21 quotes
Most scientists until fairly recently are determinists.
The Free Will Lectures (2009)
Neither of us could have done it without the other.
The Free Will Lectures (2009)
We are planning a sequel... The Geometry of Low-Dimensional Groups and Lattices which will contain two earlier papers...
Sphere Packings, Lattices and Groups (1988)
A particle does one thing or another, and there's no reason... There's nothing in the previous history of the universe which tells it what to do.
The Free Will Lectures (2009)
We don't think it's an illusion ...It's not ...We think we have free will.
The Free Will Lectures (2009)
The Free Will Theorem [s]ays roughly, that "if... humans have free will, then so do the elementary particles outside us.
The Free Will Lectures (2009)
No extension of quantum mechanics can recover... total predictivity.
The Free Will Lectures (2009)
The consistency of determinism doesn't mean that it's true. Mathematicians are accustomed to have consistency proofs. They say nothing about truth. They just say something about what might be true.
The Free Will Lectures (2009)
Descartes' dualism... is explicitly contradicted by our theorem.
The Free Will Lectures (2009)
I believe, and most people believe until they are educated out of this belief, that we are... free.
The Free Will Lectures (2009)
Don't think... I believe unreservedly in quantum mechanics, but I'm not going to change my mind before there's some reason...
The Free Will Lectures (2009)
I find it... fantastic that somebody 2,000 years ago could have suggested that atoms... have free will.
The Free Will Lectures (2009)
FIN [from finite speed] is the axiom... from relativity theory that information... can't travel faster than the speed of light.
The Free Will Lectures (2009)
There is... strong evidence that these three axioms... are true.
The Free Will Lectures (2009)
There isn't anything really, in the last resort that isn't inductive. Even the laws of deductive logic have been established only by induction. ...We can't use deductive logic ...
The Free Will Lectures (2009)
[R]elativity is an important part of the game.
The Free Will Lectures (2009)
You should... believe... in the things that have been tested... strongly until... evidence against them...
The Free Will Lectures (2009)
The classical... problem... asks: is this the greatest density..? an unsolved problem, one of the most famous...
Sphere Packings, Lattices and Groups (1988)
The densest possible packings are known for n \leqslant 8. ...\Lambda_n... represents a laminated lattice... the densest lattices in up to 8 dimensions...
Sphere Packings, Lattices and Groups (1988)
In this chapter we discuss the problem of packing spheres in Euclidean space and of packing points on the surface of a sphere. The kissing number problem is an important special case of the latter, and asks how many spheres can just touch another sphere of the same size.
Sphere Packings, Lattices and Groups (1988)