Mathematical reasoning may be regarded rather schematically as the exercise of a combination of two facilities, which we may call intuition and ingenuity.
Alan TuringRead
Instruction tables will have to be made up by mathematicians with computing experience and perhaps a certain puzzle-solving ability. There need be no real danger of it ever becoming a drudge, for any processes that are quite mechanical may be turned over to the machine itself.
Interpretation
The quote emphasizes the necessity for mathematicians in creating structured instruction tables for machines, while also suggesting that tedious mechanical tasks can be automated.
Alan Turing highlights the critical role of mathematicians in developing the underlying frameworks necessary for computers to perform complex tasks. He expresses confidence that tedious and routine processes can be relegated to machines, thus freeing humans to engage in more creative and intellectually stimulating activities.
In practice
During a lecture on artificial intelligence, you could use the quote to illustrate the importance of foundational work in programming.
Mathematical reasoning may be regarded rather schematically as the exercise of a combination of two facilities, which we may call intuition and ingenuity.
I believe that at the end of the century the use of words and general educated opinion will have altered so much that one will be able to speak of machines thinking without expecting to be contradicted.
Machines take me by surprise with great frequency.
Sometimes it is the people no one imagines anything of who do the things that no one can imagine.
I am not very impressed with theological arguments whatever they may be used to support. Such arguments have often been found unsatisfactory in the past. In the time of Galileo it was argued that the texts, 'And the sun stood still... and hasted not to go down about a whole day' (Joshua x. 13) and 'He laid the foundations of the earth, that it should not move at any time' (Psalm cv. 5) were an adequate refutation of the Copernican theory.
It seems probable that once the machine thinking method had started, it would not take long to outstrip our feeble powers… They would be able to converse with each other to sharpen their wits. At some stage therefore, we should have to expect the machines to take control.
It pleases me no end to have had some small impact on people's lives because these phones do make people's lives better. They promote productivity, they make people more comfortable, they make them feel safe and all of those things.
The only reason we don't notice how absolutely interwoven our thinking processes have become with older technologies - pencils, paper, electric light, penicillin, fire - is that they're old, so we've ceased to notice their effects.
The best technology is when you are free to do what you want.
What we want to do is make a leapfrog product that is way smarter than any mobile device has ever been, and super-easy to use. This is what iPhone is. OK? So, we're going to reinvent the phone.
You need to invent things and you need to get them to people. You need to commercialize those inventions. Obviously, the best way we've come up with doing that is through companies.
When the Internet publicity began, I remember being struck by how much the world was not the way we thought it was, that there was infinite variation in how people viewed the world.
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