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In the judgment of the most competent living mathematicians, Fräulein Noether was the most significant creative mathematical genius thus far produced since the higher education of women began.

 

Albert Einstein

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Since education is not a means to living, but is identical with the operation of living a life which is fruitful and inherently significant, the only ultimate value which can be set up is just the process of living itself. And this is not an end to which studies and activities are subordinate means; it is the whole of which they are ingredients.

 

John Dewey

 

It is pretty definitely settled, among men competent to form a judgment, that Aristotle was the best educated man that ever walked the surface of this earth. He is still, as he was in Dante's time, the "master of those that know." It is, therefore, not without reason that we look to him, not only as the best exponent of ancient education, but as one of the worthiest guides and examples in education generally. That we may not lose the advantage of his example, it will be well, before we consider his educational theories, to cast a glance at his life, the process of his development, and his work.

 

Aristotle

 

It is with Bernhard Riemann's work that we finally have the mathematical glasses to explore such worlds of the mind. And now my journey through the abstract world of 20th century mathematics has revealed that maths is the true language that the universe is written in. They key to understanding the world around us. Mathematicians aren't motivated by money and material gain, or even by practical applications of their work. For us it's the glory of solving one of the great unsolved problems that have outwitted previous generations of mathematicians. David Hilbert was right; it’s the unsolved problems of mathematics which make it a living subject. Which obsess each new generation of mathematicians. Despite all the things we've discovered over the last 7 millennia, there are still many things we don't understand. And its Hilbert’s call of "We must know, we will know" which drives mathematics.

 

Marcus du Sautoy

 

Generally speaking, the significance of the indirect results may very often be of more importance than the significance of direct ones. And since we are able to trace how the energy of love transforms itself into instincts, ideas, creative forces on different planes of life; into symbols of art, song, music, poetry; so can we easily imagine how the same energy may transform itself into a higher order of intuition, into a higher consciousness which will reveal to us a marvelous and mysterious world.
In all living nature (and perhaps also in that which we consider as dead) love is the motive force which drives the creative activity in the most diverse directions.

 

P. D. Ouspensky

 

The principal goal of education in the schools should be creating men and women who are capable of doing new things, not simply repeating what other generations have done; men and women who are creative, inventive and discoverers, who can be critical and verify, and not accept, everything they are offered.

 

Jean Piaget