Ok cards on the table, no memes or hyperbole. What is the actual fucking point of Topology as a field of study. I have yet to hear a clear answer. From everything i've seen it appears to be almost like an extremely complicated puzzle game that mensa members pass off as a science while redditors clap along.
Am I missing something or is it as silly as it seems?
I've yet to meet the first mathfag who is able to actually understand stuff like signalling pathways, gene expression, speciation/evolution in general, or even fucking cell respiration.
They may understand in terms of "2 of molecule X becomes 1 of molecule Y and 1 of 1 of molecule Z" but otherwise they just draw a blank because their brains are not wired to process the "how" and all the factors that come into play for that reaction to happen.
Don't get me wrong, mathfags are great and can do math things we mere biologists can't even fathom, but boy does it suck when you gotta explain to them how things work when you need their help in developing models/programs.
/sci/ is a pretty blatant proof. The board is dominated by math/physicsfags and they're completely illiterate in biology. Just open any evolution thread and it's just sad.
t. Biofag
Respectfully, do you love Wikipedia? Do you browse Wikipedia all the time? Not even trying to be an elitist or brag I genuinely love Wikipedia. It's so fun to learn about Chechens in France, Bison Smith's biography the next, Muslim patrol incidents in London one day, and Steroid 11?-hydroxylase on a good day.
I am a noob at this stuff but I do enjoy watching numberphile videos. I caught the one about the Collatz Conjecture yesterday. At one point he demonstrates that while you are doing the operations for any number you may have picked, if you end up on a number that has been a starting point before which has been proven to go to 1, then you can stop right there and don't need to continue. This got me to thinking, if there were a number which defied the Collatz Conjecture, wouldn't that mean that every single number you get to when performing the operations on it (3n+1, /2 ) would ALSO have to defy the Collatz Conjecture? So if you take the magical number and do 3n+1 to it, whatever that number is would also have to not go to 1, and then if you divide that number by 2, that next number would also have to not go to 1. So on and so on.
What do you call a function that has multiple mappings for the same value of x as opposed to a single mapping for each value of x? I'm new to function terminology.