Instant
In physics and the philosophy of science, instant refers to an infinitesimal interval in time, whose passage is instantaneous. In ordinary speech, an instant has been defined as "a point or very short space of time," a notion deriving from its etymological source, the Latin verb instare, from in- + stare ('to stand'), meaning 'to stand upon or near.'[1]
The continuous nature of time and its infinite divisibility was addressed by Aristotle in his Physics, where he wrote on Zeno's paradoxes. The philosopher and mathematician Bertrand Russell was still seeking to define the exact nature of an instant thousands of years later.[2]
As of October 2020[update], the smallest time interval certify in regulated measurements is on the order of 397 zeptoseconds (397 × 10−21 seconds).[3]
Mathematics
Much like how one cannot measure an instant, an infinitesimal number does not exist in the standard real number system. However, after the development of calculus and the introduction of limits, certain functions at points with undefined values were able to be calculated using standard real numbers.[4]
See also
References
- ^ Webster's New World College Dictionary, 4th ed. (1999), p. 740.
- ^ W. Newton-Smith (1984), "The Russellian construction of instants", The structure of time, Routledge, p. 129, ISBN 978-0-7102-0389-2
- ^ "Zeptoseconds: New state record in short time measurement". Science Daily. 2020-10-16. Retrieved 2010-05-12.
- ^ Pinto, J. SOUSA (2004-01-01), Pinto, J. SOUSA (ed.), "Chapter 1 - Calculus and Infinitesimals", Infinitesimal Methods of Mathematical Analysis, Woodhead Publishing, pp. 1–13, doi:10.1533/9780857099501.1, ISBN 978-1-898563-99-0, retrieved 2022-03-25
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