If our 14 billion year cosmic history were scaled to 1 year, then 100,000 years of human history would be 4 minutes, and a 100 year life would be 0.2 seconds.
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A mathematician believes that describing the speed of Mercury with equations amounts to science.
A mathematician is an individual who calls himself a 'physicist' and does 'physics' and physical experiments with abstract concepts.
In every department of physical science there is only so much science, properly so-called, as there is mathematics.
Do not imagine that mathematics is hard and crabbed, and repulsive to common sense. It is merely the etherealization of common sense.
We have a closed circle of consistency here: the laws of physics produce complex systems, and these complex systems lead to consciousness, which then produces mathematics, which can then encode in a succinct and inspiring way the very underlying laws of physics that gave rise to it.
Mathematics is the cheapest science. Unlike physics or chemistry, it does not require any expensive equipment. All one needs for mathematics is a pencil and paper.
Plenty of mathematicians, Hardy knew, could follow a step-by-step discursus unflaggingly__et counted for nothing beside Ramanujan. Years later, he would contrive an informal scale of natural mathematical ability on which he assigned himself a 25 and Littlewood a 30. To David Hilbert, the most eminent mathematician of the day, he assigned an 80. To Ramanujan he gave 100.
When the time is ripe for certain things, these things appear in different places in the manner of violets coming to light in early spring.
Although personally, I think cyberspace means the end of our species.
This is the team. We're trying to go to the moon. If you can't put someone up, please don't put them down.
The study of mathematics is apt to commence in disappointment... We are told that by its aid the stars are weighed and the billions of molecules in a drop of water are counted. Yet, like the ghost of Hamlet's father, this great science eludes the efforts of our mental weapons to grasp it.
But in my opinion, all things in nature occur mathematically.
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.
In a Sense, we all are Time Travelers! We are Surviving each and every Active Time-Point in this Timeline.......
Please give it up. Fear it no less than the sensual passion, because it, too, may take up all your time and deprive you of your health, peace of mind and happiness in life.[Having himself spent a lifetime unsuccessfully trying to prove Euclid's postulate that parallel lines do not meet, Farkas discouraged his son János from any further attempt.]
I abandoned the assigned problems in standard calculus textbooks and followed my curiosity. Wherever I happened to be--a Vegas casino, Disneyland, surfing in Hawaii, or sweating on the elliptical in Boesel's Green Microgym--I asked myself, "Where is the calculus in this experience?
In my opinion, defining intelligence is much like defining beauty, and I don__ mean that it__ in the eye of the beholder. To illustrate, let__ say that you are the only beholder, and your word is final. Would you be able to choose the 1000 most beautiful women in the country? And if that sounds impossible, consider this: Say you__e now looking at your picks. Could you compare them to each other and say which one is more beautiful? For example, who is more beautiful_ Katie Holmes or Angelina Jolie? How about Angelina Jolie or Catherine Zeta-Jones? I think intelligence is like this. So many factors are involved that attempts to measure it are useless. Not that IQ tests are useless. Far from it. Good tests work: They measure a variety of mental abilities, and the best tests do it well. But they don__ measure intelligence itself.