## Search found 188 matches

- Mon Aug 11, 2014 1:37 am UTC
- Forum: Mathematics
- Topic: Where can I find a list of modulus laws?
- Replies:
**8** - Views:
**4181**

### Re: Where can I find a list of modulus laws?

Before providing more of an answer: Are you talking about modular arithmetic or the "mod" operator and integer division (as might be encountered in computer programming)? Instance mod 7 (15) = 1 That type of modulus. I hate how these aren't introduced in school. I find them fascinating. I...

- Mon Aug 11, 2014 1:35 am UTC
- Forum: Mathematics
- Topic: Is a Mobius Strip homeomorphic to a torus/ring?
- Replies:
**12** - Views:
**6062**

### Is a Mobius Strip homeomorphic to a torus/ring?

I say ring because of the "literal" one-sided object, but torus because of the physical paper-strip form.

But is it? Or is it its own class of homeomorphism?

But is it? Or is it its own class of homeomorphism?

- Thu Aug 07, 2014 3:44 am UTC
- Forum: Mathematics
- Topic: Where can I find a list of modulus laws?
- Replies:
**8** - Views:
**4181**

### Where can I find a list of modulus laws?

Because I now know that mod n (ab) = mod n (a) * mod n (b), but I'm wondering if mod n (a/b)= mod n (a) / mod n(b) and mod n (a-b)= mod n (a) - mod n (b) and so on. Modulus is a topic I had to teach myself, but I never got around to truly understanding them.

- Sat Aug 02, 2014 2:44 am UTC
- Forum: Mathematics
- Topic: What's your favorite platonic solid?
- Replies:
**21** - Views:
**5069**

### Re: What's your favorite platonic solid?

you can think of vertices as points on the sphere Yup :P It's why I've modified the idiot in a round room joke (well, this involves circles, but the same polygonal limit object sense applies here) in a mathematician's sense. A guy puts a mathematician in a round room and tells them to sit in a corn...

- Sat Aug 02, 2014 2:38 am UTC
- Forum: Mathematics
- Topic: What's your favorite platonic solid?
- Replies:
**21** - Views:
**5069**

### Re: What's your favorite platonic solid?

Another neat property of the icosahedron is that if you set one flat on a table, the slanted faces have slope 2. I rather like the Weaire-Phelan structure , though it’s actually two shapes neither of which is quite a polyhedron, let alone regular. Love your icon :D I LOVE fractals <3 I just made a ...

- Sat Aug 02, 2014 2:37 am UTC
- Forum: Mathematics
- Topic: Is it possible for a math obsession to be unhealthy
- Replies:
**54** - Views:
**14347**

### Re: Is it possible for a math obsession to be unhealthy

skeptical scientist wrote:Girl-With-A-Math-Fetish wrote:What do you think? Is it possible for a math obsession to be unhealthy?

No.

So blunt x'D

- Fri Aug 01, 2014 1:07 am UTC
- Forum: Mathematics
- Topic: What would happen if a fundamental axiom was proven false?
- Replies:
**14** - Views:
**4012**

### Re: What would happen if a fundamental axiom was proven fals

I don't know if there are any such pure logic-symbol terms. I'm almost certain that if there were any, they wouldn't mean much in the absence of what I just explained in English. Paradoxes are bad statements . "This sentence is false," is bad all by itself, because if it's true it's false...

- Thu Jul 31, 2014 11:35 pm UTC
- Forum: Mathematics
- Topic: What's your favorite platonic solid?
- Replies:
**21** - Views:
**5069**

### Re: What's your favorite platonic solid?

Mine's the dodecahedron. It's such a sexy shape. xD In which case you'll probably like this : by drawing lines on (the surface of) a dodecahedron, you can outline five different cubes. Not only is it kind of cool, but it's quite a good lead in to some really interesting bits of group theory. Unfort...

- Thu Jul 31, 2014 11:30 pm UTC
- Forum: Mathematics
- Topic: What's your favorite platonic solid?
- Replies:
**21** - Views:
**5069**

### Re: What's your favorite platonic solid?

I'm not sure if I like the tetrahedron or the dual of the tetrahedron better. Anyway, aesthetically my favorite platonic solid is probably the dodecahedron, but the icositetrachoron is my favorite regular convex polytope for being the odd one out. It's not any of the three that appear in all dimens...

- Thu Jul 31, 2014 11:28 pm UTC
- Forum: Mathematics
- Topic: What would happen if a fundamental axiom was proven false?
- Replies:
**14** - Views:
**4012**

### Re: What would happen if a fundamental axiom was proven fals

And hmmm... would that be a logical paradox, logical inconsistency, or logical fallacy? xD If an axiom implies its own negation *and* its negation implies the original axiom, you have a logical paradox. If some set of axioms can't all be true at the same time, you have a logical inconsistency. If s...

