philosophy of science?

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Does math exist independent of the human mind?

Do the laws of nature exist independent of the human mind?

Do they have extramental reality? (not counting the God’s mind)

THANKS!
 
Yes.

Our knowledge of things corresponds with the way things really are in their natures. When we come to know something universal, we are abstracting that knowledge from our sense data, we are not creating the knowledge.

Something like math, or more simply number, doesn’t have a substantial existence on its own (which is what Plato erroneously thought), but it does have a real accidental existence in things.
 
The philosophy of hard sciences is scientific empiricism. Scientific empiricism as philosophy is a kind of epistemological theory of truth. Science seeks the truth about the nature of objects. It is limited to the natural processes among objects that can be demonstrated and verified by experiments.

Science does not need a definite theory of mind, or a definite statement of metaphysics in order to accomplish their empirical demonstrations. There are many people on the net who would claim that all scientists agree with their favorite theory of mind, or their particular metaphysical outlook.

Logics, which are actually different kinds of mathematics, are products of language. Most kinds of logic have no relation at all to the real world, very few kinds of logic find application in real world problems. Every kind of logic has limits and is incomplete, which is explained by the incompleteness theorem.

All logics are mind games, and science only uses logic to construct models. A model must be verified by experiment. So, it is human experience that affirms or denies the validity of scientific theory. That is why it is empirical, science is based on experience and not the mind alone…
 
Katholish

What is meant by “real accidental existence in things.”

Thanks!
 
geometer

Thanks!

Do the laws of nature and mathematics exist outside the human mind?

I am only looking for an answer.

I am not looking for a discussion, if that helps.

Again, in your judgment, do the laws of nature exist outside the human mind?

Or, if there were no humans, would the laws of nature or math exist?

Again, thanks!
 
geometer

Thanks!

Do the laws of nature and mathematics exist outside the human mind?
No I don’t believe they do. The ones that we have seem to be very workable, but we don’t know that any of them is complete. Newton’s law of gravity is a simple example. It was very workable in predicting the orbits of the known planets, with the exception of Mercury. It wasn’t until Einstien that it was modified so that the orbit of Mercury could be described.

We don’t know right now whether it will need to be improved again. There have been recent anomalies in the measurement of gravity in deep earth wells. So, it may be that further study will reveal a slightly different gravitational model, or possibly the model of the earths mass distribution may need to be updated.
 
Katholish

What is meant by “real accidental existence in things.”

Thanks!
In trying to answer that question, I realize that perhaps accidental is not the most correct term. Perhaps I should just leave it out altogether and simply say real existence in things. The laws or truths about nature are not objects that you can see or touch–they are not substances, but they are real and are true about nature whether we realize that or not.

Concrete example: The internal angles of a triangle equal 180 degrees. If all mankind died tomarrow, this would still be true. It is part of the very nature of what it is to be a triangle.
 
The laws or truths about nature are not objects that you can see or touch–they are not substances, but they are real and are true about nature whether we realize that or not.

Concrete example: The internal angles of a triangle equal 180 degrees. If all mankind died tomarrow, this would still be true. It is part of the very nature of what it is to be a triangle.
The sum of the angles of a triangle are equal to 180 degrees according to the axioms of plane geometry. It is true enough because that deduction can be clearly established in plane geometry. However, we can have very different results in spherical geometry, which is founded on different axioms. The angles of a spherical triangle are always greater than 180 degrees. Spherical triangles have a sum of angles that lies between 180 and 540 degrees.

Triangles are pure mental constructs. Most people believe that something that is real must be more than a mental object.

If plane geometry is what is being considered then triangles can only have a sum of angles equal to 180 degrees, but that truth is in the axioms, and axioms are purely ideas.

A scientist has said that it seems completely unreasonable that our mathematics can describe physics so well. I think its a miracle to discover axioms that are useful.

Somehow the axioms that we have discovered are understandable. So it seems our minds were designed to discover and recognize them…
 
Does math exist independent of the human mind?
“As far as the laws of mathematics refer to reality, they are not certain; and as far as they are certain, they do not refer to reality.” Einstein

Here is his case for that view, and his answer to your question: www-groups.dcs.st-and.ac.uk/~history/Extras/Einstein_geometry.html

I know know what it could mean for, say, the distributive property to exist without any minds to hold that idea. Mathematics is a human invention. It is interesting how such a product of human minds is so well-applicable to the physical world.

