منابع مشابه
Mathematical Metaphysics
The fundamental question of metaphysics is what exists, not in any particular structure, but in general. To answer this question requires determination of the nature of existence, or more concretely, what it means for something to exist. Thus a worthwhile metaphysics should provide an explicit criterion for existence. A wide variety of such criteria have been proposed, and these can be divided ...
متن کاملMathematical Foundations of Randomness
Thus there are a finite number of possible outcomes, say ω1, ω2, . . . , ωn, and each outcome ωi has a fixed non-trivial probability pi, so that P (ωi) = pi with 0 < pi < 1 for i = 1, 2, . . . , n, and ∑n i=1 pi = 1. The outcomes may be generated either automatically from a continuously running process, or on demand, say by pressing a button on the blackbox. We think of this as an abstract mode...
متن کاملRandomness and Mathematical Proof
The first is obviously constructed according to a simple rule; it consists of the number 01 repeated ten times. If one were asked to speculate on how the series might continue, one could predict with considerable confidence that the next two digits would be 0 and 1. Inspection of the second series of digits yields no such comprehensive pattern. There is no obvious rule governing the formation o...
متن کاملThe Mathematical Foundations of Randomness
Wegive anontechnical account of themathematical theoryof randomness. The theory of randomness is founded on computability theory, and it is nowadays often referred to as algorithmic randomness. It comes in two varieties: A theory of finite objects, that emerged in the 1960s through the work of Solomonoff, Kolmogorov, Chaitin and others, and a theory of infinite objects (starting with von Mises ...
متن کاملThe Yijing as a Mathematical Metaphysics
In this paper I weave together a number of apparently distinct threads of investigation: the spiritual function of mathematics, the Image and Number (Xiangshu 象數) approach to the study of change, information theory and reality, divination and consciousness. The general background to this discussion is the idea that the study of mathematics forms a spiritual pursuit; that the investigation of ab...
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ژورنال
عنوان ژورنال: Theoretical Computer Science
سال: 1998
ISSN: 0304-3975
DOI: 10.1016/s0304-3975(98)00069-3