Abstract
If Pythagoras’ view of the world is convincing—and in today’s world everything seems to be convincing evidence of his views—the ultimate task of any description of our world must be the production of significant numbers. However, even though on the one hand numbers come from measurements, as we have seen in the first chapter, on the other hand our mathematical description in Chap. 2 employs abstract objects that are closer to a Platonic conception of the universe rather than to a Pythagorean one.
…we are told that the numbers are not separable from the things, but that existing things, even perceptible substances, are made up of numbers; that the substance of all things is number, that things are numbers …
Sir Thomas Heath, A History of Greek Mathematics,
Ch. III: Pythagorean Arithmetic
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Notes
- 1.
Note that here the meaning of the notation D is different from that in the definition (3.2), where it denotes the directional derivative.
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Iannelli, M., Milner, F. (2017). Numerical Methods for the Linear Model. In: The Basic Approach to Age-Structured Population Dynamics. Lecture Notes on Mathematical Modelling in the Life Sciences. Springer, Dordrecht. https://doi.org/10.1007/978-94-024-1146-1_3
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