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|    soc.culture.quebec    |    More than just pale imitations of France    |    108,435 messages    |
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|    Message 106,695 of 108,435    |
|    Wisdom90 to All    |
|    More rigorous about precision of computa    |
|    12 Jan 20 08:59:52    |
      From: d@d.d              Hello,                     More rigorous about precision of computational complexity..              When we say that 2+2=4, it is a system that inherently contains enough       precision that we call enough precision, it is in fuzzy logic that it is       100% precision that is a truth that is equal 1              But when for example we say:              "If i say that a person is obese, so he has a high risk to get a disease       because he is obese."              What is it equal in fuzzy logic ?              It is not an exact value in fuzzy logic, but it is not exact precision       but it is fuzzy and it is equal to a high risk to get a disease.              That's the same for time complexities of n*log(n) and n , they       are fuzzy, but there level of fuzziness can predict the resistance of       the algorithm that it is average (by analogy with material resistance,       read below to understand), and i think that it is how can be viewed       computational complexity.              Read the rest of my previous thoughts to understand better:              Yet about what can we take as enough precision and about computational       complexity..                     As you have just noticed i said before that 2+2=4 is a system that       inherently contains enough precision that we call enough precision,       because we have to know that it is judged and dictated by our minds of       we humans, but when the mind sees a time complexity of n*log(n) or n ,       it will measure them by reference to the other time complexities that       exists, and we can notice that they are average time complexities if we       compare them with an exponential time complexity and with a log(n) time       complexity, so this measure dictates that the time complexities of       n*log(n) and n are average resistance (by analogy with material       resistance, read below to understand), but our minds of humans will also       notice that this average resistance is not an exact resistance, so       they are missing precision and exactitude, so like the example that i       give below of the obese person, we can call the time complexities such       as n*log(n) and n as fuzzy and this look like probability calculations.              Read the rest of all my previous thoughts to understand:              I will add again more logical rigor to my post about about computational       complexity:              As you have just noticed in my previous post (read below), i said the       following:              That time complexities such as n*log(n) and n are fuzzy.              But we have to be more logical rigor:              But what can we take as enough precision ?              I think that when we say 2+2=4, it has no missing part       of precision, so this fact is enough precision,       but if we say a time complexity of n*log(n), there is a missing part       of precision, because n*log(n) is dependent on reality that needs       in this case more precision about an exact precision about the       resistance of the algorithm(read below my analogy with material       resistance), so this is why we can affirm that time complexities such as       n*log(n) and n are fuzzy, because there is a missing part of precision,       but eventhough there is a missing part of precision, there is enough       precision that permits to predict that there resistance in reality are       average resistance.              Read the rest of my previous thoughts to understand:              I correct again one last typo, here is my final post about computational       complexity:              I continu about computational complexity by being more and more       rigorous, read again:              I said previously(read below) that for example the time complexities       such as n*(log(n)) and n are fuzzy, because we can say that n*(log(n) is       an average resistance(read below to understand the analogy with material       resistance) or we can say that n*log(n) is faster than if it was a       quadratic complexity or exponential complexity, but we can not say       giving a time complexity of n or n*log(n) how fast it is giving the       input of the n of the time complexity, so since it is not exact       prediction, so it is fuzzy, but this level of fuzziness, like in the       example below of the obese person, permits us to predict important       things in the reality, and this level of fuzziness of computational       complexity is also science, because it is like probability calculations       that permits us to predict, since computational complexity can predict       the resistance of the algorithm if it is high or low or average (by       analogy with material resistance, read below to understand).              Read my previous thoughts to understand:              What is science? and is computational complexity science ?              You just have seen me talking about computational complexity,       but we need to answer the questions of: What is science ?       and is computational complexity science ?              I think that we have to be more smart because there is like       higher level abstractions in science, and we can be in those       abstractions exact precisions of science, but we can be more fuzzy       precisions that are useful and that are also science, to understand me       more, let me give you an example:              If i say that a person is obese, so he has a high risk to get a disease       because he is obese.              Now you are understanding more that with this abstraction we are not       exact precision, but we are more fuzzy , but this fuzziness       is useful and its level of precision is also useful, but is it       science ? i think that this probabilistic calculations are       also science that permits us to predict that the obese person       has a high risk to get a disease. And this probabilistic calculations       are like a higher level abstractions that lack exact precision but       they are still useful precisions. This is how look like computational       complexity and its higher level abstractions, so you are immediately       understanding that a time complexity of O(n*log(n)) or a O(n)       is like a average level of resistance(read below to know why i am       calling it resistance by analogy with material resistance) when n grows       large, and we can immediately notice that an exponential time complexity       is a low level resistance when n grows large, and we can immediately       notice that a log(n) time complexity is a high level of resistance       when n grows large, so those time complexities are like a higher level       abstractions that are fuzzy but there fuzziness, like in the example       above of the obese person, permits us to predict important things in the       reality, and this level of fuzziness of computational complexity is also       science, because it is like probability calculations that permits us       to predict.              Read the rest of my previous thoughts to understand better:              The why of computational complexity..                     Here is my previous answer about computational complexity and the rest       of my current answer is below:                            [continued in next message]              --- SoupGate-Win32 v1.05        * Origin: you cannot sedate... all the things you hate (1:229/2)    |
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