Originally posted by fluid phil
There is no mathematics floating around in the universe. It is a mental creation of man.
That is debatable within philosophy of mathematics. And, quite frankly, it is a very hard position to justify. There are mathematicians who espouse it, of course (they're usually called \"constructivists\") but they are a very small minority. You might be interested in reading about constructivism and the inherent difficulties with seeing mathematics as a mental creation of man.
Your admittance that you have difficulty understanding math coupled with your brazen acceptance of constructivism reveals that you are arguing from ignorance. This is what I'm trying to help you with: not arguing from ignorance. There's nothing contemptible about constructivism. But your advocacy of it in a debate with someone is dishonest, not just to me and other members of this forum, but to yourself.
A star doesn't get up in morning and think \"Boy, I've got a big day ahead of me pumping out energy into the cosmos. I better start doing the equations to convert hydrogen to helium\"[/b]
What does \"doing equations\" mean? Do you think it means calculation? If so, you have a very VERY common misconception about mathematics. It's most likely no fault of your own, but of the way mathematics was taught to you. I can't overstate how our school systems suck so badly.
The misconception is that calculation equals mathematics. This misconception is reinforced because when we go to \"math\" class, and we are assigned \"math\" homework, that is largely about calculations. The truth of the matter is that calculation is something you do with the use of mathematics.
Do you wonder why you had to anthropomorphize something in order to make your point? I think that shows you are at least able to understand. Your anthropomorphization of stars and then your rejection of the anthropomorphization of stars is completely meaningless.
Just to give you a clue into the silliness, here's a look into how I read your statement:
\"Hey Ex Nine. Stars don't think, speak, or get up in the morning, and they don't go to school to study math or physics.\"
\"Yeah, no shit, phil.\"
It just does what it does.[/b]
Obviously.
The laws of science are only OUR description of what the universe is upto. They are our attempt to master the forces of the cosmos. But they are not reality itself. Often, and this is the brilliance of science, we realise in certain conditions eg. very big or very small, our descriptions of that reality are no longer suitable.....[/b]
They are no longer sufficient.
That's so important. Science is empirical. Old descriptions don't just disappear. Newtonian mechanics is just as true today as it was hundreds of years ago. It's just not sufficient for explaining the whole of reality.
Science is not about finding one description for everything. Despite what you may think about a physical \"theory of everything,\" physics won't end after that is complete. And with no testable predictions in sight for any theory of everything, that might not happen for a long time anyways.
... and someone creates a whole new set of laws such as Einsteins relativity theroy. Its the same way people create new phrases in English to describe a new situation more accurately or with more impact.[/b]
Thinking like that will definitely hurt your ability to understand mathematics.
And you misunderstand relativity. Einstein's new laws had to be intertwined and unified with Newtonian mechanics. If you don't understand Newtonian mechanics you will never understand general relativity.
And it's funny because I can imagine Einstein suppressing the want to kick your ass for trivializing general relativity like that. General relativity is so complicated, I seriously question whether or not you will learn it in your entire lifetime. The dude worked on it for 10 years, doing nothing else, after he already formulated rules for special relativity.
I'm going to show my ignorance here, but don't they sometimes fudge equations by adding in 'constants' to make the results work?[/b]
No, mathematicians don't \"fudge\" constants. There are only a few mathematical constants, like pi, and those have the same value on alien planets. The ratio of the circumference of a circle to its diameter will always be the same. And that's not a statement of faith or belief. That can be rigorously proven.
Physicists fudge constants, though. Are you suggesting there might be something wrong with that? It's incredibly useful as part of the process. Solving equations by introducing constants is taught in the first chapter of the physics textbook I'm reading now, actually.
Without Planck's constant, for instance, there never would have been quantum mechanics. Without Newton's Gravitational constant, we wouldn't be able to measure the mass of the Earth.
This is one of the reasons why it's important to understand the mathematics of physics in order to understand physics.
And doesn't the big break throughs in physics go hand in hand with new forms of mathematics such as differential equations.[/b]
Not always, no. There are plenty of topics in mathematics that are entirely useless in physics. Actually a surprisingly small percentage of the ideas in mathematics are used in physics.
Its like, after the physicist has looked at things in a new way, the language is no longer adequate to say what he wants to say so he creates new grammatical techniques. The maths of today is a lot different than the what the Greeks were using all that time ago. Its evolving all the time, just like all languages.[/b]
No, that's not really true either. Mathematics evolves by building on itself with rigorous foundations. If something works it stays forever. If something doesn't work it will probably stay around until someone disproves it or makes it work. Other languages evolve through a complex process that involves discarding old conventions and accepting new ones. We still use a great deal of the same things that the Greeks did. The Pythagroean theorem is thousands of years old. It's objective truth. No matter how you write it, it's immortal.
I'll finish with explaining another misconception about mathematics. This is one I didn't realize until a couple years ago. When I did calculations in school I did them very quickly, practically without thinking. I was yelled at by my teacher all the time to "show my work," and I wanted to tell her to shove it up her fat ass. Over time I developed an attachment between the way mathematics looks and how it works. Which is to say I couldn't distinguish between its notation and its rules.
That's a recipe for trouble, because mathematical notation is used inconsistently, meaning that things like parentheses, lines, and symbols can all mean different things depending how someone is using them. This is a great barrier to learning mathematics, in my opinion. There is no central authority for the correct use of notation.
It's the notation that has evolved, phil. Not the concepts. Musical notation has changed over time too, but not the music.
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