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You know more of a road by having travelled it then by all the conjectures and descriptions in the world.
--
"On The Conduct of Life" (1822)

 

William Hazlitt

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It is my job in life to travel all roads, so that some may take the road less travelled, and others the road more travelled, and all have a pleasant day.

 

Larry Wall

 

All descriptions of reality are limited expressions of the world of emptiness. Yet we attach to the descriptions and think they are reality. That is a mistake.

 

Shunryu Suzuki

 

Fools pretend to foretell what will be the issue of things, and are laughed at for their awkward conjectures. Wise men being aware of the uncertainty of human aflairs, and having observed how small a matter often produces a great change, are modest in their conjectures.

 

James Burgh

 

Erdős knows about more problems than anybody else, and he not only knows about various problems and conjectures, but he also knows the tastes of various mathematicians. So if I get a letter from him giving me three of his conjectures and two of his problems, then it's sure that these are exactly the kind of conjectures and problems I'm interested in, and these are exactly the kind of questions I may be able to answer.
Of course, this applies not only to me, but to everybody else. So Erdős has an amazing ability to match problems with people. Which is why so many mathematicians benefit from his presence. Every letter is likely to inspire you to do some work, or every phone call will give you some problems you are interested in.

 

Paul Erdos

 

One of my conjectures was solved in six months, a second in five years, a third in ten. But the basic conjecture, despite heroic efforts rewarded by two Fields Medals, remains a conjecture, now called MLC: the Mandelbrot Set is locally connected. The notion that these conjectures might have been reached by pure thought — with no picture — is simply inconceivable.

 

Benoit Mandelbrot