This attitude [the abstract ...

This attitude [the abstract method in mathematics] can be encapsulated in the following slogan: a mathematical object is what it does.
This attitude [the abstract method in mathematics] can be encapsulated in the following slogan: a mathematical object is what it does.
 Timothy Gowers

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Being self-made is a state of mind, and once you put that mentality to work, your success will come.
 Dave East
A lot of people change for good. Some people just fall off. Just trying to progress in anything, no matter what you're doing, I feel like any progression you make... some people aren't gonna be around you that were around you.
 Dave East
What a distressing contrast there is between the radiant intelligence of the child and the feeble mentality of the average adult.
Don't settle in the land of barely enough. That is where you are, it is not who you are. That's your location, it's not your identity. No matter what it looks like, have an abundant mentality.
Everything in your life, every experience, every relationship is a mirror of the mental pattern that is going on inside of you.

Quotes from the same author

A typical mathematician does not actively try to be useful. Individual mathematicians are motivated primarily by a subtle mixture of ambition and intellectual curiosity, and not by a wish to benefit society, nevertheless, mathematics as a whole does benefit society.
 Timothy Gowers