Science Is a Differential Equation. Religion is a Boundary Condition

Alan Turing? Arthur Eddington? Andrew Hodges? Robin Gandy? John D. Barrow? Dermot Turing? Apocryphal?

Question for Quote Investigator: Apparently, the pioneering computer scientist Alan Turing once compared scientific knowledge to a differential equation and suggested that religion specified a boundary condition for the equation. I have not seen a precise citation. Would you please explore this topic?

Reply from Quote Investigator: In 1983 British mathematician Andrew Hodges published a biography titled “Alan Turing: The Enigma”. Hodges stated that in March 1954 Alan Turing sent four postcards to his friend and colleague Robin Gandy. The second postcard (partially shown below) contained the following lines. Boldface added to excerpts by QI:[1]1984 (1983 Copyright), Alan Turing: The Enigma by Andrew Hodges, Chapter 8: On the Beach, Time Period: To 7 June 1954, Quote Page 512 to 514, A Touchstone Book: Simon & Schuster, New York. … Continue reading

Messages from the Unseen World

III. The Universe is the interior of the Light Cone of the Creation

IV. Science is a Differential Equation. Religion is a Boundary Condition.

Arthur Stanley

The postcard also contained the following line written sideways in the left margin:

? Does the gravitation constant decrease ?

Turing’s message presented a playful interpretation of contemporary cosmological theories. The line “Arthur Stanley” referred to English astronomer Arthur Stanley Eddington, and the beginning line perhaps alluded to Eddington’s 1929 book “Science and the Unseen World”. Gandy stated that he and Turing had been discussing Eddington’s book titled “Fundamental Theory”.[2]Website: The Turing Digital Archive, Images scanned from the collection of Turing papers held in the Archive Centre at King’s College, Cambridge, Website description: Website contains nearly … Continue reading

QI conjectures that Turing’s statement was an analogy. A differential equation may have many possible solutions. A boundary condition is an extra constraint that reduces the number of possible solutions and sometimes specifies a unique solution. The postcard statement suggested that there were many possible universes that were compatible with the latest scientific knowledge. Religious beliefs provided additional assumptions that further constrained the set of possible universes.

Additional detailed information is available in the Quote Investigator article on the Medium website which is available here.

Image Notes: A public domain mathematical figure from the 1877 book “A Treatise on Some New Geometrical Methods” by James Booth.

References

References
1 1984 (1983 Copyright), Alan Turing: The Enigma by Andrew Hodges, Chapter 8: On the Beach, Time Period: To 7 June 1954, Quote Page 512 to 514, A Touchstone Book: Simon & Schuster, New York. (Verified with scans)
2 Website: The Turing Digital Archive, Images scanned from the collection of Turing papers held in the Archive Centre at King’s College, Cambridge, Website description: Website contains nearly 3,000 images of letters, photographs, newspaper articles, and unpublished papers by or about Alan Turing. (Accessed turingarchive.kings.cam.ac.uk on January 5, 2023) link

The Universe Is Not Only Queerer Than We Suppose, But Queerer Than We Can Suppose

Arthur Eddington? J. B. S. Haldane? Werner Heisenberg? Arthur C. Clarke? Stanley Kubrick? J. B. Priestly

Dear Quote Investigator: The physics of quantum mechanics, relativity theory, and string theory are mind-bending. Scientists have made remarkable strides in the twentieth and twenty-first centuries; yet, some believe that the progress will stop before the completion of an all-inclusive physical theory. The following adage suggests that the universe is beyond human comprehension. Here are five versions:

  1. Reality is not only stranger than we suppose, but stranger than we can suppose.
  2. Nature is not only odder than we think, but odder than we can think.
  3. The universe is not only stranger than we imagine; it is stranger than we can imagine.
  4. Not only is the universe stranger than we think, it is stranger than we can think.
  5. The universe is not only queerer than we suppose, but queerer than we can suppose.

Statements in this family have been credited to English astrophysicist Arthur Eddington, English biologist J. B. S. Haldane, and German theoretical physicist Werner Heisenberg. Would you please explore this topic?

Quote Investigator: The earliest match in this family of expressions known to QI was written by J. B. S. Haldane in an essay titled “Possible Worlds” published within a 1927 collection. Emphasis added to excerpts by QI:[1]1928 (First edition in 1927), Possible Worlds and Other Papers by J. B. S. Haldane, Essay 34: Possible Worlds, Start Page 272, Quote Page 298 and 299, Harper & Brothers Publishers, New York. … Continue reading

Now, my own suspicion is that the universe is not only queerer than we suppose, but queerer than we can suppose. I have read and heard many attempts at a systematic account of it, from materialism and theosophy to the Christian system or that of Kant, and I have always felt that they were much too simple. I suspect that there are more things in heaven and earth than are dreamed of, or can be dreamed of, in any philosophy.

During the ensuing decades the phrasing and vocabulary of the statement have been altered to yield many variants. In addition, the attribution has shifted. Based on current evidence the ascriptions to Arthur Eddington and Werner Heisenberg are unsupported.

Below are additional selected citations in chronological order.

Continue reading The Universe Is Not Only Queerer Than We Suppose, But Queerer Than We Can Suppose

References

References
1 1928 (First edition in 1927), Possible Worlds and Other Papers by J. B. S. Haldane, Essay 34: Possible Worlds, Start Page 272, Quote Page 298 and 299, Harper & Brothers Publishers, New York. (Verified with scans)
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