fresco wrote:Setanta,
You may indeed be correct about the applicability of "objectivity" at the the everyday "macro-level" but this plays straight into the hands of theists who argue for "other levels". Further it delimits discussions of "reality" in the same way that Newtonian physics is delimited relative to later developments.For "reality" such developments would include sociolinguistics and second order cyberntic consideration of "observation".
I suggest that you are mistaken about "playing straight into the hands of theists." Theists are even less likely than i would be to attempt to carry on such a discussion about the nature of reality with you--for the dedicated theist, their theism constitutes reality, and all objections or qualifications of the description of reality are referable to their deity and his/her works.
My point is that, absent more and more conclusive data, it is entirely possible that quantum physics actually does no violence to concepts of "macro reality," because the effects of observation on that which is observed is only quantifiable at that level, or only actually occurs at that level.
As to the mathematical conclusions of various cultures, i chose four examples precisely because they reached those conclusion using the same methods,
but with significantly different systems of expression. I consider the Greeks to have accomplished quite amazing mathematical "feats" because they had no formal system of enumeration, and simply used the words for numbers. The Mayans used a system of lines and dots. The Indians used "purpose-built" numerical symbols, which have come down to us as "Arabic numerals." The Balinese used "purpose-built" numerical symbols (which i am not qualified to describe). There was no case of anyone "getting together" to compare notes. It has been observed since these mathematical computations were already concluded in each of the four cultures that they coincide, which can be demonstrated by "translating" any one of them into the notation system used by another, or by reference to a fifth party system of notation.
There is a point at which reference to philosophy and semantics ceases to be a reasonable subset discussion of the terms of mathematics and science, and becomes solely a discussion of terms which are no longer relevant to the mathematical or scientific investigations to which such philosophical and semantic discussion refer.