A Quote by Stephen Cole Kleene
I read one or two other books which gave me a background in mathematics other than logic.
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Several months later, and I have finally read one of the three (books), even though I wanted to read all three of them immediately. What happened in between? Other books, is what happened. Other books, other moods, other obligations, other appetites, other reading journeys.
The principles of logic and mathematics are true simply because we never allow them to be anything else. And the reason for this is that we cannot abandon them without contradicting ourselves, without sinning against the rules which govern the use of language, and so making our utterances self-stultifying. In other words, the truths of logic and mathematics are analytic propositions or tautologies.
...mathematics is distinguished from all other sciences except only ethics, in standing in no need of ethics. Every other science, even logic, especially in its early stages, is in danger of evaporating into airy nothingness, degenerating, as the Germans say, into an arachnoid film, spun from the stuff that dreams are made of. There is no such danger for pure mathematics; for that is precisely what mathematics ought to be.
Because I never attended elementary schools of any kind, I missed most of the books that were popular with other kids my age. There was an exception, however, which was 'Harry Potter.' My grandmother gave me the first book when I was about 13, and I read it, then read all the rest.
Poincaré was a vigorous opponent of the theory that all mathematics can be rewritten in terms of the most elementary notions of classical logic; something more than logic, he believed, makes mathematics what it is.
We know that mathematicians care no more for logic than logicians for mathematics. The two eyes of science are mathematics and logic; the mathematical set puts out the logical eye, the logical set puts out the mathematical eye; each believing that it sees better with one eye than with two. Note that De Morgan, himself, only had sight with only one eye.
All the other editors at DC never gave me a moment's time. They would take the thing and give me a check and say, 'I'll see you in two weeks.' They never gave any kind of encouragement or information. They were very competitive with each other. They didn't want to teach an artist and then lose him to some other editor.
Mathematics and logic have been proved to be one; a fact from which it seems to follow that mathematics may successfully deal with non-quantitative problems in a much broader sense than was suspected to be possible.
...Generally people don't recomend this type of book at all. It is far too interesting. Perhaps you have had other books recomended to you. Perhaps, even, you have been given books by friends, parents, teachers, then told that these books are the type you have to read. Those books are invariably described as "important"- which in my experience, pretty much means that they're boring. (words like meaningful and thoughtful are other good clues.)
I've read a lot of books on the laws of attraction, and in my home I have a big book on Muhammad Ali, which I've read, because he is like a hero of mine, but other than that, no, I'm not a big reader.
I've read a lot of books on the laws of attraction, and in my home, I have a big book on Muhammad Ali, which I've read because he is, like, a hero of mine, but other than that, no, I'm not a big reader.
Yeah, my son likes a lot of guitar bands. He gave me something the other day which was really good. He'll burn a CD for me full of things that he has, so he's a pretty good call if I want to check some of that stuff out... The other two aren't quite into that yet.
There are areas of philosophy that are important, but I think of them as being subsumed by other fields. In the case of descriptive philosophy, you have literature or logic, which, in my view, is really mathematics.
I'm such a fangirl when it comes to other writers. I read 250 books a year, and I'm always talking up books by other authors.
I love librarians more than any other people in the world. When I was an immigrant kid, they’ve made me feel like a human being and they gave me books that taught me English.
The thought of these vast stacks of books would drive him mad: the more he read, the less he seemed to know — the greater the number of the books he read, the greater the immense uncountable number of those which he could never read would seem to be…. The thought that other books were waiting for him tore at his heart forever.
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