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There are two types of mind . . . the mathematical, and what might be called the intuitive. the former arrives at its views slowly, but they are firm and rigid; the latter is endowed with greater flexibility and applies itself simultaneously to the diverse lovable parts of that which it loves.
-Blaise Pascal
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There Are Two Types Of Mind .

Blaise Pascal
There are two types of mind . . . the mathematical, and what might be called the intuitive. the former arrives at its views slowly, but they are firm and rigid; the latter is endowed with greater flexibility and applies itself simultaneously to the diverse lovable parts of that which it loves.
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Il y a deux sortes d'esprits, l'un ge ome trique, et l'autre que l'on peut appeler de finesse. le premier a des vues lentes, dures et inflexibles; mais le dernier a une souplesse de pense e. there are two kinds of mind, one mathematical, the other what one might call the intuitive. the first takes a slow, firm, inflexible view, but the latter has flexibility of thought.
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Just me, just me sweet marie, she loves just me (she also loves maurice mcghee). no she don't, she loves just me (she also loves louise dupree). no she don't, she loves just me (she also loves the willow tree). no she don't, she loves just me! (poor, poor fool, why can't you see she can love others and still love thee.)
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Tolerance is an attitude of reasoned patience towards evil and a forbearance that restrains us from showing anger or inflicting punishment. but what is more important than the definition is the field of its application. the important point here is this: tolerance applies only to persons but never to truth. intolerance applies only to truth but never to persons. tolerance applies to the erring; intolerance to the error.
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The difference between a man who is led by opinion or emotion and one who is led by reason. the former, whether he will or not, performs things of which he is entirely ignorant; the latter is subordinate to no one, and only does those things which he knows to be of primary importance in his life, and which on that account he desires the most; and therefore i call the former a slave, but the latter free.
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One might think this means that imaginary numbers are just a mathematical game having nothing to do with the real world. from the viewpoint of positivist philosophy, however, one cannot determine what is real. all one can do is find which mathematical models describe the universe we live in. it turns out that a mathematical model involving imaginary time predicts not only effects we have already observed but also effects we have not been able to measure yet nevertheless believe in for other reasons. so what is real and what is imaginary? is the distinction just in our minds?
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The mathematical is that evident aspect of things within which we are always already moving and according to which we experience them as things at all, and as such things. the mathematical is this fundamental position we take toward things by which we take up things as already given to us, and as they must and should be given. therefore, the mathematical is the fundamental presupposition of the knowledge of things.
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