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Truth and Science: One And The Same?

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Dre89

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If observations can't define reality, then there is no possible way to do it.
No one said that we could define it absolutely.

However we assume that we can through observations, which is a metaphysical assumption.
 
D

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Anything at all inferred from observation presupposes the metaphysical truth that observation correlates to reality.
However we assume that we can through observations, which is a metaphysical assumption.
Quite the subtle change of wording, especially since we're talking about truth.

I think we can safely say that in any system[1] we have to make certain assumptions[2] and from that we can derive truths[3]

[1]examples would be the physical universe, flat geometry, number theory, etc. It's anything bound by certain rules or definitions really
[2] In our physical universe, this would be what Dre. has stated, and in mathematical system these are called axioms. They are not to be proven (sometimes they even can't be), only to be taken for granted.
[3] this would be anything that logically follows from the given rules and axioms
 

Dre89

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I was inconsistent in my wording, but I'm just saying we have certain assumptions that precede science.
 

Mike

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Science cannot determine truth. Evidence in science can only disprove when used in evaluating a proposition (compare it to finding the equation of a hidden mathematical function, where evidence is analogous to finding a point consistent with that function). Because success in science is measured by an idea's predicative power, the closest science can come to determining truth is "way beyond reasonable doubt".
 

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the scientific method is a perfect way to test a theory. it doesn't prove anything by itself.
 

asianaussie

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The scientific method is hardly perfect in the same sense that human truth is imperfect.

We cannot verify a theory, only disprove it, so a 'test' is basically testing whether or not the theory is a possibility.
 

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Pythagoras made a theory about the relationship between sides of a triangle. We can never prove it right, but there has never been a case when it has been disproven. I would consider that proof.
 

Seikend

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Pythagoras made a theory about the relationship between sides of a triangle. We can never prove it right, but there has never been a case when it has been disproven. I would consider that proof.
Maths =/= Science

Maths can be proved because all the possible factors (axioms) were defined by humans. There isn't a possibility of an outside factor that we don't know about.

With science we don't have this luxury. We can observe an interaction, but we can never be certain that we know of all the factors affecting the interaction.
 

asianaussie

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Proofs in maths aren't the same as 'proof' given by the scientific method.

Seikend basically said it. Cause-and-effect relationships are what we attempt to infer through control of extraneous variables, and if good variable control shows a significant result, then we can safely say that the effect might be the result of the proposed cause. We can never say it for certain.
 

ballin4life

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Pythagoras made a theory about the relationship between sides of a triangle. We can never prove it right, but there has never been a case when it has been disproven. I would consider that proof.
What?

http://en.wikipedia.org/wiki/Pythagorean_theorem#Proofs

Also your logic is in general flawed:

I might say that all swans we have ever seen are white, and therefore all swans are white (there has never been a case where it has been disproven).

But then if someone finds a black swan, the statement "all swans are white" will be proven false. So it was never proven in the first place.
 
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Pythagoras made a theory about the relationship between sides of a triangle. We can never prove it right, but there has never been a case when it has been disproven. I would consider that proof.
not to get off-topic, but a "theorem" (such as the Pythagorean one) in math is something that has been proven.
 

Seikend

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I don't believe science and universal truth are the same at all.

Science is the observation and interpretation of cause and effect. However, we cannot be certain that there are universal influences that are outside of our understanding. Since our understanding of the universe is limited by what humans can experience, science attempts to create a model of the universe that is within these confines. Through history, as we've found different ways to observe and experience the universe (Microscopes, X-ray scanners etc.), we have been able to improve our understanding, and thus improve our model. However, I don't believe that we will ever be able to fully experience the universe. And we can certainly never be sure that we have fully experienced the universe. Through this, I conclude that science is not a universal truth, but a representation of it.

Science's goal is not the pursuit of this universal truth either. We don't create this model purely for the sake of knowledge. In the same way that mathematical problems can be solved through the use of axioms, science can solve real life problems through the use of our modelled universe.

