Time keeping

One interesting predecessor to unified measurement and standardisation is that of time. Most people might not be aware how puzzling it is that, as of now, across the whole planet we share a common timekeeping system spread throughout most societies of the world. When you look at your watch, you see it divided into 12 or 24 segments, denoting hours, and each hour is divided into 60 units, called minutes. Again, each minute is divided into 60, and we call that division a second. None of this is new to you, but what should surprise all of us is that it is not surprising for most people on the planet! And that’s just it—seconds are the basic unit of measurement of time across the entire world. Why, and how this fact came to be, is not a given. In fact, timekeeping is an extremely aberrant, arbitrary, and silly system if we compare it to the more common numerical system in divisions of 10 (we will see the metric system later on). Why aren’t there 100 seconds in a minute, 100 minutes in an hour, and 10 hours in a day? We could all stop dividing by 60! Our system seems complicated, and it’s not only our adult selves that feel so. My father, who has worked in the educational system all his life, told me that children learn the decimal system quite quickly; however, it takes them much longer to internalise timekeeping. You might have experienced this difficulty yourself as a child, or seen it in your own children if you’ve raised them. Then why does this strange and somewhat difficult system not only exist but is also the same everywhere? Didn’t other parts of the world create different timekeeping systems that made more sense? Why are these no longer around? As we will see, in large part it is because our current international timekeeping standard comes from one of the oldest measures.

Timekeeping is quite common across cultures—perhaps it is a human universal. The easiest division of time is into days, as it is a cycle that dominates all our actions in life, especially our sleep cycles. The next division of time across cultures is usually the cycle of the moon. About 29.3 days have to pass for us to see the moon in the same phase and position in the sky. This moon cycle gives us a close approximation to our current month lengths of 30–31 or 28–29 days. The third rhythm that many cultures pick up on is the annual cycle of the Earth orbiting the Sun. For higher latitudes in both hemispheres, that annual revolution—together with the tilt of the Earth’s axis—gives strong variations between seasons. Days become noticeably longer and shorter along that rhythm, and the weather and natural world follow these changes, with cold during the short days, and heat during the long days. In tropical latitudes, where the variation in the length of the day is not as pronounced, the coming and going of the rainy seasons usually plays a similar role to the cold and hot cycles. In short, most humans around the planet adopted these three naturally occurring cycles as the basic units of time division. When combining the Moon and Sun cycles, this gives us the numbers 12 and 13—i.e. the number of lunar months in a solar year. But this concerns the calendar more than the clock.

We have two main methods of temporal measurement: the calendar and continuous timekeeping, which could in principle be independent of natural cycles. But the calendar is a kind of timekeeping and has given us two numbers to play with. The number 12 is prominent in many counting systems; it even has a specific name in English: a dozen. The number 13, not so much—it is even seen as a “bad luck” number in some cultures. Why is 12 popular and 13 hated, then? This difference is also due to boring calculus. It is easy to divide 12 by 2, 3, 4, and 6. Try doing that with 13—any luck? If you remember your prime numbers, 13 is one of them—only divisible by 1 and itself. Probably, most nerdy ancient people who had to do the tedious task of measuring time preferred the “neat” 12 instead of the unfriendly 13.

But why 60, then, for continuous timekeeping on a watch or clock? Why the 60, 60, 24 division?

We need to start talking about the Babylonians, and how they counted. How do you count using your hands? Most of us would count the number of fingers on each hand, up to 10. But one can increase the amount that can be counted by using the phalanges in each finger. If you count them on the four longer fingers of one hand, that gives you 12—once again this neat nerd number derived from solar and lunar cycles. Then, what better number to divide the daylight hours than 12? But there are an equal number of hours in the night (in equatorial regions), so the number of hours when the sun is out is roughly the same as when the sun is away. If daylight is 12 units and night is 12 units, that gives us the universal 24 divisions of the day: the infamous hours.

