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And while the law [of competition] may be sometimes hard for the individual, it is best for the race, because it ensures the survival of the fittest in every department. Andrew Carnegie		Wednesday Apr 15, 2026
		Quotes: 53419 Authors: 9969

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Can the difficulty of an exam be measured by how many bits of information a student would need to pass it? This may not be so absurd in the encyclopedic subjects but in mathematics it doesn't make any sense since things follow from each other and, in principle, whoever knows the bases knows everything. All of the results of a mathematical theorem are in the axioms of mathematics in embryonic form, aren't they?

Quote Author: Alfréd Rényi

	Alfréd Rényi
	(1921-1970) A Diary on Information Theory, p31 - Hungarian, founder Mathematical Institute of the Hungarian Academy of Sciences.

Other Alfréd Rényi Quotes

Can the difficulty of an exam be measured by how many bits of information a student would need to pass it? This may not be so absurd in the encyclopedic subjects but in mathematics it doesn't make any sense since things follow from each other and, in principle, whoever knows the bases knows everything. All of the results of a mathematical theorem are in the axioms of mathematics in embryonic form, aren't they?

If I feel unhappy, I do mathematics to become happy. If I am happy, I do mathematics to keep happy.