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more complex than they first appear. They are infinite, yet there are different infinities, and they have meaning. The smallpox example above and the Turing numbers we will discover shortly suggest numbers do have meaning independent of culture and language. The next two chapters will show us what happens
away their secrets. The Enigma machine was an elegant compromise between a truly unbreakable code and a simple cipher. Unfortunately for the Germans, Turing was on the side of the Allies. In the 1930s almost all mathematics, accounting, and code-breaking were performed by humans using pencil and paper. I
atica Amazon Listing for Principia Mathematica are undervalued. When mathematicians use the letters ‘PM’, they are usually referring to Russell and Whitehead’s Principia Mathematica rather than the afternoon. Hilbert’s Problems In 1900, while Russell and Whitehead were in full flow writing out their rules
a topic absent from a typical computer-science education: the physical configuration of a 118 HOUSE_OVERSIGHT_016921 computation. Von Neumann and Turing posed their questions as theoretical studies, because it was beyond the technology of their day to realize them. But with the convergence of communic
ce in terms of feedback, exploring the cultural rather than engineering uptake of this idea. She begins with primary readings by Wiener, Shannon, and Turing and then pivots from the scientists and engineers to the work and ideas of artists, feminists, postmodern theorists. Her goal: to come up with a new
s is because it’s easy to tell the stories about AI and robots, and in part because of early successes (e.g., theorem provers that reproduced most of Whitehead and Russell’s Principia Mathematica) and massive military funding. The earlier and broader vision of cybernetics, which considered the artificial as
a topic absent from a typical computer-science education: the physical configuration of a 118 HOUSE_OVERSIGHT_016338 computation. Von Neumann and Turing posed their questions as theoretical studies, because it was beyond the technology of their day to realize them. But with the convergence of communic
ce in terms of feedback, exploring the cultural rather than engineering uptake of this idea. She begins with primary readings by Wiener, Shannon, and Turing and then pivots from the scientists and engineers to the work and ideas of artists, feminists, postmodern theorists. Her goal: to come up with a new
s is because it’s easy to tell the stories about AI and robots, and in part because of early successes (e.g., theorem provers that reproduced most of Whitehead and Russell’s Principia Mathematica) and massive military funding. The earlier and broader vision of cybernetics, which considered the artificial as
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