Then the 60. Going back to the Babylonian counting, if you count a dozen on, say, your left hand, and on your right hand you keep track of the number of dozens by flexing one finger each time, that gives you five dozens—or a total of 60. If we divide that hour into 60, we get the infamous minutes. The punchline, however, is that despite the importance of 12, the Babylonian sexagesimal system was based on six groups of ten, not five groups of twelve! In any case, that sexagesimal system is the basis for the 60 divisions—or hexagesimal—which the Babylonians also used to divide a circle into angles, another of the universal measures we will examine.

Why the infamous seconds exist, and are simply 60 divisions of a minute, is not such a clear story. Why wasn’t it a division of 10, or 100, or 24? The subunit of a second—a millisecond—is divided into 1,000 units, so 60, although used to define the minutes from an hour, had no need to be used again. What might explain the 60 seconds is another natural unit, quite random at that: the standard resting human heartbeat. If you measure your heartbeat after a period of rest, or just after waking up, there is a high likelihood that you’ll have just over 60 beats per minute.

However the infamous seconds really came to be, the Babylonians standardised them, and due to their central location, vertebrating the Africa–Eurasia connection, seconds, minutes, and hours spread. The large-scale societies around Babylon—such as Egypt, the Greeks, one of their successors Iran, and the polities of the Indian subcontinent—adopted the Babylonian system early on. Crucially, it spread to all the European nations, who then forced it into the administrative apparatus of their colonies, which, as we have seen, covered most of the planet. Even the Chinese adopted a version of the Babylonian sexagesimal division when the Ming dynasty commissioned Xu Guangqi in collaboration with the Jesuits to adapt the Gregorian calendar and timekeeping to the imperial system. Although this reform was only officially adopted during the Qing dynasty in the mid-17th century, it was partly influenced by the Jesuit Johann Adam Schall von Bell and his improved methods of predicting eclipses. Astronomy, we must remember, was deeply linked to astrology in both European and Chinese courts, and astronomers performed the functions of astrologers in advising rulers.

Calendar

Concerning the universality of the Gregorian calendar, it also seems a convoluted, silly, arbitrary system. Why are some months longer than others? Why is your birthday on a Tuesday one year and on a Friday another? There are vastly superior calendar systems out there. Though, some of these alternatives tend to require the addition of a 13th month and a bizarre annual “blank day”, which doesn’t go on the calendar at all. We just chill out, have a holiday, and pretend it’s not there.

The Gregorian calendar has a complicated and protracted history. All the successors of the Roman Empire, and the Christian churches, used the Julian calendar until AD 1582. The Julian calendar, as the name suggests, comes from the Julius Caesar. He borrowed it from the Egyptians and imposed it on the Roman Republic as a more stable alternative to the Roman system. The Catholic Church adopted the Julian calendar at the First Council of Nicaea in AD 325. However, Christians had conflicting ideas on how to celebrate Easter, and it took nearly half a millennium before most Christians agreed to follow the Nicaea rules. In the Egyptian calendar, once every four years a day is added to February. That’s the year when February has 29 days—and some people still joke that those born on that day don’t get to have birthdays.

The problem with adding one day every four years is that, after a few centuries, it messes up the seasons—meaning that the spring and autumn equinoxes, and the summer and winter solstices, begin to drift on the calendar. By the 16th century, this was still a minor issue (only ten days had shifted in 1550 years), and it didn’t seriously affect agricultural practices. However, the motivation for change was religious: the Catholic Church was concerned that Easter might not be celebrated in accordance with the scriptures. Easter follows a lunisolar rule, which causes the date to shift every year: it must occur on the first Sunday after the first full moon of spring. This meant that, technically, Easter could end up being celebrated in winter if the calendar drifted too far—risking some sort of cosmic blunder. It wasn’t equally important for all Christians, as many Eastern Orthodox churches still follow the Julian calendar.

