The images below are thumbnails of mathematical artworks I had made. Click the image for greater resolution.
Saturday, April 26, 2008
Friday, April 11, 2008
In order for the following Intelligent Design Conjencture to be true, several condition must be met :
- Theory of Evolution must be true.
- Evolution is Turing Complete.
- Evolution go faster in faster computational medium.
- Hard Artificial Intelligence are feasible.
A good scientific theory must be able to make prediction, which can be evaluated by observation.
The theory of evolution is a good scientific theory, its claim have been verified by observation of fossil records from the past. Theory of evolution predicts that some sentient beings given enough time is going to evolve intelligence, and human is but an example of such thing.
The time required for humanity from when they gain full-sapience to modern technology is roughly 200,000 year.
Evolution from sentience to partial-sapience or full-sapience require billions of years, and not all species succeed reaching it.
Given that a species capable of full-sapience, have good probability of existing and continue to develop their technology in the timeline required for sentient species to evolve sapience, it is highly probable that a species will observe powers possessing greater intelligence, by the time they reach sapience.
Which means that if we take a random sapient species evolving naturally from a universe-sized box, most of them are going to observe powers possessing greater intelligence, by the time they reach sapience.
A technological civilization of a sapient species may catalyze the evolution of other sapient species, either via natural intelligence catalization or artificial intelligence catalyzation.
This intelligence catalyzation process may be deliberate or non-deliberate.
Deliberate natural intelligence catalyzation happen if the technological species provolve, train or teach less developed sentient beings, to develop their technological capability.
Non-deliberate natural intelligence catalyzation happen if the less developed sentient beings watch and learn what already technological species does.
Deliberate artificial intelligence catalyzation happen if the technological species create artificially created intelligent agent having full-sapient capability.
Non-deliberate artificial intelligence catalyzation happen if the artificial intelligence results from unexpected result from an experiment conducted by technological species.
If a technological species happen to discover space travel, the extreme difference of condition between worlds may force them to deliberately catalyze the evolution of new intelligent species, for their economic or memetic purpose. Which means that a naturally evolved technological species, may catalyze the evolution of more than one sapient species.
Since evolution process go faster in faster computronium, most species are going to be the result derived from evolution inside faster computronium.
Naturally evolved brain is a faster computronium than natural chemical process and biological evolution of pre-sapient beings. The development of technology means increase in computation demand, which fuel the development of even faster and more effective computronium.
Which means that if we take a random species in this universe, there are higher probability that they are result of evolution in the ideosphere of a technologically advanced species, rather than purely the result of natural evolution.
Which means that if we take a random species in this universe, there are higher probability that they are created by a technologically advanced beings ( very far more advanced than the created species, bordering on godlike ), rather than the result of natural evolution.
Thursday, April 10, 2008
The problems it capable of solving is the one, in the patterns like below :
-> x2 + 4x + 6 = 0 , 2x2 + 6x + 7 = 0
-> x2 + 6x + 6 = 12 , 3x2 + 1x + 1 = 25
-> x2 + 2x = 30 , x2 + 33 = -5x
-> x2 = 25 , x2 = -25
-> ( x - 3 )( x + 6 ) = 23 , ( x + 5 )( x +2 ) = 33
-> ( x - 3 )( x + 6 ) = 2x2 + 25
And from those equation, the program is capable of deriving the value of :
-> Determinant ( b2 - 4ac ).
-> The roots ( x1 and x2 ) by using quadratic (abc) formula.
-> The roots ( x1 and x2 ) by using factorization.
-> Determining values like x1+x2 ( Sum of Roots ) , x1*x2 ( Product of Roots ) , x1-x2 (Difference between Roots), etc.
In order to understand about how Quadration Equation Solver works, just download the program and follow this tutorial.
So now, how can I ask for the value of Sum of Roots ( x1 + x2 ) and the value of Product of Roots ( x1x2 ), from equation like -x2 + 3x + 4 = -2x2-2x ?
You may also copy the program to your friends for free, but you may want to remind them to download the latest version directly from this blog.
Have fun using the program. :D
Monday, April 7, 2008
Thursday, April 3, 2008
Gosper's Glider Gun (Rule 23/3)
Lexicon Of Life ).
octagon IVs, non-monotonic spaceships, and sparky spaceships. ( See the definition of each component in the Lexicon Of Life )
Download Cellular Automata Installer here.