@jeeprs,
jeeprs;134906 wrote:but another interesting point is why irrational numbers are called 'irrational'. Wasn't this because the Platonic model felt that the ideal realm always consisted of perfect shapes and whole numbers? So the existence of ratios such as pi really bothered them. I seem to recall they are also called 'surds' which is short for 'absurd numbers'.
The other point, however, is much more like a neo-Buddhist analysis of the shortcomings of discursive consciousness.
Plato was right. I just realized that pi is not truly a number, but only a logarithm. Irrational numbers are a contradiction in terms. Pi is no more transcendental than the infinite is infinite. Neither can be thought. Both can only be experienced as open-ended logarithms. It is not logical to speak of that which does not exist. The digits of pi we have not computed are not yet numbers. Are not yet known and not yet
truly nameable, for the name of numbers are themselves logarithms, as Wittgenstein demonstrates. THere is one number, and one operator. The rest is pragmatic invention, for convenience! I sh*t you not. Pi is a perfect metaphor for human existence, as it is the imposition of number on spatial continuity (a perfectly straight diameter piercing the perfect circles center....)
Discursive consciousness...yes..and
all thinking is
essentially discursive, as all thinking is the negation of accident in order to posit essence. It's not that all experience is discursive, but one cannot
speak of the continuous. One can paint or sing or dance, but never speak....ommmm comes closest perhaps...silence closer.