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“When the boy begins to understand that the visible point is preceded by an invisible point, that the shortest distance between two points is conceived as a straight line before it is ever drawn with pencil and paper...the fountain of all thought has been opened to him...the philosopher can reveal him nothing new, as a geometrician he has discovered the basis of all thought.”

“If it is possible to have a linear unit that depends on no other quantity, it would seem natural to prefer it. Moreover, a mensural unit taken from the earth itself offers another advantage, that of being perfectly analogous to all the real measurements that in ordinary usage are also made upon the earth, such as the distance between two places or the area of some tract, for example. It is far more natural in practice to refer geographical distances to a quadrant of a great circle than to the length of a pendulum.”

“My best advice for mental training is simply to create good habits, in order to build a sense of security and calm around you. Also, you could try to distance yourself emotionally from the whole situation. In my case, I just look at it objectively: We are two guys going inside a cage to work. That's it. Try to de-escalate the pressure. Take a couple of deep breaths. Don't hype things up. And stay positive, even if you're fighting for your life.”

“The [travel] writer, looking back at the journey from a distance of a year or two (or three), is a different character from the hapless character who undertook the trip: wise after the event, with the leisure to tease out meanings from the experience that the distracted traveler never had, and often impatient with his alter ego's blinkered and unsatisfactory version of things.”

“Distance changes utterly when you take the world on foot. A mile becomes a long way, two miles literally considerable, ten miles whopping, fifty miles at the very limits of conception. The world, you realize, is enormous in a way that only you and a small community of fellow hikers know. Planetary scale is your little secret.”