Sigmund Freud Quotes

I recited Pi to 22,514 decimal points in five hours and nine minutes. I was able to do this because of weeks of study, aided by the unusual synaesthesic way my mind perceives numbers as complex multidimensional coloured and textured shapes.

Equations are just the boring part of mathematics. I attempt to see things in terms of geometry.

It is impossible to imagine a four-dimensional space. I personally find it hard enough to visualize a three-dimensional space!

Can you imagine young people nowadays making a study of trigonometry for the fun of it? Well I did.

It is often said that men are ruled by their imaginations; but it would be truer to say they are governed by the weakness of their imaginations.

I've always been passionate about geometry and the study of three-dimensional forms.

I was always very strong in math, physics and calculus.

Evolution has ensured that our brains just aren't equipped to visualise 11 dimensions directly. However, from a purely mathematical point of view it's just as easy to think in 11 dimensions, as it is to think in three or four.

When I multiply numbers together, I see two shapes. The image starts to change and evolve, and a third shape emerges. That's the answer. It's mental imagery. It's like maths without having to think.

I write my books in my head, and not in a specific study with a view. The view is from my inner eyes.

The study of mathematics, like the Nile, begins in minuteness but ends in magnificence.

To grasp the essence of chirality, it is instructive to withdraw for a moment from the familiar three-dimensional world into a two-dimensional one, into a plane, and enquire what chirality means there.

There is no royal road to geometry.

I've always had a more spatial mind, mathematical, than literal.

Math is one of my favorite subjects.

I didn't discover curves; I only uncovered them.

I've got a real sense of three-dimensional geometry. I can look at a flat piece of fabric and know that if I put a slit in it and make some fabric travel around a square, then when you lift it up it will drape in a certain way, and I can feel how that will happen.

Algebras deal not with laws of number, but with such laws of the human thinking machinery as have been discovered in the course of investigations on numbers. Plane geometry deals with such laws of thought as were discovered by men intent on finding out how to measure surface; and solid geometry with such additional laws of thought as were discovered when men began to extend geometry into three dimensions.

If it is not now the time to study Geometry, when will it be?

I've always had a great feel for space and how objects occupy it.

When I'm problem-solving with something, I have, effectively, a CAD program in my head that's like a room that has specific qualities to it that I go to some deal of effort to populate. Textures and smells, something like that.

I think I still like science and art better, but geometry is a big improvement over algebra.

I remember, at MIT, we had to write an essay about something mathematical that you do in your extra time. I basically wrote about how dance, to me, was geometry: it was all shapes.

The ludicrous state of solid geometry made me pass over this branch.

I regret that it has been necessary for me in this lecture to administer a large dose of four-dimensional geometry. I do not apologize, because I am really not responsible for the fact that nature in its most fundamental aspect is four-dimensional. Things are what they are.