A Quote by Lynn Steen
What humans do with the language of mathematics is to describe patterns... To grow mathematically children must be exposed to a rich variety of patterns appropriate to their own lives through which they can see variety, regularity, and interconnections.
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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.
What humans do with the language of mathematics is to describe patterns.
A pattern is a guide or a model. Patterns are used in sewing and knitting, in wood and metalworking, and in a wide variety of other productive pursuits, activities, and jobs. Patterns help to avoid waste and unwanted deviations and facilitate uniformity that is appropriate and beneficial.
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.
There are only patterns. Patterns on top of patterns, patterns that affect other patterns, patterns hidden by patterns, patterns within patterns.
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.
There are always patterns in everything, there are patterns in books, there are patterns in human behavior, there are patterns in success, there are patterns for everything in life. You just need to pay attention to them.
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.
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.
I've always been a fan of or desired to or responded to variety. I like variety in life, so variety in work is a must.
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.
If you record things, you're going to find, patterns of things, and patterns are important, because you can then see the patterns form before it happens.
Intuition is when we use our experience, and the patterns we have learned, to rapidly size up situations and know how to respond without going through deliberate analysis. Intuitions depend on the patterns we have acquired. Insight is about gaining new patterns.
If you listen to the urban speech patterns there you'll find it's quite characteristic that a sentence will begin in one language, go through a second language and end in a third. It's the very playful, very natural result of juggling languages. You are always reaching for the most appropriate phrase.
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.
Within a Metaphysics of Quality, science is a set of static intellectual patterns describing this reality, but the patterns are not the reality they describe.
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