Mathematical reasoning may be regarded rather schematically as the exercise of a combination of two facilities, which we may call intuition and ingenuity.
You don't change the world by hiding in the woods, wearing a hair shirt, or buying indulgences in the form of 'Save the Earth' bumper stickers. You do it by articulating a vision for the future and pursuing it with all the ingenuity humanity can muster.
Serious beliefs are awkward, especially religious ones. It's not that there's anything wrong with them, it's just that people's real, heart-felt, deeply held beliefs are, well, 'not easy to handle or deal with, requiring great skill, ingenuity, or care' - in a word, awkward.
Even if the whole earth and sea were turned to gold, they could hardly satisfy the avarice of a woman... You can more easily scratch a diamond with your fingernail than you can by any human ingenuity get a woman to consent to giving any of her savings.
Clearly the human story is one of acceleration. There has been a Moore curve in terms of the number of people alive on the planet, our technological ability, and our ability to understand ourselves. We have had this extraordinary, explosive growth in our ingenuity.
The American Dream means any person can achieve prosperity through hard work and ingenuity because there are no inherent barriers in our society.
You have to, in some ways, trust in the human spirit and in human ingenuity.
If you are going to have to play defense all the time, you cannot have the kind of ingenuity, assertiveness, independence, and intelligence which is what has made our country strong.
What feats of ingenuity have we not been forced to perform, at times, in order to meet our customers' wishes? Those only who have had charge of a large, modern kitchen can tell the tale.
In addition to encouraging failure, I would also encourage companies to broadly create a culture of innovation. That should mean more than just technology and invention; it should mean something millennials know well: Ingenuity.
