People gifted in mathematics tend to be (very much a generalization) very judgemental, love symmetry, almost obsessively orderly, emotionally distant, become easily obsessed with problems, stoic in their self image, etc... — SkyLeach
- MeOne of my favorite examples of the difference between linear calculus and set theory elegance is to compare Euler Angles with Quaternions. In linear algebra the quaternion equation iterates over vectors and translates (rotates) their position in 3 coordinate planes. It tells you the new location of each member of a vector. With Euler angles, however, the description of the matrix is what gets rotated, not the matrix.
Returning to mathematics; the purpose of mathematics is to validate the properties and functions applied to the sets. It makes no assertions, descriptions or assumptions about the nature of the sets. It's intended to strictly regulate validation of function and derived outtcome only — SkyLeach
demographics — SkyLeach
People gifted in mathematics tend to be (very much a generalization) very judgemental, love symmetry, almost obsessively orderly, emotionally distant, become easily obsessed with problems, stoic in their self image, etc... — SkyLeach
1 infinity + 1 infinity = 1 infinity
— Agent Smith
Again, there is no object that is infinity (other than such things as points of infinity on extended numbrer lines). There are sets that have the property of being infinite.
That cardinal arithmetic is idempotent for infinite sets (especially for the set of natural numbers) is not really not problematic if you bother to read the proof. — TonesInDeepFreeze
I quoted myself because you seemed to have missed my detailed comparison when you asked where Quaternions came into things. — SkyLeach
I was joking about the behavior of fellow mathematicians. In all my days I never saw a rant. And your description of a math person's personality is valid sometimes, but more often they are social animals - the practice of mathematics is a very social activity. I recall being at an autumn meeting at the Luminy campus of the University of Marseilles in 1989 at which there was communal dining and quite a jovial atmosphere. And a summer meeting at the University of Trondheim in 1997 where a member of the royal family attended a convivial banquet overlooking a ski jump where their Olympic team put on a performance. Other international meetings displayed similar atmospheres. — jgill
...gifted in mathematics tend to be (very much a generalization) very judge... — SkyLeach
♾? If I understand you, the only thing the infinity symbol in mathematics means is that the limit isn't known (thus it can't be summed) — SkyLeach
is an uncountable infinity a mathematical object? — Agent Smith
instead of just assuming you should learn a bit more about the humanities and what kinds of research are regularly done — SkyLeach
It's the only one you're[/] getting — SkyLeach
You're a limbrain — SkyLeach
ISFJ — SkyLeach
with an ego the size of a mountain that has repeatedly demonstrated he's here to stroke his ego — SkyLeach
not discuss philosophy. — SkyLeach
I'm also not going to argue (as in fight) with your ego instead of your rational mind. — SkyLeach
Any time you combine multiple data points — SkyLeach
Get involved in philosophical discussions about knowledge, truth, language, consciousness, science, politics, religion, logic and mathematics, art, history, and lots more. No ads, no clutter, and very little agreement — just fascinating conversations.