MGTutoring.com. A Rational Perspective on Education.

May 2, 2012

On Francis Bacon

Filed under: History,Logic,Philosophy,Physics,Science — Administrator @ 11:20 pm

From History of the Conflict Between Religion and Science by John William Draper:

“[Lord] Bacon was not only ignorant of mathematics, but depreciated its application to physical inquiries. He contemptuously rejected the Copernican system, alleging absurd objections to it. While Galileo was on the brink of his great telescopic discoveries, Bacon was publishing doubts as to the utility of instruments in scientific investigations. To ascribe the inductive method to him is to ignore history. His fanciful philosophical suggestions have never been of the slightest practical use. No one has ever thought of employing them. Except among English readers, his name is almost unknown. ”

I stumbled on a reference to Draper’s quote while listening to Pioneers of Science by Sir Oliver Lodge.

August 30, 2011

More Against “Man-made Global Warming”

Filed under: Astronomy,Physics,Science — Administrator @ 1:09 pm

In “CERN: ‘Climate models will need to be substantially revised’, ” Andrew Orlowski  (Science, 25th August 2011 10:42 GMT) writes:

CERN’s 8,000 scientists may not be able to find the hypothetical Higgs boson, but they have made an important contribution to climate physics, prompting climate models to be revised.

The first results from the lab’s CLOUD (“Cosmics Leaving OUtdoor Droplets”) experiment published in Nature today confirm that cosmic rays spur the formation of clouds through ion-induced nucleation. …

This has significant implications for climate science because water vapour and clouds play a large role in determining global temperatures. Tiny changes in overall cloud cover can result in relatively large temperature changes.

Unsurprisingly, it’s a politically sensitive topic, as it provides support for a “heliocentric” rather than “anthropogenic” approach to climate change: the sun plays a large role in modulating the quantity of cosmic rays reaching the upper atmosphere of the Earth.

When Dr Kirkby first described the theory in 1998, he suggested cosmic rays “will probably be able to account for somewhere between a half and the whole of the increase in the Earth’s temperature that we have seen in the last century.”

© Copyright 1998–2011

June 4, 2011

Time Dilation

Filed under: Physics — Administrator @ 10:39 am

On YouTube is a old video of the famous mu-meson time dilation experiment performed by David Smith and James Frisch on Mt Washington. See also the video on SciVee. Their 1963 paper was entitled Measurement of the Relativistic Time Dilation Using g—Mesons*.

May 12, 2011

Pendulum Waves

Filed under: Fun,Mathematics,Physics,Science — Administrator @ 9:02 pm

Someone posted a video of pendulum waves on YouTube. Absolutely amazing. Beautiful.

January 14, 2010

Differentials and Error Analysis

Filed under: Mathematics,Physics,Science — Administrator @ 3:48 pm

Differentials, an aspect of calculus, are important for working with errors of measurement and the propagation of error.

Dr. Donald Simanek discusses their use in Error Calculations Using Calculus. Dr. Mike Coombes discusses their use in Error Propagation Using Calculus Solutions. And Dr. Rhett Allain uses them in the interesting Error Propagation And the Distance To the Sun.

I have not read the articles/essays closely, so I don’t know if there are any mistakes in them. But they illustrate the general idea.

January 7, 2010

Atmospheric CO2 Level Constant Over the Past 160 Years?

Filed under: Physics,Science — Administrator @ 10:02 am

As with astronomy, where Ptolemy was not right because his math “worked” (mostly) and was fancy, but where Copernicus, Galileo and Newton were right because they derived their conclusions  from the facts, so also, climate science must bow to facts and evidence, not vice versa. There will be not knowledge proper in climate science until it is made scientific, i.e., until scientists and “scientists” eliminate all hypotheses, concepts, conclusions, principles and theories in their thinking that are not based on and derived inductively from facts.

There are constant reports about the invalidity of the methods and thinking of those who proclaim and push “man made global warming.” For example, ScienceDaily.com reports:

Many climate models also assume that the airborne fraction will increase. Because understanding of the airborne fraction of carbon dioxide is important for predicting future climate change, it is essential to have accurate knowledge of whether that fraction is changing or will change as emissions increase.

