I agree...![]()
So you will give up on
These fundamental functions must be mathematically permitted, or these functions would not, could not exist.....![]()
and use
ALLfundamental ACTIONS must be PHYSICALLY possible or PHYSICS would not WORK
Ya?
I agree...![]()
These fundamental functions must be mathematically permitted, or these functions would not, could not exist.....![]()
Naa... I have already stipulated to a fundamental "permittive condition", but that does not address the HOW, the mathematical permissions and restrictions of the actions themselves.So you will give up on
and use
ALL fundamental ACTIONS must be PHYSICALLY possible or PHYSICS would not WORK
Ya?
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Not all physical action is mathematically permitted.
How did you determine a "2 ton mass", a mathematical value?You mean the reason I cannot wave my arms and do a Superman fly around the world or lift up a 2 ton mass with my little pinky is because MATHEMATICS won't let me?
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Mathematical self-referential "values" and "algebraic" functions are a common denominator of both "space and time". Think about that.....![]()
I understand the difference between "knowing without doing" and "doing without knowing".Algebra is nothing more than a clever human trick to guess, rather determine the other values...nature knows the values I suspect...well of course it does..nature does not use algebra..it probably has no idea what algebra is at all. Nature will know all inputs ..it must..it can not act with out all inputs...try to see this.
No, IMO, that is the physics. The maths actually identify and describe the tactical strategies employed, explaining the numerical values of distance, trajectories and what and how one side was able to win. To say' "we won due to overwhelming physical force" is really not very informative of the actual mathematical strategic and tactical maneuvers involved.The matter is way more complex than the maths...the maths is like a reporter describing a battle of ten thousand humans ending with an observation that one side won.
I see physics as the narrative description of how thing work physically and the accompanying maths as the universal rules that make the physical actions possible and consistent to begin with.Though it only takes one person to fire a sniper rifle, it really takes two soldiers to get the most out of the sniper-rifle weapon system. That's why snipers always work in at least pairs. In traditional military doctrine a sniper team will be comprised of two members, a sniper and a spotter. However, in recent years some military doctrines have begun advocating the use of a third team member, the ‘flanker’.
It is an approximately aligned and probabilistically predictive partial model of how certain carefully limited and reasonably representative arenas of action within the universe operate.Algebra is not a clever trick. It is a perfect description of how the universe operates.
I agree, but as a model of any orderly change, what model would be simpler than the algebraic functions we use for every equation in mathematics?As a model it of course comprises different and simpler stuff than what models. A model that reproduced the modeled would be useless - the whole point of a model is to omit the unnecessary, clarify and simplify the modeled, maybe get it to stay put so the modeler has time to examine it.
In algebra, which is a broad division of mathematics, abstract algebra (occasionally called modern algebra) is the study of algebraic structures.
Algebraic structures, with their associated homomorphisms, form mathematical categories. Category theory is a formalism that allows a unified way for expressing properties and constructions that are similar for various structures.
https://en.wikipedia.org/wiki/Abstract_algebraUniversal algebra is a related subject that studies types of algebraic structures as single objects. For example, the structure of groups is a single object in universal algebra, which is called variety of groups.
Pure mathematics is the study of mathematical concepts independently of any application outside
https://en.wikipedia.org/wiki/Pure_mathematicsmathematics. These concepts may originate in real-world concerns, and the results obtained may later turn out to be useful for practical applications, but pure mathematicians are not primarily motivated by such applications. Instead, the appeal is attributed to the intellectual challenge and aesthetic beauty of working out the logical consequences of basic principles.
Just don't confuse the model with the modeled.I agree, but as a model of any orderly change, what model would be simpler than the algebraic functions we use for every equation in mathematics?
We're not talking about territory. We're talking about dynamic change. Algebraics are mathematical "functions" (processes). They are not descriptive, they are functional.Just don't confuse the model with the modeled.
The map is not the territory.
What are the Inputs and Outputs of Functions?Functions are like the manufacturing plants of mathematics: One thing goes in, another comes out. In this lesson, we'll discuss how to determine the inputs and outputs of functions that show up as tables, graphs, or algebraic expressions.
Functions exist all around us. You eat food and end up with energy. You put money in a vending machine and your selected item comes out. You ask a question and get an answer.
Mathematical permission and restriction.In mathematics, a function is any expression that produces exactly one answer for any given number that you give it. The input is the number you feed into the expression, and the output is what you get after the look-up work or calculations are finished.
https://study.com/academy/lesson/determining-inputs-outputs-of-functions.html#The type of function determines what inputs are acceptable - the entries that are allowed and make sense for the function. The function also controls the outputs that can result from those inputs. In this lesson, we'll see how to figure out the inputs and outputs from a table, a graph, and an
algebraic expression.
I have told him this a dozen times. He doesn't get it.Just don't confuse the model with the modeled.
The map is not the territory.
