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In this usage, infinity is a mathematical concept, and infinite mathematical objects can be studied, manipulated, and used just like any other mathematical object. The mathematical concept of infinity refines and extends the old philosophical concept, in particular by introducing infinitely many different sizes of infinite sets.
John Wallis (/ ˈ w ɒ l ɪ s /; [2] Latin: Wallisius; 3 December [O.S. 23 November] 1616 – 8 November [O.S. 28 October] 1703) was an English clergyman and mathematician, who is given partial credit for the development of infinitesimal calculus.
The apeiron is central to the cosmological theory created by Anaximander, a 6th-century BC pre-Socratic Greek philosopher whose work is mostly lost. From the few existing fragments, we learn that he believed the beginning or ultimate reality is eternal and infinite, or boundless (apeiron), subject to neither old age nor decay, which perpetually yields fresh materials from which everything we ...
The Man Who Knew Infinity is a 2015 British biographical drama film about the Indian mathematician Srinivasa Ramanujan, based on the 1991 book of the same name by Robert Kanigel.
The ultimate in large numbers was, until recently, the concept of infinity, a number defined by being greater than any finite number, and used in the mathematical theory of limits. However, since the 19th century, mathematicians have studied transfinite numbers , numbers which are not only greater than any finite number, but also, from the ...
An early engagement with the idea of infinity was made by Anaximander who considered infinity to be a foundational and primitive basis of reality. [3] Anaximander was the first in the Greek philosophical tradition to propose that the universe was infinite. [4]
James Harrison is a blood donor whose unusual plasma composition has been used to make a treatment for Rhesus disease. He made 1173 donations throughout his lifetime, which are estimated to have ...
of which one can readily convince oneself that every number γ occurring in it is the type [i.e., order-type] of the sequence of all its preceding elements (including 0). (The sequence Ω has this property first for ω 0 +1. [ω 0 +1 should be ω 0.]) Now Ω ′ (and therefore also Ω) cannot be a consistent multiplicity.