More on this book
Community
Kindle Notes & Highlights
“Lo! the raptured arithmetician!”
“This may not be what George Washington looked like then,” a tour guide was overheard saying of the Gilbert Stuart painting at the Metropolitan Museum of Art, “but this is what he looks like now.”
A number is (we now understand) information.
“At each given moment there is only a fine layer between the ‘trivial’ and the impossible,”♦ Kolmogorov mused in his diary. “Mathematical discoveries are made in this layer.”
It made sense now to say that a dynamical system produces information. If it is unpredictable, it produces a great deal of information.
The laws of mathematics being universal, we tend to think that Π would be one message any intelligent race would recognize. Only, they could hardly be expected to know the Greek letter. Nor would they be likely to recognize the decimal digits “3.1415926535 …” unless they happened to have ten fingers.