A Quote by Oliver Heaviside
Mathematics is of two kinds, Rigorous and Physical. The former is Narrow: the latter Bold and Broad. To have to stop to formulate rigorous demonstrations would put a stop to most physico-mathematical inquiries. Am I to refuse to eat because I do not fully understand the mechanism of digestion?
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I think there are different ways of being rigorous, and I am asking people to be as rigorous in their pleasure as in their criticism.
Shall I refuse my dinner because I do not fully understand the process of digestion?
Mathematics has two faces: it is the rigorous science of Euclid, but it is also something else. Mathematics presented in the Euclidean way appears as a systematic, deductive science; but mathematics in the making appears as an experimental, inductive science. Both aspects are as old as the science of mathematics itself.
If you do extreme exercise to lose weight, you'll usually soon stop because you get injured or because it's simply too rigorous to do for a lifetime.
Make bold moves toward your dreams each day, refuse to stop and nothing can stop you.
Criticized for using formal mathematical manipulations, without understanding how they worked: Should I refuse a good dinner simply because I do not understand the process of digestion?
As a kid, I trained to be an Olympic gymnast. My schedule was rigorous. Four hours a day, Monday through Saturday, I was at the gym. My body was like a boy's, narrow hips, flat-chested, wide shoulders. When I was 12, I badly injured my ankle and was forced to stop training immediately.
Be rigorous about your HR decisions. There is a difference between rigorous and ruthless.
If you ask ... the man in the street ... the human significance of mathematics, the answer of the world will be, that mathematics has given mankind a metrical and computatory art essential to the effective conduct of daily life, that mathematics admits of countless applications in engineering and the natural sciences, and finally that mathematics is a most excellent instrumentality for giving mental discipline... [A mathematician will add] that mathematics is the exact science, the science of exact thought or of rigorous thinking.
Thus, in a sense, mathematics has been most advanced by those who distinguished themselves by intuition rather than by rigorous proofs.
Mathematics is not arithmetic. Though mathematics may have arisen from the practices of counting and measuring it really deals with logical reasoning in which theorems-general and specific statements-can be deduced from the starting assumptions. It is, perhaps, the purest and most rigorous of intellectual activities, and is often thought of as queen of the sciences.
That is, you can have nothingness, absolute nothingness for maybe a tiny fraction of a second, if a second can be defined in that arena, but then it falls apart into a something and an anti-something. And that something is then what we call the universe. But can we really understand that or put rigorous mathematics or testable experiments against that? Not yet. So one of the big holy grail of physics is to understand why there is something rather than nothing.
I am a pig! I love to eat! i will eat anything! If you put it front of me, I will put it in my mouth, even if it doesn't taste good! And I can't stop eating until all the food is gone. It's probably one of the contributing factors as to why I became a drag queen. I can eat whatever I want, because I can just strap myself into a corset!
Philosophy as science, as serious, rigorous, indeed apodictically rigorous science -- the dream is over.
Please stop worrying about how much you can do! STOP judging yourself and others on physical abilities and prowess, stop believing MORE is better, stop the madness!
Poetry is a form of mathematics, a highly rigorous relationship with words.
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