You need a map to navigate the territory. That map is Mathematical in essence. Hence the territory must by necessity be also mathematical in essence.I have told him this a dozen times. He doesn't get it.
In logic and mathematics, necessity and sufficiency are terms used to describe a conditional or implicational relationship between two statements. For example, in the conditional statement: "If P then Q", Q is necessary for P, because the truth of P guarantees the truth of Q (equiv., it is impossible to have P without Q).[1][2] Similarly, P is sufficient for Q, because P being true always implies that Q is true, but P not being true does not always imply that Q is not true.[3]
In general, a necessary condition is one which must be present in order for another condition to occur, while a sufficient condition is one which produces the said condition.[4] The assertion that a statement is a "necessary and sufficient" condition of another means that the former statement is true if and only if the latter is true.[5] That is, the two statements must be either simultaneously true, or simultaneously false.[6][7][8]
https://en.wikipedia.org/wiki/Necessity_and_sufficiencyIn ordinary English, "necessary" and "sufficient" indicate relations between conditions or states of affairs, not statements. For example, being a male is a necessary condition for being a brother, but it is not sufficient—while being a male sibling is a necessary and sufficient condition for being a brother.
To become a biologist or health-care professional, you have to study a variety of scientific disciplines -- biology, chemistry, physics, and math. You might have noted that the world doesn't actually divide itself in this way. Rather, the disciplines historically have been a way of choosing a sub-class of the phenomena that occur in the world and looking at a particular aspect of them with a particular purpose in mind. Different disciplines have different sets of tools and ways of knowing. Connecting the different ways of knowing and tools is a key part of the "convergence of the physical and life sciences" we mentioned in the introduction. Looking at something from different disciplinary perspectives adds a richness and depth to our understanding -- like taking two 2-D pictures and merging them into a 3-D image.
Your introductory science and math classes often provide you with some basics -- tools, concepts, and vocabulary -- but may not give you a perspective on what each discipline adds to what you are learning and how they all fit together.
http://umdberg.pbworks.com/w/page/58022275/The disciplinesEach discipline has its own orientation and perspective towards the development of a professional scientist. Here's a brief (and oversimplified) overview of the different disciplines that you encounter in studying biology. ........much more
Physics and Mathematics explain the same thing from two
Explain the abstract Physical thing to me..., I can explain the abstract Mathematical thing......NO. Physics IS the THING
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The ancients believed that the world was made up of four basic "elements": earth, water, air, and fire. Around 350 BC, the ancient Greek philosopher Plato, in his book Timaeus, theorized that these four elements were all aggregates of tiny solids (in modern parlance, atoms). He went on to argue that, as the basic building blocks of all matter, these four elements must have perfect geometric form, namely the shapes of the five "regular solids" that so enamoured the Greek mathematicians -- the perfectly symmetrical tetrahedron, cube, octahedron, icosahedron, and dodecahedron.
IMO..." air is to water as water is to earth" ... must be a reference to "fluids" and their relative "density".As the lightest and sharpest of the elements, said Plato, fire must be a tetrahedron. Being the most stable of the elements, earth must consist of cubes. Water, because it is the most mobile and fluid, has to be an icosahedron, the regular solid that rolls most easily. As to air, he observed, somewhat mysteriously, that "... air is to water as water is to earth," and concluded, even more mysteriously, that air must therefore be an octahedron. Finally, so as not to leave out the one remaining regular solid, he proposed that the dodecahedron represented the shape of the entire universe.
https://www.maa.org/external_archive/devlin/devlin_11_01.html#To Plato, as to many others, as Creator of the universe, God must surely have been a geometer. Or, as the great Italian scientist Galileo Galilei wrote in the seventeenth century, "In order to understand the universe, you must know the language in which it is written. And that language is mathematics."
My county is not ink-printed cellulose in essence.You need a map to navigate the territory. That map is Mathematical in essence. Hence the territory must by necessity be also mathematical in essence.
Your description of a physical county is actually a non-physical holograph in your mind, as much as it is a set of non-physical mathematical dimensions in the brain. All human descriptions other than being the terrain are descriptive, regardless of the way the story is told. But we are not talking about the human scientific language. We are talking how the universe is able to consistently organize itself into a hierarchical sets of complex patterns, which humans have named physical objects. We are talking how the universe communicates with itself and chronicles its own dimensional and organizational measurements which are mathematical in essence.My county is not ink-printed cellulose in essence.
My map of it is.
http://umdberg.pbworks.com/w/page/58022275/The disciplinesDifferent disciplines have different sets of tools and ways of knowing. Connecting the different ways of knowing and tools is a key part of the "convergence of the physical and life sciences" we mentioned in the introduction. Looking at something from different disciplinary perspectives adds a richness and depth to our understanding -- like taking two 2-D pictures and merging them into a 3-D image.
Explain the abstract Physical thing to me..., I can explain the abstract Mathematical thing......![]()