Some sectors of the Catholic Church pushed for reform early on. In the late 15th century, the man chosen to oversee it was a German mathematician with the wonderful name Regiomontanus (Latin for “royal mountain”). Unfortunately, he died before the reform could be implemented. A century passed, during which all the Protestant wars took place. In the aftermath, a diminished Catholic Church finally agreed to set the new calendar—approved by Pope Gregory XIII, who gave the calendar its name. But the Pope could only set the liturgical calendar for the Church. The civil calendar—used by governments—had to be adopted by each administration. Moreover, the emerging Protestant denominations were deeply sceptical of anything coming from the Pope and were not eager to adopt a “papist” invention, even if it made sense. The Puritans even tried to ban Christmas for being too Catholic.

Nevertheless, Catholic powers and administrations such as the Polish–Lithuanian Commonwealth, the Kingdom of Spain (which then included Portugal and most of Italy), and France, as well as their colonies and dependencies, adopted the Gregorian calendar as their administrative standard. Parts of the Netherlands under Spanish control (now Belgium) also adopted it; the rest of the United Provinces followed over the next few decades. So did the Holy Roman Empire, including Austria, Hungary, Bohemia, and many of the German states.

Some Protestant nations, like Denmark and Sweden, also adopted the Gregorian calendar relatively early. Though Sweden did so in a somewhat chaotic way—switching to the Julian calendar, then to the Gregorian, then back again, and finally settling on the Gregorian in 1752, the same year Britain and its colonies adopted it. To avoid referring to the Pope, the British called it An Act for regulating the Commencement of the Year, and for correcting the Calendar now in Use. For years, Swiss towns just a few kilometres apart had calendars ten days out of sync—allowing people to celebrate Christmas or Carnival twice in one year!

Later on, Eastern Orthodox countries such as Greece, Serbia, and Russia adopted the Gregorian calendar for civil purposes, though many retained the Julian calendar for liturgical use—or switched to the “New Julian” calendar, making things even more confusing. This is why people in Moscow celebrate Christmas on 7 January (in the standard Gregorian calendar). Others, like Ukraine, have switched to the Gregorian calendar entirely.

The Gregorian calendar is now the de facto global calendar—though it was never formally agreed upon. Administratively, all European countries and their colonies adopted it. Even the Chinese, as we’ve seen, integrated it into imperial systems. Of the few non-colonised countries, only Nepal, Afghanistan, Iran, and Ethiopia still use different civil calendars. Others like Japan, China, Thailand, and Saudi Arabia eventually adopted the Gregorian calendar for administrative purposes—Saudi Arabia only doing so in 2016! Some of these countries still use different systems for counting years or determining the New Year, but their months, leap years, and weekdays follow the Gregorian calendar. In many places—such as the Orthodox Christian and Muslim worlds—two systems coexist: one for liturgy and another for administration. Only Iran’s Solar Hijri calendar, or Shamsi, is more astronomically accurate than the Gregorian. It sets the start of the year to within a second of the spring equinox on Iran’s standard meridian at 52.5° East.

Finally, most international institutions—the United Nations, the Olympics, global research networks—use the Gregorian calendar, reinforcing its role as the de facto global timekeeping standard. Timekeeping—both in hours–minutes–seconds and in calendar form—illustrates how ancient measurement systems, copied or adapted from long-gone administrations like Pharaonic Egypt and Babylon, are still with us and have become near-universal norms, despite never being formally imposed on the entire world.

Later we will see that something like “timekeeping” is not so unquestioned. And that this seemingly universal but rule-less agreement on time has also undergone standardisation—and even the creation of global institutions, as we will see in the case of standard time and the truly infamous leap secondimagine scary quotes. Like the second, double globals, in use and in institunionalised, is what we will need to pay attention to when asking these texts question.

Previous

Next

Revolutions, Scientific Revolutions

The peoples that embarked and supported the exploration of new trading and colonising routes soon discovered that the free-riding of the technological advantage could be easily perpetuated. Thanks to that, the ones that invested in better and faster understanding of the world, plus the technical innovations that that understanding and implementation represented, contributed to a further control of the world’s connectivity. From that on, there were no major barriers to a hyperconnected world. What they could not control by exchange, they would control by overpowering, as the conquest of Malacca, the Aztecs, the Incas demonstrates. If you kept on expanding your technological and resource allocation dominance over other peoples, your system would be the one to dominate, and that’s exactly what the Western nations did over a period of a few centuries.

