Editing Talk:1574: Trouble for Science
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About gaussian irregularities. Using a computer and floating point numbers, someone would see irregularities on a gaussian distribution. That amounts to sampling the curve with a small but finite precision. Computing the value a any given point could lead to rounding errors and would be seen as irregularities. {{unsigned ip|108.162.219.118}} | About gaussian irregularities. Using a computer and floating point numbers, someone would see irregularities on a gaussian distribution. That amounts to sampling the curve with a small but finite precision. Computing the value a any given point could lead to rounding errors and would be seen as irregularities. {{unsigned ip|108.162.219.118}} | ||
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Gregory Chaitin makes a case for using experimentally observed mathematical relations to increase the expressiveness of mathematics beyond the limits of purely deductive axiomatic methods. If this trend is adopted, it might conceivably develop that a set of foundations that support what would then be known as the "normal distribution" could have significant irregularities which would result in either adoption of this new effect, or changing the foundational proposition from which the effect is derived, or both. Randall's headline may be predictive of the type of thing that may be seen as more mathematicians explore conjectures aided by computer computations using numeric and symbolic congruences. | Gregory Chaitin makes a case for using experimentally observed mathematical relations to increase the expressiveness of mathematics beyond the limits of purely deductive axiomatic methods. If this trend is adopted, it might conceivably develop that a set of foundations that support what would then be known as the "normal distribution" could have significant irregularities which would result in either adoption of this new effect, or changing the foundational proposition from which the effect is derived, or both. Randall's headline may be predictive of the type of thing that may be seen as more mathematicians explore conjectures aided by computer computations using numeric and symbolic congruences. |