ipso facto

[AntonioLao]

Equivalently, Sir Isaac Newton would say “Hypotheses non fingo.” Newton’s magnum opuses are combined into 142 propositions, 122 theorems, and 42 problems by factual examples. Although a proposition is similar to a hypothesis, it is a form of generalization supported by hundred pages of mathematical calculations. From these computational methodologies and geometric demonstrations, Newton was able to deduce and to assert the 3 laws of motion and the universal law of gravitation. His treatises have a total of 548 pages of mathematical exposition. In comparison to the other Pythagorean-Platonic emphasis on quantitative relations as the essence of reality, Newton was unique compared to Kepler, Galileo, Descartes, and Huygens. In a sense, Newton can be considered as the founder of mathematical physics which established the principle that the goal of scientific activity should be the creation of quantitative mathematical facts leading to concretely verifiable physical laws, ipso facto mathematics and ipso jure physics.

At the turn of the 20th century, ipso facto approach to scientific discovery was again implemented by Max Planck for the first quantum theory of blackbody radiations, while 5 and 15 years later ipso jure approach with underlying a priori physical principles was used by Einstein for the physical discoveries of both special and general theory of relativity. The first approach uses the logic of mathematical induction to derive a valid conclusion, while the second uses the logic of physical deduction to support a mathematical formulation. Fortunately, both approaches contributed greatly to the progress of modern scientific revolution. However, unfortunately, they still cannot be rectified into a single mathematical framework of a TOE. The problem for their union might be their use of different hypercomplex numbers. Advanced quantum theories are described by spinors, while general relativity is described by tensors. The formers require imaginary numbers, while the latter only real numbers suffice. Attempts to solve both using real complex imaginary twistors were still not successful. But another option would be to use real symmetric Hadamard matrices.

[labelwench]

At the turn of the 20th century, ipso facto approach to scientific discovery was again implemented by Max Planck for the first quantum theory of blackbody radiations, while 5 and 15 years later ipso jure approach with underlying a priori physical principles was used by Einstein for the physical discoveries of both special and general theory of relativity. The first approach uses the logic of mathematical induction to derive a valid conclusion, while the second uses the logic of physical deduction to support a mathematical formulation. Fortunately, both approaches contributed greatly to the progress of modern scientific revolution. However, unfortunately, they still cannot be rectified into a single mathematical framework of a TOE. The problem for their union might be their use of different hypercomplex numbers. Advanced quantum theories are described by spinors, while general relativity is described by tensors. The formers require imaginary numbers, while the latter only real numbers suffice. Attempts to solve both using real complex imaginary twistors were still not successful. But another option would be to use real symmetric Hadamard matrices.
Originally posted by AntoniaLao

Thank you for this concise executive summary, Antonio.

Although I have not studied all of the theories you name, I am beginning to recognize which posters are proponents of various of them from following many of the threads at this forum.

Since so many great minds have yet to agree on a single mathematical framework, I shall not cause myself too much distress that it remains elusive to me.

For myself, I am quite convinced that my time and energy has to date, and presently continues, to be applied in the manner best suited to my circumstances and abilities. For all intents and purposes, I consider myself to be relatively happy, having neither debilitating regrets nor impossible longings, excepting to wish that all persons could know the peace and comfort suited to themselves.

[AntonioLao]

many great minds have yet to agree on a single mathematical framework

In addition, it can be said that even the singular mind of a single person between the left and right lobes of the brain or the front and the back lobes must agree in order for this person to remain sane.

[labelwench]

In addition, it can be said that even the singular mind of a single person between the left and right lobes of the brain or the front and the back lobes must agree in order for this person to remain sane.

I would be more concerned about a person who was absolutely certain, than of one who had some reservations, on any topic.

The mind comes with it's own 'checks and balances', which allows new data to be taken in and evaluated, even while proceeding on an established course of thought or action. The world around us is constantly changing, as when we are driving, as an example.

New information is coming at us, hard and fast, and we may have to react on very short notice.

I have gained trust, from the experiencing of my mind and body preparing for opposing responses ,where my body was frightened, by the rapid approach of a thundering snowplow, too close, yet my mind forced my body to remain relaxed, and that was the most effective option. The horse remained calm, which quite impressed me, as it was a horse of nervous disposition, and I in effect, bluffed it. My mind was not entirely of one accord on this course of action, as when it is, there is no mind/body separation. All is as one, thought and response.

[AntonioLao]

a person who was absolutely certain

I know of no other person outside TOEQuest but within there is a poster with the initial MJA having the persistence of advocating the triviality of equality without understanding the different forms and contents of logical equivalence, mathematical equivalence, and physical equivalence.

[labelwench]

I would be more concerned about a person who was absolutely certain, than of one who had some reservations, on any topic.

I stand by my original quote.

[AntonioLao]

That is why Confucius said more than 2000 years ago that if a person knows not and knows not he knows not then leave him alone, and for a person who knows not and knows he knows not then teach him.

[labelwench]

That is why Confucius said more than 2000 years ago that if a person knows not and knows not he knows not then leave him alone, and for a person who knows not and knows he knows not then teach him.

Agreed.

One must be entertaining a willingness to consider changing one's existing paradigm before there is any value in making the attempt. That is why I prefer a floating paradigm, a thing which troubles some people, if one will not state their allegiances on those topics which most hold dear.

I prefer to offend none, yet if they insist on making me choose, I choose not, thereby offending all equally.

Nature created me, and nature will either make something of me, or clear the stage for another evolution.

To that effect, I am more inclined to study the patterns of nature than the created concepts of mankind, save where an immediately practical relationship is observable.

[AntonioLao]

study the patterns of nature

Since mathematics is the science of natural patterns then by this definition you are a natural born mathematician. Maybe you just didn't know it yet.