@mike808 I can’t even begin to figure out what point you’re trying to make even if your pics were accurate. Regardless how big an asshole our current president is what sort of asshole even goes to an inauguration in the first place
@TheFLP I ended up taking calculus without ever having trig. Boy did that make that class hard. Similar issue with accounting and finance. I took finance first and had to teach myself some accounting to pass that class. Oops. Makes it harder… but then again math can help you figure out interesting things - like it would take about 35 years to walk to the moon presuming you could build a staircase to get there (stolen from the internet - I did not check their math).
@blaineg It’s like teaching yourself trig without a book or tutor while taking calculus. The other stupid thing I did was take physics while taking calculus. That would have been a heck of a lot easier if I had been done with calculus first. I also took anatomy and physiology as a first semester freshman - I had placed out of bio 101 - had mostly cut throat juniors in there. In there I learned how to memorize, a skill I hadn’t had to use prior to that. Rough freshman year. Calc, physics, bio, english (english was easy but time consuming).
In school I generally managed to get my prerequisites in the proper order, and for six years or so my “career” followed logically from what I studied in college.
And then I found myself working in an accounting firm. Nothing in my educational or work background was even remotely related to accounting, so I’ve been backing my way into it for 18+ years. I still can’t shake the feeling that if I took an accounting class today I’d come to an ignominious end.
(Meanwhile, I just managed to spell ignominious correctly on the first try, which surely screams “liberal arts degree.” Probably haven’t used the word since high school.)
@TheFLP I did the math. Got lost at higher order geometries, set theory, and matrix calculus. Then did some accounting math (cost-basis manufacturing, projected income escrows to realized sales for subscription income on crazy commission and discount schedules). Now I do crypto work and explaining the difference between authorization and authentication duality of passwords (or keys), with a bit of quantitative security with sone risk & control modeling on the side.
Explained to my son (in pre-calc now) the notion of doing all that ‘trig stuff’ in polar coordinates and he about lost it when he figured out it made everything just simple rational numbers (a bunch of easy fractions) for sin/cos/tan/cot/sec/cosec. He sure was mad at having to do it ‘the hard way’ for class. I chuckled.
@MagnaVis And then it became a challenge that said “…and you thought doing those high hurdles in PE was gonna be hard. Watch THIS!” There is a poetry to math. Unfortunately, once it went beyond iambic pentameter its beauty became quite elusive to me. Solving for X is easy.
Well, the 2 is familiar and so are the letters, but none of them spell “cat.” Someone told be there was a cat involved here somehow! Where’s the darned cat?
If I could’ve gotten my arms around the maths, I would’ve loved to have gone into the field of Physics. It’s magical. It actually is poetry in motion.
@LaVikinga@MagnaVis the little ‘i’ at the front is for ‘imaginary’. So imagine a cat. And there it is. Ta Da!
If it isn’t, try again. I’m a bit fuzzy on the details, but I think it’s probably a random thing.
Euclid alone has looked on Beauty bare.
Let all who prate of Beauty hold their peace,
And lay them prone upon the earth and cease
To ponder on themselves, the while they stare
At nothing, intricately drawn nowhere
In shapes of shifting lineage; let geese
Gabble and hiss, but heroes seek release
From dusty bondage into luminous air.
O blinding hour, O holy, terrible day,
When first the shaft into his vision shone
Of light anatomized! Euclid alone
Has looked on Beauty bare. Fortunate they
Who, though once only and then but far away,
Have heard her massive sandal set on stone.
(By Edna St Vincent Millay)
The poet is overdoing the argument, of course, to make a point.
By her standard, anyone who has gasped on wonder at a mathematical concept has seen this beauty.
And anyone who has, in mathematical naivete, appreciated perceptual beauty (according to varying tastes), has appreciated the incendescent perfection of some mathematical relationships.
And I would have picked Gödel, not Euclid;
but that choice would have been tough for the poet (1892-1950), who was probably never aware of his work. The poem was published in 1922. Gödel’s great achievements appeared in the 1930’s.
(Some think Gödel’s work was the most important conceptual work of the previous century; in his later years Einstein is said to have not retired because he so valued his daily long conversations with with Gödel.)
Mathematics is the most beautiful universe I have ever been near.
And I, or anyone who has valued and practiced it, or tried to, knows so little of it, and so little of what it is or can be, even to such tiny creatures as we are.
Mathematicians often tend to think that even physicists and the like have no idea what math really is; and these mathematicians have a point.
But do mathematicians know what math is?
I think not; or perhaps they know only the tiniest fragment of a single strand.
I expect we will someday know uncountable choices of alternative, rigorous, and valid logics that are now so far beyond us.
And even then, we will know only the tiniest portion of a single thread of mathematics.
It probably all began (as a human practice) with counting. Many animals can count, to a degree, in a rudamentary fashion.
Geometry probably began with land boundaries and measurements.
Where does it begin in our universe? It feels transcendental and eternal and beyond mortal concerns.
Let a mind make an abstract distinction. And then define it and refine it unto a state of being rigorous.
And then make another. And …
And try to find a valid relationship between these distinctions.
And keep going.
And one is walking on the path.
I do not know what I may appear to the world, but to myself I seem to have been only like a boy playing on the seashore, and diverting myself in now and then finding a smoother pebble or a prettier shell than ordinary, whilst the great ocean of truth lay all undiscovered before me.
@f00l Nuts are good. And if you go with the Japanese theory of food shape being good for that part of the body (can’t recall the name for it) re:… walnut looks like brain so it’s good for the brain… then that’s a good thing!