Coincidence

"Coincide" redirects here. For the album by Dewey Redman, seeCoincide (album).

For other uses, seeCoincidence (disambiguation).

Acoincidence is a remarkable concurrence of events or circumstances that have no apparent causal connection with one another.^[2] The perception of remarkable coincidences may lead tosupernatural,occult, orparanormal claims, or it may lead to belief infatalism, which is a doctrine that events will happen in the exact manner of a predetermined plan. In general, the perception of coincidence, for lack of more sophisticated explanations, can serve as a link tofolk psychology and philosophy.^[3]

An image of a total solar eclipse at Orin Junction, Wyoming in 2017. A total solar eclipse happens when the Moon completely blocks the face of the Sun. It is the result of a cosmic coincidence. Even though the Sun is about 400 times bigger than the Moon, it is also about 400 times farther away. This makes the Sun and the Moon appear almost exactly the same size in our sky. — A total solar eclipse at Orin Junction, Wyoming in 2017. Atotal solar eclipse happens when theMoon completely blocks the face of theSun. It is the result of a cosmic coincidence: Even though the Sun is about 400 times bigger than the Moon, it is also about 400 times farther away. This makes the Sun and the Moon appear almost exactly the same size in Earth's sky.^[1]

From astatistical perspective, coincidences are inevitable and often less remarkable than they may appear intuitively. Usually, coincidences arechance events with underestimatedprobability.^[3] An example is thebirthday problem, which shows that theprobability of two persons having the same birthday already exceeds 50% in a group of only 23 persons.^[4] Generalizations of the birthday problem are a key tool used for mathematically modelling coincidences.^[5]

Etymology

edit

The first known usage of the word coincidence is from c. 1605 with the meaning "exact correspondence in substance or nature" from the Frenchcoincidence, fromcoincider, from Medieval Latincoincidere. The definition evolved in the 1640s as "occurrence or existence during the same time". The word was introduced to English readers in the 1650s by SirThomas Browne, inA Letter to a Friend (circa 1656 pub. 1690)^[6] and in his discourseThe Garden of Cyrus (1658).^[7]

Synchronicity

edit

Main article:Synchronicity

Swiss psychiatristCarl Jung developed a theory that states that remarkable coincidences occur because of what he called "synchronicity," which he defined as an "acausal connecting principle."^[8]

TheJung-Pauli theory of "synchronicity", conceived by a physicist and a psychologist, both eminent in their fields, represents perhaps the most radical departure from the world-view of mechanistic science in our time. Yet they had a precursor, whose ideas had a considerable influence on Jung: the Austrian biologistPaul Kammerer, a wildgenius who committed suicide in 1926, at the age of forty-five.
— Arthur Koestler,The Roots of Coincidence^[9]

One of Kammerer's passions was collecting coincidences. He published a book titledDas Gesetz der Serie (The Law of Series), which has not been translated into English. In this book, he recounted 100 or so anecdotes of coincidences that led him to formulate his theory of seriality.

He postulated that all events are connected by waves of seriality. Kammerer was known to make notes in public parks of how many people were passing by, how many of them carried umbrellas, etc.Albert Einstein called the idea of seriality "interesting and by no means absurd."^[10] Carl Jung drew upon Kammerer's work in his bookSynchronicity.^[11]

A coincidence lacks an apparent causal connection. A coincidence may be synchronicity — the experience of events that are causally unrelated — and yet their occurrence together has meaning for the person who observes them. To be counted as synchronicity, the events should be unlikely to occur together by chance, but this is questioned because there is usually a chance, no matter how small and in vast numbers of opportunities such coincidences do happen by chance if it is only non-zero (seelaw of truly large numbers).

Some skeptics (e.g.,Georges Charpak andHenri Broch) argue synchronicity is merely an instance ofapophenia.^[12] They argue that probability and statistical theory (exemplified, e.g., inLittlewood's law) suffice to explain remarkable coincidences.^[13]^[14]

Charles Fort also compiled hundreds of accounts of interesting coincidences and strange phenomena.

Causality

edit

Main article:Causality

Measuring theprobability of a series of coincidences is the most common method of distinguishing a coincidence from causally connected events.