For example, we have a model for how friction works. Based on this model, we can create things like ball bearings to reduce the effect of friction, improving efficiency of machinery. It doesn't matter if our model isn't entirely correct, as the conclusions we make from it work, and that's what matters. Ball bearings do reduce friction, whether that's due to forces and our model of friction, or magical faeries and pixie dust. Science has done it's job.

The goal of science is to solve real world problems, not the search for truth.
 

1048576

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The goal of science is to find truth. The goal of engineering is to solve real-world problems. The two are closely related though.

As we come closer and closer to "God's equation," our representation of the universe will approach reality to an arbitrary statistical likelihood.

Also, theories cannot be proven completely true, only proven false. But if you test them an arbitrary number of times, you can get a likelihood that a particular theory is true that approaches 1.
 

Solaris1110

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Science is looking for truth, but it cannot ever establish truth. It can only show untruths to be false. We think that things like gravity are "true" but someone could discover a situation tomorrow where gravity doesn't hold, and then gravity would be falsified.

The only truth is mathematics and logic.
Would you say mathematics is a universal truth then?
Either they're an intrinsic part of the universe, or the universe does not exist beyond the mind.
Mathematics and logic imply purity, but there is no such thing as purity in the universe (or at least, not in the way our mind could understand it). You might say "There are zero rubber ducks on my head" but how can you be so sure? 0.000000... 01% of a rubber duck is molecule x, and molecule x may also be present on your hand. You might then argue that rubber ducks are the sum of all it's parts, but then wouldn't any molecular scratch or grain of sand present on the duck render it no longer a duck?

Math and logic are created through the mind, but the mind itself is not in any way perfect or pure. The neurons, glia cells and other fatty cells that compose the brain are not perfect; they might have microscopic fissures here and there, or have damage from free radicals and other miscellaneous "noise".

With logic, you need to "draw a line" somewhere (to separate A from B, like to seperate "mental illness" from "not a mental illness"), and that's the problem. You cannot draw lines in the universe, because nothing is pure. You can build a calculator that calculates 1 + 1 in Minecraft, because the code within the game makes it possible. You might "draw the line" between two lines of code, one representing the color red and the other representing the color blue. But what would happen if you decided to punch your computer, and you happened to dent the electrical currents that brought forth the coding? Suddenly an 'outside factor' has broken the laws of the logic you have drawn. But it is not really an outside factor: is it just as much part of the universe as the electric currents in the computer were. The same analogy could be implied to the mind.

"Universal truth" is something I think the mind will never be able to understand, because it implies everything, (our five senses are the only window into this existance from which we can think and deal with information. we are finite, the universe isn't. but a finite number can still be a segment of an infinite number.)

and what Seikend said.
 

Mike

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I'm not quite sure what you're arguing. It might be because your last paragraph doesn't end with a complete sentence. Why do you claim the universe is not finite? What are you implying when you say, "Math and logic are created through the mind, but the mind itself is not in any way perfect or pure"? Basically, what is your point?
 

Solaris1110

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Thanks for bringing that up; I should have clarified it better as I got lost in my own
mess of words. So let's assume the universe is finite, and that at the bottom of our constanly expanding model of what makes up matter lies a fundamental building block. The obvious question would be: how did that building block come to exist? It's natural to assume that everthing must come from something else, and for that not to happen would violate our ability to make sense out of things.

As far as logic goes, coming from the mind, having something come from nothing isn't very logical. Yet it's obvious we exist, which means either there would HAVE to be something coming from nothing, or it would just be an infinite continuum of motion and energy. For the sake of, well, flow, I would personally choose the latter over the first. But who is anyone to know?

My point would be that universal truth itself cannot even be found, unless there is some magical way we can figure out how the universe itself came to be.
 

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The universe functions predictably therefore the universe follows laws. Because the universe follows such patterns, it can be understood. Not to say that it could be ever discovered what those laws actually are, but those laws could be understood if they were discovered.
 

