I believe that mathematical

I believe that mathematical reality lies outside us, that our function is to discover or observe it, and that the theorems which we prove, and which we describe grandiloquently as our creations, are simply the notes of our observations. G. H. Hardy

We’ve shown again and

We’ve shown again and again, in every UN report on the status of women, that wherever women control their own bodies and have access to education, societies prosper. Men’s fortunes go up, children’s fortunes go up. This is not news – it’s been proven repeatedly. Anywhere those things are threatened, we have to defend them. … Read more

Too much knowledge could

Too much knowledge could be a bad thing. I was lead to the Szemerédi theorem by proving a result, about squares, that Euler had already proven, and I relied on an obvious fact, about arithmetical progressions, that was unproved at the time. But that lead me to try and prove that formerly unproved statement- about … Read more

Our institutions and conditions

Our institutions and conditions rest upon deep-seated ideas. To change those conditions and at the same time leave the underlying ideas and values intact means only a superficial transformation, one that cannot be permanent or bring real betterment. It is a change of form only, not of substance, as so tragically proven by Russia. Emma … Read more

The average mind is

The average mind is slow in grasping a truth, but when the most thoroughly organized, centralized institution, maintained at an excessive national expense, has proven a complete social failure, the dullest must begin to question its right to exist. The time is past when we can be content with our social fabric merely because it … Read more