The mathematically naive person seems to have a more acute awareness than the specialist of the basic paradox of probability theory, over which philosophers have puzzled ever since Pascal initiated that branch of science [in 1654] .... The paradox consists, loosely speaking, of the fact that probability theory is able to predict with uncanny precision the overall outcome of processes made up of numerous individual happenings, each of which in itself is unpredictable. In other words, we observe many uncertainties producing certainty, and many chance events creating a lawful total outcome.
— Arthur Koestler,The Roots of Coincidence^[15]

To establish cause and effect (i.e.,causality) is notoriously difficult, as is expressed by the commonly heard statement that "correlation does not imply causation." Instatistics, it is generally accepted that observational studies can give hints but can never establish cause and effect. But, considering the probability paradox (see Koestler's quote above), it appears that the larger the set of coincidences, the more certainty increases, and the more it seems that there is some cause behind a remarkable coincidence.

... it is only the manipulation of uncertainty that interests us. We are not concerned with the matter that is uncertain. Thus we do not study the mechanism of rain; only whether it will rain.
— Dennis Lindley, "The Philosophy of Statistics,"The Statistician (Series D, 2000)

It is no great wonder if in the long process of time, whilefortune takes her course hither and thither, numerous coincidences should spontaneously occur.
— Plutarch,Parallel Lives, vol. II, "Sertorius"

References

edit

^"Why Do Eclipses Happen? - NASA Science".science.nasa.gov. 14 October 2022. Retrieved2023-11-12.
^Stevenson, Angus (2010).Oxford Dictionary of English. OUP Oxford. p. 339.ISBN 978-0-19-957112-3.
^^a ^bVan Elk, Michiel;Friston, Karl;Bekkering, Harold (2016). "The Experience of Coincidence: An Integrated Psychological and Neurocognitive Perspective".The Challenge of Chance. The Frontiers Collection. pp. 171–185.doi:10.1007/978-3-319-26300-7_9.ISBN 978-3-319-26298-7.S2CID 3642342.
^Mathis, Frank H. (June 1991). "A Generalized Birthday Problem".SIAM Review.33 (2):265–70.doi:10.1137/1033051.ISSN 0036-1445.JSTOR 2031144.OCLC 37699182.
^M. Pollanen (2024)A Double Birthday Paradox in the Study of Coincidences,Mathematics23(24), 3882.https://doi.org/10.3390/math12243882
^ that the first day should make the last, that the Tail of the Snake should return into its Mouth precisely at that time, and they should wind up upon the day of their Nativity, is indeed a remarkable Coincidence, which tho Astrology hath taken witty pains to salve, yet hath it been very wary in making Predictions of it ( A Letter to a Friend)
^' Now although this elegant ordination of vegetables, hath found coincidence or imitation in sundry works of Art'(opening of the third chapter of 'The Garden of Cyrus')
^Jung, Carl (1973).Synchronicity: An Acausal Connecting Principle (first Princeton/Bollingen paperback ed.). Princeton, New Jersey: Princeton University Press.ISBN 978-0-691-15050-5.
^Koestler, Arthur (1972).The Roots of Coincidence (hardcover ed.). Random House. p. 81.ISBN 978-0-394-48038-1.
^Beitman, Bernard D. (2017-03-25)."Seriality vs Synchronicity: Kammerer vs. Jung".Connecting with Coincidence.Psychology Today.
^Koestler, Arthur (1972).The Roots of Coincidence (hardcover ed.). Random House. p. 87].ISBN 978-0-394-48038-1.
^Carroll, Robert Todd (2012)."Synchronicity".The Skeptic's Dictionary.
^Charpak, Georges; Broch, Henri (2004).Debunked!: ESP, telekinesis, and other pseudoscience. Translated by Holland, Bart K. Baltimore: Johns Hopkins Univ. Press.ISBN 978-0-8018-7867-1.
^David Lane & Andrea Diem Lane, 2010,Desultory Decussation: Where Littlewood’s Law of Miracles meets Jung’s Synchronicity, www.integralworld.net
^Koestler, Arthur (1972).The Roots of Coincidence (hardcover ed.). Random House. p. 25.ISBN 978-0-394-48038-1– 1973 Vintage paperback:{{cite book}}: CS1 maint: postscript (link)