- Thu Jul 31, 2014 5:17 pm UTC
- Forum: Mathematics
- Topic: What would happen if a fundamental axiom was proven false?
- Replies:
**14** - Views:
**4012**

### Re: What would happen if a fundamental axiom was proven fals

Hypothetically speaking, that is. Say that they find two points of which you cannot draw a line to connect them. Of course this is perhaps an insane circumstance, but... what if it *does* happen? What would happen to all of our mathematics? The universe would implode. So stop trying to prove them f...

- Thu Jul 31, 2014 5:02 pm UTC
- Forum: Mathematics
- Topic: What's your favorite platonic solid?
- Replies:
**21** - Views:
**5069**

### What's your favorite platonic solid?

Mine's the dodecahedron. It's such a sexy shape. xD

- Thu Jul 31, 2014 3:17 pm UTC
- Forum: Mathematics
- Topic: Is it possible for a math obsession to be unhealthy
- Replies:
**54** - Views:
**14347**

### Re: Is it possible for a math obsession to be unhealthy

you'll find almost everyone has something they are brilliant about, usually a couple things, and that, if you pay attention, are more than capable of teaching all sorts of novel things - it's wonderfully surprising how smart most people are, especially if you make yourself interested. No one my age...

- Thu Jul 31, 2014 3:14 pm UTC
- Forum: Mathematics
- Topic: What would happen if a fundamental axiom was proven false?
- Replies:
**14** - Views:
**4012**

### Re: What would happen if a fundamental axiom was proven fals

What were you asking this in relation to? The 1+1 things. Axioms are "the rules of the game" - they define what you can do. So you've said "2 + 2 can be taken to be 5". We also know (given the rules of normal arithmetic) that 2 + 1 + 1 = 4 and that 1 + 1 = 2, so we have this sit...

- Thu Jul 31, 2014 8:49 am UTC
- Forum: Mathematics
- Topic: Is it possible for a math obsession to be unhealthy
- Replies:
**54** - Views:
**14347**

### Re: Is it possible for a math obsession to be unhealthy

Well technically I'm not focusing on things that I need to be doing, but that's not caused by my math obsession. That's just me being lazy. xD I don't want a relationship, because who needs that when I've got the beauty of math to capture my heart? xD My obsession sort of defines who I am... plus a...

- Thu Jul 31, 2014 4:09 am UTC
- Forum: Mathematics
- Topic: Is it possible for a math obsession to be unhealthy
- Replies:
**54** - Views:
**14347**

### Re: Is it possible for a math obsession to be unhealthy

My username is to say the least of the extent my obsession. I'd rather not delve into exactly how obsessed I am with the subject, but everyone else thinks I need to be in the looney bin for being as obsessed and dedicated to math as I am. I disagree. I don't think it's possible for a math obsession...

- Thu Jul 31, 2014 4:07 am UTC
- Forum: Fictional Science
- Topic: Time Travel Paradox
- Replies:
**46** - Views:
**14266**

### Re: Time Travel Paradox

but it can get subtler, since you can 'alter' events, provided that the alteration is consistent with the original event But what of Chaos Theory? I think tomandlu is just using "altered" in a loose sense (or else he/she is getting the Novikov principle wrong), as in an alteration about w...

- Thu Jul 31, 2014 4:05 am UTC
- Forum: Mathematics
- Topic: What would happen if a fundamental axiom was proven false?
- Replies:
**14** - Views:
**4012**

### Re: What would happen if a fundamental axiom was proven fals

Yes, but lets say I take 2+2=5 (base 10) as an axiom. We use it to build upon other things... but eventually find that we were wrong about 2+2 being 5. (Instance, we find that we can't draw a line between any two points, though this is clearly not possible). It's like... I'm making the axiom right ...

- Wed Jul 30, 2014 7:24 am UTC
- Forum: Fictional Science
- Topic: Time Travel Paradox
- Replies:
**46** - Views:
**14266**

### Re: Time Travel Paradox

Copper Bezel wrote:you just didn't necessarily know you were there until it happened.

Ahhh yes, I have contemplated that scenario.

- Wed Jul 30, 2014 6:16 am UTC
- Forum: Mathematics
- Topic: What would happen if a fundamental axiom was proven false?
- Replies:
**14** - Views:
**4012**

### Re: What would happen if a fundamental axiom was proven fals

Moole wrote:Then they would make basically the same axiom system, with some twerking to fix that.