Mike

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@Solaris1110: To clear something up, unintuitive and illogical are two very different things. Actually, a quantum fluctuation is the occurrence of "something from nothing".
 

Solaris1110

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Forgive me if i'm wrong, but aren't quantum fluctuations a result of the quantum vacuum (which obeys physical law) occasionally spewing out particles into being? (and then quickly dissolving back)

How is that 'something coming from nothing'?

Or, lets assume that the quantum vaccum = Nothing. If it's nothing, how can it spew particles into existance? If something was able to do that, it would have properties. If it has properties, then it wouldn't be nothing. Unless you can apply attributes to nothingness.
 

ballin4life

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The empty set, which is the mathematical equivalent of "nothing", has properties. It's perfectly reasonable for nothingness to have properties like "there is no object that is contained in nothing".
 

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But once "nothing" creates/releases/interacts with something, it ceases to be nothing and is then "unknown something that created/released/interacted with another thing".
 

Dre89

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Sveet and Solaris are right.

If it has a potency, or a form, it's something, not nothing.
 

ballin4life

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Mathematics and logic imply purity, but there is no such thing as purity in the universe (or at least, not in the way our mind could understand it). You might say "There are zero rubber ducks on my head" but how can you be so sure? 0.000000... 01% of a rubber duck is molecule x, and molecule x may also be present on your hand. You might then argue that rubber ducks are the sum of all it's parts, but then wouldn't any molecular scratch or grain of sand present on the duck render it no longer a duck?
I don't know what you mean by mathematics and logic imply purity. Also, I think mathematics and logic are independent form the universe.

On the rubber duck example: Your argument seems to imply that language is meaningless because we can't even define what a rubber duck is. There are some reasonable criteria to apply though. For one, an obvious necessary condition would be actually containing the molecule rubber (not just molecule x). But more obviously, a rubber duck should have the general shape and characteristics of a duck - a beak, wings, webbed feet, etc. Thus we can define a rubber duck without worrying about molecular scratches.

Math and logic are created through the mind, but the mind itself is not in any way perfect or pure. The neurons, glia cells and other fatty cells that compose the brain are not perfect; they might have microscopic fissures here and there, or have damage from free radicals and other miscellaneous "noise".
It is possible to make mistakes in one's math and logic, but this doesn't mean that they aren't objective truths (when done correctly of course).

With logic, you need to "draw a line" somewhere (to separate A from B, like to seperate "mental illness" from "not a mental illness"), and that's the problem. You cannot draw lines in the universe, because nothing is pure. You can build a calculator that calculates 1 + 1 in Minecraft, because the code within the game makes it possible. You might "draw the line" between two lines of code, one representing the color red and the other representing the color blue. But what would happen if you decided to punch your computer, and you happened to dent the electrical currents that brought forth the coding? Suddenly an 'outside factor' has broken the laws of the logic you have drawn. But it is not really an outside factor: is it just as much part of the universe as the electric currents in the computer were. The same analogy could be implied to the mind.
It's actually very easy to draw lines. They may be arbitrary lines, but they are lines nonetheless.

Just because you punch your computer and your code doesn't work, that doesn't mean that you haven't found some objective truths. If your logic would have worked, it is still objectively correct logic, but it was never executed in your program because you punched the computer.

Logical and mathematical truths don't become untrue just because I stop thinking about them.

"Universal truth" is something I think the mind will never be able to understand, because it implies everything, (our five senses are the only window into this existance from which we can think and deal with information. we are finite, the universe isn't. but a finite number can still be a segment of an infinite number.)

and what Seikend said.
No idea what it means to "imply everything", but the rest of this assumes that logic/math are tied to the universe, when they aren't. Our five senses don't have anything to do with the truth of mathematical propositions.
 

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I think mathematics and logic are independent form the universe.
Just this one thing I want to comment on. I think the concepts of logic (causality) and therefore mathematics are independent from the universe, but the actual instances are completely dependent on the universe.
 