Best,
Leela
 
Katholish

What is meant by “real accidental existence in things.”

Thanks!
This simply means, that a characteristic exists in a thing, such as “yellow” in a Canary, but, it is not essential to the nature or existence of the thing. A Canary can be another color and still be a Canary. But, a man cannot be anything except a “rational animal”, for example, or, “two horses” cannot be three horses, or, one horse.

jd
 
geometer

Thanks!

Do the laws of nature and mathematics exist outside the human mind?

I am only looking for an answer.

I am not looking for a discussion, if that helps.

Again, in your judgment, do the laws of nature exist outside the human mind?

Or, if there were no humans, would the laws of nature or math exist?

Again, thanks!
My answer to this would be, “yes.” That a rational mind finds such laws is irrelevant. The laws of nature would exist, but, except for God, there wouldn’t be anyone around to care. For example, 1,000 years ago, the Laws of Thermodynamics were still exerting their effects on the universe, but, no one was capable of knowing it.

jd
 
My answer to this would be, “yes.” That a rational mind finds such laws is irrelevant. The laws of nature would exist, but, except for God, there wouldn’t be anyone around to care. For example, 1,000 years ago, the Laws of Thermodynamics were still exerting their effects on the universe, but, no one was capable of knowing it.
This makes me wonder what you could possibly mean when you say something exists. In what sense could it be said that the laws of thermodynamics existed before there were any human minds to hold the idea? I think I’m hearing the sound of one hand clapping.

It seems to me that whatever it is that the laws of thermodynamics can be said to apply to must have existed before humans could come up with the laws that describe it. But then, that itself is a human idea. The idea that a universe must have existed before we came along to name it “the universe” is a good idea, but the idea that the universe existed before us is still just an idea.

Best,
Leela
 
This makes me wonder what you could possibly mean when you say something exists. In what sense could it be said that the laws of thermodynamics existed before there were any human minds to hold the idea? I think I’m hearing the sound of one hand clapping.

It seems to me that whatever it is that the laws of thermodynamics can be said to apply to must have existed before humans could come up with the laws that describe it. But then, that itself is a human idea. The idea that a universe must have existed before we came along to name it “the universe” is a good idea, but the idea that the universe existed before us is still just an idea.

Best,
Leela
Not to overly confuse, but humans are the universe. We don’t inhabit the Earth, for example, we are actually it. We’re not all of it, but we are it.
 
This makes me wonder what you could possibly mean when you say something exists. In what sense could it be said that the laws of thermodynamics existed before there were any human minds to hold the idea? I think I’m hearing the sound of one hand clapping.

It seems to me that whatever it is that the laws of thermodynamics can be said to apply to must have existed before humans could come up with the laws that describe it. But then, that itself is a human idea. The idea that a universe must have existed before we came along to name it “the universe” is a good idea, but the idea that the universe existed before us is still just an idea.

Best,
Leela
Oh, you’re so nit-picky! OK, the the thing existed before someone first defined it. I thought that’s what he was asking.

I assume you’re not denying objective physical reality, are you? I also assume you’re not denying objective physical relations, are you?

jd
 
Not to overly confuse, but humans are the universe. We don’t inhabit the Earth, for example, we are actually it. We’re not all of it, but we are it.
That’s an interesting way to put it. In that sense, I concur.

jd
 
“Man is only a reed, the weakest in nature, but he is a thinking reed… Even if the universe should crush him, man would still be nobler than that which kills him, because he knows he dies; and he knows the advantage the universe has over him… All our dignity, then, consists in thought.” Blaise Pascal in Pensees
 
I want to thank all who are helping, thanks!

I am aware that the issues are most complex.

Are there some scientists who believe that the laws of nature operate by or through math?

Do the leading scientists believe that math runs the physical laws the universe(s)?

Is math the “engine” of the universe? Or, do we describe the universe with math?

Again, I want to thank all of you for helping! Thanks!
 
I know that the issues are many.

What is the nature of the physical laws of the universe?
 
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