirmed or dethroned well-established theories.”

Source: Ludwig von Bertalanffy (1901-1972) (1989), p. 2

In his victory speech after winning the NDP leadership on the first ballot, Jan. 26, 2003.

Nobel lecture (11 December 1952)
Context: It is an old story in physics that higher resolving power leads to new effects. We remember that the magnetic moment of the nucleus was itself discovered through the hyperfine structure of lines in the visible spectrum. The nuclear resonance line in a liquid or gas can be remarkably narrow, as you have already seen. As soon as the reason for this was recognized, it became clear that the only practical limit on resolution was the inhomogeneity of the magnetic field applied to the specimen.

Misattributed to Kelvin since the 1980s, either without citation or stating that it was made in an address to the British Association for the Advancement of Science in 1900. There is no evidence that Kelvin said this, and the quote is instead a paraphrase of Albert A. Michelson, who in 1894 stated: "… it seems probable that most of the grand underlying principles have been firmly established … An eminent physicist remarked that the future truths of physical science are to be looked for in the sixth place of decimals." The attribution to Kelvin giving an address in 1900 is presumably a confusion with his “Two clouds” speech, delivered to the Royal Society in 1900 (see above), and which on the contrary pointed out areas that would subsequently see revolutions.
Misattributed
Source: Superstring: A theory of everything? (1988) by Paul Davies and Julian Brown
Source: Rebuilding the Matrix : Science and Faith in the 21st Century (2003) by Denis Alexander
Source: Einstein (2007) by Walter Isaacson, page 575
Source: The End of Science (1996), by , p. 19 https://books.google.com/books?id=S1Lmqh79dOoC&pg=PA19

Source: Science is Not Enough (1967), p. 28 - 29
Context: We puzzle as to whether the universe is bounded or extends forever; whether, indeed, it may only be one universe among many. We speculate as to whether our universe began in a vast explosion, whether it pulsates between utter compression and wide diffusion, whether it is self-renewing and thus unchanged forever. And we are humble.
But science teaches more than this. It continually reminds us that we are still ignorant and there is much to learn. Time and space are interconnected in strange ways; there is no absolute simultaneity. Within the atom occur phenomena concerning which visualization is futile, to which common sense, the guidance from our everyday experience, has no application, which yield to studies by equations that have no meaning except that they work. Mass and energy transform one into another, Gravitation, the solid rock on which Newton built, may be merely a property of the geometry of the cosmos. Life, as its details unfold before us, becomes ever more intricate, emphasizing more and more our wonder that its marvelous functioning could have been produced by chance and time. The human mind, merely in its chemical and physical aspects, takes on new inspiring attributes.
And what is the conclusion? He who follows science blindly, and who follows it alone, comes to a barrier beyond which he cannot see. He who would tell us with the authority of scholarship a complete story of why we exist, of our mission here, has a duty to speak convincingly in a world where men increasingly think for themselves. Exhortation needs to be revised, not to weaken its power, but to increase it, for men who are no longer in the third century. As this occurs, and on the essential and central core of faith, science will of necessity be silent.
But its silence will be the silence of humility, not the silence of disdain. A belief may be larger than a fact. A faith that is overdefined is the very faith most likely to prove inadequate to the great moments of life.

Physics and Philosophy (1942)

Source: Why Stock Markets Crash - Critical Events in Complex Systems (2003), Chapter 2, Fundamentals Of Financial Markets, p. 38.