Mathematical reasoning may be regarded rather schematically as the exercise of a combination of two facilities, which we may call intuition and ingenuity.
My parents had a strong impact on who I am today. My mother and dad both encouraged us to think about the long term - where you wanted to be - to think about education, to think about what is right and what is wrong, and to do things that will help you in the long run.
Some of us have been told what we want our whole lives. We've been told we should want to go out for sports or not. We should want a college education or a graduate degree or a particular career. We should want to date this person and not the other.
When I was a kid, school recess and physical education class were times for kids to run around and play games.
My education was paid for by the RAF Benevolent Fund, so a charity school, run like an orphanage, with uniforms and beatings. It was tough, but it got me to Cambridge - like being a chrysalis suddenly becoming a butterfly.
The Olympic Games must not be an end in itself, they must be a means of creating a vast programme of physical education and sports competitions for all young people.
My background was computer science and business school, so eventually I worked my way up where I was running product groups - development, testing, marketing, user education.
I think the world will just be better if AI is helping us. It will reduce the cost of goods, giving us good education, changing the way we run hospitals and the health-care system - there's just a long list of things.
Psychology is much bigger than just medicine, or fixing unhealthy things. It's about education, work, marriage - it's even about sports. What I want to do is see psychologists working to help people build strengths in all these domains.
In the long run, your human capital is your main base of competition. Your leading indicator of where you're going to be 20 years from now is how well you're doing in your education system.
My problem was my inability to spend much time at home. I thought my family was secure, so I went running around everyplace else. I guess I had more of an effect on other people's kids than I did my own.
There were country songs I connected to when there was pain, when I saw things my family were going through. It was my way of acknowledging I wasn't OK: music tapped on the door; I could work out these emotions by singing.
Easter is one of my favorite holidays with the kids. They get to run loose, and we always have our family and loved ones all around us!
We knew sports was important to us and our family, but there are priorities in life.Obviously, faith is foremost; how we did in school is important. If we didn't handle that business then there were no privileges.
My parents have always been supportive. I come from a very simple middle class family, where the upbringing is very traditional. So for them to give me the kind of freedom to exercise my choices is very fortunate for me.
New Balance is a huge name in sport, with strong values and that was very important to me and my family. Right from the first meeting, I was really impressed. It was clear that working with the team was more than a sponsorship, it is a real partnership, one where we are all very much aligned in what we want to achieve.
I had two family members involved in World War I: two great-uncles. One of them is on a memorial in France. And the other was a trench runner who survived the war. The average life span of a trench runner was 36 hours, but he survived the whole war.
Eyebrows are really important because they structure the face. In school it was funny because I was always the one walking around with tweezers plucking my girlfriends' eyebrows. I was really good; eyebrow tweezing runs in my family - my mother used to do mine, and I picked it up.
I was born in a poor family, a lower middle class family. My father was a clerk in the forest department. I was very bad at studies. I was not very good at sports, also.
Smartness runs in my family. When I went to school I was so smart my teacher was in my class for five years.
If you try and work out at 4:30 in the afternoon, how many people are going to chip away at that time? Your boss, your job, your work, your family, your other obligations that you might have. At 4:30 in the morning, all those people are asleep, so you can do whatever you want.
Street Runner' is a personal song about the sacrifices I made to pursue this career that I have now. All while never forgetting about the family and loved ones I'm doing it for.
There is nothing in this world that I love more than my family. To be able to share the joy of running with them at the Runner's World Half Marathon and Running Festival where we can all participate together is as close as you can get to a perfect weekend.
The baby boomers are getting older, and will stay older for longer. And they will run right into the dementia firing range. How will a society cope? Especially a society that can't so readily rely on those stable family relationships that traditionally provided the backbone of care?
I was 19 when my father died from a heart attack. He was a 55-year-old college professor and had led what was by all appearances a risk-free life. But he was overweight, and heart disease runs in our family.