Anyone who attempts to generate random numbers by deterministic means is, of course, living in a state of sin.
Mathematics is not yet ready for such problems.
Men cannot be treated as units in operations of political arithmetic because they behave like the symbols for zero and the infinite , which dislocate all mathematical operations.
In mathematics we have long since drawn the rein, and given over a hopeless race.
Differential equations won't help you much in the design of aeroplanes - not yet, anyhow.
If you come from mathematics, as I do, you realize that there are many problems, even classical problems, which cannot be solved by computation alone.
I don't believe you can reduce the world to a mathematical formula. I start with the world, assume it's complicated, and ask where can I get help from a whole range of disciplines.
"One and one make two" assumes that the changes in the shift of circumstance are unimportant. But it is impossible for us to analyze this notion of unimportant change.
It could be that the methods needed to take the next step may simply be beyond present day mathematics. Perhaps the methods I needed to complete the proof would not be invented for a hundred years.
Why is geometry often described as cold and dry? One reason lies in its inability to describe the shape of a cloud, a mountain, a coastline or a tree.
