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Are maths and science the same thing? (Read 24275 times)
freediver
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Re: Are maths and science the same thing?
Reply #60 - Apr 20th, 2007 at 11:35am
 
You tell me the simply studying science is not being engaged in science until you do an experiment?

Not exactly. There is a lot to science before you get to the stage of doing an experiment. My definition does not preclude this. It just implies that when you study science, you stick to scientific theories, rather than say mysticism. Otherwise you are studying something else. It does define a field of study in the sense that science is the knowledge that is produced via the scientific method. Studying vs doing just distuinguishes whether you are contributing new knowledge. The distinction I drew is that manipulating a theory via words is language and via equations is maths, but understanding the concept is science.

You dismiss Diamonds work as history

Saying something is history is not dismissing it. Science is not the only form of knowledge or the only branch of philosophy. It is a different kind, that is all. The more you restrict a field of study by raising the bar for what counts as satisfactory 'evidence' the narrower you make the scope, but you end up with more reliable outcomes. I think there is a clear spectrum here with maths at one end, science in the middle and history at the other.

You dismiss Diamonds work as history, not science, and yet he is a biologist and his books are entirely scientific, using very similar methods to those used in evolutionary study

That sentence would make more sense if you used that term 'natural history,' to distuinguish it from the scientific study of natural selection.

methods considered by the scientific community to be valid science

That sentence would have more meaning if you specificed the methods rather than just associating them with certain fields.

Also you have compared your high school text to the ones I have been issued at university, I'll just let that speak for itself.

It doesn't say much if thsoe books don't contradict the high school textbooks. They just avoid the issue, don't they?

Thought experiment is maths as sense has defined maths

No it isn't. It requires people to think about what would happen under natural laws. If it were just maths then there would be no need for a thought experiment. You would just solve the equations. A thought experiment requires people to consider what would actually happen, not just solve an equation. That is what distuinguishes it from maths. When Einstein did his initial thought experiments he completely avoided equations and focused on scientific theory.

are you familiar with the Heisenburg uncertainty principle? It more or less says that all scientific observations cannot accurately describe nature since observing nature influences what is observed.

That is a misapplication of Heisenberg's principle.

Are you familiar with Schrodingers cat? Or Maxwells demon? These are completely non testable experiments because they rely on purely imagined scenarios that could never exist.

Right, they are thought experiments. How much maths is there in deciding whether the cat dies?

The known scientific theories they were based on are only human derived laws that approximate nature, they do not accurately describe it, and thus they are defined by the same description as accurately defines maths.

No, that is what spearates them from maths. Maths is true. Science is an approximation. Also saying that they do not accurately describe nature is meaningless. It's like arguing a piece of string is short rather than long.

And yet everyone considers these to be important scientific experiments?

They are thought experiments designed to teach the concept. They are important edcational tools. For the practicing scientists, the important experiments are the ones that actually attempt to falsify the theories.

To add to this, can you name for me one mathematical field that does not attempt in some way to describe nature?

None of them do. I have already addressed this issue in how mathematicians stick to 'useful' maths. The maths itself does not describe nature anymore than the english language does. You use it as a tool for communication.

There is no reason why new scientific theories won't be 'stumbled upon' in the future

Right, but scientists tend to stumble upon them while engaged in the scientific method. As Kuhn pointed out, theories do not arise from people 'stmbling upon them.' They arise from repeated attempts to figure out why nature does not appear to fit with theory. Even stumbling upon a disagreement between nature and theory itself is usually meaningless as it is discarded as an error on the part of the scientist. It is only when they repeatedly fail to correct that error in their experiments that they start considering alternative theories.

indeed, many scientific theories are stumbled upon all the time, take the discovery of penicillin

This backs up my view. My definition of science does not dictate how theories are developed, only how they are discarded. Furthermore penicillan is not a theory.
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Re: Are maths and science the same thing?
Reply #61 - Apr 20th, 2007 at 11:37am
 
In some fields, such as chemistry and molecular biology, replicated controlled experiments in the laboratory are feasible and provide by far the most reliable means to acquire knowledge...

I address this issue of the level of control in an experiment in the article on the scientific method. It agrees with what Diamond says:

http://www.ozpolitic.com/evolution/science-methodology.html

Oh? Then what does this mean: "Evolution should not be taught in high school science classes because it is not a scientific theory."

Well for one, it does not mean we shouldn't study evolution. I worded it very carefully.

Christianity has made repeated attempts to stifle science as sense accurately points out.

I am not trying to stifle science. I am promoting it.

"Most famous early scientists were Christians seeking to know God through His work" so what then of the ancient greeks?

Drunk philosophers stumbling upon the obvious beginnings of the various branches of knowledge. They made far more progress in other branches than in science.

I mean, we haven't even touched on the Indians, Persians or Chinese.

