By James Bailey
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Extra resources for After Thought
The second choice, the selection of a resource with which to carry out the formulations, was easy. People were the only resource available. To complete the method, the Greeks needed only to solve the third problem: defining a fiction with which to describe the apparent motion of their computational sun and moon. " To the extent that this strategy seems self-evident, it is because it is still widely used today even though our view of the world has fundamentally changed since Greek times. When the Greeks used additosubtraction correction factors, the accepted wisdom was that reality itself was ordered and regular.
These vast sprawling formulations may then be adapted and changed in tiny, but persistent, ways. A whole new set of such sprawling maths is now being created. Collectively called evolutionary maths or intermaths or emergent behavior maths or net maths, they presuppose the electronic computing milieu. They take full advantage both of the elbow room and the eras ability of modern computer storage as they do their work. , modeling intelligent behavior) it may be the only feasible method .... IS These new intermaths have still-unfamiliar names like neural networks, genetic algorithms, simulated annealing, artificialltle, and cellular automata.
Fifteen hundred years later, these two basic formulations retained all the expressive power needed to support Nicholas Copernicus's great work, de Revolutionibus. When it was published in 1543, however, printing was already well establisned. Diagrams like Copernicus's, so welcome in the scriptorium, were anathema to the composing room. Geometric maths were already being replaced by algebraic maths that could both express rates of change and be typeset. Diagrams from the first edition of de Revolutionibus courtesy of the Boston Athenaeum.
After Thought by James Bailey