To assess whether the airborne fraction is indeed increasing, Wolfgang Knorr of the Department of Earth Sciences at the University of Bristol reanalyzed available atmospheric carbon dioxide and emissions data since 1850 and considers the uncertainties in the data.

In contradiction to some recent studies, he finds that the airborne fraction of carbon dioxide has not increased either during the past 150 years or during the most recent five decades.

Copyright © 1995-2009 ScienceDaily LLC  —  All rights reserved

I don’t know about the validity of the research and reasoning; I’ll have to find out more.

Recent research, e.g.,”Lindzen on Negative Climate Feedback” (be sure to also read the comments), regarding climate concludes that there is net negative feedback in our climate system, not, as presupposed by climate models that say ‘the earth is in crisis,’ a net positive feedback.

Facts must come first in science. Otherwise, our thinking is detached from reality, and our action will follow suit. Then we will be doing things like bleeding or putting leeches on people to make people healthier; or, like kingdoms of old, beating people like to make them be good; or, like some today, recommending people wear running shoes (which end up giving people back and chiropractic problems; see, for example, “Shoes, Sitting, and Lower Body Dysfunctions,”  “Running shoes may cause damage to knees, hips and ankles,” “The Effect of Running Shoes on Lower Extremity Joint Torques“); and more.

November 9, 2009

Finding Libraries At Which To Study: It’s Easy

Filed under: Logic,Mathematics,MGTutoring,Physics — Administrator @ 11:53 am

Thank goodness for the Internet — and the mathematics, physics, and reasoning that made it possible, and that continue to refine and improve it. How easy it is to find places to go to study; besides Paneras and Starbucks and home, there are nice, quiet libraries all over the place. We can see all the branch libraries in Texas at the click of a mouse.

October 15, 2009

Measuring Waves

Filed under: Mathematics,Physics,Science — Administrator @ 9:49 am

Mathematics allows us to grasp and understand things outside of the realm of perception — things like radio waves and microwaves:

Radio broadcasts use the low-frequency, long-wavelength portion of the electromagnetic spectrum. Commercial AM radio is at frequencies of 550 kHz to 1600 kHz (wavelengths of 545 m to 187 m) and commercial FM radio is at frequencies of 88 MHz to 108 MHz (wavelengths of 3.4 m to 2.8 m). Because these waves have wavelengths longer than 1 m, they are called radio waves. But the electromagnetic waves used in microwave ovens have wavelengths shorter than 1 m and are called microwaves. Microwaves extend from wavelengths of 1 m (3.3 ft) down to 1 mm (0.04 inches).

p. 433 , How Things Work (3rd ed.) by Louis A. Bloomfield, John Wiley & Sons, Inc., (c) 2006, ISBN-13: 978-0-471-46886-8.

Such waves are things we never see, touch, taste or smell. But because of concepts and mathematics, we can identify and control electromagnetic waves, as if they were things we could actually see or touch. Math and conceptual thought make possible all devices and inventions based on electricity and electromagnetic waves: radio, live365.com, the iPod, the iPhone, cell phones in general, GPS, the Internet, microwave ovens, AC, the automobile and more. People who say that math is useless are saying, by implication, by logical necessity, that all things logically and causally dependent on mathematics — such as those just enumerated — are useless and can and should be done away with.

But mathematics is implicit in most all the technology we use in most aspects of our lives. (That so many people don’t see this is, sadly, an indictment of the anti-conceptual nature of our culture. How I wish it were otherwise…) Mathematics and measurement are implicit in signage along the roadside and on buildings, in all recorded or amplified music we hear and enjoy, in the medical treatment we receive and depend on, in the cell phones we use to call family or friend or business associate, in the Internet we use to read news or keep up with friends, in the automobile we drive on vacation or in which we are driven to the hospital. The modern life we live is dependent on mathematics — what’s more, I’d argue that mathematics and measurement are essential to human consciousness and experience and thus to human life, and fundamentally differentiate us from all other animals.

