"When the student is ready the Teacher appears"
Who said it first?
Our attempt to justify our beliefs logically by giving reasons results in the "regress of reasons." Since any reason can be further challenged, the regress of reasons threatens to be an infinite regress. However, since this is impossible, there must be reasons for which there do not need to be further reasons: reasons which do not need to be proven. By definition, these are "first principles." The "Problem of First Principles" arises when we ask Why such reasons would not need to be proven. Aristotle's answer was that first principles do not need to be proven because they are self-evident, i.e. they are known to be true simply by understanding them.
A universal statement I had been listening to for years. So I thought about it some and look for some comparative relation. How does this manifest? Who is "our father who art in heaven." You had to know this is within our capabilities. Roll your eyes and turn them upward in your head. The perception was never far from our own ephemeral qualites of mind, that we had access to heaven, "all the time":) That a heaven could be created here on earth.
That might be to religious for some. I think it, very human of us.
The pictures are links
Some problems with understanding what ever anyone saids about certain things, is the need for a Rosseta stone. The "other reader" has to have some idea of what you are talking about. If they don't, it's lost, and reading comprehension, never connects. So while up in the "air of mind" about these things, we want to bring it down to earth, fully aware, that these are higher principles with which we will deal. Spiritualism further out brought home to the mind for consideration.
In the quest to develop a notion of quantum geometry, as far back as 1947, people were trying to quantize spacetime so that the coordinates would not be ordinary real numbers, but somehow elevated to quantum operators obeying some nontrivial quantum commutation relations. Hence the term "noncommutative geometry," or NCG for short.
The current interest in NCG among physicists of the 21st century has been stimulated by work by French mathematician Alain Connes.
So in the case of science, how applicable is this relation and you need to see it working in society. Where the demands for a "first principle" might issue from, and here we could talk about the idea of cognitive realizations about where the math was first borne? The reason for it.
Probabilties exist, yet, how are they reduced to General Relativity? Models were produced to help us see differently? Like string theory.
If the basis of geometrical thought is understood then how shall it come from "first principle." As a string theorist they might know, and the problem brought home for consideration. There is currently is no geometry that describes the inner working of the place they know. So I have wrapped it in a process.
Now I see differently.
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