Livio Quotes & Sayings
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Top Livio Quotes

I'd made the arguably unreasonable decision to take a long walk alone on the PCT in order to save myself. When I believed that all the things I'd been before had prepared me for this journey. But nothing had or could. Each day on the trail was the only possible preparation for the one that followed. And sometimes even the day before didn't prepare me for what would happen next. — Cheryl Strayed

I' was the last word I was able to speak aloud. I wanted to pull the thread, unravel the scarf of my silence and start again from the beginning, but instead I said, 'I.' I know I'm not alone in this disease, you hear the old people in the street and some of them are moaning, "Ay yay yay," but some of them are clinging to their last word, 'I,' they're saying, because they're desperate, it's not a complaint it's a prayer, and then I lost 'I' and my silence was complete. — Jonathan Safran Foer

You know, Manetto, since I was a child I've always felt something else was among us. Invisible spirits that could guide or at least influence our actions. Perhaps they're the ones that stop us from changing, that make us repeat the same mistakes generation after generation. — Livio Gambarini

himself, then according to the sign he should be one of those he does not shave. On the other hand, — Mario Livio

The world is not threatened by evil people, but by those who allow evil to take place. — Albert Einstein

We are always imagining something, It is practically impossible to be awake without imagining something. Then why not imagine something at all times that will inspire the powers within us to do greater and greater things? — Christian D. Larson

Life is filled with doing terrible things and those who want to survive definitely have to do the worst of them. — Livio Gambarini

The two solutions of the equation for the Golden Ratio are:
x1 = (1+ Sqr5) / 2
x2 = (1 - Sqr5) / 2 — Mario Livio

Even today, I am in total awe of the following wondrous chain of ideas and interconnections. Guided throughout by principles of symmetry, Einstein first showed that acceleration and gravity are really two sides of the same coin. He then expanded the concept to demonstrate that gravity merely reflects the geometry of spacetime. The instruments he used to develop the theory were Riemann's non-Euclidean geometries-precisely the same geometries used by Felix Klein to show that geometry is in fact a manifestation of group theory (because every geometry is defined by its symmetries-the objects it leaves unchanged). Isn't this amazing? — Mario Livio

Our mathematics is the symbolic counterpart of the universe we perceive, and its power has been continuously enhanced by human exploration. — Mario Livio

I may juggle the composition, as the strength of a picture is in the composition. Or I may play with the light. But I never interfere with the subject. The subject has to fall into place on its own and, if I don't like it, I don't have to print it — George Rodger

The strength of the familiar electromagnetic force between two electrons, for example, is expressed in physics in terms of a constant known as the fine structure constant. The value of this constant, almost exactly 1/137, has puzzled many generations of physicists. A joke made about the famous English physicist Paul Dirac (1902-1984), one of the founders of quantum mechanics, says that upon arrival to heaven he was allowed to ask God one question. His question was: "Why 1/137? — Mario Livio

I grew up in the Midwest, quite far from any ocean or any beach, a million miles. I think for kids who grew up where I did, the idea of California, surfing and beach life was so exotic and glamorous. — John Malkovich

There is nothing uniquely evil in these destroyers or even in this moment. The destroyers are merely men enforcing the whims of our country, correctly interpreting its heritage and legacy. — Ta-Nehisi Coates

But Bill Clinton had the good taste to lie about his sexual peccadillos. He had the honor and the decency to want to cover it up. — Lynn Samuels

Even worse than not being noticed, he decided, was being noticed and found wanting. — Meljean Brook

Some of the greatest mathematical minds of all ages, from Pythagoras and Euclid in ancient Greece, through the medieval Italian mathematician Leonardo of Pisa and the Renaissance astronomer Johannes Kepler, to present-day scientific figures such as Oxford physicist Roger Penrose, have spent endless hours over this simple ratio and its properties. But the fascination with the Golden Ratio is not confined just to mathematicians. Biologists, artists, musicians, historians, architects, psychologists, and even mystics have pondered and debated the basis of its ubiquity and appeal. In fact, it is probably fair to say that the Golden Ratio has inspired thinkers of all disciplines like no other number in the history of mathematics. — Mario Livio