I have. As I said, lack of the scientific method is what stalled their development of 'science' in it's infancy.

My last post about Christianity stifling science was not controvertial. It was a simple fact acknowledge by all reasonable men.

I doubt that I disagree with a few specific facts. But you are wrong about the general trends. People like to play up the conflict.
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Re: Are maths and science the same thing?
Reply #62 - Apr 20th, 2007 at 12:54pm
 
from fd " People like to play up the conflict. "

This is my last comment. So, the conflict between Galileo and the Church didn't happen. People just like to play it up.

Go and say your prayers. You need help from somewhere.
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Re: Are maths and science the same thing?
Reply #63 - Apr 20th, 2007 at 1:57pm
 
No, but it is not an indication of a pattern. The bulk of the historical evidence points the other way. The Galileo thing gets attention because it was unusual, not because it was the norm. It's like saying that in general, German people like to gas jews.
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Re: Are maths and science the same thing?
Reply #64 - Apr 20th, 2007 at 2:13pm
 
freediver wrote on Apr 20th, 2007 at 11:35am:
There is a lot to science before you get to the stage of doing an experiment. My definition does not preclude this. It just implies that when you study science, you stick to scientific theories, rather than say mysticism.

Exactly, and there are more scientific methods than what you detail. I have never said anything about studying mysticism.

Quote:
You dismiss Diamonds work as history

Saying something is history is not dismissing it.

You dismissed him though he were not a scientist, and you also say studying history is not scientific, yet history is scientific and Diamond is a scientist.

Quote:
You dismiss Diamonds work as history, not science, and yet he is a biologist and his books are entirely scientific, using very similar methods to those used in evolutionary study

That sentence would make more sense if you used that term 'natural history,' to distuinguish it from the scientific study of natural selection.

There is no way to distinguish natural selection from science. It makes no difference if you call it history, science is science, the methods through which history is studied are scientific, I would go so far as to say the entire field of history is within the field of science.

Quote:
methods considered by the scientific community to be valid science

That sentence would have more meaning if you specificed the methods rather than just associating them with certain fields.

I did through my quote of Diamond, in particular specifying between the empirical method of testing which you say is the only scientific method, and the observational comparative methods employed by historians, paleontologists and all the others I listed.

Quote:
Also you have compared your high school text to the ones I have been issued at university, I'll just let that speak for itself.

It doesn't say much if thsoe books don't contradict the high school textbooks. They just avoid the issue, don't they?

No, they contradict your definition countless times.

Quote:
No it isn't. It requires people to think about what would happen under natural laws.

For one, you fail to demonstrate a single area of maths that is not attempting to describe natural laws, and for another, how is the process of thought experiment not setting up rules and axioms and then defining things within those rules/axioms?

Quote:
are you familiar with the Heisenburg uncertainty principle? It more or less says that all scientific observations cannot accurately describe nature since observing nature influences what is observed.

That is a misapplication of Heisenberg's principle.

So you aren't that familiar with it then? This is exactly what the uncertainty principle indicates. Go read up on QM and many new theories that are emerging regarding the inability of humans to actually perceive the reality of nature.

Quote:
Are you familiar with Schrodingers cat? Or Maxwells demon? These are completely non testable experiments because they rely on purely imagined scenarios that could never exist.

Right, they are thought experiments. How much maths is there in deciding whether the cat dies?

Isn't maths just setting up a set of rules and then defining and testing logical assertions within that set of rules? This is exactly what a though experiment is.

Quote:
They are thought experiments designed to teach the concept. They are important edcational tools. For the practicing scientists, the important experiments are the ones that actually attempt to falsify the theories.

They are important scientific tools. There is more to science than null hypotheses and experiment, this is what you fail to grasp.

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To add to this, can you name for me one mathematical field that does not attempt in some way to describe nature?

None of them do.

Geometry? Calculus? Algebra? Statistics? Trigonometry, even Topology? Every single area of maths is concerned with describing nature, the ones that are not are simply not maths. Maths has to be absolute, the only way to do this is to limit it to the field of the natural.

Quote:
indeed, many scientific theories are stumbled upon all the time, take the discovery of penicillin

This backs up my view. My definition of science does not dictate how theories are developed, only how they are discarded. Furthermore penicillan is not a theory.

There you go again! So a scientific discovery is not science because it is not a theory?
Tell me, are you a scientist? What are your credentials? Have you even studied in the field beyond high school? I have given demonstrations of scientists that disagree with your view, you give me nothing.

You have this idea you want to share with the world, but you fail to find any evidence to back up your idea, I have repeatedly used quotes and examples to back up the claims I make and yet you use not one. Instead you simply tell me you have researched, not good enough buddy, not even close. How can you expect people to take your ideas on board if you cannot even demonstrate that you have researched it? Give me one quote from a scientist that agrees with you on evolution, give me one quote from a scientist that will tell you there is a clear and distinct definition of what science is. You will not find them, because there is NO CLEAR definition of what science is.
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Re: Are maths and science the same thing?
Reply #65 - Apr 20th, 2007 at 2:29pm
 
I have never said anything about studying mysticism.

