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coberst
21 May 2009, 04:56 PM
Natural Science: Hegemony of the Right Angle Paradigm?

If we watch carefully a group of carpenters building a house we can see that their building paradigm is the right angle and this constraint is standardized by the plumb-bob and the level. The building integrity is assured by the support of right angle structures and these supports are interconnected with linear members. The building paradigm is right angle support interconnected with liner members.

The natural sciences have a similar type of universal paradigm. The natural sciences’ greatest instrument for success is linear mathematics. Anything that is non linear is generally discarded or is solved by brute strength over design. These sciences have been successful by eliminating the negative and accentuating the positive; that which is linear is positive and that which is non linear is negative. Recent studies in fractals have helped us to better comprehend the nature of the natural sciences.

Philosophy has been determined to emulate this sort of paradigm in the hope of achieving similar success in the domains of knowledge focused upon human to human interrelationships. Recent efforts by cognitive science and associated neurological sciences have, in the last few decades, shown us the errors inherent in these attempts.

Objectivism is a philosophy that understands the world as made up of determinate, mind-independent objects with inherent characteristics or “essences”. This philosophical view of reason is that reason is capable of “mirroring” objects with their qualities and relationships in a linear and undistorted fashion. Objectivism holds that principles are high order generalizations that can function as fundamental laws that characterize categories, which are the necessary and sufficient definition of objects of reality.

Rationality is framed and contained by the systematic nature of human conceptual processes. “Human rationality is motivated…imaginative rationality is indeterminate in more-or-less predictable ways.”

“The concept of motivation…has nothing to do with subjective intent, but rather refers to what makes sense of—that is, what structures, constitutes, and enables—particular thought.”

Traditional philosophical objectivism assumes (i.e. takes for granted) “that reason is available to control and direct the movement from authoritative sources to the logical decision of a concrete case”.

In legal matters “reasoning consists in abstracting from a judicial opinion or other authoritative legal text the principles that express the necessary and sufficient conditions, properties, or criteria that characterize it.” In normal everyday considerations reasoning consists in ascertaining the categories that characterizes the situation.

Quotes from A Clearing in the Forest: Law, Life, and Mind Steven L. Winter, Law Professor

Gooch's Dad
21 May 2009, 08:30 PM
A law prof is your source for quotes about what the paradigm of science is? WTF where you thinking?

"The natural sciences’ greatest instrument for success is linear mathematics. Anything that is non linear is generally discarded or is solved by brute strength over design."

That is such utter bullshit, I hardly know where to begin. Care to name a single important equation, besides F=ma, that is linear? Take a look at Schrodinger's time dependent wave equation, and let me know if you think that it is "generally discarded, or is solved by brute strength over design".

MrFungus420
22 May 2009, 07:40 AM
Dad...

A general rule of thumb is to just ignore coberst.

He spams dozens of forums with the exact same pseudo-philosophical garbage.

On the rare occasions that he does post anything more than the OP, his posts may, or may not, have anything to do with replies to what he has posted. His responses even have the feel of being pasted, like he has a few set responses that he comes up with when he starts a thread.

Valheru
22 May 2009, 09:15 AM
A single counterexample are Fast Fourier Transforms, which a way of calculating non-deterministic equations without having to resort to brute force.

So there.

coberst
22 May 2009, 12:15 PM
. As I understand the matter a linear equation is one wherein one can hold all variables constant except for one and judge the effect of changing that variable without concern for the effect the changed variable might have on the other variables.

Linear equations are the equations used in the natural sciences.

Linear equations are the metaphors of natural sience.

Quickie from wiki: "Linear equations can have one or more variables. Linear equations occur with great regularity in applied mathematics. While they arise quite naturally when modeling many phenomena, they are particularly useful since many non-linear equations may be reduced to linear equations by assuming that quantities of interest vary to only a small extent from some "background" state."

coberst
22 May 2009, 12:20 PM
Nature passes through regularity into abrupt changes and back into regularity. Nature is often like a tornado or an earth quake. Science defines these abrupt changes as being nonlinear aspects of reality.

Until a few decades ago the natural sciences ignored these nonlinear aspects of reality and focused only upon the linear aspects of nature. This focus has proven to be very profitable for our development of technology; but this success is achieved at a price.

By ignoring the nonlinear aspects of reality we have often shoved into the far background much of reality and also in creating a citizenry that became enchanted with this mode of behavior and has lost consciousness of many very important aspects of reality.

Meteorologists use math equations to develop models that simulate climate change, which help them to predict the weather. We all know that weather prediction is, at best, an inexact science. Humans have learned to send space ships to mars but we have difficulty predicting the weather beyond 48 hours.

The weather model equations are iterative equations that use input data about variables such as wind, temperature, etc. to determine the weather to come. Such equations have feedback loops that take variables from the present output as input for the next calculation.

In linear equations these values, simulating natures processes, change in an orderly way; the cause/effect processes are lawful and orderly, just as Newton’s mechanics informs us. A nonlinear equation is an entirely different kind of animal, which informs us that nature is occasionally an outlaw that jumps the tracks and creates chaos. Sometimes nature produces tornadoes and earthquakes.

Our society has tended to ignore those aspects of reality that are nonlinear. Today we are visiting what might be considered a nonlinear moment; our financial structure appears to be in an earthquake mode. This catastrophe may present us with an opportunity to recognize the nature of nonlinearity and thus it might help us to understand the nature of what may be in our future.

MrFungus420
23 May 2009, 09:24 AM
Wow...

Pasting the exact same response as on another forum. Surprisingly enough, not in response to anything said in either forum.

http://www.talkrational.org/showpost.php?p=490769&postcount=12

Preno
23 May 2009, 11:58 AM
That is such utter bullshit, I hardly know where to begin. Care to name a single important equation, besides F=ma, that is linear? Take a look at Schrodinger's time dependent wave equation, and let me know if you think that it is "generally discarded, or is solved by brute strength over design".Uh, Schrodinger's equation is linear. So are, for example, Maxwell's equations.

Gooch's Dad
23 May 2009, 02:03 PM
OK, fair point, but I don't usually think of a differential equation as being in the same category as an algebraic linear equation.

And yeah, you're right, I should just ignore coberst. I should have known better from all the other stuff that he posts.

nygreenguy
23 May 2009, 02:18 PM
Linear equations are the metaphors of natural sience.

ecology uses non-linear models all the time. ie: population growth

So, with this said, your entire argument is flawed.

dancer_rnb
23 May 2009, 02:37 PM
Most of the population probably has no idea what either linear or non linear
means. Including the OP apparently. What does chaos have to do with non-linearity?

I think this is kind of like the "the world is now digital" nonsense.