New trading routes led to an excess of wealth that could be poured into more navigational sophistication, which in turn would make the trading networks more reliable and affordable, freeing more resources for further improvement. Part of these resources went to the birth of modern science, changing forever the way our understanding of the world was established.

To make a boat sail safely from port to port you would rely less and less on divinity and more on your instruments, navigational skills, the capacity to understand the sky, star positions, read the winds, proper sails, masts, ropes to withstand storms, carrying lemons to stop scurvy, social structures to govern a ship and stop mutinies, etc. Those powers that would put scientific knowledge to good use would have in their hands better control of the high seas and the peoples cruising them. Likewise, those who understood better the fabrication techniques could build better vessels, and equip them with better weapons. On the other hand, the faraway encounters would contribute to the scientific understanding of the world, like sea currents, Volta do mar, steady trade winds, or even catamaran technology from the Pacific and front crawl swimming techniques from North, South America, or South Africa.

In fact, Columbus’s error regarding the radius of the Earth (which he was convinced until he died) was due to the preliminary stages of scientific knowledge attempting to describe the world we lived in. In that case, he was mistaken, but the geographers’ community soon recognised the error and corrected it (or lent more credibility to other estimates circulating at the time). This iterative process helped to better understand the world that was opening up before them as they tried to cartograph the new routes faster than they were explored.

From these explorations and shocks to the perceived worldview, it is not difficult to imagine that the notion of an entire landmass the size of the Americas suddenly appearing on maps (over about 20 years) might have led to the acceptance of rethinking the entire Universe. If the Earth contained a whole part of itself that was unknown to the Old Scriptures, how much more knowledge might be out there—waiting to be found, explored, and understood—not through the lens of the Scriptures, but through the lens of something new? These cartographic shifts might easily have been the seeds for scientific enquiry—the seed of the Scientific Revolution.

In fact, it is interesting to reflect on that word, “revolution.” What does it stand for? It comes from the root “to revolve”, which means to spin around. Why—if an entire continent had been missed, and Jerusalem is not the centre of the Earth—could it not be that the Earth is not the centre of the Universe either? That kind of thought might have helped Copernicus push the heliocentric idea: that the model best suited to describe the Universe is not a geocentric one, with the Earth at the centre, but one with the Sun at the centre of the known cosmos. Copernicus was not the first to propose that idea; the Pythagoreans had already supposed the Earth might move, and Aristarchus of Samos proposed a heliocentric model in the 3rd century BCE. Seleucus of Seleucia said something along the same lines in the 2nd century BCE. About 600 years later, in the 5th century, Martianus Capella, from Roman Carthage, proposed that Mercury and Venus spun around the Sun. At about the same time, Aryabhata in Patna, India, proposed that the Earth spins and that the planets orbit the Sun. In the 12th century, Ibn Rushd (Averroes) and Nur ad-Din al-Bitruji of the Cordoba Caliphate were also critical of the geocentric model and proposed alternatives. Their views spread into European intellectual spheres. However, none of these theories gained much traction at the time they were proposed. One can say that the mindset of the people of those generations was not particularly open to such a shift in worldview, nor was it needed for any practical purpose.

To be open to other worldviews becomes more likely if a sweeping 30% extra landmass is literally put on the map. The same world that the Scriptures plus Classical Philosophy were so certain they understood. Even though the Catholic Church did not pay much attention to the fact that the world was different than said, surely minds would become more open—even if obtuse. Moreover, those same conceptualisations ended up making navigation more precise. And the required navigational observations and technical means (star and planet positions, astrolabes, compasses, telescopes, clocks…) helped to question the worldview in a more rigorous way—with the newly discovered facts holding more face value than old beliefs. In short, cosmological views came to serve a practical purpose.