You haven't because you haven't given a good definition of science. The vague one you gave earlier appears to include mysticism.

yet history is scientific and Diamond is a sci

Here you go again, confusing the two fields just because an individual engages in both. Remember the hammer and screwdriver?

There is no way to distinguish natural selection from science.

that's what I was saying.

methods through which history is studied are scientific

You can't do an experiment to determine the truth about what happened in the past.

I would go so far as to say the entire field of history is within the field of science.

Yet you continue to use argumentum ad populum?

and the observational comparative methods employed by historians, paleontologists and all the others I listed.

Diamond referred to a natural experiment as the observational comparitive method. This is not a typical tool for historians and its use is fraught with danger for them.

So you aren't that familiar with it then? This is exactly what the uncertainty principle indicates.

No it doesn't.

Isn't maths just setting up a set of rules and then defining and testing logical assertions within that set of rules? This is exactly what a though experiment is.

No it isn't. The set of rules on which a thought experiment are based are scientific theories, which do not have the same logical basis as maths.

There is more to science than null hypotheses and experiment, this is what you fail to grasp.

I didn't say this wasn't the case.

Every single area of maths is concerned with describing nature

As sense pointed out to you, maths can be used to help describe nature, but alone it only describes itself.

So a scientific discovery is not science because it is not a theory?

I didn't say that. Observation forms part of the scientific method.

I have given demonstrations of scientists that disagree with your view, you give me nothing.

Your demonstrations mostly indicate that you do not understand what I am saying.

Instead you simply tell me you have researched, not good enough buddy

No, my views are all based on common knowledge. I am not using my credentials to back up my claims. I am giving them a sound philosophical basis.
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Re: Are maths and science the same thing?
Reply #66 - Apr 20th, 2007 at 3:43pm
 
freediver wrote on Apr 20th, 2007 at 2:29pm:
No, my views are all based on common knowledge. I am not using my credentials to back up my claims. I am giving them a sound philosophical basis.


And this is why you fail, and you will always fail. You are a whining crank with nothing to back up your nonsense other than your own slanted opinion.

You are wrong, there is nothing more to it, your views are based on your interpretation of common knowledge, one that scientists do not agree with. You are not a scientist, this much is clear, and as such you have no place to dictate what science is or is not. So long as you continue to say evolution is not science then you fail to understand what both evolution and science really are.
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Re: Are maths and science the same thing?
Reply #67 - Apr 20th, 2007 at 3:54pm
 
You are wrong, there is nothing more to it, your views are based on your interpretation of common knowledge, one that scientists do not agree with.

But scientists do agree with it. And besides, argumentum ad populum is a logical fallacy.

You are not a scientist, this much is clear, and as such you have no place to dictate what science is or is not.

Actually, that would fall to philosophers, not scientists.
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Re: Are maths and science the same thing?
Reply #68 - Apr 20th, 2007 at 4:37pm
 
Quote:
You can't do an experiment to determine the truth about what happened in the past.

So how do climate scientists do their work? Climate models are almost entirely based on empirical tests of what happened in the past. Is climate change no longer a scientific theory? Paleontologists, how do they conduct scientific work if you simply cannot study the past scientifically? Diamond uses scientific methods throughout his book 'Collapse' to study the truth about the past, or at least propose scientific theories about it, he cites dozens of other scientists that have done the same throughout. You deny mountains of scientific study the title of science if you limit yourself by this stupid remark.

Diamond disagrees with you, the quote again: "science is something much broader: the acquisition of reliable knowledge about the world."

Quote:
But scientists do agree with it. And besides, argumentum ad populum is a logical fallacy.

It is kind of a strong argument when you fail to produce one single scientist that agrees with you, you can say they agree with you all you like, but without any proof you are just beating your chest...well...beating something anyway. If my saying the community thinks you are wrong is logical fallacy, then what on earth is your statement that your theory does not require proof?

Quote:
Actually, that would fall to philosophers, not scientists.

So the definition of what is the work of scientists is now in the hands of a bunch of whining liberal arts types, not the scientists themselves? Good one mate, you clearly demonstrate where your head is located by saying this.

You whine about the fact that nobody respects philosophy any more, but you miss the fact that true philosophy has been absorbed into all other fields of study, scientists philosophise about their science as do mathematicians and politicians in their respective fields. Those who study philosophy as a pure subject these days are simply the dregs, the ones who's opinions do not matter any more. Because fields of study are defined by the proponents of those fields of study, not by idiots with poor web design skills who fancy themselves philosophers.

