Wednesday, April 14, 2010

Even More Geometrical Constructions

Swirled Hexagons

Countercycle


Tunnel

Celtic Knot

Cross



Geometric Series



Infinity

Similarity

Starwheel

Spider



Layered Flower
Tree

Shockwave

Substructure

Pebbles

Shuriken

Caltrop

Stellar Nursery

Penrose 1

Penrose 4

Penrose 2

Penrose 3

Sunday, April 11, 2010

The Bat-God

Do Jews, Christians and Muslims worship the same god? Is the God of the Torah the same as the God of the Bible the same as the God of the Koran?

Here's my (atheistic) take on it: God is like Batman. I don't mean that he's a superhero who fights crime under the cover of darkness (though that would be pretty cool). What I mean is that the different versions of Batman are like the different versions of God. There's the Batman of the comics, the Batman of the early Batman movies and the Batman of the rebooted Christian Bale Batman movies.

In each version, certain important characteristics stay the same. Batman is always dresses up as a bat to fight crime, has a batmobile and a batcave, etc. God is always the omnipotent creator of the universe, who personally cares about humans.

But also, important characteristics change. Who killed Batman's parents and where did he learn to be an expert in hand-to-hand combat? Who was God's most recent prophet and does he care if we eat pork?

So, is God the same God? Well, in the most important aspects, yeah, pretty much. But, that doesn't mean they're interchangeable regardless of context. You can't talk about why Michael Keaton's Batman never mentions Ra's al Ghul because it's not the same continuity. Similarly, you can't ask why the Christian God allows pork when the Jewish God prohibits it.

Of course, this is approaching God as a purely fictional literary character. A real entity can't be three different versions at once. Wait a minute...

(As a sidenote, I find it somewhat interesting that Aphrodite is another god(dess) who rather different versions of herself.)

Monday, March 29, 2010

The Efficiency of Captialism

Proponents of capitalism like to say that it's the most efficient economic system we have. I think it would be more accurate to say it's the least inefficient, similar to how democracy
is the worst form of government, except all those other forms that have been tried.

-Winston Churchill

Capitalism works well - very well - in certain controlled circumstances. When a resource is scarce, but not too scarce. When there are few barriers to entry. When there is strict regulation preventing monopolies from forming and other predatory business practices. When there's not too much unemployment, but not too little. When there's an increasing population. When income inequality is not too high, but also not too low.

If all these conditions, and others I haven't named, are met, capitalism is quite efficient. But too frequently, these conditions aren't all met. And when that's the case, capitalism kinda blows. Other forms of economy may blow even worse (though I'm sure other forms can outperform capitalism in certain circumstances), but that doesn't make capitalism good.

What brings this up is farmers destroying their crop, because they have too much. From a capitalist point of view, they're making the right decision. Reduce supply to increase price and profit. I can't see how any economic system rewards destroying a resource (especially one as valuable and necessary as food) more than distributing it could possibly be considered efficient. It seems to me to be an incredible failing of the system of capitalism.

Saturday, March 20, 2010

Something That Explains Everything Doesn't Explain Anything

I read this somewhere else, but it's important so I'll talk about it too. "Something that explains everything doesn't explain anything." Sounds a little confusing at first. Let me try to reformulate it a little bit clearer.

Suppose you have an idea that is supposed to explain something. If any observation you make can be fit into this idea, then it doesn't have any actual explanatory power.

Now, let me explain. If something has no predictive power, it has no explanatory power. Because, if it can't tell you what to expect in the future, it can't tell you why something happened in the past. That is, if something has can explain something, it should be able to take the explanation, and apply it to something it hasn't seen the result of.

Something that can explain everything has no predictive power. Because it if explains x just as well as not-x, it gives you no reason to expect one over the other.


This is why falsifiability is so important in science. If nothing can show a hypothesis to be wrong, then the hypothesis "explains" everything. If there were anything that it didn't explain, then that potentiality would falsify the hypothesis. An unfalsifiable hypothesis can't explain anything.

Thursday, March 11, 2010

The Supernatural Does Not Exist

Pretty much just by definition. The supernatural is that which is outside of nature. Nature is equivalent to the universe. If something is outside of the universe, it cannot interact with the universe. If it could interact with the universe, it would be part of the universe. If it cannot interact with the universe, there is no meaningful sense in which it can be said to exist. At best, you could say that it exists in some other universe*, but not this one.

Note: this is not intended to apply to any specific "supernatural" phenomena. This in no way disproves god or ghosts, or whatever. It merely says that if they do exist, they are not supernatural.

*Though, by these definitions, other universes don't exist. They either interact with this universe, in which case they are part of this universe, or they don't, in which case they don't exist. I'm fine with this, since "exists" should imply existing in this universe. It's not really much good to talk about something that exists, but has absolutely no impact on us in any way whatsoever.

Saturday, March 6, 2010

Blasphemy

Blasphemy must be allowed. Though, not always appropriate, it must always be considered acceptable.

Why?

Because everything is blasphemy. Every Christian church blasphemes against Islam and Hinduism and every non-Christian religion (and maybe even some different forms of Christianity too!) every single week. Every religion blasphemes against every other religion, and just about every statement of opinion is blasphemy to someone. Hell, even demonstrable facts can be blasphemous (consider evolution).

Something cannot be considered wrong simply because it it blasphemous, because otherwise, everything would be wrong.

Thursday, February 18, 2010

Abstraction

Our human ability to abstract is perhaps our greatest ability. It allows us to look at this, this and this and call each of them "tree". We need it to understand mathematics, science and, well, everything, really.

But it can be taken too far.

Ideas like Platonic Forms are recurrent themes in philosophy. The idea that the abstractions are more real than the things that they represent. This is, perhaps, the greatest folly of philosophy.

What exists is what exists. Our conceptions and abstractions are merely tools we use to understand and manipulate reality.