It's a stretch, isn't it? I think Tegmark's ideas somehow hinge upon the notion of "isomorphism" - the physical universe is the "same" as a purely mat...
Congratulations on your good fortune. My only experience with a billionaire was to drive around Jackson Hole sixty years ago in a model T with him pic...
Try this on for size: Catastrophe theory I had a math friend, a fellow climber in fact, who worked with Thom. This topic made a stir when it first cam...
If you speak of chaotic systems, then chaotic theory searches for underlying patterns and deterministic formulae that depend upon initial conditions i...
Perhaps it would clarify the arguments if placed in the following stark scenario: A scientist creates a robot that he programs to kill the first human...
Perhaps a conscious decision is one where we logically weigh all factors and do some sort of analytics to determine a course of action, whereas most d...
I have my doubts about free will. Many decisions seem to pop into consciousness from hidden areas of the brain. However, we do have agency - the abili...
Probably because points have no dimension. The real numbers are complicated and fascinating. Look, suppose I pick at random a point in the interior of...
Then there's that hypothetical spaceship we are in, approaching a Black Hole at a constant speed. We sail in and if not annihilated continue our explo...
The news media gives its viewers what they seem to want. CNN tilts to the left and FOX tilts to the right in their presentations (evening news, e.g., ...
I'm well aware of the situation. :cool: Having communicated with him I believe he has a graduate degree in physics. However, his concerns are with the...
Give me an example of a number you think is left out. I bet it's not. Avoid the .999... =1.0 thing. Have you figured out what the algorithm is? The de...
Take the square {(x,y):0<x<1,0<y<1} and map it one-to-one to the line {r:0<r<1) by using the procedure implied by the simple example (.329576914..., ....
This is getting painful to watch. A simple example shows that the "number" of points in the interior of a cube {p=(x,y,z):0<x<1,0<y<1,0<z<1} , is exac...
Yes, I do think there is a connection. I knew and climbed with ten or so fellow math guys from different locales over the years. For me it was problem...
I agree. Many years ago I was on a USAF Office of Scientific Research grant. At the time I was grateful for the financial support, but I wondered why ...
Let's be careful we don't consider the following and similar scientific studies racist. There are differences related to origins that should not be fo...
Interesting article if a bit long-winded. Two nit-picking comments: 1. The massive amount of "pure" mathematical knowledge produced in the last three ...
It was about forty-five years ago when I decided to try Castaneda's simple instructions. They worked the first time, and the experience was astounding...
There doesn't seem to be any current interest in this topic, so I'll make a few observations, then let the thread fizzle away. I have some expertise i...
Probably, you are correct. Desalinization itself will require huge amounts of dependable energy. I think the human race will adapt. But it won't be pr...
The interpretation of infinite I use as a mathematician (complex analysis) coincides with one employed in the physical world: unbounded. Were I to be ...
Even as a mathematician, beyond equivalence relations the word "symmetry" has always left me a bit uneasy, so I have avoided it. And in modern physics...
I'm sure you will agree that the actual experience of these mental states cannot be adequately described to those who haven't enjoyed them. Years ago ...
Yes. More like the legal standard of equitable. A fair assessment, not necessarily equal, as in a divorce proceeding where assets should be shared in ...
The only truly clean energy of which I'm aware is the passive solar type that is built into my house. Outside ten degrees, inside seventy. Virtually n...
How true. My dabbling in complex dynamics seems entirely devoid of physical applications, other than amazing imagery. Few of my colleagues spent time ...
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