A Quote by Paul Auster

I had made an empirical discovery and it carried all the weight of a mathematical proof. — © Paul Auster
I had made an empirical discovery and it carried all the weight of a mathematical proof.
There was, I think, a feeling that the best science was that done in the simplest way. In experimental work, as in mathematics, there was "style" and a result obtained with simple equipment was more elegant than one obtained with complicated apparatus, just as a mathematical proof derived neatly was better than one involving laborious calculations. Rutherford's first disintegration experiment, and Chadwick's discovery of the neutron had a "style" that is different from that of experiments made with giant accelerators.
They carried all the emotional baggage of men who might die. Grief, terror, love, longing--these were intangibles, but the intangibles had their own mass and specific gravity, they had tangible weight. They carried shameful memories. They carried the common secret of cowardice.... Men killed, and died, because they were embarrassed not to.
It is generally believed that our science is empirical and that we draw our concepts and our mathematical constructs from the empirical data. If this were the whole truth, we should, when entering into a new field, introduce only such quantities as can directly be observed, and formulate natural laws only by means of these quantities.
I felt like I had proof that not all days are the same length, not all time has the same weight. Proof that there are worlds and worlds and worlds on top of worlds, if you want them to be there.
I don't think I could've carried the weight that Murrow carried.
... scientific research is compounded of ... empirical procedures, general speculative ideas, and mathematical or abstract reasoning.
What a mathematical proof actually does is show that certain conclusions, such as the irrationality of , follow from certain premises, such as the principle of mathematical induction. The validity of these premises is an entirely independent matter which can safely be left to philosophers.
A scientific discovery is also a religious discovery. There is no conflict between science and religion. Our knowledge of God is made larger with every discovery we make about the world.
... mathematical knowledge ... is, in fact, merely verbal knowledge. "3" means "2+1", and "4" means "3+1". Hence it follows (though the proof is long) that "4" means the same as "2+2". Thus mathematical knowledge ceases to be mysterious.
... the mind must be prepared for knowledge as one prepares a field for planting, and a discovery made too soon is no better than a discovery not made at all.
The assumption that individuals act objectively in accordance with purely mathematical dictates to maximize their gain or utility cannot be sustained by empirical observation.
I imagine that whenever the mind perceives a mathematical idea, it makes contact with Plato's world of mathematical concepts... When mathematicians communicate, this is made possible by each one having a direct route to truth, the consciousness of each being in a position to perceive mathematical truths directly, through the process of 'seeing'.
This was the most important discovery I had ever made in my life. It was a discovery which has irrevocably changed my whole life's direction. It immediately elevated me to the status of one of the world's leading anthropologists.
A mathematical proof must be perspicuous.
A proof is a proof. What kind of a proof? It's a proof. A proof is a proof. And when you have a good proof, it's because it's proven.
We need science. We need empirical evidence. We can't just use mathematical reasoning to deduce the nature of the world.
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