A Quote by John Forbes Nash
Nowadays we can do computer experiments using Mathematica, and even solve a system of 42 equations. This offers another route to knowledge, rather than mere ideas.
Related Quotes
I wanted to figure out how long to cook things. I did some experiments and then wrote a program using Mathematica to model how heat is transferred through food.
Social innovation thrives on collaboration; on doing things with others, rather than just to them or for them: hence the great interest in new ways of using the web to 'crowdsource' ideas, or the many experiments involving users in designing services.
When I use a direct manipulation system whether for text editing, drawing pictures, or creating and playing games I do think of myself not as using a computer but as doing the particular task. The computer is, in effect, invisible. The point cannot be overstressed: make the computer system invisible.
Artificial intelligence is based on the assumption that the mind can be described as some kind of formal system manipulating symbols that stand for things in the world. Thus it doesn't matter what the brain is made of, or what it uses for tokens in the great game of thinking. Using an equivalent set of tokens and rules, we can do thinking with a digital computer, just as we can play chess using cups, salt and pepper shakers, knives, forks, and spoons. Using the right software, one system (the mind) can be mapped onto the other (the computer).
To solve a problem is to create new problems, new knowledge immediately reveals new areas of ignorance, and the need for new experiments. At least, in the field of fast reactions, the experiments do not take very long to perform.
Ideas, as the raw material from which knowledge is produced, exist in superabundance, but that makes the production of knowledge more difficult rather than easier. Many ideas- probably most- will have to be discarded somewhere in the process of producing authenticated knowledge. Authentication is as important as the raw information itself, and the manner and speed of the authentication process can be crucial.
The only knowledge that can truly orient action is knowledge that frees itself from mere human interests and is based in Ideas - in other words knowledge that has taken a theoretical attitude.
Even in relativity theory even though you can analyze space - time in terms of this four-dimensional geometrical structure one of the dimensions is different. And this shows up in the equations. It has a different sign - rather than plus it shows up as a negative minus. So even in relativity theory time is distinct from space in terms of the way in which these dimensions manifest themselves in the equations.
Mathematicians may flatter themselves that they possess new ideas which mere human language is as yet unable to express. Let them make the effort to express these ideas in appropriate words without the aid of symbols, and if they succeed they will not only lay us laymen under a lasting obligation, but, we venture to say, they will find themselves very much enlightened during the process, and will even be doubtful whether the ideas as expressed in symbols had ever quite found their way out of the equations into their minds.
After Pope, in the beginning of Romanticism, people developed the idea that imagination rather than reason was a special form of knowledge and its best expression is through poetry. Therefore, poetry should not try to do the stuff that mere prose does: convey information or make arguments about ideas.
A philosophy can only be a route to knowledge. It cannot be knowledge crammed down one's throat. If one has a route, he can then find what is true for him. And that is Scientology.
And if there be any addition to knowledge, it is rather a new knowledge than a greater knowledge; rather a singularity in a desire of proposing something that was not knownat all beforethananimproving, anadvancing, a multiplying of former inceptions; and by that means, no knowledge comes to be perfect.
The computer offers another kind of creativity. You cannot ignore the creativity that computer technology can bring. But you need to be able to move between those two different worlds.
Holding on to beliefs limits our experience of life. That doesn't mean that beliefs or ideas or thinking is a problem; the stubborn attitude of having to have things be a particular way, grasping on to our beliefs and thoughts, all these cause the problems. To put it simply, using your belief system this way creates a situation in which you choose to be blind instead of being able to see, to be deaf instead of being able to hear, to be dead rather than alive, asleep rather than awake.
All experiments that are related to the games when you have humans versus machines in the games - whether it's chess or "Go" or any other game - machines will prevail not because they can solve the game. Chess is mathematically unsolvable. But at the end of the day, the machine doesn't have to solve the game. The machine has to win the game. And to win the game, it just has to make fewer mistakes than humans. Which is not that difficult since humans are humans and vulnerable, and we don't have the same steady hand as the computer.
Beautiful buildings are more than scientific. They are true organisms, spiritually conceived; works of art, using the best technology by inspiration rather than the idiosyncrasies of mere taste or any averaging by the committee mind.
Related Authors
Ada Lovelace Quotes
English
Mathematician
Alfred North Whitehead Quotes
English
Mathematician
Benoit Mandelbrot Quotes
French
Mathematician
Carl Friedrich Gauss Quotes
German
Mathematician
Charles Babbage Quotes
English
Mathematician
David Hilbert Quotes
German
Mathematician
G. H. Hardy Quotes
British
Mathematician
George Polya Quotes
Hungarian
Mathematician
Hannah Fry Quotes
English
Mathematician
Henri Poincare Quotes
French
Mathematician
Isaac Barrow Quotes
English
Mathematician
Isaac Newton Quotes
English
Mathematician
Norbert Wiener Quotes
American
Mathematician
Pythagoras Quotes
Greek
Mathematician
Rene Descartes Quotes
French
Mathematician
Seymour Papert Quotes
American
Mathematician