It is primary - it generates those regularities.But that is all secondary to the underlying maths which drive the observable regularities in natural growth patterns.
Or as Einstein put it: God integrates empirically.
It is primary - it generates those regularities.But that is all secondary to the underlying maths which drive the observable regularities in natural growth patterns.
You can click on ''watch thread'' and I think it serves that purpose? Don't think there's anything that narrows it down to the post level, though.
What does it accomplish - what does it illuminate - to define it as "natural mathematical functions"? What can we learn from it, that we can't learn from a universe that operates simply by forces?And why not?
The forces operate mathematically and are mathematically measurable.What does it accomplish - what does it illuminate - to define it as "natural mathematical functions"? What can we learn from it, that we can't learn from a universe that operates simply by forces?
Because it is prejudicial.How would our understanding be lessened by rejecting this idea? Is it more than mere semantics?
The length of a coastline,
Mandelbrot began his treatise on fractal geometry by considering the question: "How long is the coast of Britain?" The coastline is irregular, so a measure with a straight ruler, as in the next figure, provides an estimate. The estimated length, L, equals the length of the ruler, s, multiplied by the N, the number of such rulers needed to cover the measured object. In the next figure we measure a part of the coastline twice, the ruler on the right is half that used on the left.
What does it mean to say , "we can approximate" and then come up with a thousand different "approximations" of the universe? What does that do to help us understand?But the estimate on the right is longer. If the the scale on the left is one, we have six units, but halving the unit gives us 15 rulers (L=7.5), not 12 (L=6). If we halved the scale again, we would get a similar result, a longer estimate of L. In general, as the ruler gets diminishingly small, the length gets infinitely large. The concept of length, begins to make little sense.
I agree mathematics are a primary aspect of the universe. Else there would be no order at all and we would not exist.It is primary - it generates those regularities.
I'm sure he meant Mathematics integrates empirically.......Or as Einstein put it: God integrates empirically.
Thanks for the reference. Never heard the name before. Will check it out.Write4U, the more you speak of "self-referential" the more you sound like Chris Langan and his CTMU. As to whether the latter is "woo"...
NOI agree mathematics are a primary aspect of the universe. Else there would be no order at all and we would not exist.
The universe has defects? The universe functions mathematically defective?NO
Mathematics are only a grave name rubbing
Close to the real thing but lots of defects
Wooo. IMHOChris Langan and his CTMU
Lagrangian mechanics is a reformulation of classical mechanics, introduced by the Italian-French mathematician and astronomer Joseph-Louis Lagrange in 1788.
In Lagrangian mechanics, the trajectory of a system of particles is derived by solving the Lagrange equations in one of two forms, either the Lagrange equations of the first kind,[1] which treat constraints explicitly as extra equations, often using Lagrange multipliers;[2][3] or the Lagrange equations of the second kind, which incorporate the constraints directly by judicious choice of generalized coordinates.[1][4]
In each case, a mathematical function called the Lagrangian is a function of the generalized coordinates, their time derivatives, and time, and contains the information about the dynamics of the system.
No new physics are necessarily introduced in applying Lagrangian mechanics compared to Newtonian mechanics. It is, however, more mathematically sophisticated and systematic.
https://en.wikipedia.org/wiki/Lagrangian_mechanicsNewton's laws can include non-conservative forceslike friction; however, they must include constraint forces explicitly and are best suited to Cartesian coordinates. Lagrangian mechanics is ideal for systems with conservative forces and for bypassing constraint forces in any coordinate system.
The grave rubbing has defects and with the way the age of the Universe is currently being debated seems like the mathematics involved has defectsThe universe has defects? The universe functions mathematically defective?
You mean manmade mathematics or theories have defects, no?.....difference...
Noted (I take it you mean colour )p.s. Michael, note the color coded portion.................oops.....
This is evident, regardless of your idea. What does your idea add?The forces operate mathematically and are mathematically measurable.
No we don't. Why would you think so?If you reject the concept of a mathematical universe, because mathematics are a human invention, we must also reject every other manmade scientific theory which uses mathematics.
How does your idea go beyond what we already do? We look at the universe and use mathematics to understand and predict it.This Territory and Map comparison is a lazy out and useless as a scientific instrument, unless we give weight to the inherent mathematical aspect of universal values and functions. Then we can draw an accurate representation of reality. (keeping in mind GR, when it comes to size and scale representation)
NAAAOOOOOOOOOO!!!!!!!!.............please, please don't get him started.....No worries, you're not alone, Write4U. Are you familiar with Max Tegmark?
lmao!NAAAOOOOOOOOOO!!!!!!!!.............please, please don't get him started.....
Teggers, a.k.a Shapiro, is his lodestone, his high priest, his POPE of the religion of natural mathematics that he subscribes to. We've had an almost non-stop diet of Tegmark for years now from Write4U. Aaargh.
In his off hours, yes. He does bring one idea to the table that is lost here with all the pages of nonsense and that is that if the Universe is itself mathematical and we just need to discover it then theoretically it's possible to learn things that are otherwise unknowable.lmao!
I haven't been on here much, so mea culpa.
Keeping OT, do you think Tegmark is woo-ish?
I do.lmao!
I haven't been on here much, so mea culpa.
Keeping OT, do you think Tegmark is woo-ish?
I'm going to go out on a limb here, but are you saying Write4U that math would exist, even if humans didn't?
I think math only exists as a process (invented by humans) to uncover the truths of the universe.
You keep inserting the word ''natural'' into your replies, so I'm not 100% sure.
Approximations to understanding the unknowable, sure, if that's what you mean.In his off hours, yes. He does bring one idea to the table that is lost here with all the pages of nonsense and that is that if the Universe is itself mathematical and we just need to discover it then theoretically it's possible to learn things that are otherwise unknowable.
I agree.It's woo because it can't be tested and because it isn't actually even logical based on current experience. Quantum Physics and General Relativity work quite well in their intended realms but break down where they come together (singularities, no quantum theory of gravity, etc).
There is no reason to think this wouldn't occur in Tegmark's world as well.
It makes me wonder if we misconstrue an alternative way of approaching a topic, as woo. If the end result is still objective, if we all arrive at the same answers to these complex mathematical equations, but we simply arrive there differently, that's not woo, to me. That being said, even though math isn't an ''exact science,'' there's still generally a ''right'' answer.He doesn't deal in woo in his daytime job so I think he is just amusing himself with woo in this case. I've read a book of his about this mathematical universe. The woo only comes into play in the last chapter as I recall.
lol! I was being facetious with my bubble comment in Tiassa's thread, btw. And, I'm very happy to have healthy discussions, even debates, with people who don't feel the need to put down those in the discussion. Would that be you? Hmm.By the way, if one lives in a bubble and isn't aware of much and someone else provides some addition points of view and knowledge, why consider that to be "lecturing"? In college we learned by going to lectures all the time. Isn't it a bit thin skinned to be asking questions but "accuse" one of "lecturing that provides some of the answers? It must be hard for one to learn who needs to control the way the knowledge is presented to them.