an infinity of infinities

I was thinking today about the infinite density of the real numbers a la set theory. Then it occurred to me that Cantor has an elegant proof for the incompleteness of the density of real numbers – that I would like to show in a scaled down model. Suppose one thought that numbers could only [...]

Time interests

I was thinking. . .
When we look at the theory of Relativity in comparison with classical physics in the relation of time to motion, gravity, space and so forth, we see the dissolution of the exact and eternal time arrow. Rather (possibly because it make equations look better) we now conceive of a “space-time” in [...]

uncertain about uncertainty

I was thinking about physics again…..
Why is the relationship between mathematics and physics so strong? Remember, where Plato taught had the sign “Let no one enter who does not first know Geometry”. Examine (though bad examples of philosophers) Descartes, Leibnitz, Kant (in his own way), even in modern times Edmund Husserl, – all mathematicians. Even [...]

Self-Reference and the Problem of meta-

It has always amazed me that the members of the scientific community always base their branch of science as the queen. Paul Davies, for example, does so in “God and the New Physics”. But every time a discipline speaks of more than its content – generalizing to say something about the universe or whatever – [...]

Sic transit gloria mundi. . .

I was thinking about physics again… I find it interesting the reasoning that they use and the evidence that they have, and then the bizarre leaps from evidence to theory. For example, if you see that light is wavelike and can be shifted (like the Doppler effect of a passing train) depending on the motions, [...]

fuck quantum uncertainty (again for those who know)

I was thinking

while reading a lecture by Paul Dirac today (nobel physicist, 1933), at the abject absurdity of mathematical constructs of nature. . . He discusses in his first lecture on how a quantum theory would mathematically arise out of a classical dynamic theory of motion, in terms of atomism. But that theory in its [...]