Infinite divisibility arises in different ways in philosophy, physics, economics, order theory (a branch of mathematics), and probability theory (also a branch of mathematics). One may speak of infinite divisibility, or the lack thereof, of matter, space, time, money, or abstract mathematical objects such as the continuum.
https://en.wikipedia.org/wiki/Infinite_divisibility
Continuum theories or models explain variation as involving gradual quantitative transitions without abrupt changes or discontinuities. In contrast, categorical theories or models explain variation using qualitatively different states.[1]
In physics, for example, the space-time continuum model describes space and time as part of the same continuum rather than as separate entities. A spectrum in physics, such as the electromagnetic spectrum, is often termed as either continuous (with energy at all wavelengths) or discrete (energy at only certain wavelengths).
In contrast, quantum mechanics uses quanta, certain defined amounts (i.e. categorical amounts) which are distinguished from continuous amounts.
External links[edit]
Continuity and infinitesimals, John Bell, Stanford Encyclopedia of Philosophy
https://en.wikipedia.org/wiki/Continuum_(measurement)
Categories: ConceptsConcepts in metaphysicsConcepts in physicsConcepts in the philosophy of scienceHistory of mathematicsHistory of philosophyHistory of sciencePhilosophical conceptsPhilosophical theoriesPhilosophy of mathematicsPhilosophy of scienceTheories
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