September 16, 2009

“Introductory Physics” by Herbert Priestley

Filed under: Education,Physics,Recommended Books,Science — Administrator @ 8:30 am

Introductory Physics by Herbert Priestley (Allyn and Bacon, Inc., 1958)  has one of the best presentations of physics I’ve ever seen. (The book is, sadly, out of print and hard to find.) He presents concepts in their historical and scientific context. Priestley presents alternative viewpoints that were being used to understand phenomena such as heat or electricity, discusses why each viewpoint was held and the arguments scientists had on which position was right, and describes in some detail the experiments scientists did – especially the experiments which validated one side or the other. In showing us the development of ideas in physics, Priestley is showing us the correct view of concept formation and the formation of generalizations, Priestley is showing us that true concepts and propositions come from applying rational, objective methods to the real world.

Priestley attended the University of Leeds, receiving a B.S. in 1933 and a Ph.D. in physics in 1935. He served in the Royal Air Force as an industrial research physicist, civilian education officer, and air intelligence officer. He came to the US as RAF liaison officer in 1942, but stayed on to teach physics at Ripton College after WWII. In 1952, he became chairman of the physics department at Knox College, where he stayed until he retired in 1980.  His obituary is on Knox College‘s Website.

Two caveats. Priestley makes some statements in his Chapter 1 about the philosophy of science which I do not fully agree with. He also does not give Aristotle proper credit as a scientist. People have insulted Aristotle for centuries, for things that are not Aristotle’s fault –- there have been people throughout history who blindly believed what was written in Aristotle’s corpus and who did not look at reality on their own, yes, but that is not Aristotle’s fault. Aristotle, in method, was objective, and referred to experience. If he had the evidence available to him which people did who lived 1,000 years or more after he lived, he could have arrived at the conclusions modern scientists have. He was a solid scientist, as can be seen in the work he did most: philosophy, logic and biology.

Dr. James Lennox, Professor of Philosophy and the History of Science at the University of Pittsburgh, has some good articles on his Website regarding Aristotle as scientist and philosopher of science. An article directly relevant to some of Priestley’s uninformed, unresearched accusations against Aristotle is Lennox’s “Aristotle, Galileo and the Mixed Sciences,” which discusses (1) Aristotle’s use of mathematics as a tool of explanation and (2) Galileo’s debt to Aristotle.

Following is an excerpt from Priestley’s book. I hope this is not a copyright violation! (This post is a great advertisement for the book. This post publicizes and praises the book, which would otherwise remain largely unknown. Plus, while the quoted section is lengthy, it is a small percentage of the whole.) The book is out of print, but, I think, still under copyright. I communicated with the publisher, who said they did not have any copies of the book to sell and would not make any. This is a book that should be reprinted! It should be preserved, studied, spread far and wide, and used as a standard for how science textbooks should be.

It is impossible to grasp Priestley’s masterful and rational approach in brief one-paragraph excerpts, so the excerpt must be lengthy. Priestley does use math (only algebra; no calculus) in his textbook, but the excerpt has none. The excerpt illustrates, in context of electricity, how Priestley focuses his discussion of physics on causality, scientific method, and the development of concepts, principles and theories.

Excerpt Chp. 15, “Electricity and Chemistry,” pp. 201-205

15.1 Galvanism. Electricity and chemistry are closely inter-related. A chemical reaction can produce a supply of electricity for as long as the reaction continues. This, the first source of a continuous supply of electricity, an electric current, is the principle of the electric battery. Conversely, an electric current can produce a chemical reaction, usually the decomposition of a chemical compound into its simpler elements, the process of electrolysis. Both processes involve the conversion of energy from one form to another; in the first case, chemical energy becomes electrical energy; in the other, the reverse takes place.

