Familiarity versus Simplicity

By The Metric Maven

Bulldog Edition

Sometimes the advantage of simplicity is obvious. I recall a time when a person at a  grocery store check-out counter entered the price of each item using mechanical buttons on a cash register, then used their palm to press a large flat beige metal key which would enter the transaction into it. Later, laser scanners that could read universal product codes (UPC) were introduced. The items just glided across a glass window, and with a beep, each item price was registered. The person at the register went from using some arithmetic skills to none.  In other cases, where one has to rethink an intellectual method, no matter how much simpler it might be, people often cling to the familiar with great tenacity. If they run into a new method, they often will try to impose the old manner upon it, which only makes the new method much more complicated.

I thought of this when I was reading an old folio on the metric system. It is called The Metric System of Weights and Measures and was written by J. Pickering Putnam in 1877. The book was published by the American Metric Bureau. They describe themselves thus:

There is an amazing color chart included in the book which completely illustrates my point about simplicity versus familiarity. The entire chart is reproduced below so that you can enlarge it, but I will address parts of it using cropped sections.

Metric Chart (1877) click to enlarge

Here is the illustration of metric volumes from the chart:

Volume Examples (1877) click to enlarge

When the modern metric system is used, generally volumes are described using milliliters and liters. One can introduce the archaic prefix cluster around unity and have centiliters, deciliters and so on, but they are impractical and generally understood to be nothing but a complicating factor. First let’s look at the volumes offered in the chart. It shows 1/2, 1/5, 1/10, 1/20, 1/50 and 1/100 fractions of a liter as suggested volumes. These are 500 mL, 200 mL, 100 mL, 50 mL and 10 mL volumes. When written in a modern manner, they are all nice whole numbers which can be immediately compared; but that’s not what was suggested by the pro-metric American Metric Bureau chart. It expresses liters in the common vernacular of the day—fractions, which do not provide an instant recognition of relative magnitude. The nineteenth century was still a place with an almost uncountable number of measurement units–so this would probably seem like a simplification.

The chart has also suggested names for each quantity below one-half liter. They are the Double Deciliter (200 mL), Deciliter (100 mL), Demi-Deciliter (50 mL), Double Centiliter (20 mL) and Centiliter (10 mL). Amazingly, my nemesis, the cubic centimeter, is also expressed as 1000 cubic millimeters and correctly asserted to be equal to 1 milliliter. It is shown that one milliliter of water weights one gram, but we note that milliliters are not used at all in the “parade of illustrated volumes.” What this demonstrates, is that the ubiquitous way pre-metric weights and measures were used, was unconsciously foisted on the much simpler metric system. They were imposed without a technical justification, but instead relied on an unspoken common usage justification. It reminds me of a section of the TV version of The Hitchhiker’s Guide to The Galaxy where a hair dresser is given a pair of sticks to make fire, and constructs  a faux-scissors from them. They were feckless for producing fire, but they seemed like a rational path to him, based upon his experience and education as a hair dresser. He is only able to think in terms of what he knows, what is familiar.

The fact that 10 cubic centimeters is 10 milliliters, which is also 1 centiliter, and when filled with water is a dekagram is never seen in modern metric usage, but is given in the chart. Generally we don’t use a k in deca either. The multiple equivalences is related to the idea that somehow we need lots of weights and measures, because we have always had lots of weights and measures, such as: a firkin, a hogshead, a kilderkin, a chaldron, a pottle, a gill etc. It is a nineteenth century reflexive belief that we need many measurement monickers. It is familiarity over simplicity.

Mass Values (1877) click to enlarge

When looking at the “parade of grams” they appear to use a capital G with a typeface that looks like a C, which may be an archaic Latin usage. In this case they actually use integer values of 1, 2, 5, 10, 20, 50, 100 and 200 grams; but at the last moment they resort to 1/2K for 500 grams, and 1K for 1000 grams. Yes, they use a capital K with which I agree, but modern usage “style” forbids it. Each quantity again gets its own name: 1 gram, double gram, demi dekagram, 1 dekagram, double dekagram, demi hektogram, double hektogram, and demi kilogram. This time I did not put the integer values next to the names. How did you do at identifying the values from their names? I’m sure the names were completely opaque. The modern nomenclature is much simpler. Remember, this chart was published by a group that was promoting metric, they were trying to help. They were trying to illustrate the simplicity of  “The New System.” This fact serves to imply how complicated are the old weights and measures, by comparison.

