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The Innumerable Meanings Sutra, gold, colour on blue paper, 13-14th century, Japan This is the first chapter of the Innumerable Meanings Sūtra . It begins with the Buddha who is staying at the City of Royal Palaces on Mount Gṛdhrakūṭa, or Vulture Peak , with a great assemblage of twelve thousand bhikṣus (monks), eighty thousand ...
The Jain upanga āgama Surya Prajnapti (c. 400 BC) classifies all numbers into three sets: enumerable, innumerable, and infinite. Each of these was further subdivided into three orders: Enumerable: lowest, intermediate and highest; Innumerable: nearly innumerable, truly innumerable and innumerably innumerable
The blink of an eye, or about a quarter of a second, has innumerable samaya in it. For all practical purposes a second happens to be the finest measurement of time. Jainism, however, recognizes a very small measurement of time known as samaya, which is an infinitely small part of a second.
Islam promotes the golden mean in many instances. The Quran states an example in finance, in that a person should not spend all he makes as not to be caught needing, and not to be stingy as to not live a comfortable life. Muhammad also had a saying "خير الأمور أوسطها" meaning the best choice is the middle ground/golden mean one ...
Throughout mathematics, "almost all" is sometimes used to mean "all (elements of an infinite set) except for finitely many". [1] [2] This use occurs in philosophy as well. [3] Similarly, "almost all" can mean "all (elements of an uncountable set) except for countably many". [sec 1] Examples: Almost all positive integers are greater than 10 12 ...
Cardinal numbers define the size of sets, meaning how many members they contain, and can be standardized by choosing the first ordinal number of a certain size to represent the cardinal number of that size. The smallest ordinal infinity is that of the positive integers, and any set which has the cardinality of the integers is countably infinite.
The definition of a computably enumerable set as the domain of a partial function, rather than the range of a total computable function, is common in contemporary texts. This choice is motivated by the fact that in generalized recursion theories, such as α-recursion theory, the definition corresponding to domains has been found to be more ...
On the other hand, some scientists, theories and popular works conceive of a multiverse in which the universes are so similar that humanity exists in many equally real separate universes but with varying histories. [95] There is a debate about whether the other worlds are real in the many-worlds interpretation (MWI) of quantum mechanics.