All the speed he took, all the turns he'd taken and the corners he'd cut in Night City, and still he'd see the matrix in his sleep, bright lattices of logic unfolding across that colorless void...

Her fingers found a random second stud and she was catapulted through the static wall, into cluttered vastness, the notional void of cyberspace, the bright grid of the matrix ranged around her like an infinite cage.

When [<nowiki/>Born and Heisenberg and the Göttingen theoretical physicists] first discovered matrix mechanics they were having, of course, the same kind of trouble that everybody else had in trying to solve problems and to manipulate and to really do things with matrices. So they had gone to Hilbert for help and Hilbert said the only time he had ever had anything to do with matrices was when they came up as a sort of by-product of the eigenvalues of the boundary-value problem of a differential equation. So if you look for the differential equation which has these matrices you can probably do more with that. They had thought it was a goofy idea and that Hilbert didn’t know what he was talking about. So he was having a lot of fun pointing out to them that they could have discovered Schrödinger’s wave mechanics six month earlier if they had paid a little more attention to him.

It's a bit like The Matrix... We provide the land, and the community builds the actual world, which gives everyone a huge sense of being pioneers in a great experiment.

The current technological and scientific revolution implies not that authentic individuals and authentic realities can be manipulated by algorithms and TV cameras, but rather that authenticity is a myth. People are afraid of being trapped inside a box, but they don’t realise that they are already trapped inside a box – their brain – which is locked within a bigger box – human society with its myriad fictions. When you escape the matrix the only thing you discover is a bigger matrix. When the peasants and workers revolted against the tsar in 1917, they ended up with Stalin; and when you begin to explore the manifold ways the world manipulates you, in the end you realise that your core identity is a complex illusion created by neural networks.

A year here and he still dreamed of cyberspace, hope fading nightly. All the speed he took, all the turns he'd taken and the corners he cut in Night City, and he'd still see the matrix in his dreams, bright lattices of logic unfolding across that colourless void... The Sprawl was a long, strange way home now over the Pacific, and he was no Console Man, no cyberspace cowboy. Just another hustler, trying to make it through. But the dreams came on in the Japanese night like livewire voodoo, and he'd cry for it, cry in his sleep, and wake alone in the dark, curled in his capsule in some coffin hotel, hands clawed into the bedslab, temper foam bunched between his fingers, trying to reach the console that wasn't there.

Mathematics became an experimental subject. Individuals could follow previously intractable problems by simply watching what happened when they were programmed into a personal computer. ...The PC revolution has made science more visual and more immediate ...by creating films of imaginary experiences of mathematical worlds. ...Words are no longer enough.

Mathematics became an experimental subject. Individuals could follow previously intractable problems by simply watching what happened when they were programmed into a personal computer. ...The PC revolution has made science more visual and more immediate. ...by creating films of imaginary experiences of mathematical worlds. ...Words are no longer enough.

It's really simple. The truth of that one is that design staff on The Matrix were given Invisibles collections and told to make the movie look like my books. This is a reported fact. The Wachowskis are comic book creators and fans and were fans of my work, so it's hardly surprising. I was even contacted before the first Matrix movie was released and asked if I would contribute a story to the website. (...) I'm not angry about it anymore, although at one time I was, because they made millions from what was basically a Xerox of my work and to be honest, I would be happy with just one million so I didn't have to work thirteen hours of every fucking day, including weekends. (2005)

We're way closer to The Matrix than people realize, It's not going to be The Matrix—The Matrix is a movie and it misses all the interesting technical subtleties and just how weird the post-brain-computer interface world is going to be.It turns out that your brain has really good interfaces for some things and really badly designed, kludge-y interfaces for doing other things. And, the fact that your immune systems gets involved in your perceptions of temperature means there are all sorts of weird parts of your brain that participate in the sensation of being cold, whereas things like your motor cortex or your visual cortex are much more tractable problems. And that's what I mean. We're going to learn a lot as we proceed as to what things work and what things don't, what things are valuable to people and what things are party tricks that don't really matter in the long run ... I think that it's an extinction-level event for every entertainment form that's not thinking about this.

"...this, this life, this "everything" you know is a mere paper construction. You, my TV dinner-sucking, glazed-eyed friends, are living in ... the matrix ... and all you have to do to see the real world, God and Satan's glorious kingdom on Earth, all you have to do to taste real life is to risk being your true self... to dare... to watch... to listen... to all the late-night staticky-voiced deejays playing "race" records blowing in under the radar, shouting their tinny AM radio manifesto, their stations filled with poets, geniuses, rockers, bluesmen, preachers, philosopher kings, speaking to you from deep in the heart of your own soul. Their voices sing, "Listen... listen to what this world is telling you, for it is calling for your love, your rage, your beauty, your sex, your energy, your rebellion... because it needs you in order to remake itself. In order to be reborn into something else, something maybe better, more godly, more wonderful, it needs us.

This new world is a world of black and white. A place of freedom where the two most culturally powerful tribes in American society find common ground, pleasure and joy in each other's presence. Where they use a common language to speak with... to be with one another.

The concrete world isn't necessarily the most powerful world. The world of the mind — whether you're watching Matrix or whatever — the world that's inside here has the power to do a lot of good and a lot of damage.

Mathematics, like music and poetry, is a creation of the mind; … the primary task of the mathematician, like that of any other artist, is to extend man's mental horizon by representation and interpretation.

Mathematics is us reverse engineering the language of nature,