For length they offer a four decimeter rule, which I guess is supposed to be a sort of metric foot size of rule. It is marked in decimeters with black and light brown patches which show centimeters, but no millimeters. It does identify that a Half-meter = 5 decimeters = 50 centimeters = 500 millimeters. They also offer a “Double Decimeter” length rule which is divided into centimeters and millimeters.

In my view, these are all artifacts from the era when the metric system was created, but it was not understood how it might best be used. Clearly the chart did not need fractions for the volume, milliliters would have been fine with a reminder that 1000 mL is a liter. None of the names for each volume division are needed, and are not currently used. This probably seemed to make sense in an era where every commercial quantity might have its own measurement unit.  The grams could all have been shown as integers, and again there is no need to name each multiplication of a gram as shown. When illustrating volume, they started with the liter, and subdivided it with fractions. In the case of the gram, they started with it and used integer multiples. In modern use mL and grams make the most sense. We know that 500 mL of water is 500 grams, and the integer values match. The American Metric Bureau’s suggested use of the metric system in the 19th century offered familiarity, but not simplicity. The use of Naughtin’s Laws allows one to make metric the simplest and most intuitive measurement system so far devised. There is however one particularly egregious archaic metric holdout which still haunts our world.

Recently my long-time friend Ollie came upon myself conversing about metric with a few other persons at a table. Ollie has a background in Geology and Paleontology. She related that I should be very happy because at her Paleontology meetings all measurements are metric. I sighed and said “yeah, but I bet they do them all in centimeters.” She began to protest that using millimeters produced numbers that are “too big.” I reached into my pocket and obtained a mm only metric tape measure, extended it, and asked her to find the centimeters on it. She studied it carefully, and was clearly surprised and a bit confused that it existed.

Ollie was getting over a cold and was concerned that I might get it because she handled the tape measure. She ran to a rest room to clean it off. When she returned others asked her what she was doing:

Ollie: “I was washing it off so he would not catch my cold”

Maven: “No she wasn’t.”

Ollie: “Yes I was!”

Maven: “No, she was hiding in the bathroom measuring items with the tape measure and enamored at the simplicity of millimeters compared with centimeters. She just doesn’t want to confess it.”

Fortunately I came to no bodily harm. Ollie changed the subject before I could complete the explanation I had for her. I will now offer it here. Ollie had stated that 31.7 centimeters is easier to state than 317 millimeters. I want you to note how many symbols are used to write each number. There are four symbols in the centimeter expression, that is three numbers and a decimal point. In the case of using millimeters you have three symbols, and no decimal point. This clearly requires less typing or writing when using mm rather than cm. Your mind stops to note the decimal point, but sees the integer as a “packet.”

How do they compare linguistically?  Thirty-one-point-seven centimeters is eight syllables. Three-seventeen millimeters is six syllables. Wait! I might hear you protest, you cheated and did not use hundreds!  Ok. Three-hundred-seventeen millimeters is nine, so it took one more syllable using the hundred designation. Well, that way it is barely longer. I have no studies which compare the linguistic efficiency, but for the most part I think it’s pretty close whether one relates cm or mm values linguistically.

This form of argument was also enlisted against the use of metric pre-fixes, and the metric system in general in centuries past. It was stated the units had too many syllables. Yard or meter, kilometer or mile, micron or micrometer, it’s the same complaint. Actual understanding of measurement quantities is sacrificed on an imaginary altar to some innumerate linguistic deity. The same argument could be made about English in general. Suppose I say “I have a group of books” Why do I need an s? Why can’t I say “I have a group of book.”  The word group clearly tells me there are more than one book–it’s just extra! The great advantage of having the extra prose in a language is that it offers more and redundant information. This provides clarity.  A millimeter, milliliter, and milligram all tell us the division of the base unit is by one-thousand with three syllables. This one syllable shorter than one-thousandth of a meter. One can also directly write down the numerical values from the prose.

As I have said before, the centimeter is but a pseudo inch which is maintained for no good reason and complicates the measurements made by ordinary citizens. It is the hold-out on the 1877 metric chart which has not been exorcised. The centimeter needs to be banished to where-ever the decimeter, decameter and hectometer were exiled over the years. We can get along without them just fine, and with greater ease of use. Is a milliliter and a gram too small of a unit to use?—I never hear that argument. Would you miss the centigram or the centiliter if they were never again used? Then why would you miss the centimeter?—what makes it so special? Reject it! Choose simplicity over familiarity.

