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Have You Ever Wondered.... - Page 2

post #31 of 39
Why did I open this thread?

My brain hurts now.


Along time ago about ten years I saw a documentry on PBS it was called "Is the Universe expanding?"

That documentry kept me up for days thinking about what the universe is expanding into. Until one day I let that thought go. That thought was now reopened when I opened this thread.


HERE WE GO AGAIN!
post #32 of 39
Thread Starter 
Quote:
Originally Posted by Breal76 View Post
Why did I open this thread?

Why did I start this thread?!

Y'all are making me dizzy!
post #33 of 39
If you really like to think about pointless stuff you should take the History of Math course here at Platteville. The last 2-3 weeks is dedicated to proving that we actually know nothing about mathematics. Here is what I remember:

If the system we have come up with known as mathematics is real you should be able to break it down to its simplest term and then it would logically progress from there. But what is that simplest term? It you try to logically break the mathematic system down this is how it goes(according to mathematicians in the 19-very early 20th centeries). Advanced Mathematics is based on calculus which is based on algebra and geometry which are both based on arithmetic which is based on numbers which are parts of sets(the set of integers, the set of real numbers, the set of complex numbers, etc). So by this break down the smallest system with in mathmatics is sets. So many people started to work on set theory and they were fine when they were working with finite sets. They could calculate intersections and unions and find the cardinality. Then someone came along and developed the idea of the Super set. The Super set is a set with larger cardinality then its subset. For example {1,2,3,4} is a super set to {1,2,3}. This man then said that every set imaginable has a super set. Then someone said "Well what about the integers, there not a finite set" so they started to work on infinite sets and this is where the problem came. The set of all numbers up to infinity is what an infinite set is. But since all sets have a super set then what is bigger than infinity.

Set theroy was supposed to be the foundation that all of mathematical thought was supposed to be built up from. But it now had a large crack in it and thanks to the work of a few other men it started to crumble and fall apart. This is where mathematics starts to break down and there are more examples and theroms that prove that we really don't know any of the mathematics that we claim to know. I just don't remember enough of the examples to state them here. With out a firm foundation how can we build the rest of mathematics, in other words how can we be sure of anything if were not sure of the basics.

This also begs the question: Was mathematics invented or discovered? This was actually the topic of the final paper we had to write in this history class.
post #34 of 39
Quote:
Originally Posted by algebrapro18 View Post
...This also begs the question: Was mathematics invented or discovered? This was actually the topic of the final paper we had to write in this history class.
Yes, a very good question indeed! We always assume that math is universal, and we imagine using binaries to communicate with aliens, etc. But what if it's not? How could we even begin to cope with a universe in which 1 + 1 does not equal 2?

If there's anything we know, it's that we don't know everything.
post #35 of 39
[quote=CarolPetunia;2361879

If there's anything we know, it's that we don't know everything.[/QUOTE]

Actually the more we learn the more we realize that we truly know nothing and that our knowledge is based upon a set of assumptions that we make. One of my professors once tried to convince me that you don't realize this until you have your PhD but I realize it now and I don't even have my undergrad degree yet...
post #36 of 39
What really makes my head hurt is particle wave duality.

How can it be both?

post #37 of 39
Here's some silly ones for ya:


If you choke a Smurf, what color does he turn?

Why do you drive on a parkway but, park in a driveway?

If a microwave can heat something up really fast then why can't a freezer cool something down just a quick?

post #38 of 39
Quote:
Originally Posted by AlleyGirl View Post
What really makes my head hurt is particle wave duality.

How can it be both?

I've always imagined that it isn't that it's both a particle and a wave, but that it's some third thing that can behave both as a particle and as a wave. But what conditions (if any) dictate which it behaves as at any given moment... I dunno.

Maybe "wavicles" exist only to have inspired the development of the Heisenberg Uncertainty Principle. I'm not sure.
post #39 of 39
Arrrrrrgh! I love you guys, but this was definitely NOT a thread that I should have opened tonight! I'm already up because of a bout of insomnia.....and this ain't helping, lol!
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