Therefore, the landscape was set. After Europeans became aware of a New Continent, Copernicus was able to push his idea (initially as a short leaflet in 1514), and later publish, after his death, his De revolutionibus orbium coelestium. His heliocentric model was not the one we know today. Copernicus’s model was not that innovative, nor significantly simpler than the Ptolemaic one, because he still needed the use of epicycles (small circumferences around the circular orbit of the planets) to accurately describe the rotation of the planets around the Sun. It would be Kepler—about 70 years later—who, after throwing out his own Mysterium theory of planetary movement because Tycho Brahe’s observations did not match, solved the motion of objects in the Solar System with simple elliptical orbits and delivered us pretty much the view that we now have.

Even after the heliocentric vision of the World was presented, the conviction of perfectly circular orbits was not abandoned, here a drawing trying to explain the elliptic orbit of the moon (Luna) around the Earth (T) with three epicycles. Calculations according to Schöner’s Tabulae resolutae and Reinhold’s Prutenicae Tabulae in lecture notes from 1569

The difference with all the previous scholars—after Copernicus’s posthumous publication—proposing that the Earth was not static, was that the public at the time was much more accepting of the revolution of the Earth thought. A thought that would be revolutionary!

Revolution, at the time, had the meaning that Copernicus used in his title: simply the spinning around of the celestial bodies—how they revolved around the Sun. Revolved, revoluted, revolution. It was a physical description, like that of the revolutions or cycles of an engine, or as one famous revolutions podcaster puts it, “coming full circle”, just to come back to the beginning. Revolution did have, on rare occasions, the meaning of change prior to Copernicus’s work. However, the acceptance of heliocentric theory by the public of the time. It was so disruptive to the mindset of the age, overturning millennia of knowledge and worldview—so Earth-shattering (pun intended)—that the first main word of the work itself, revolutionibus, was adapted less than a century later to mean the overthrow of a political system (the Glorious Revolution in Britain). When transferring the physical meaning to the political one, revolution meant “a circular process under which an old system of values is restored to its original position, with England’s supposed ‘ancient constitution’ being reasserted, rather than formed anew”. At that point the use of the word was far form the meaning that it has now, as a radical new direction, or changing of course of what was before. Soon after, however, the word gained the modern concept of revolution, as used for the French one, which probably someone has heard about. Now revolution is more widely understood as the shattering of a previous political, social, technological—or otherwise—system, and the establishment of a new one: the Glorious Revolution, French Revolution, Industrial Revolution, Agrarian Revolution, Sexual Revolution…

It could be that the people at the time—after the Earth had been kicked aside, given rotation, put in orbit around the Sun, and the stars made still—experienced a mental shift so profound that it allowed for a reshuffling of many pre-existing mentalities. Maybe it can be compared to the shattering effect, almost a rite of passage, that many children in the Western world experience when they realise that Santa Claus is not a real being, but a construct created by society to make them believe that the bringer of presents is this exotic figure from faraway lands, and not their parents or families. For the child, it is already a big impact—and if you experienced that, you probably remember the moment, even if it was decades ago. Then imagine if instead of just one child at a time, it were an entire society realising, more or less simultaneously (within a generation), that the reality they had so strongly believed to be true, no longer was. That is what the so-called Copernican Revolution brought to European thought in the 16th century: a collective, mind-shattering effect. We, as humans, have been toying with these moments ever since. But more about that later.

In fact, the public that was more open to these ideas was also in the midst of another revolutionary movement, which at the time was called a protest, for lack of a better word: Protestantism. If the world, the solar system, the Universe, the Cosmos, was not as the Church claimed—with extra continents unaccounted for, the Earth in motion, and stars being other suns, perhaps with other Earths—then the Church became open to protest and reform. And if protest and reform were possible, then the acceptance of truly exotic ideas—like the Earth revolving—became easier in a society already undergoing profound transitions. In fact, different solar system models were readily adopted by Tycho Brahe and Johannes Kepler, Danish and German astronomers sponsored by Protestant-friendly kings. Meanwhile, Latin astronomers such as Galileo Galilei and Giordano Bruno had major conflicts with the Catholic Church in Northern Italy—Galileo famously tried, Bruno burned at the stake. Bruno’s seven-year trial and sentence to be burned alive was not specifically for his belief that the stars in the sky were other distant suns orbited by other planets, but also because of his rejection of most Catholic doctrines.

