Mathematics explains the uncertainties in the physical universe. The physical universe has no uncertainties since it can be explained mathematically.
What is actually mathematics? Is it the evolutionary time line that us humans have unconsciously created through the thousands of years?
Mathematics; which can be divided upon many fields such as Arithmetics, Geometry, Trigonometry, Algebra, Calculus, Differential Equations and many more fields is the greatest tool that man has ever created. It is the pinnacle of evolution, the representative concept to explain the world, and in this case the principles behind the formulas, theories and laws that dictate our universe, by means of the other great evolution that mankind has achieved, communication.
Mathematics is the language in which we express the nature of our physical surroundings.
Mathematics, alone, is nothing more than conjecture on what entials the relationship between two seperate entities and their defined relationship.
Mathematics, when applied, is the tool we use to determine the relationships between different real entities.
Mathematics is the logical system that deals with numbers. Different people may have different definitions, but it appears that things like chemistry, grammar and NKS are logical systems which are outside mathematics (although they do make use of mathematics).
Mathematics is just a simplification of everything physical so it can be placed upon paper or whatnot.
I wonder if perhaps mathematics cannot explain everything, and if not, perhaps we are incapable of understanding or sensing what mathematics as we know it cannot explain. Our mathematics are of course invented, but it's universal (for everyone that uses our number system) so everyone can understand it. I personally disagree that we solely express our surroundings with mathematics or that mathematics can only express our surroundings. True, it can, but there are many things that mathematics cannot explain by itself. I'm just wondering if you include stuff like physics in this math discussion.
Physics in my HS comes right after Alegebra1, and it is a math credit so I agree physics is sort of a math yet not quite a math. Math to me potrays the physical world as in things that are there like gravity, and gravitys force can be portrayed in math form. Which gravity and volume and stuff like that I thought were physics.
I can't think of anything of which cannot be expressed mathematically.
Everything can be expressed mathematically, it all fits into a set of complex equations and functions. The mathematics and sciences that most of you know, that of a perfect universe do not exist and I'll give you an example.
You have that F=ma, one of the principles on which physics is built upon. I asked myself this many times, and so have you, what if the force isn't constant?, what if the acceleration isn't constant? what if there is an outside variable?
This is why I think that nobody can understand physics without learning the proper mathematics, in this case, Calculus.
You can conclude that F=d(m*v)/dt, which can be read as the Force is equal to the differential of the product of mass and velocity divided by the differential of time. Then you can use integrals or whatever you need to find a specific value.
In essence, everything works exactly as formulated, the formulas are there, we just need to discover them in some cases.
Math is a way of translating things that happen in our everyday life (for example) into another abstract form, then, you come to some conclusions with abstract language, and apply those conclusions to everyday life.
QUOTE(BeeR_KeG @ Nov 15 2006, 08:59 PM)
Mathematics explains the uncertainties in the physical universe. The physical universe has no uncertainties since it can be explained mathematically.
What is actually mathematics? Is it the evolutionary time line that us humans have unconsciously created through the thousands of years?
Mathematics; which can be divided upon many fields such as Arithmetics, Geometry, Trigonometry, Algebra, Calculus, Differential Equations and many more fields is the greatest tool that man has ever created. It is the pinnacle of evolution, the representative concept to explain the world, and in this case the principles behind the formulas, theories and laws that dictate our universe, by means of the other great evolution that mankind has achieved, communication.
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I completely agree, this is why I wish to learn as much math as I can. My school isnt great in mathematics, which is why I am a year ahead. But to friends from other schools I am even with them. I feel the need to learn it all because it is the most used and I think it would help when I am working with computers in the future!
You can't learn it all, unless you wanna be in college for 20 years.
QUOTE(Mp)7-7 @ Nov 17 2006, 07:49 AM)
I completely agree, this is why I wish to learn as much math as I can. My school isnt great in mathematics, which is why I am a year ahead. But to friends from other schools I am even with them. I feel the need to learn it all because it is the most used and I think it would help when I am working with computers in the future!
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I'm currently studying Computer Engineering, so feel free to ask away.
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You can't learn it all, unless you wanna be in college for 20 years.
Not 20, but more like 6~7 with an average number of credits.
If everything can be expressed mathematically, then there really is no chance or free thought in this world whatsoever. We're all doomed to fate.
our brain waves can be calculated through mathematics. but i wonder if our thoughts will be able to be expressed through mathematics?
I bet they can Lithium we just havnt figured out how yet.
