Originally Posted by
Daemon Corax
Actually, I would find it quite strange if my math teacher suddenly came with philosophical explanations and analogies for such concepts. The fact that the infinite patter you associate with .999_ could be thought of as similar to our universe expanding is not a matter of pure mathematics (as I see it), reason why this thread's in the Philosophy and Spirituality category. The concept of an "infinite pattern" also brought to my mind fractals, which also have a mathematical basis. Education (or the educational system, if you prefer) could be blamed for several things, but not making such correlation between distinct subjects (correlations which may also be controversial) is not one of them.
On the other hand, philosophy is a subject that, as studied in school, focuses on many other aspects. You are only taught accedemics in university, it must be taught to lower grades. They are highly capable. A childs mind is much more open than that of an adult. I think a more intuitive way of thinking should be taught and more individal improvement focus rather than grades and class average.
There is an interesting BBC documentary, "How long is a piece of string?" in which one man explores quantum mechanics. He speaks with various people involved in science at different levels and he learns that the piece of string he wants to measure could also be infinite (if we think of it as having infinite patterns inside itself in a way similar to fractals) Yes and you can never cut two peices of wood the exact same size since the - magnification seems to go on for infinity.
I'd also have to say they teach you that .999_=1, so yes, you were taught to think on such a scale. They may not say it in a blunt manner, since this equality lays under a question mark, so to speak. This thread reminded me of the rather complex operation of dividing by 0. You could say that x/0 equals infinity, although you were earlier taught that you cannot divide by 0 and concrete thinking tells you that doing so would be both impossible and pointless (mathematics is abstract, after all).
I wouldn't really say that we weren't taught to "think on such a scale", going deep into this "theory" simply does not lead to much if we have math in mind. Philosophically speaking, you can do that in order to put your mind to work and you could also read books by mathematicians and/or philosopher that treat such perspectives. we weren't, you had a point in your first paragragh when you said that bit about corelations, but it is controversial. Philosophicaly speaking, nobody really knows anyhting for sure, at all. Since there is not an absolute science towards what conciousness has to do with reality and also no absolute sciencec for anything quantum... so common conceptions of math is irrelevant when trying to seek the deepest answers to the deepest questions of life. Because deeper conceptions can always be realized. This thread is merly speculation on a subject not know to man (to my perception), so old concepts of "accedemia" are irrelevant when trying to uncover new things (that's to that infj guy)