Related essays:

Doubling Down

Longhairs

Metamorphosis and Millimeters

Postscript:

The following conversation is from the BBC series Sherlock, “The Sign of Three” shown on Masterpiece Mystery! in the US and aired on 2014-01-26:

Sherlock: “Two Uh..beers please”

Bartender: “Pints?”

Sherlock produces two 500 mL graduated cylinders.

Sherlock: “Four-Hundred-forty-three point five milliliters.”

Apparently only the metric system is accurate enough to provide the perfect amount of beer for the famous detective and his partner Dr. Watson: 443.5 mL.


If you liked this essay and wish to support the work of The Metric Maven, please visit his Patreon Page and contribute. Also purchase his books about the metric system:

The first book is titled: Our Crumbling Invisible Infrastructure. It is a succinct set of essays  that explain why the absence of the metric system in the US is detrimental to our personal heath and our economy. These essays are separately available for free on my website,  but the book has them all in one place in print. The book may be purchased from Amazon here.


The second book is titled The Dimensions of the Cosmos. It takes the metric prefixes from yotta to Yocto and uses each metric prefix to describe a metric world. The book has a considerable number of color images to compliment the prose. It has been receiving good reviews. I think would be a great reference for US science teachers. It has a considerable number of scientific factoids and anecdotes that I believe would be of considerable educational use. It is available from Amazon here.


The third book is called Death By A Thousand Cuts, A Secret History of the Metric System in The United States. This monograph explains how we have been unable to legally deal with weights and measures in the United States from George Washington, to our current day. This book is also available on Amazon here.

They’re Dead Jim

By The Metric Maven

Bulldog Edition

When I think about the group of non-metric units used in this country, it reminds me of a Twilight Zone episode, The Hitchhiker. A young woman keeps encountering a hitchhiker over and over and finally becomes convinced he is trying to kill her. She attempts to run him over,  but fails. She drives without rest and tries to stop only when absolutely necessary, but each time she stops, there is the man, hitchhiking. After a phone call, the woman realizes that the man is not trying to kill her, but she is already dead. He is the personification of death, patiently waiting for her to realize that she had been dead all along.

In my metaphor, the woman is the set of Olde English Units to which we cling. The terrifying hitchhiker is the metric system, patiently waiting for the set of units to realize it is dead. One way to see that the set of Olde English Units we use is dead, is to realize that they have not changed in the last 150 years (actually for centuries in some cases). The metric system has evolved and changed. There have been a few incarnations of metric. The British, who in my view were trying to hang on to a metric system which is as similar to Imperial as possible, created the cgs or centimeter-gram-second system. Long time readers know what I think about using a centimeter, period, let alone using it as the basis for a measurement system. It’s a pseudo-inch system. There was The Metric Technical System (mts) which was based on force rather than mass. Herbert Klein in The Science of Measurement relates:

Systems that are based on force or gravitational units rather than mass units must be supplemented by a separate unit of mass designed to go with the basic unit of weight. In the Metric Technical System, this added mass unit is the metric slug, or hyl (9.80665 kgm)  (page 205)

To confuse matters further there was also another mts, the meter-tonne-second system, which thankfully is now but a historical curiosity. These systems seem to have invoked a strange version of The Implied Precision Fallacy. The idea was that mts is for industry and cgs is for laboratory work, but thankfully SI became the system for all to use—well except in one country.

The mks or meter-kilogram-second system became popular and shows that nature can sometimes produce miracles, a reasonably elegant system from a committee. Even as all the discussion was raging about the metric system and its constituent units, what to add, and what to remove, there was no parallel discussion for the Olde English Units used by the US. Apparently the Anglo-Saxons of the Middle Ages had given us the one and true system of units for all time, perfect and sublime, and no others were ever to be needed. The world it reflects is static. There is one problem with this notion however, the world has changed in ways the 8th and 14th centuries could never have contemplated. First there was the discovery of electricity. This precipitated Mary Shelley into writing the first Science Fiction novel, Frankenstein, which was based on Galvani’s experiments. The discovery of the relationship between electricity and magnetism was a startling and unexpected connection.  This fusion, electromagnetism, was theoretically described by James Clerk Maxwell and was commercialized by George Westinghouse. In 1893, the World’s Colombian Exposition in Chicago placed on display  the wonders of Westinghouse electric lighting for all to see. Nearby, however, another gathering of much greater importance occurred, which is generally forgotten. It is described by Hallock and Wade (The Evolution of Weights and Measures 1906 pg 208):

In 1893 in connection with the World’s Colombian Exposition at Chicago, an International Congress of Electricians was held, and a Chamber of Delegates, composed of officials appointed by various governments, proceeded to define and name the various electrical units.