QUOTE(Felagund @ Nov 17 2006, 06:57 PM)
If everything can be expressed mathematically, then there really is no chance or free thought in this world whatsoever. We're all doomed to fate.
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That's true. But no man or machine will have the ability to calculate such a thing within the next ten thousand years.
Math and logic are the exact same things, they both revolve around organizing information and finding/proving answers with the information provided. Except logic uses words and math uses numbers and variables. The only other major difference is that logic comes off as a little pretentious sometimes.
In my opinion, most of you guys are defining mathematics as being too big. The way I see it, mathematics is the branch of logic dealing with numbers, while other branches, including formal inductive and deductive reasoning, other logical systems, etc, are outside mathematics, as is physics.
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Our mathematics are of course invented, but it's universal (for everyone that uses our number system) so everyone can understand it.
Actually, most advanced mathematical theorems are not dependent on number base.
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If everything can be expressed mathematically, then there really is no chance or free thought in this world whatsoever. We're all doomed to fate.
Well, that depends whether randomness can be part of a logical system. At any rate, it seems that, if the Universe is, at the most basic level, logical, then free will is probably an illusion. So far no one has come up with a logical system that allows for free will.
actually. a complete anarchy allows free will. but that will also be a complete chaos.
so expressing that in a quite simple reasoning.
1+1=11
i bet thats pretty chaotic.
I think you misread him. What he's trying to say is that if math is universal and everything. Then there is no free will.
I disagree with that statement, because it's much like the concept of randomness. If you know everything in the universe, randomness does not exist for you. But if you're like everyone else and do not know everything in the universe, then randomness does exist for you. Free will follows the same concept.
QUOTE(BeeR_KeG @ Nov 17 2006, 05:47 PM)
I'm currently studying Computer Engineering, so feel free to ask away.
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What kind of things do you know about computers? lol, I want to know everything. I am not sure if I want to go to a WEB based idea, Computer Animation, Programming, or Making Computer Games. What would I have to learn to do these?
uh advanced programming? 3d/2d graphic rendering and animations rendering and fx programming? Being a game maker is a pain in the ass. Every 2 years, you'd have to learn new things on OSes and consoles.
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I think you misread him. What he's trying to say is that if math is universal and everything. Then there is no free will.
Well, not just mathematics, but any known kind of logical system. So far we have discovered nothing that explicitly says free will can exist. And with the burden of proof logical convention, we must assume for the moment that free will does not exist. Note that free will not existing is
not the same as everything being predetermined.
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I disagree with that statement, because it's much like the concept of randomness. If you know everything in the universe, randomness does not exist for you. But if you're like everyone else and do not know everything in the universe, then randomness does exist for you. Free will follows the same concept.
This is a valid and interesting point. And yes, we could say that, from our subjective point of view, free will seems to exist. This is the argument that tells us why we shouldn't just stand there doing absolutely nothing. However,
objectively, it seems unlikely that free will exists.
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What kind of things do you know about computers? lol, I want to know everything.
Me too. I really need to learn a decent programming language one of these days. So far I seem to be cursed to learn only useless languages. Let's see now, I've got Excel 4.0, TI-basic, StarCraft triggers, Age of Empires II triggers and EnigmaSand mod programming. All of which I learned very easily, and all of which are next to useless. Go figure. -_-
Learn Java to do Computer Programming. Though this cant make you rich, If you are looking on getting rich, some languages that write games like starcraft could get you rich though I dont know any.
As far as I know, StarCraft and most of Blizzard's other games are written in C++. I don't really care what I learn, so long as it's useful; I intend to learn pretty much all of them eventually anyway.
Heres what I would do.
Learn C# and C++ at the same time or C++.NET.
Why? Managed langauges are only going to get bigger and better while languages like C++ will always be useful. Plus they have similar syntax.
C# is easier to get into and can achieve a lot of the same speed C++ can. I'd really suggest going to Microsoft.com finding visual C# 2005 Express(It's Free) and downloading it. I've created everything from an application that said Hello World, to something similar to pong, to a music player, to a prime&factor generator/checker/factorer. Hell with C++ and C# i've worked on an Starcraft editor.
The problem with Visual Studio C++ Express is that theres no resource editor and i've found no one I really like.
I really like C# because of the object orientedness I can pull off in it and little memory managment. While I like C++ because of the heavy memory management. C# is also a more rapid development application. When it comes to speed it's all good for both languages.
Yes Blizzards games are written in C++. It calls all(a lot anyway) functions to Storm.dll which calls on system specific functions(Mac or Windows).