Twerking. Do you mean twerking? Because I had the scariest picture in my head. Or sexy? I can't tell. xD

But yeah. It's why I love math. It's so... foundational and rigid.

- Wed Jul 30, 2014 5:39 am UTC
- Forum: Mathematics
- Topic: What would happen if a fundamental axiom was proven false?
- Replies:
**14** - Views:
**4012**

### Re: What would happen if a fundamental axiom was proven fals

Yes, but lets say I take 2+2=5 (base 10) as an axiom. We use it to build upon other things... but eventually find that we were wrong about 2+2 being 5. (Instance, we find that we can't draw a line between any two points, though this is clearly not possible). It's like... I'm making the axiom right n...

- Wed Jul 30, 2014 5:05 am UTC
- Forum: Mathematics
- Topic: What would happen if a fundamental axiom was proven false?
- Replies:
**14** - Views:
**4012**

### What would happen if a fundamental axiom was proven false?

Hypothetically speaking, that is. Say that they find two points of which you cannot draw a line to connect them. Of course this is perhaps an insane circumstance, but... what if it *does* happen? What would happen to all of our mathematics?

- Wed Jul 30, 2014 1:23 am UTC
- Forum: Mathematics
- Topic: Is it possible for a math obsession to be unhealthy
- Replies:
**54** - Views:
**14347**

### Re: Is it possible for a math obsession to be unhealthy

PsiSquared wrote:So given the data you've provided us, I'll say that the conditional probability that your interest in math is "unhealthy" is very very low.

Yet someone has to be that statistic for that cohort of 17 year old girls.

- Wed Jul 30, 2014 1:18 am UTC
- Forum: Fictional Science
- Topic: Time Travel Paradox
- Replies:
**46** - Views:
**14266**

### Re: Time Travel Paradox

tomandlu wrote:gmalivuk wrote:but it can get subtler, since you can 'alter' events, provided that the alteration is consistent with the original event

But what of Chaos Theory?

- Wed Jul 30, 2014 1:17 am UTC
- Forum: Mathematics
- Topic: What would be the all around "best" base to use?
- Replies:
**52** - Views:
**13895**

### Re: What would be the all around "best" base to use?

ThirdParty wrote:I'd like to nominate Base 36 for consideration.

Didn't base 39 once get used? People counted off all their body parts, including their dong. I wonder how women counted. This was long before the age of female oppression. xD

- Tue Jul 29, 2014 12:26 am UTC
- Forum: Science
- Topic: "Fat" Universe Theory
- Replies:
**50** - Views:
**7789**

### Re: "Fat" Universe Theory

Right, and the difference is that if the space itself is expanding, everything can move away from everything else, homogeneously and isotropically. I personally think that the universe isn't physical, and is just an illusion generated by math. We're pure math. Nothing but math. xD I shall prove the...

- Tue Jul 29, 2014 12:25 am UTC
- Forum: Fictional Science
- Topic: Time Travel Paradox
- Replies:
**46** - Views:
**14266**

### Re: Time Travel Paradox

The thing about time travel is that the answer to most questions like this is simply, "Depends how you want it to work in your fictional universe." That said, you might be thinking of the Novikov self-consistency principle , which basically says that time travel is possible but events whi...

- Mon Jul 28, 2014 5:18 pm UTC
- Forum: Science
- Topic: "Fat" Universe Theory
- Replies:
**50** - Views:
**7789**

### Re: "Fat" Universe Theory

I personally think that the universe isn't physical, and is just an illusion generated by math. We're pure math. Nothing but math. xD Have you seen Tegmark's book Our Mathematical Universe ? He's a physicist who postulates pretty much that exact idea, although the book also covers a lot of more mai...

- Mon Jul 28, 2014 4:00 pm UTC
- Forum: Fictional Science
- Topic: Time Travel Paradox
- Replies:
**46** - Views:
**14266**

### Time Travel Paradox

Let us assume that if we go back in time and change something, the future actually does change. If we went back in time and changed the past, would we actually notice it in the future? No one would have known what the original outcome was. And if so, wouldn't a grandfather paradox effect take place,...

- Mon Jul 28, 2014 3:49 pm UTC
- Forum: Science
- Topic: "Fat" Universe Theory
- Replies:
**50** - Views:
**7789**

### Re: "Fat" Universe Theory

Right, and the difference is that if the space itself is expanding, everything can move away from everything else, homogeneously and isotropically. I personally think that the universe isn't physical, and is just an illusion generated by math. We're pure math. Nothing but math. xD Ok, I can see how...