The US Congress passed an Act on July 12, 1894 which defined and established the units of electrical measure for the United States. These consisted of those agreed upon at the Chicago congress of Electrical Engineers in 1893, which displaced the definition of the ohm which was in use by Great Britain. According to Hallock and Wade in The Evolution of Weights and Measures 1906 pg 207:

At a meeting held in 1884 an international commission decided the length of the column of mercury for the standard ohm, and the legal ohm was defined as the resistance of a column of mercury  of one square millimeter section of 106 centimeters in length at a temperature of melting ice.

This did not win out however when:

…Professor Henry A. Rowland in America and Lord Rayleigh in England, carried on further investigations to evaluate the true ohm, with the result that the length of the mercury column was found to be nearly 106.3 centimeters, which accordingly was adopted by the British Association Committee in 1892, together with the definition of the column in length and mass, rather than length and cross-section.

Well, as I’ve stated in many blogs, they should have used millimeters. The length would have been 1060 mm and changed to 1063 mm with nice round numbers, just like the Australian construction industry.

The ohm, ampere, volt, coulomb, farad, joule, watt, and the unit of inductance, named the henry, after Joseph Henry, were all defined in Chicago. In case you are uncertain of its location, Chicago, is in the United States, near Berwyn. Yes–Berwyn. There were no US representatives trying to define alternative “US Customary” equivalents of the electrical units. No argument for the inclusion of barleycorns, inches or yards in the electrical definitions were contemplated, they were all metric. Electricity,  perhaps the most important discovery since fire, is not described in any way by US Olde English Units. The US Olde English (USOE) units are stagnant and have been since the 14th century. “They’re dead Jim.”  The ohm is no longer defined as it was in the 19th century, using columns of mercury. It was redefined in 1990 using the Quantum Hall Effect. It continues to be improved and changes with the times. Metric units are living units. Olde English Units are Night of the Living Dead units.

Those who misguidedly try to resist the use of metric units in the US, have created a weights and measurements apartheid. There is one set of medieval pre-scientific units for the masses, which separate them from the creations of modern Engineering and Science, and one set of measurements for those educated beyond High School in a technical discipline.

Strangely Americans don’t see this as insulting, but in my view they should. They are locked into a set of units which creates a barrier between the public and the important scientific information needed to make critical public policy decisions. If one is forced to use US Olde English units, one never develops the “feel”  or comfort with metric units, which 95% of the world’s population has when evaluating scientific results. US Olde English Units are so anachronistic, and arrested they cannot, and do not, offer a description of electricity. How can they but act as a barrier between Americans and all the Engineering and Scientific discoveries since 1893? They are all in metric units. Some see this as “freedom,” I see it as state sponsored ignorance, imposed on US citizens, and apologized for by quislings. Herbert Klein, author of The Science of Measurement (page 24) makes this statement, which should have an asterisk, but does not. I have taken the liberty to add one:

Moreover, the tools and techniques of measurement provide the most useful bridge between the everyday world of the layman and of the specialists in science.*

* Except in the United States of America.


If you liked this essay and wish to support the work of The Metric Maven, please visit his Patreon Page and contribute. Also purchase his books about the metric system:

The first book is titled: Our Crumbling Invisible Infrastructure. It is a succinct set of essays  that explain why the absence of the metric system in the US is detrimental to our personal heath and our economy. These essays are separately available for free on my website,  but the book has them all in one place in print. The book may be purchased from Amazon here.


The second book is titled The Dimensions of the Cosmos. It takes the metric prefixes from yotta to Yocto and uses each metric prefix to describe a metric world. The book has a considerable number of color images to compliment the prose. It has been receiving good reviews. I think would be a great reference for US science teachers. It has a considerable number of scientific factoids and anecdotes that I believe would be of considerable educational use. It is available from Amazon here.


The third book is not of direct importance to metric education. It is called Death By A Thousand Cuts, A Secret History of the Metric System in The United States. This monograph explains how we have been unable to legally deal with weights and measures in the United States from George Washington, to our current day. This book is also available on Amazon here.