Geoffrey Hinton Quotes

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

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.

Drawings help people to work out intricate relationships between parts.

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

To solve the Cube, you need special skills and understanding. For example, pattern recognition is very important to solve the Cube.

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've always been interested in visualizing something, whether it's a memory or an idea you want to be true. I am a big believer in that. I'm constantly thinking of that. If I can't picture something, then it doesn't make sense to me.

tend to be better at describing feelings and ideas, and worse at painting a picture of any physical thing. I have terrible spatial reasoning skills so even if I were describing my girlfriend, whom I see every day, it sound like I was talking about a child's drawing of her. "Very beautiful. Glasses. Brown hair. Super smart brain. Bigger than our dog. Smaller than me".

If you can imagine a thing, conjure it up in space then you can make it... The universe is real but you can't see it. You have to imagine it. Then you can be realistic about reproducing it.

I can picture certain things in my mind, while writing the script, but then I can also tell that everyone else might be a little confused about what it's supposed to look like at the end of the day. But it all works out. I find a way.

From a mathematical standpoint it is possible to have infinite space. In a mathematical sense space is manifoldness, or combinations of numbers. Physical space is known as the 3-dimension system. There is the 4-dimension system, the 10-dimension system.

Some guys need to see things on a grease board, ... I like when you can see it in your mind. And that's what Marvin does, too. He visualizes. He sees things in his mind so well.

Before he has seen the whole, how unusually perceptive and imaginative the person must be to evolve the entire sequence by meditating on its single, pair or triplet of essential images.

Photography sees surfaces, it doesn't see space. We see space but the camera doesn't.

All intelligent problem solvers are subject to the same ultimate constraints - limitations on space, time, and materials.

Imagination is the primary gift of human consciousness.

You must intensify and render continuous by repeatedly presenting with suggestive ideas and mental pictures of the feast of good things, and the flowing fountain, which awaits the successful achievement or attainment of the desires.

I never hit a shot, not even in practice, without having a very sharp, in-focus picture of it in my head. It's like a color movie. First I 'see' where I want it to finish, nice and white and sitting up high on the bright green grass. Then the scene quickly changes and I 'see' the ball going there: its path, trajectory, and shape, even its behavior on landing. Then there is this sort of fadeout, and the next scene shows me making the kind of swing that will turn the previous images to reality.

You leave space for the body, imagining the other part even though it isn't there.

It is always more easy to discover and proclaim general principles than it is to apply them.

Imagination is cheap as long as you don't have to worry about the details.

A key basketball skill is imagery. The best players "see" situations before they happen so they can be prepared

In Comme des Garçons, I hardly do any sketches; there's no fittings on bodies, there's no models that come in and say, "Oh, a little bit like this." In the beginning, there isn't even a theme. It's like getting the whole world at your feet - to empty your mind of everything that's ever happened before, to get an empty space.

Strange! I don't understand how it is that we can write mathematical expressions and calculate what the thing is going to do without being able to picture it.

...thinking from the end causes me to behave as if all that I'd like to create is already here. My credo is: Imagine myself to be and I shall be, and it's an image that I keep with me at all times.