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Percival Lowell

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Formulae are the anaesthetics of thought, not its stimulants and to make any one think is far better worth while than cramming him with ill-considered, and therefore indigestible, learning.
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Preface

 
Percival Lowell

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Fundamental ideas play the most essential role in forming a physical theory. Books on physics are full of complicated mathematical formulae. But thought and ideas, not formulae, are the beginning of every physical theory. The ideas must later take the mathematical form of a quantitative theory, to make possible the comparison with experiment.

 
Albert Einstein
 

I presume that to the uninitiated the formulae will appear cold and cheerless; but let it be remembered that, like other mathematical formulae, they find their origin in the divine source of all geometry. Whether I shall have the satisfaction of taking part in their exposition, or whether that will remain for some more profound expositor, will be seen in the future.

 
Benjamin Peirce
 

To avoid this error, the error of assuming that that to be widely read and to be well read are the same thing, we must consider a certain distinction in types of learning. … In the history of education, men have often distinguished between learning by instruction and learning by discovery. … Discovery stands to instruction as learning without a teacher stands to learning through the help of one. In both cases the activity of learning goes on in the one who learns. It would be a mistake to suppose that discovery is active learning, and instruction passive. There is no inactive learning, just as there is no inactive reading. This is so true, in fact, that a better way to make the distinction clear is to call instruction “aided discovery.”

 
Mortimer Adler
 

Real learning gets to the heart of what it means to be human. Through learning we re-create ourselves. Through learning we become able to do something we never were able to do. Through learning we reperceive the world and our relationship to it. Through learning we extend our capacity to create, to be part of the generative process of life. There is within each of us a deep hunger for this type of learning.

 
Peter Senge
 

Clever men will recognize and tolerate nothing but cleverness; every authority rouses their ridicule, every superstition amuses them, every convention moves them to contradiction. Only force finds favor in their eyes, and they have no toleration for anything that is not purely natural and spontaneous. And yet ten clever men are not worth one man of talent, nor ten men of talent worth one man of genius. And in the individual, feeling is more than cleverness, reason is worth as much as feeling, and conscience has it over reason. If, then, the clever man is not mockable, he may at least be neither loved, nor considered, nor esteemed. He may make himself feared, it is true, and force others to respect his independence; but this negative advantage, which is the result of a negative superiority, brings no happiness with it. Cleverness is serviceable for everything, sufficient for nothing.

 
Henri-Frederic Amiel
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