Leave the science to the scientists freediver. You just keep on sniffing those farts...
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Re: Are maths and science the same thing?
Reply #69 - Apr 20th, 2007 at 4:48pm
 
So how do climate scientists do their work?

They use a mixture of tools.

Climate models are almost entirely based on empirical tests of what happened in the past.

No they aren't. For starters, the tests aren't empirical.

climate change no longer a scientific theory?

Climate change is a scientific theory.

Paleontologists, how do they conduct scientific work if you simply cannot study the past scientifically?

I guess they don't.

Diamond uses scientific methods throughout his book 'Collapse' to study the truth about the past

No he doesn't. He mostly uses analysis techniques typical to historians.

You deny mountains of scientific study the title of science if you limit yourself by this stupid remark.

I deny nothing that is generally regarded as 'modern technology.' Apart from that there are a few bits and pieces that are excluded. Diamond is a classic case of someone who skips between fields. Like switching between the hammer and the screwdriver. You just have to learn tos ee each for what they are.

science is something much broader: the acquisition of reliable knowledge about the world

I agree with that. The method I defined is the only way to aquire reliable knowledge about the world.

then what on earth is your statement that your theory does not require proof?

It is a question of philosophy. It doesn't even make sense to demand proof.

So the definition of what is the work of scientists is now in the hands of a bunch of whining liberal arts types

You do not understand philosophy. Kuhn and Gould were philosophers.

Would you ask a biologist to define physics?

You whine about the fact that nobody respects philosophy any more, but you miss the fact that true philosophy has been absorbed into all other fields of study, scientists philosophise about their science as do mathematicians and politicians in their respective fields.

I haven't missed that at all, except to say it has been absorbed by the people, not the fields.
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Re: Are maths and science the same thing?
Reply #70 - Apr 20th, 2007 at 5:21pm
 
Science is neither the hammer nor the screwdriver, it is what the man holding both the hammer and the screwdriver does with those tools.

Paleontologists aren't scientists? Glad you finally coughed it up.

Climate models are based for a large part on ice cores that are used to accurately study the past, is that method unscientific? Tree ring sampling, used to study accurately what happened in the past. Is that not science?

This is just becoming laughable freediver, Paleontologists not scientists? Grin Grin

You are no philosopher, you are no scientist, you are some guy with an ugly website and some crap ideas that nobody agrees with. Good day to you.
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Re: Are maths and science the same thing?
Reply #71 - Apr 20th, 2007 at 5:28pm
 
Paleontologists aren't scientists? Glad you finally coughed it up.

It would be ahrd to say that they are scientists while claiming that evolution is not a scientific theory. However, they still can be scientists. Science is a methodology remember, not a field of study. It would be better to say that paleontology is not science, to the extent it does not employ the scientific method.

Climate models are based for a large part on ice cores that are used to accurately study the past, is that method unscientific?

Actually, no they aren't. You wouldn't be able to tell what was the cart and what was the horse from those samples. They can however be used to test the validity of the models, given that we actually want to avoid doing experiments on the atmosphere.
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Re: Are maths and science the same thing?
Reply #72 - Apr 21st, 2007 at 5:00am
 

from fd " People like to play up the conflict. "
No only freediver does that.


"Furthermore penicillan is not a theory."

Yes, it was when it was being invented.

Evolution is diffently a theory. Unless you were there when everything came about. And it being a theory it should be taught in science I'm not sure about creation since it is could be consider too religious. As for  intelligent design toss it.
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Re: Are maths and science the same thing?
Reply #73 - Apr 23rd, 2007 at 9:17am
 
No only freediver does that.

The evolution vs creationism and ID debates in the US are played up by those eho enjoy the drama, but they achieve nothing. A proper understanding of the philosophical context will put an end to much of the pointless debate.

Yes, it was when it was being invented.

No, the theory was that a certain organism could achieve something useful. The organism iteslef is an organism, not a theory.

And it being a theory it should be taught in science

ID is also a theory. Does that mean it should be taught in science?
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Re: Are maths and science the same thing?
Reply #74 - Apr 23rd, 2007 at 9:26am
 
The following quote is from Peter Jay, in "The Wealth of Man," 1st edition, 2000, introduction page XXIII, The Task Defined. It highlights the fundamental qualitative difference between history and science, why science cannot be apllied to historical questions, and why the methods used by historians are not as reliable as the modern scientific method. This is not an attempt to define science or history, it is just an attempt to put his work in the proper philosophical context in a way that is familiar to scientists, historians and economists.

Historians will never become pure social scientists because the need for narrative, the complexity of the matter they study and the impossibility of repeatable experiment all ensure that the human story will never be finally boiled down to a finite list of stable laws.

also, earlier in the section:

"Cultural factors" may be decisive, but it is hard to prove them, and nasty prejudices may lurk in their undergrowth camouflaged in respectabel languge.
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