Carl Gustav Jacob Jacobi quotes

  • The fact that logic cannot satisfy us awakens an almost insatiable hunger for the irrational.

  • I didn't mind studying. Obviously math and the physical science subjects interested me more than some of the more artistic subjects, but I think I was a pretty good student.

  • Pure mathematics is, in its way, the poetry of logical ideas.

  • God is subtle but he is not malicious.

  • Some of the greatest advances in mathematics have been due to the invention of symbols, which it afterwards became necessary to explain; from the minus sign proceeded the whole theory of negative quantities.

  • I am not really doing research, just trying to cultivate myself.

  • The question you raise, 'How can such a formulation lead to computations?' doesn't bother me in the least! Throughout my whole life as a mathematician, the possibility of making explicit, elegant computations has always come out by itself, as a byproduct of a thorough conceptual understanding of what was going on. Thus I never bothered about whether what would come out would be suitable for this or that, but just tried to understand - and it always turned out that understanding was all that mattered.

  • The pursuit of mathematics is a divine madness of the human spirit.

  • The science of pure mathematics, in its modern developments, may claim to be the most original creation of the human spirit.

  • The whole of mathematics consists in the organization of a series of aids to the imagination in the process of reasoning.