Aug. 25th, 2015

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Let us imagine a white surface with irregular black spots on it. We now say: Whatever sort of picture arises in this way, I shall always be able to approximate it as close as I like to its description by covering the surface with a suitable fine square network and saying of each square that it is white or is black. In this way I shall have brought the description of this surface into a unitary form. This form is arbitrary, for I could with equal success have used a triangular or hexagonal net. It may be that the the description by means of a triangular net would have been simpler, i.e. that we could have given a more accurate description of the surface with a coarser triangular net than with a finer square one (or vice versa) etc. Different systems of describing the world correspond to the different nets.

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