Mathematical Quotes
Quotes tagged as "mathematical"
Showing 114 of 14
“A mathematical formula for happiness:Reality divided by Expectations.There were two ways to be happy:improve your reality or lower your expectations.”
― Nineteen Minutes
― Nineteen Minutes
“The ‘Muse’ is not an artistic mystery, but a mathematical equation. The gift are those ideas you think of as you drift to sleep. The giver is that one you think of when you first awake.”
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“The formulation of the problem is often more essential than its solution, which may be merely a matter of mathematical or experimental skill.”
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“We are mathematical equations where your life is the sum of all choices you've made until now. The good news is you can change the equation so that you start making a difference in your life.”
― Life, the Truth, and Being Free
― Life, the Truth, and Being Free
“The apex of mathematical achievement occurs when two or more fields which were thought to be entirely unrelated turn out to be closely intertwined. Mathematicians have never decided whether they should feel excited or upset by such events.”
― Indiscrete Thoughts
― Indiscrete Thoughts
“But that would mean it was originally a sideways number eight. That makes no sense at all. Unless..." She paused as understanding dawned. "You think it was the symbol for infinity?"
"Yes, but not the usual one. A special variant. Do you see how one line doesn't fully connect in the middle? That's Euler's infinity symbol. Absolutus infinitus."
"How is it different from the usual one?"
"Back in the eighteenth century, there were certain mathematical calculations no one could perform because they involved series of infinite numbers. The problem with infinity, of course, is that you can't come up with a final answer when the numbers keep increasing forever. But a mathematician named Leonhard Euler found a way to treat infinity as if it were a finite number and that allowed him to do things in mathematical analysis that had never been done before." Tom inclined his head toward the date stone. "My guess is whoever chiseled that symbol was a mathematician or scientist."
"If it were my date stone," Cassandra said dryly, "I'd prefer the entwined hearts. At least I would understand what it means."
"No, this is much better than hearts," Tom exclaimed, his expression more earnest than any she'd seen from him before. "Linking their names with Euler's infinity symbol means..." He paused, considering how best to explain it. "The two of them formed a complete unit... a togetherness... that contained infinity. Their marriage had a beginning and end, but every day of it was filled with forever. It's a beautiful concept." He paused before adding awkwardly, "Mathematically speaking.”
― Chasing Cassandra
"Yes, but not the usual one. A special variant. Do you see how one line doesn't fully connect in the middle? That's Euler's infinity symbol. Absolutus infinitus."
"How is it different from the usual one?"
"Back in the eighteenth century, there were certain mathematical calculations no one could perform because they involved series of infinite numbers. The problem with infinity, of course, is that you can't come up with a final answer when the numbers keep increasing forever. But a mathematician named Leonhard Euler found a way to treat infinity as if it were a finite number and that allowed him to do things in mathematical analysis that had never been done before." Tom inclined his head toward the date stone. "My guess is whoever chiseled that symbol was a mathematician or scientist."
"If it were my date stone," Cassandra said dryly, "I'd prefer the entwined hearts. At least I would understand what it means."
"No, this is much better than hearts," Tom exclaimed, his expression more earnest than any she'd seen from him before. "Linking their names with Euler's infinity symbol means..." He paused, considering how best to explain it. "The two of them formed a complete unit... a togetherness... that contained infinity. Their marriage had a beginning and end, but every day of it was filled with forever. It's a beautiful concept." He paused before adding awkwardly, "Mathematically speaking.”
― Chasing Cassandra
“The elegance of a mathematical theorem is directly proportional to the number of independent ideas one can see in the theorem and inversely proportional to the effort it takes to see them.”
― Mathematical Discovery on Understanding, Learning, and Teaching Problem Solving, Volume I
― Mathematical Discovery on Understanding, Learning, and Teaching Problem Solving, Volume I
“The importance of C.F. Gauss for the development of modern physical theory and especially for the mathematical fundament of the theory of relativity is overwhelming indeed; also his achievement of the system of absolute measurement in the field of electromagnetism. In my opinion it is impossible to achieve a coherent objective picture of the world on the basis of concepts which are taken more or less from inner psychological experience.”
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“Yes," I continued, "I discovered this model recently and her style never fails to be mathematically perfect. She seems to come by it naturally. As if she were born resonant. I notice Japanese models tend to do this. Like I said, they seem to have resonance somewhere deep in their culture. But Yuri Nakagawa, she's the best I've ever seen. The best model, with the most powerful resonance. I need her to probe deeper
into this profound mathematical instinct, which I call resonance.”
― Trueman Bradley: The Next Great Detective
into this profound mathematical instinct, which I call resonance.”
― Trueman Bradley: The Next Great Detective
“Beaming into the thick of a tree without becoming a lifelong tree hugger was a tricky business. A precision job. Scrooby’s job at the Time Saving Agency was a tough one. Billions of lives depended on him not screwing up. Literally billions and billions. Once, he’d screwed up in only a very small way and people wore those little yellow smiley faces on tshirts for decades afterwards – and that was just a small screw up. He sighed. Here he sat, in the branches of an apple tree in an apple tree orchard – and without a single apple in sight. Below him, Isaac was waiting to get bonked on the noggin with an apple so that he could fulfill history by toddling off to invent gravity and shape scientific and mathematical principles for generations to come. Only one problem – no apples.”
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“In the life of mathematics two plus two makes four; but in the mathematics of life two and two can make five or even three sometimes”
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“Occam’s razor uses the least energy; it is the most economic solution. Nature always operates this way, and it does so because it is mathematical. If it were not mathematical, it could never do what it does and would degenerate into instability and chaos.”
― Extra Scientiam Nulla Salus: How Science Undermines Reason
― Extra Scientiam Nulla Salus: How Science Undermines Reason
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