Mathematics: The Loss of Certainty – Lifeboat News: The Blog https://lifeboat.com/blog Safeguarding Humanity Mon, 17 Apr 2017 05:27:33 +0000 en-US hourly 1 https://wordpress.org/?v=6.6.2 The Kline Directive: Theoretical-Empirical Relationship (Part 1) https://lifeboat.com/blog/2012/10/the-kline-directive-theoretical-empirical-relationship-part-1 Wed, 17 Oct 2012 18:32:04 +0000 http://lifeboat.com/blog/?p=5777 To achieve interstellar travel, the Kline Directive instructs us to be bold, to explore what others have not, to seek what others will not, to change what others dare not. To extend the boundaries of our knowledge, to advocate new methods, techniques and research, to sponsor change not status quo, on 5 fronts:

1. Legal Standing. 2. Safety Awareness. 3. Economic Viability. 4. Theoretical-Empirical Relationship. 5. Technological Feasibility.

In Part 1 of this post I will explore Theoretical-Empirical Relationship. Not theoretical relationships, not empirical relationships but theoretical-empirical relationships. To do this let us remind ourselves what the late Prof. Morris Kline was getting at in his book Mathematics: The Loss of Certainty, that mathematics has become so sophisticated and so very successful that it can now be used to prove anything and everything, and therefore, the loss of certainty that mathematics will provide reasonability in guidance and correctness in answers to our questions in the sciences.

History of science shows that all three giants of science of their times, Robert Boyle, Isaac Newton & Christiaan Huygens believed that light traveled in aether medium, but by the end of the 19th century there was enough experimental evidence to show aether could not be a valid concept. The primary experiment that changed our understanding of aether was the Michelson–Morley experiment of 1887, which once and for all proved that aether did not have the correct properties as the medium in which light travels.

Only after these experimental results were published did, a then unknown Albert Einstein, invent the Special Theory of Relativity (SRT) in 1905. The important fact to take note here is that Einstein did not invent SRT out of thin air, like many non-scientists and scientists, today believe. He invented SRT by examining the experimental data to put forward a hypothesis or concept described in mathematical form, why the velocity of light was constant in every direction independent of the direction of relative motion.

But he also had clues from others, namely George Francis FitzGerald (1889) and Hendrik Antoon Lorentz (1892) who postulated length contraction to explain negative outcome of the Michelson-Morley experiment and to rescue the ‘stationary aether’ hypothesis. Today their work is named the Lorentz-Fitzgerald transformation.

So Einstein did not invent the Special Theory of Relativity (SRT) out of thin air, there was a body of knowledge and hypotheses already in the literature. What Einstein did do was to pull all this together in a consistent and uniform manner that led to further correct predictions of how the physics of the Universe works.

(Note: I know my history of science in certain fields of endeavor, and therefore use Wikipedia a lot, not as a primary reference, but as a starting point for the reader to take off for his/her own research.)

Previous post in the Kline Directive series.

Next post in the Kline Directive series.

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Benjamin T Solomon is the author & principal investigator of the 12-year study into the theoretical & technological feasibility of gravitation modification, titled An Introduction to Gravity Modification, to achieve interstellar travel in our lifetimes. For more information visit iSETI LLC, Interstellar Space Exploration Technology Initiative.

Solomon is inviting all serious participants to his LinkedIn Group Interstellar Travel & Gravity Modification.

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The Kline Directive: Introduction https://lifeboat.com/blog/2012/10/the-kline-directive-introduction Tue, 09 Oct 2012 23:19:41 +0000 http://lifeboat.com/blog/?p=5635 Science and engineering are hard to do. If it wasn’t we would have a space bridge from here to the Moon by now. If you don’t have the real world practical experience doing either science or engineering you won’t understand this, or the effort and resources companies like Boeing, Lockheed, SpaceX, Orbital Sciences Corp, Scaled Composites, Virgin Galactic, and the Ad Astra Rocket Company have put into their innovations and products to get to where they are, today.

If we are to achieve interstellar travel, we have to be bold.
We have to explore what others have not.
We have to seek what others will not.
We have to change what others dare not.

The dictionary definition of a directive is, an instruction or order, tending to direct or directing, and indicating direction.

Dictionary of Military and Associated Terms, US Department of Defense 2005, provides three similar meanings,

1. A military communication in which policy is established or a specific action is ordered.
2. A plan issued with a view to putting it into effect when so directed, or in the event that a stated contingency arises.
3. Broadly speaking, any communication which initiates or governs action, conduct, or procedure.

In honor of the late Prof. Morris Kline who authored Mathematics: The Loss of Certainty, I have named what we need to do to ensure the success of our endeavors for interstellar space travel, as the Kline Directive.

His book could be summarized into a single statement, that mathematics has become so sophisticated and so very successful that it can now be used to prove anything and everything, and therefore, the loss of certainty that mathematics will provide reasonability in guidance and correctness in answers to our questions in the sciences.

To achieve interstellar travel, the Kline Directive instructs us to be bold, to explore what others have not, to seek what others will not, to change what others dare not.

To extend the boundaries of our knowledge, to advocate new methods, techniques and research, to sponsor change not status quo, on 5 fronts:

1. Legal Standing.
2. Safety Awareness.
3. Economic Viability.
4. Theoretical-Empirical Relationship.
5. Technological Feasibility.

I will explore each of these 5 fronts on how we can push the envelop to reach the stars sooner rather than later.

Next post in the Kline Directive series

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Benjamin T Solomon is the author & principal investigator of the 12-year study into the theoretical & technological feasibility of gravitation modification, titled An Introduction to Gravity Modification, to achieve interstellar travel in our lifetimes. For more information visit iSETI LLC, Interstellar Space Exploration Technology Initiative.

Solomon is inviting all serious participants to his LinkedIn Group Interstellar Travel & Gravity Modification.

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