An elementary treatise on cubic and quartic curves by A. B. Basset

By A. B. Basset

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In addition, once a precise scientific explanation has been assembled, it can be dissociated from the real world. In the abstract realm, it can then be rotated about and seen from various angles, perhaps angles that are normally inaccessible or even unnatural, and it can be manipulated, modified, or dismantled in any variety of abstract maneuvers or thought experiments. In this way, scientific explanations become the scientist's infinitely tinkerable pocket models. The essential contribution of scientific explanations, however, is their role as the constructure of science.

Duhem (1954) The Aim And Structure Of Physical Theory Princeton Univ. Press]: (a) Demarcate natural patterns. (b) Split the patterns into component parts. (c) Model the patterns as scientific abstractions composed of the component parts. (d) Build a scientific explanation. Having followed this recipe, the scientist can then apply a practical test of the formality of his abstract constructions. , written as a completely specified algorithm or computer program. ', the more formal the construction can be considered to be.

At heart, however, most of us do not begrudge machines the vast arenas that they occupy in our lives. Machines, as other creations, are extensions of ourselves; the depths of time and space that they plumb become depths that we can plumb, and the ornate designs that they form become reworkings of ourselves. Machines are physical devices, but they have been very closely modelled in the abstract realm by a branch of discrete mathematics called Automata Theory. By `machine', scientists usually mean a physical device, a gadget in the real world.

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