David van Dantzig famous quotes
Last updated: Sep 5, 2024
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How then shall mathematical concepts be judged? They shall not be judged. Mathematics is the supreme arbiter. From its decisions there is no appeal. We cannot change the rules of the game, we cannot ascertain whether the game is fair. We can only study the player at his game; not, however, with the detached attitude of a bystander, for we are watching our own minds at play.
-- David van Dantzig -
The attempt to apply rational arithmetic to a problem in geometry resulted in the first crisis in the history of mathematics. The two relatively simple problems -- the determination of the diagonal of a square and that of the circumference of a circle -- revealed the existence of new mathematical beings for which no place could be found within the rational domain.
-- David van Dantzig
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A liberal education is at the heart of a civil society, and at the heart of a liberal education is the act of teaching.
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Of course there's a lot of knowledge in universities: the freshmen bring a little in; the seniors don't take much away, so knowledge sort of accumulates.
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If you change your attitude you will change how you see the world and discover the potential it has simply through opening up your eyes to C Differently
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I don't like that man. I must get to know him better.
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I desire so to conduct the affairs of this administration that if at the end... I have lost every other friend on earth, I shall at least have one friend left, and that friend shall be down inside of me.
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Leaders are active instead of reactive, shaping ideas instead of responding to them. Leaders adopt a personal and active attitude toward goals. The influence a leader exerts in altering moods, evoking images and expectations, and in establishing specific desires and objectives determines the direction an organization takes. The net result of this influence is to change the way people think about what is desirable, possible, and necessary. In other words, leaders are visionaries and managers operate within those established visions.
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There are as many attitudes to cooking as there are people cooking, of course, but I do think that cooking guys tend - I am a guilty party here - to take, or get, undue credit for domestic virtue, when in truth cooking is the most painless and, in its ways, ostentatious of the domestic chores.
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If I feel like I've done the best that I can or conducted myself in the most constructive way that I can in a situation, then I feel peace.
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In nearly all the matters in which the Pan-German movement was wanting, the attitude of the Christian Social Party was correct and well-planned.
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Drawing is one of those things which sit on the uneasy bending line between instinct and instruction, where seeming perversity eventually trumps pleasure as the card players and the kibitzers interact and new thrills are sought.
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