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Simone Weil

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My purpose here is to denounce an idea which seems to be dangerous and false. ... Revolutionary trade unionists and orthodox communists are at one in considering everything that is purely theoretical as bourgeois. ... The culture of a socialist society would be a synthesis of theory and practice; but to synthesize is not the same as to confuse together; it is only contraries that can be synthesized. ... Marx’s principal glory is to have rescued the study of societies not only from Utopianism but also and at the same time from empiricism. ... Humanity cannot progress by importing into theoretical study the processes of blind routine and haphazard experiment by which production has so long been dominated. ... The true relation between theory and application only appears when theoretical research has been purged of all empiricism.
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“The teaching of mathematics,” p. 71-72

 
Simone Weil

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I have long believed that an experimentalist should not be unduely inhibited by theoretical untidyness. If he insists in having every last theoretical T crossed before he starts his research the chances are that he will never do a significant experiment. And the more significant and fundamental the experiment the more theoretical uncertainty may be tolerated. By contrast, the more important and difficult the experiment the more that experimental care is warranted. There is no point in attempting a half-hearted experiment with an inadequate apparatus.

 
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In science, conjecture drives both experiment and theory for it is only by forming conjectures (hypotheses) that we can make the direction of our experiments and theories informed. If such and such is true, then I should be able to do this experiment and look for this particular result or I should be able to find this theoretical formulation. Conversely, experiment and theory drive conjecture. One makes a startling observation or has a sudden insight and begins to speculate on its significance and implications and to draw possible conclusions (conjecture).

 
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From the preceding examples, we may get some idea of the change in perspective that may occur in our reading and interpretation of the philosophical works of antiquity when we consider them from the point of view of the practice of spiritual exercises. Philosophy then appears in its original aspect: not as a theoretical construct, but as a method for training people to live and to look at the world in a new way. It is an attempt to transform mankind. Contemporary historians of philosophy are today scarcely inclined to pay attention to this aspect, although it is an essential one. The reason for this is that, in conformity with a tradition inherited from the Middle Ages … they consider philosophy to be purely abstract-theoretical activity.

 
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One of the principal objects of theoretical research is to find the point of view from which the subject appears in the greatest simplicity.

 
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