Recent content by discrete*

I'd be happy to give your book a look-through, but I'm not downloading it from that site. If you want, post a link to a PDF or a more secure source.

You could put "a function f from A to B" of "a function f:A->B" into Google, however this is a very general statement. I would imagine you'll get a whole slew of search results, because that expression is used nearly everywhere in mathematics. Is it a specific function that you're...

It happens sometimes. My advice would be to never let an opportunity to learn from a poorly done exam pass you by. Every exam that I get back, I look over the exercises that I got wrong and find out why I did and how to do them right. The more poorly I do on the exam, the more work I put into...

You lost me. Why is A1, A2 not defined? And where/why are the other sets coming into play?

This is a general definition of what we refer to as index sets. Indexes appear in all branches of mathematics, and you've undoubtedly seen them before. Many times where you see a "subscript", that's usually an indication that something is being indexed by the subscript. The case here is not...

This is not really the right place to post homework-style questions. Also Jarle's post contains the answer to your question in the clever wording of the definition. Good luck, welcome to the forum!

As mentioned by micromass, Hrbacek and Jech is about as good as you get. However, I've found that the book is very pricey. There are alternatives. Consider Stoll's Set Theory and Logic. It's excellent. Some of the chapters focus on formal logic, algebra, or the construction of the number line...

What's the contradiction that you're referring to? It's already been stated that the needed bijection doesn't exist. I'm not following you're argument...

This is just not true at all. To the OP: if I were you, I'd evaluate how much time you have to actually study such a subject. Then proceed from there. Once you know how much time, say, per week that you could dedicate to your studies, then you can figure out where you should begin. Be...

I'm going to agree with the majority here and say that it is not detrimental to be a less-than-stellar calculator. I'm not good in this way at all. In fact, I hated maths in High School for this reason, and only was successful in the field once I saw a proof. However, I will also say that I...

It depends on the type of Logic and the structure of the course. Normally, at the undergraduate level, a course in Logic is one of two things: a very easy introduction to Symbolic Logic taught out of the Philosophy Dept. or a Mathematics course that can act as a transition to other advanced...

Thanks, twofish.. Always enlightening.

It's hard for us to be simple and straightforward -- it goes against our nature. ;) However, I think I can do it just this once. Have a look at this: http://mathworld.wolfram.com/Axiom.html If you still have concerns, reply back and we can get back to the lofty, nonlinear discussions that we...

Thanks to everyone for all the replies.

Why does the Continuum Hypothesis have to have a "use" for it to be of importance? You say that the AoC is important -- which we can all agree upon -- because it leads to important results. How can you deny that of the Continuum Hypothesis? It may not lead to important results outside of the...