“The laws of classical mechanics represent a mathematical idealization and should not be assumed to correspond to the real laws of nature. … We now have to realize that errors are inevitable (..) a discovery that makes strict determinism impossible.”

[Léon Brillouin, Science and Information Theory, second edition, Academic Press, New York, 1962, 0-48643-918-6, 314]

Adopted from Wikiquote. Last update June 3, 2021. History

Help us to complete the source, original and additional information

Do you have more details about the quote "The laws of classical mechanics represent a mathematical idealization and should not be assumed to correspond to the re…" by Léon Brillouin?
Léon Brillouin photo
Léon Brillouin 4
French physicist 1889–1969

Related quotes

Nikos Kazantzakis photo
Bill Nye photo

“If we continue to eschew science … we are not going to move forward. We will not embrace natural laws. We will not make discoveries. We will not invent and innovate and stay ahead.”

Bill Nye (1955) American science educator, comedian, television host, actor, writer, scientist and former mechanical engineer

[NewsBank, A12, 'Science Guy' Bill Nye defends evolution in debate, St. Paul Pioneer Press, Minnesota, February 5, 2014, Dylan Lovan, Associated Press]

Ken Ham photo
Euclid photo

“The laws of nature are but the mathematical thoughts of God.”

Euclid (-323–-285 BC) Greek mathematician, inventor of axiomatic geometry

The earliest published source found on google books that attributes this to Euclid is A Mathematical Journey by Stanley Gudder (1994), p. xv http://books.google.com/books?id=UiOxd2-lfGsC&q=%22mathematical+thoughts%22+euclid#search_anchor. However, many earlier works attribute it to Johannes Kepler, the earliest located being in the piece "The Mathematics of Elementary Chemistry" by Principal J. McIntosh of Fowler Union High School in California, which appeared in School Science and Mathematics, Volume VII ( 1907 http://books.google.com/books?id=kAEUAAAAIAAJ&pg=PR3#v=onepage&q&f=false), p. 383 http://books.google.com/books?id=kAEUAAAAIAAJ&pg=PA383#v=onepage&q&f=false. Neither this nor any other source located gives a source in Kepler's writings, however, and in an earlier source, the 1888 Notes and Queries, Vol V., it is attributed on p. 165 http://books.google.com/books?id=0qYXAQAAMAAJ&pg=PA165#v=onepage&q&f=false to Plato. It could possibly be a paraphrase of either or both of the following to comments in Kepler's 1618 book Harmonices Mundi (The Harmony of the World)': "Geometry is one and eternal shining in the mind of God" and "Since geometry is co-eternal with the divine mind before the birth of things, God himself served as his own model in creating the world".
Misattributed

Johannes Kepler photo

“The laws of nature are but the mathematical thoughts of God.”

Johannes Kepler (1571–1630) German mathematician, astronomer and astrologer

Attributed to Kepler in some sources (though more recent sources often attribute it to Euclid), such as Mathematically Speaking: A Dictionary of Quotations edited by Carl C. Gaither and Alma E. Cavazos-Gaither (1998), p. 214 http://books.google.com/books?id=4abygoxLdwQC&lpg=PP1&pg=PA214#v=onepage&q&f=false. The earliest publication located that attributes the quote to Kepler is the piece "The Mathematics of Elementary Chemistry" by Principal J. McIntosh of Fowler Union High School in California, which appeared in School Science and Mathematics, Volume VII ( 1907 http://books.google.com/books?id=kAEUAAAAIAAJ&pg=PR3#v=onepage&q&f=false), p. 383 http://books.google.com/books?id=kAEUAAAAIAAJ&pg=PA383#v=onepage&q&f=false. Neither this nor any other source located gives a source in Kepler's writings, however, and in an earlier source, the 1888 Notes and Queries, Vol V., it is attributed on p. 165 http://books.google.com/books?id=0qYXAQAAMAAJ&pg=PA165#v=onepage&q&f=false to Plato. Expressions that relate geometry to the divine "mind of God" include comments in the Harmonices Mundi, e.g., "Geometry is one and eternal shining in the mind of God", and "Since geometry is co-eternal with the divine mind before the birth of things, God himself served as his own model in creating the world".
Disputed quotes

Dietrich Bonhoeffer photo

“It was the error of Israel to put the law in God’s place, to make the law their God and their God a law.”

Dietrich Bonhoeffer (1906–1945) German Lutheran pastor, theologian, dissident anti-Nazi

Source: Discipleship (1937), The Righteousness of Christ, p. 122.

Hilary Putnam photo

“The physicist who states a law of nature with the aid of a mathematical formula is abstracting a real feature of a real material world, even if he has to speak of numbers, vectors, tensors, state-functions, or whatever to make the abstraction.”

Hilary Putnam (1926–2016) American philosopher

in What is Mathematics, in [Hilary Putnam, Mathematics, matter, and method, Cambridge University Press, 1979, 0521295505, 60]

Tom Robbins photo
Georg Christoph Lichtenberg photo

“All mathematical laws which we find in Nature are always suspect to me, in spite of their beauty.”

Georg Christoph Lichtenberg (1742–1799) German scientist, satirist

As quoted in Lichtenberg : A Doctrine of Scattered Occasions (1959) by Joseph Peter Stern, p. 84
Context: All mathematical laws which we find in Nature are always suspect to me, in spite of their beauty. They give me no pleasure. They are merely auxiliaries. At close range it is all not true.

Related topics