assistant confirm for topos theory project spring 2k14!
hey how do I get this thing? is it an XKit extension?
Install User Menus+, then install Find Blogs.
next semester, if i’m still alive, i will not take a year’s worth of classes.
If you’ve put anything in the notes to any of my posts in the last few days, chances are I haven’t noticed, and I’m sorry. One of my old posts has exploded and at its peak yesterday was getting about two notes every second on average.
Incidentally, welcome to all the new followers! I hope you didn’t actually stay awake twelve hours to see the gifset reset.
How do you feel about countable models of the real numbers?
I used to find them somewhat disturbing, but it occurred to me that, really, we can only construct countably many real numbers, so who really needs the other ones?
(I mean, except for the purposes of, like, measure theory)
I guess my feeling is: remember that Löwenheim-Skolem doesn’t hold in second order logic. :p
What are your thoughts on Applied Mathematics? By that I mean, how do you feel about solving "real world" problems? Which topics in Math (Pure and Applied) are more interesting to you?
My mother used to tell me “The difference between theory and practice, is that in theory, there is no difference.”
so as far as I’m concerned, there is no difference.
I really love blogs like yours but I always expect you guys to be bombarded with people who want you to do their math homework. That has to be so discouraging :\ You're definitely not anyone's calculator.
Yeah, that might have been a little harsh, since so far the homework questions I’ve gotten haven’t been that bad.
But seriously. If the thing you ask me could be answered automatically, it’s really rude to ask it of me. Please ask wolfram and google first, and only ask me if they fail and you’ve thought about it *really really hard*. For at least 10 minutes. By an actual clock. Without making any progress at all.
(also there’s starting to be a lot of you, if it gets really bad I might have to instate a blanket ban on homework questions.)
Question...i have 300ml of water and i want to add 20% more water. how much ML is that in total? need answer for 10% & 15%. Thanks!
Go ask wolfram for the other two. Please do not ask me anything like this. I am not your calculator.
I’ve barely dabbled in all this foundational stuff, but here’s my current attitude.
I don’t know to what extent it makes sense to talk about axioms being “true”.
Like, surely you would agree that mathematics with or without CH is still mathematics? There are models that satisfy CH or ¬CH that are interesting and worthy of study, I would argue.
In the end, one chooses axioms in such a way that the theory they generate behaves in the way we want it to, as far as I can tell. And that means either that it is nice somehow or that it captures some behavior one wishes to study.
And I guess, it just isn’t in my temperament to say that something definitely isn’t nice or useful somehow? I mean, it really feels like in order to be confident in something like that I’d have to spend more time on it than can be found in one lifetime.