A Quote by Ian Stewart
Mathematics is the science of patterns, and nature exploits just about every pattern that there is.
Related Quotes
Mathematics is often defined as the science of space and number . . . it was not until the recent resonance of computers and mathematics that a more apt definition became fully evident: mathematics is the science of patterns.
Philosophically, mathematics is not a part of science. Mathematics studies patterns, science studies nature
The world is colors and motion, feelings and thoughts and what does math have to do with it? Not much, if 'math' means being bored in high school, but in truth mathematics is the one universal science. Mathematics is the study of pure pattern and everything in the cosmos is a kind of pattern.
In fact, the answer to the question "What is mathematics?" has changed several times during the course of history... It was only in the last twenty years or so that a definition of mathematics emerged on which most mathematicians agree: mathematics is the science of patterns.
I don't want to convince you that mathematics is useful. It is, but utility is not the only criterion for value to humanity. Above all, I want to convince you that mathematics is beautiful, surprising, enjoyable, and interesting. In fact, mathematics is the closest that we humans get to true magic. How else to describe the patterns in our heads that - by some mysterious agency - capture patterns of the universe around us? Mathematics connects ideas that otherwise seem totally unrelated, revealing deep similarities that subsequently show up in nature.
In short, no pattern is an isolated entity. Each pattern can exist in the world only to the extent that is supported by other patterns: the larger patterns in which it is embedded, the patterns of the same size that surround it, and the smaller patterns which are embedded in it.
Mathematics has two faces: it is the rigorous science of Euclid, but it is also something else. Mathematics presented in the Euclidean way appears as a systematic, deductive science; but mathematics in the making appears as an experimental, inductive science. Both aspects are as old as the science of mathematics itself.
There are only patterns, patterns on top of patterns, patterns that affect other patterns. Patterns hidden by patterns. Patterns within patterns. If you watch close, history does nothing but repeat itself. What we call chaos is just patterns we haven't recognized. What we call random is just patterns we can't decipher. what we can't understand we call nonsense. What we can't read we call gibberish. There is no free will. There are no variables.
Though the structures and patterns of mathematics reflect the structure of, and resonate in, the human mind every bit as much as do the structures and patterns of music, human beings have developed no mathematical equivalent to a pair of ears. Mathematics can only be "seen" with the "eyes of the mind". It is as if we had no sense of hearing, so that only someone able to sight read music would be able to appreciate its patterns and harmonies.
Mathematics is the science of patterns.
Humans are, by nature, pattern-seeking, storytelling animals, and we are quite adept at telling stories about patterns whether they exist or not.
What is striking is these things [patterns in nature, e.g. fish stripes] do look like something that has been crafted. We are conditioned to think that a pattern needs a patterner and so at first glance it seems incredible to us that nature is able to do this, without any sort of blueprint, without any sort of plan. These patterns organise themselves, that is the amazing thing.
If a building makes us light up, it is not because we see order; any row of file cabinets is ordered. What we recognize and love is the same kind of pattern we see in every face, the pattern of our own life form. The same principles apply to buildings that apply to mollusks, birds or trees. Architecture is the play of patterns derived from nature and ourselves.
All mathematics is is a language that is well tuned, finely honed, to describe patterns; be it patterns in a star, which has five points that are regularly arranged, be it patterns in numbers like 2, 4, 6, 8, 10 that follow very regular progression.
Mathematics is really an art, not a science. You could say science also is an art. So I would say the difference is something you can't really describe - you can only recognize. You hear somebody playing the violin, and it was Fritz Kreisler or it was somebody else, and you can tell the difference. It is so in almost every art. We just don't understand why it is that there are just a few people who are just completely off the scale and the rest of them are just mediocre. And we don't know why. But I say it's certainly true of mathematics.
Mental patterns do not originate out of inorganic nature. They originate out of society, which originates out of inorganic nature. And, as anthropologists know so well, what a mind thinks is as dominated by biological patterns as social patterns are dominated by biological patterns and as biological patterns are dominated by inorganic patterns. There is no direct scientific connection between mind and matter. As the atomic scientist, Niels Bohr, said, "We are suspended in language." Our intellectual description of nature is always culturally derived.
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