Soon to be math/science teacher here. In about 5 months I'll have finished up my degree and will be qualified to teach math, chem and bio all the way up to high school. However, I have some major anxiety. Despite having done these classes myself while in high school and having done plenty of university level units, I'm terrified as to how I'll remember everything I need to know. I glanced through a past final exam paper for chemistry and already found so many questions I'm stumped on.
I've already taught in schools as a student teacher but they... Comment too long. Click here to view the full text.
You know how students study for exams? Well, teachers study to improve their classes.
Just calm down a bit. It's not about having everything in your memory, but to be able to understand and teach the concepts. Plan your classes ahead, make helpful presentations, check the answers to your exams with software, and enjoy being a teacher.
ACTUALLY, that's the most important part. Enjoy to be a teacher, otherwise, don't even bother to ruin other students' dreams.
Q: In the last few years, some high profile physicists, including Stephen Hawking, Lawrence Krauss, and Neil DeGrasse Tyson, have made disparaging comments about philosophers, basically saying they have little value to the real world of science. What do you make of these attacks on philosophy by your colleagues?
A: I think it shows lack of imagination and lack of knowledge of what philosophy is all about. There is a lot about the world besides the laws of physics and physical phenomena. There are centuries of experience of wrestling with these problems and refining those... Comment too long. Click here to view the full text.
>Tarski's theorem on the undefinability of truth states that in a consistent formal system that includes basic arithmetic the truth predicate is undefinable (this is closely related to Gödel incompleteness).
can you expose this theorem for the dummy ? how does it relate to Godel's work ?
>>7784987 The proof system is undecidable, only recognizable (in terms of false statements). In other words you can test whether a statement is false (in finite time) by using an algorithm that will eventually find a counterexample for it. However, the same algorithm will never terminate when given a true statement (because it will just keep searching for a counterexample until the end of time). Unfortunately there is no algorithm for checking if a statement is true, which intuitively makes sense. Consider the statement Comment too long. Click here to view the full text.
>>7785014 >This means you can't define a predicate for truth. can you detail this ? to me a predicate is just written P(x) with x some variable and P some shorthand for a sentence. then in set theory, a predicate is a subset and x a pint of the universe.
so a predicate for truth would be written T[x], with x a variable, and in set theory, it would say that the point x is true if and only T[x] ??
Where can I find some good resources on tensors? I studied them few years ago in fluid mechanics and continuum medium mechanics but I forgot almost everything. >I just remember that a tensor is to a vector what vectors are to scalars >I remember the teacher repeating over and over that TENSORS ARE NOT MATRICES !!! I since then graduated from a master in motion control where I hadn't had the occasion to manipulate tensors.
But is there a plateau coming up where we won't be able to advance much more when it comes to engineering in certain fields? The thing is, there's only so much you can teach an engineer and only so many decades that an engineer or scientist can stick to the job before they die. So far advancement has been accomplished by throwing more people at complex projects and dividing everything up into smaller tasks. But isn't there a tipping point there too where there is just too much complexity to handle, or will there be such a point?
>>7784843 The notion of velocity (rather speed) was not new to Aristotle, it was defined by Eudoxus and used in astronomy, including by Aristotle himself. Aristotle roughly thought that the speed of forced motion is proportional to the "power" (force) causing it, and inverse proportional to the resistance of the medium, so mv=F/R is roughly right.
This applies with caveat that the body is actually moving, because the rest is a fundamentally different state for Aristotle. This also leads to infinite velocity... Comment too long. Click here to view the full text.
I just finished precalc in my first semester at uni with the book Precalculus: Mathematics for Calculus, 5th Edition (ISBN-13: 978-0495557500) and while I can't say it's the greatest precalc book, it was good to review with. It's really cheap too
You know you get those images that try to explain gravity and it always looks someone's put something heavy on a stretched piece of fabric. When really that sloping down to centre is just a 2d representation of an effect that happens in 3 dimensions.
How come the solar system seems to fall into that 2d representation with all the planets near enough on one plane? I'd of thought that the planets would be just as likely to orbit the sun in all kinds of inclinations but they dont...
Is psychology really as full of shit as people say it is? Please respond only if you've had experience with the field. I've been very interested in learning a branch of science that focuses on human behavior, but there's a stigma about Psychology that makes me hesitant.
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