By studying the masters and not their pupils.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils.
I shall devote all my efforts to bring light into the immense obscurity that today reigns in Analysis. It so lacks any plan or system, that one is really astonished that there are so many people who devote themselves to it - and, still worse, it is absolutely devoid of any rigor.
There are very few theorems in advanced analysis which have been demonstrated in a logically tenable manner. Everywhere one finds this miserable way of concluding from the special to the general and it is extremely peculiar that such a procedure has led to so few of the so-called paradoxes.
The mathematicians have been very much absorbed with finding the general solution of algebraic equations, and several of them have tried to prove the impossibility of it. However, if I am not mistaken, they have not as yet succeeded. I therefore dare hope that the mathematicians will receive this me
With the exception of the geometrical series, there does not exist in all of mathematics a single infinite series the sum of which has been rigorously determined. In other words, the things which are the most important in mathematics are also those which have the least foundation.
Until now the theory of infinite series in general has been very badly grounded. One applies all the operations to infinite series as if they were finite; but is that permissible? I think not. Where is it demonstrated that one obtains the differential of an infinite series by taking the differential
When we cast our bread upon the waters we can presume that someone downstream whose face we will never know will benefit from our action, as we who are downstream from another will profit from the grantor's gift.
To be angry is very good. It burns out things and leaves nutrients in the soil. You should always be ready to be angry at injustice and cruelty.
I could fall in love with a sumo wrestler if he told stories and made me laugh. Obviously, it would be easier if someone was African-American and lived next door and went to the same church. Because then I wouldn't have to translate.
A certain person wondered why a big strong girl like me wouldn't keep a job which paid a normal salary. I took my time to lead her and to read her every page. Even minimal people can't survive on minimal wage. A certain person wondered why I wait all week for you. I didn't have the words to describe
Every December, I host a tree-trimming party. I serve chili with cornbread and lots of good wine. It's a wonderful party, and it shows how much adults like to play.
If growing up is painful for the Southern Black girl, being aware of her displacement is the rust on the razor that threatens the throat. It is an unnecessary insult.
Not everything you do is going to be a masterpiece, but you get art there and you try and sometimes it really happens. The other times youâ€™re just stretching your soul.
A bird doesn't sing because it has an answer, it sings because it has a song.
I've learned that you can tell a lot about a person by the way he/she handles these three things: a rainy day, lost luggage and tangled Christmas tree lights. I've learned that making a 'living' is not the same thing as 'making a life'. I've learned that whenever I decide something with an open hear
I thank God I'm myself and for the life I'm given to live and for friends and lovers and beloveds, and I thank God for knowing that all those people have already paid for me.
Don't get older just to get wiser. If you get older, you will be wiser, I believe that - if you dare. But get older because it's fun!
There is an amazing something in the American psyche which speaks about courage, and it says, 'Yes I can,' ... Yes, we will overcome it all because we have the spirit to do so.
I, with millions of other Americans, have the same dream Martin Luther King Jr. had; when I wake up I wish some of the things I dreamt would be true. I wish that little black and white boys and girls would hold hands without being shocked at their nearness to each other and say in a natural way, "we
Troubles are a blessing that force you to change, to believe.
When people see the laughing face, even if they're jealous of it, their burden is lightened. But do it first for yourself. Laugh and dare to try to love somebody, starting with yourself.
Thank you, always say thank you; it's the greatest gift you can give someone; because thank you is what you say to God.
That's what you want to do? Then nothing beats a trial but a failure. Give it everything you've got. I've told you many times, 'Cant do is like Dont Care.' Neither of them have a home.
I don't know if I continue, even today, always liking myself. But what I learned to do many years ago was to forgive myself. It is very important for every human being to forgive herself or himself because if you live, you will make mistakes- it is inevitable. But once you do and you see the mistake
I believe talent is like electricity. We don't understand electricity. We use it. You can plug into it and light up a lamp, keep a heart pump going, light a cathedral, or you can electrocute a person with it. Electricity will do all that. It makes no judgment. I think talent is like that. I believe
There were people who went to sleep last night, poor and rich and white and black, but they will never wake again. And those dead folks would give anything at all for just five minutes of this weather or ten minutes of plowing. So you watch yourself about complaining. What you're supposed to do when