- Mon Jul 28, 2014 3:09 pm UTC
- Forum: Science
- Topic: "Fat" Universe Theory
- Replies:
**50** - Views:
**7789**

### Re: "Fat" Universe Theory

doogly wrote:Right, and the difference is that if the space itself is expanding, everything can move away from everything else, homogeneously and isotropically.

I personally think that the universe isn't physical, and is just an illusion generated by math.

We're pure math.

Nothing but math.

xD

- Mon Jul 28, 2014 3:08 pm UTC
- Forum: Science
- Topic: "Fat" Universe Theory
- Replies:
**50** - Views:
**7789**

### Re: "Fat" Universe Theory

Whizbang wrote:I was going to respond to this but got sucked into Girl-With-A-Math_Fetish's avatar.?

Fractals will do that to you

- Mon Jul 28, 2014 2:08 pm UTC
- Forum: Science
- Topic: "Fat" Universe Theory
- Replies:
**50** - Views:
**7789**

### Re: "Fat" Universe Theory

The expansion of space is exceedingly uniform. In order to have the particles have their masses increase at the same rate even across Hubble horizons, you would need a lot of tricks. Even more so to have it equally effect all different particle species. In order to be effecting all of the standard ...

- Mon Jul 28, 2014 1:05 pm UTC
- Forum: Science
- Topic: "Fat" Universe Theory
- Replies:
**50** - Views:
**7789**

### "Fat" Universe Theory

I was browsing FB today, and IFLS had posted a link that talked about how the "universe isn't expanding; it's just getting fat." They didn't post any good sources to the theory, but they linked to a place they describe it briefly here: http://io9.com/new-theory-says-the-universe-isnt-expan...

- Mon Jul 28, 2014 9:03 am UTC
- Forum: Mathematics
- Topic: Is it possible for a math obsession to be unhealthy
- Replies:
**54** - Views:
**14347**

### Re: Is it possible for a math obsession to be unhealthy

plan to legally change my name to the Riemann Integration formula + Fractal + Nspire-CX (because I plan to marry said calculator) I suggest you wait a few years and get some more experience with math and life before going through with that. You might reconsider. Also, mathematicians don't really us...

- Mon Jul 28, 2014 9:02 am UTC
- Forum: Mathematics
- Topic: Is it possible for a math obsession to be unhealthy
- Replies:
**54** - Views:
**14347**

### Re: Is it possible for a math obsession to be unhealthy

I think it's important to find people who share and understand your obsession. Try out some math competitions. If you're in high school, take the AMC 10 or AMC 12, and/or join an ARML team. If you're in college, try the Putnam. If you're in middle school, do MathCounts. Warning: the problems may be...

- Mon Jul 28, 2014 9:00 am UTC
- Forum: Mathematics
- Topic: Is it possible for a math obsession to be unhealthy
- Replies:
**54** - Views:
**14347**

### Re: Is it possible for a math obsession to be unhealthy

If you take amphetamines in order to do more math it is unhealthy, and if the math you wind up doing is as good as Erdos's we'll forgive you anyway. Short of that you're probably fine. Perhaps one day :P You can't expect Erdos quality work from a 17 year old xD I DO have a theory though, but it req...

- Mon Jul 28, 2014 8:59 am UTC
- Forum: Mathematics
- Topic: Is it possible for a math obsession to be unhealthy
- Replies:
**54** - Views:
**14347**

### Re: Is it possible for a math obsession to be unhealthy

Orlando, Florida There's your problem right there. Nothing good can come of living in Florida. Have you considered running away from home and moving to a state that doesn't suck? (Full disclosure: I used to live in Miami) If you are curious about what the rest of math looks like and unwilling to ru...

- Sat Jul 26, 2014 8:20 pm UTC
- Forum: Mathematics
- Topic: Is it possible for a math obsession to be unhealthy
- Replies:
**54** - Views:
**14347**

### Re: Is it possible for a math obsession to be unhealthy

Because IDGAF what anyone else thinks about me anyways. xD Then why did you ask whether your obsession could be unhealthy? Because regardless of what anyone else thinks, things can be unhealthy. Few people care if other people are smokers. But that doesn't make smoking healthy. Regardless of whethe...

- Sat Jul 26, 2014 8:18 pm UTC
- Forum: Mathematics
- Topic: Is it possible for a math obsession to be unhealthy
- Replies:
**54** - Views:
**14347**

### Re: Is it possible for a math obsession to be unhealthy

If you were truly obsessed with mathematics, you wouldn't be posting on this forum. You would be hanging out in the mathematical library of your local university until closing time, finding a place to work out your ideas for solving whichever problems interested you, or discussing ideas with friend...