Mike

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Forgive me if i'm wrong, but aren't quantum fluctuations a result of the quantum vacuum (which obeys physical law) occasionally spewing out particles into being? (and then quickly dissolving back)

How is that 'something coming from nothing'?
A quantum vacuum isn't actually an 'existing thing', it's a concept that describes the properties of a region in space. It is not the quantum vacuum that is creating particles, rather particles are coming in and out of existence in a space called a quantum vacuum.
 

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No idea what it means to "imply everything", but the rest of this assumes that logic/math are tied to the universe, when they aren't. Our five senses don't have anything to do with the truth of mathematical propositions.
only other part i disagreed with.

when he said "imply everything" he meant that there are worlds of interaction that don't register to our senses. Some of the things we have discovered such as radio waves and infrared give precedence to this idea. Your post seemed off topic.

edit-

A quantum vacuum isn't actually an 'existing thing', it's a concept that describes the properties of a region in space. It is not the quantum vacuum that is creating particles, rather particles are coming in and out of existence in a space called a quantum vacuum.
But it has a name and properties... the quantum vacuum is something even if it doesn't have mass.
 

Mike

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But it has a name and properties... the quantum vacuum is something even if it doesn't have mass.
Giving something a name does not suddenly make it exist. For example, 'nothing' is called 'nothing', but saying that it exists contradicts its very definition! Also, a quantum vacuum does not have any properties because it is not an existing thing; it is an abstract concept.

In science, something does not exist (i.e. is nothing) if it is not observable. The fact that previously unobservable things are popping into existence logically implies that something is coming from nothing.
 

Dre89

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But the fact this "space" can invoke existences means it has potency, making it a something.

You can't have a nothingness with a potency, because you can't have two types of nothingness. You can't have nothingness with a potency, and a nothingness without a potency.
 

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If you observe something interacting with another thing that counts as observing the something at least to the extent to know there is something there or something going on.
 

ballin4life

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Just this one thing I want to comment on. I think the concepts of logic (causality) and therefore mathematics are independent from the universe, but the actual instances are completely dependent on the universe.
I don't see causality as having anything to do with logic. Causality is a property of the universe.

And what do you mean by concepts vs actual instances?

My point about logic is that there is no universe where this statement is not true:

Men are mortal
Socrates is a man
Therefore Socrates is mortal

I would consider this an "actual instance" of logic but it is not dependent on the universe.
 

Mike

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But the fact this "space" can invoke existences means it has potency, making it a something.

You can't have a nothingness with a potency, because you can't have two types of nothingness. You can't have nothingness with a potency, and a nothingness without a potency.
Space is the medium in which quantum fluctuations are observed to occur. It doesn't necessarily invoke them.

@ballin4life: I think Sveet is referring to how a logical conclusion is made by arguing, "beCAUSE my premises are true, my conclusion is also true". This is entirely different from the scientific definition.
 

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A -> B is causality. A and B are just statements, ideas, isolated. Any interactions between them follow causal relationships.

http://en.wikipedia.org/wiki/Causality_(physics)
"Causality[1][2] describes the relationship between causes and effects, is fundamental to all natural science, especially physics, and has an analog in logic. It is also studied from the perspectives of philosophy, computer science, and statistics."
 

Solaris1110

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Men are mortal
Socrates is a man
Therefore Socrates is mortal

I would consider this an "actual instance" of logic but it is not dependent on the universe.
Wouldn't it be dependant on the universe in the sense that you need the language and meaning to form such statements in the first place, and that has to come from somewhere?



Logical and mathematical truths don't become untrue just because I stop thinking about them.
It doesn't become untrue, it just disappears. The entire thing is conceptualised with the mind in the first place, and once you stop thinking about it, it no longer exists. Like how you input numbers into a function and get a graph: as soon as you clear it, the graph disappears.


