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What is a Random Sequence
 The Mathematical Association of America, Monthly
, 2002
"... there laws of randomness? These old and deep philosophical questions still stir controversy today. Some scholars have suggested that our difficulty in dealing with notions of randomness could be gauged by the comparatively late development of probability theory, which had a ..."
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there laws of randomness? These old and deep philosophical questions still stir controversy today. Some scholars have suggested that our difficulty in dealing with notions of randomness could be gauged by the comparatively late development of probability theory, which had a
SemiNatural Composition: An Experiment with North Indian Ragas
"... Abstract — Music composition can be either natural, seminatural or artificial. In a natural composition, a human being decides both what to play (or sing) and how to. In an artificial composition, a machine like a computer is programmed to select both what to play and how to. But when a computer is ..."
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Abstract — Music composition can be either natural, seminatural or artificial. In a natural composition, a human being decides both what to play (or sing) and how to. In an artificial composition, a machine like a computer is programmed to select both what to play and how to. But when a computer is used to generate what to play (e.g. a note sequence) and then a human being decides how to play (or sing) it, we agree to call it a seminatural composition (SNC). The paper explains the concept of SNC with an algorithm and illustrative examples using two
The Algorithmic Theory of Randomness
, 2001
"... this paper we won't discuss this very important topic. We will focus instead on the admittedly less ambitious but more manageable question of whether it is possible at least to obtain a mathematically rigourous (and reasonable) denition of randomness. That is, in the hope of clarifying the conc ..."
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this paper we won't discuss this very important topic. We will focus instead on the admittedly less ambitious but more manageable question of whether it is possible at least to obtain a mathematically rigourous (and reasonable) denition of randomness. That is, in the hope of clarifying the concept of chance, one tries to examine a mathematical model or idealization, that might (or might not) capture some of the intuitive properties associated with randomness. In the process of rening our intuition and circunscribing our concepts, we might be able to arrive at some fundamental notions. With luck (no pun intended) , these might in turn bring some insight into the deeper problems mentioned before. At least it could help one to discard some of our previous intuitions or to decide for the need of yet another mathematical model.