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Felix Klein Quotes: Thus, in a sense, mathematics has been most advanced by those who distinguished themselves by intuition rather than by rigorous proofs.
         

Thus, in a sense, mathematics has been most advanced by those who distinguished themselves by intuition rather than by rigorous proofs.


Felix Klein
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Other quotes of Felix Klein


The greatest mathematicians, as Archimedes, Newton, and Gauss, always united theory and applications in equal measure.

The greatest mathematicians, as Archimedes, Newton, and Gauss, always united theory and applications in equal measure.



Everyone knows what a curve is, until he has studied enough mathematics to become confused through the countless number of possible exceptions.

Everyone knows what a curve is, until he has studied enough mathematics to become confused through the countless number of possible exceptions.



Regarding the fundamental investigations of mathematics, there is no final ending ... no first beginning.

Regarding the fundamental investigations of mathematics, there is no final ending ... no first beginning.



Mathematics in general is fundamentally the science of self-evident things.

Mathematics in general is fundamentally the science of self-evident things.



It is well known that the central problem of the whole of modern mathematics is the study of transcendental functions defined by differential equations.

It is well known that the central problem of the whole of modern mathematics is the study of transcendental functions defined by differential equations.



The developing science departs at the same time more and more from its original scope and purpose and threatens to sacrifice its earlier unity and split into diverse branches.

The developing science departs at the same time more and more from its original scope and purpose and threatens to sacrifice its earlier unity and split into diverse branches.



Among mathematicians in general, three main categories may be distinguished; and perhaps the names logicians, formalists, and intuitionists may serve to characterize them.

Among mathematicians in general, three main categories may be distinguished; and perhaps the names logicians, formalists, and intuitionists may serve to characterize them.



Projective geometry has opened up for us with the greatest facility new territories in our science, and has rightly been called the royal road to our particular field of knowledge.

Projective geometry has opened up for us with the greatest facility new territories in our science, and has rightly been called the royal road to our particular field of knowledge.





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If a literary man puts together two words about music, one of them will be wrong.

If a literary man puts together two words about music, one of them will be wrong.



The nice thing about really intelligent people is that when you talk with them they make you feel intelligent too.

The nice thing about really intelligent people is that when you talk with them they make you feel intelligent too.



Start with local press first. Start with people you know. Don't pitch every journalist.

Start with local press first. Start with people you know. Don't pitch every journalist.



The world is a projection of our thoughts - the thoughts we believe.

The world is a projection of our thoughts - the thoughts we believe.



The Word of God is a lamp by night, a light by day, and a delight at all times.

The Word of God is a lamp by night, a light by day, and a delight at all times.



Reciprocal accountability, or criticism [is] the only known antidote to error.

Reciprocal accountability, or criticism [is] the only known antidote to error.



Never let an inventor run a company. You can never get him to stop tinkering and bring something to market

Never let an inventor run a company. You can never get him to stop tinkering and bring something to market



I've been going around the world; I've been to China, I sang at the General Assembly, the Security Council.

I've been going around the world; I've been to China, I sang at the General Assembly, the Security Council.



Prohibition may be a disputed theory, but none can say that it doesn't hold water.

Prohibition may be a disputed theory, but none can say that it doesn't hold water.



Stop hating on yourself for not being perfect. If God wanted perfection, He would have made you an angel.

Stop hating on yourself for not being perfect. If God wanted perfection, He would have made you an angel.




Quote Description


This page presents the quote "Thus, in a sense, mathematics has been most advanced by those who distinguished themselves by intuition rather than by rigorous proofs.". Author of this quote is Felix Klein. This quote is about intuition, sensual, math, distinguished, mathematics,.