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William - a.k.a. Lord Kelvin Thomson

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There is nothing new to be discovered in physics now. All that remains is more and more precise measurement.
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Although reportedly from an address to the British Association for the Advancement of Science (1900), the quote is only duplicated without citation to any primary source in various books, including Superstring : A theory of everything? (1988) by Paul Davies and Julian Brown; also in Rebuilding the Matrix : Science and Faith in the 21st Century (2003) by Denis Alexander. To be more credible, a source prior to the 1980s and close to 1900 is needed.
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Confusion may be due to Michelson who made a similar quote whilst mentioning Lord Kelvin: In 1894, Albert A. Michelson remarked that in physics there were no more fundamental discoveries to be made. Quoting Lord Kelvin, he continued, “An eminent physicist remarked that the future truths of physical science are to be looked for in the sixth place of decimals.

 
William - a.k.a. Lord Kelvin Thomson

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