No idea what it means to "imply everything", but the rest of this assumes that logic/math are tied to the universe, when they aren't. Our five senses don't have anything to do with the truth of mathematical propositions.
They are tied to the universe in that people conceptualized it, and people are tied to the universe. Without our five senses we would be unable to invent numbers. We would need some way of gathering data from the environment and manipulating it, organizing it, etc.

On the rubber duck example: Your argument seems to imply that language is meaningless because we can't even define what a rubber duck is. There are some reasonable criteria to apply though. For one, an obvious necessary condition would be actually containing the molecule rubber (not just molecule x). But more obviously, a rubber duck should have the general shape and characteristics of a duck - a beak, wings, webbed feet, etc. Thus we can define a rubber duck without worrying about molecular scratches.
Yeah, I would be implying that language is meaningless as a medium for perfect logic, since it is not absolute. But that's what math is for. Language is not synced with a mathematical framework but constantly fluctuates with context and the people who use it. The purpose of language is to communicate; it comes from people, and people come from the universe. A dictionary might help capture a loose framework around language, but to make an absolute framework around it would be to invent the universe. Otherwise, you would never completely entangle every change in meaning as time passes.

As for conditions, how could you define a rubber molecule? You might define it's chemical structure and mass, but how do you know the individual components of the chemical structure are absolute, and cannot be broken down further? Would you not have to start at the bottom up in order to define parameters?

How could you define general characteristics of a duck? You would still need to define those general characteristics from the bottom up, because the perception of a rubber duck is subjective, and in order to mathematically calculate one's opinion on whether something is a duck or not, you would need to invent the universe. "Reasonable criteria" is only reasonable because we already know what beaks, wings and webbed feet look like. But starting from the bottom up, there would be no human perception.
Just because you punch your computer and your code doesn't work, that doesn't mean that you haven't found some objective truths. If your logic would have worked, it is still objectively correct logic, but it was never executed in your program because you punched the computer.
So you would have to compartmentalize the scope of the logic in order for it to be true? That is, you need to draw a line somewhere between what the computer is supposed to do and what it isn't, such as when being damaged? My thought is that nothing in the universe can be isolated and still run on it's own; it's existance is one with the universe as a whole, and is inseparable. With this being said, wouldn't logic have to include everything? This could be where my definition of logic is incorrect though.

It's actually very easy to draw lines. They may be arbitrary lines, but they are lines nonetheless.
I'm talking about absolute lines that perfectly seperate two things from eachother. Then again, if everything acts as a unified whole, it would be like trying to seperate the color white from the color white.
 

ballin4life

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A -> B is causality. A and B are just statements, ideas, isolated. Any interactions between them follow causal relationships.
Not really, there are tons of different logical operators besides "->".

http://en.wikipedia.org/wiki/Logical_operator

http://en.wikipedia.org/wiki/Causality_(physics)
"Causality[1][2] describes the relationship between causes and effects, is fundamental to all natural science, especially physics, and has an analog in logic. It is also studied from the perspectives of philosophy, computer science, and statistics."
Logical implications are not the same thing as physical causality.

Causality can be looked at as an instance of logical implication, but implications are really much broader.

Logically, "Paris is in Europe" -> "New York is in America" is a true implication, although we wouldn't really say that the former caused the latter.

But this is all pointless semantics. I originally wanted to know what you meant by the "concepts" and the "actual instances" of logic.
 

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But this is all pointless semantics.
I agree. You guys >>>> me in semantics arguing.

I originally wanted to know what you meant by the "concepts" and the "actual instances" of logic.
is that referencing this post?
I think the concepts of logic (causality) and therefore mathematics are independent from the universe, but the actual instances are completely dependent on the universe.
The concepts, as in the fact that causality, math, logic, ect follow certain structured rules. These rules are universal in the sense that any time things have relationships and interactions, there is a structured way to interpret and explain them.

This idea is independent of any specific instance of itself like 2+2=4 and A->B = ~AvB (though those are difficult to imagine to be false, i hope you understand what i'm trying to say).
 
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