Every living cell produces electricity. The functioning of living tissue today is studied through its electrical action. The study of electricity in living tissue, which began quite accidentally about one hundred and fifty years ago, led to the development of the electric battery, for many years thereafter the standard method of producing electricity

About 1750, it was noted that pieces of lead and silver placed above and below the tongue, respectively, with their outer edges in contact, produced an unpleasant and pungent taste not encountered when the metals were placed separately upon the tongue. The phenomenon was attributed to some excitation of the nerves of the tongue. By this time, various physicians and experimenters had demonstrated that electricity could be used as a muscular stimulant in man and animals. This fact had been used to distinguish between paralyzed and atrophied muscles, an electric charge producing a contraction only in a paralyzed muscle.

Before the end of the eighteenth century it was known that an electric discharge passed through the body of a freshly killed animal could cause a convulsive action in its muscles, and that the discharge of an electric eel (section 14.2) produced motion in a nearby dead fish. Identification of the origin of these effects was made by Galvani (1737-1798), a professor of anatomy at Bologna. Galvani began experimenting about 1780, using a Leyden jar [A Leyden jar was the earliest form of electric condenser, consisting of “a bottle filled with water into which was inserted a wire held in place by a cork.”  p. 191] and an electrostatic machine to test the effects of the electric discharge upon the nervous system of the frog. During these experiments he made the chance observation that nearby electrical discharge caused convulsions in a freshly prepared frog’s leg in conducting contact with the earth.

(more…)

September 2, 2009

The Integration of Biology With Chemistry and Physics: Anecdote 2

Filed under: Biology,History,Physics,Science — Administrator @ 8:11 am

Isaac Asimov tells us another fascinating, intriguing scientific anecdote in A Short History of Biology:

If a protein solution is placed in an electric field, the individual protein molecules travel toward either the positive of negative electrode at a fixed speed dictated by the pattern of the electric charge, the size and shape of the molecule and so on. No two varieties of protein would travel at precisely the same speed under all conditions.

In 1937, the Swedish chemist, Arne Wilhelm Kaurin Tiselius (1902- ), a student of Svedberg‘s, devised an apparatus to take advantage of this. This consisted of a special tube arranged like a rectangular U, within which a protein mixture could move in response to an electric field. (Such motion is called “electrophoresis.”) Since the various components of the mixture moved each at its own rate, there was a gradual separation. The rectangular-U tube consisted of portions that fitted together at specifically ground joints, and these portions could be slid apart. Matters could be arranged so that one of the mixture of proteins would be present in one component of the chambers and could thus be separated from the rest.

Furthermore, by the use of appropriate cylindrical lenses, it became possible to follow the process of separation by taking advantage of changes in the way light was refracted on passing through the suspended mixture as the protein concentration changed. The changes in refraction could be photographed as a wavelike pattern which could then be used to calculate the quantity of each type of protein present in the mixture.

pp. 155-156, A Short History of Biology by Isaac Asimov, American Museum Science Books, the Natural History Press, Garden City, New York, (c) 1964 Isaac Asimov.

The integration of physics, chemistry, technology, and biology is awe-inspiring and beautiful.

Mr. Asimov presents some of the discoveries and ideas in biology that led up to Tiselius’ work (such as the discovery of organic compounds and proteins), and then discusses in his book what happened after this. He focuses on the biology and chemistry. Mr. Asimov teaches correctly: the reader gets to see what basic evidence and reasoning led to the concepts, principles and theories of modern biology. The reader gets the skeleton of induction needed to grasp a concept, etc.

Most students now-a-day are trained in a mash that amounts to confusion, memorized words (like a parrot), and obedience of authority, not to understanding proper. Students are not being trained in reasoning and objectivity.

To properly understand Tiselius’ work, one would need to learn that which Mr. Asimov presented, but one would also need to learn some of the scientific work of Michael Faraday (The Laws of Electrolysis) and Willebrord Snellius (Snell’s Law of Refraction). What’s more, Tiselius’ work has to be clearly rooted in the work of Galileo and Newton, who studied telescopes and light, studied motion and gravity, and started modern science. There are also ideas developed in the 1600s, 1700s, and 1800s that are essential to achieving a real, inductive, objective understanding.

Update (9-4-09, 8:15 AM):  And, of course, none of this would have been possible without the development of mathematics, Aristotle’s development of logic, and the integration of mathematics and the physical and biological sciences.

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