‘Should you just be an algebraist or a geometer?’ is like saying ‘Would you rather be deaf or blind?’
in Mathematics in the 20th Century
‘Should you just be an algebraist or a geometer?’ is like saying ‘Would you rather be deaf or blind?’
Learn from science that you must doubt the experts. As a matter of fact: Science is the belief in the ignorance of experts.
Regard the physical world as made of information, with energy and matter as incidentals.
At the dawn of the twentieth century, it was already clear that, chemically speaking, you and I are not much different from cans of soup. And yet we can do many complex and even fun things we do not usually see cans of soup doing.
I don’t like a business where the assets go up and down on elevators. I like them to be fixed, hung on poles, or up in space going around.
Artin very wisely identifies these matrix groups as more fundamental–and they are. They come up much more in mathematics. Linear algebra is the central subject of mathematics. You cannot learn too much linear algebra. That’s the basic principle for all of you going on in mathematics.
Linear algebra is presented as sort of stupid stuff, [but] you cannot learn too much linear algebra.
So, we’d better bridle our speculations, lest we run the risk that someone like LeCarre’s Smiley asks us one day: ‘What dreams did you cherish that had so little of the world in them?’
This pressure can be calculated by minimizing the Helmholtz function of the system. Details can be found in Fermi’s textbook on thermodynamics (Fermi 1956). But why does osmosis explain the behavior of a salted cucumber? This question is left to the reader as a parting gift.
Featured image by KTRYNA on Unsplash
To establish a place of work where engineers can feel the joy of technical innovation, be aware of their mission to society, and work to their heart’s content.
Hydrogen is a light, odorless gas which, given enough time, changes into people.
Nominated for quote of the week, which I encountered while reading Matt Ridley’s The Rational Optimist:
He who receives an idea from me, receives instruction himself without lessening mine; as he who lights his taper at mine, receives light without darkening me.
What we call the past is built on bits.
Incidentally, I note that ‘HARASS SARAH’ is a PALINdrome, as well as a popular left-wing sport.
The chessboard is the world; the pieces are the phenomena of the universe; the rules of the game are what we call the laws of Nature. The player on the other side is hidden from us. We know that his play is always fair, just, and patient. But also we know, to our cost, that he never overlooks a mistake or makes the smallest allowance for ignorance.
…[the reader] should not be discouraged, if on first reading of section 0, he finds that he does not have the prerequisites for reading the prerequisites.
This is essentially the mathematician’s equivalent of the adage “Fake it ’til you make it.”