The difference between Copernicus in the 16th century and all those who proposed alternative cosmological systems before might be that society was more open to new ideas because of empirical slaps in the face—steadily, repeatedly, forcefully. First, sailors and their investors realised that direct observations could actually shift reality—such as the discovery of a continent, accurate measurement of latitudes and longitudes, and the real size of the Earth’s circumference. Second, astronomers and their sponsors (who were often astrologers for European courts—better predictions meant better horoscopes; the zodiac pays for your smartphone, if you think about it) found that when your health or the outcome of a war depends on the conjunction of Saturn and Jupiter, and your astronomer looks through a telescope and tells you that these planets have rings and moons orbiting them, you might predict better when to wage your next war. Third, traders could more precisely calculate profits or invest in new products—like new dyes and pigments (e.g. scarlet), or learning how to plant species such as pepper, potatoes, tomatoes, tobacco, coconuts, sugar cane, among others, across the world. Actual measurements began to overturn established doctrines one after another; these facts reinforced the critiques of the old system and laid the foundation for an alternative system of establishing knowledge. The Scientific Revolution went hand in hand with the development of better instruments and measurements that define the modern world we experience today.

It was equally important that these new ideas travelled and multiplied faster than ever before. On one hand, naval interconnectivity regularly reached all continents and the major inhabited landmasses of the planet. From there, peoples—willingly or unwillingly—became part of a shared system of exchange, a process that continues today, where nearly every human being is regularly connected to the rest of the world in one form or another. Our present hyperconnected world is extending the reach and frequency of connection to ever more remote places. On the other hand, the printing press allowed for the multiplication of ideas at a rate faster than authorities could suppress them. Even if the works of figures like Copernicus or Bruno were censored, confiscated, destroyed, or burned, it was much more likely that one copy would escape, be read, and be copied again. Before the printing press, Protestant ideas—like those of the Hussites in the 15th century—did not spread far beyond their place of origin (e.g. Bohemia). Later, Prague—with its famous astronomical clock—would host Brahe and Kepler. On the other end of the chain, at the point of reception, Spanish missionaries actively protected indigenous languages (while simultaneously suppressing their cultures) in regions such as Mesoamerica, the Andes, and the Philippines, to prevent indigenous peoples from being exposed to “dangerous” Protestant, Enlightenment, or revolutionary ideas. To this day, these regions preserve some of their linguistic diversity and remain heavily Catholic, with the Philippines being the only nation (alongside the Vatican) that does not permit divorce.

Our hyperconnected and idea-copying world is the one that gave birth to the concept of humanity—a “humanity” that can now begin to ask itself what it wants to do, now that we have the means to communicate with one another, and the resources (or energy levels) to invest a fraction of that energy in specific goals. But before asking that question, we first need to understand the mechanisms by which a hyperconnected people is able to pose it: which networks are activated, in which language communication occurs, with whom that exchange is implemented, and what actions can—or cannot—be taken. What is the agency?

Curiously, one of the early adopters of Copernicus’s thesis was Thomas Digges, who removed the need for the sphere of fixed stars. He proposed the existence of distant stars scattered throughout the Universe. This led him to raise the paradox of the dark sky: in an infinite Universe filled with stars, the sky should look like the surface of the Sun, because in every direction there should be at least one star. Since the sky is black, the Universe cannot be infinite. With that in mind, the Copernican Revolution—which displaced us from the centre of the Universe—is still not complete. It is geographical, but not temporal. Heliocentrism kicked the Earth and its peoples out of the centre of space, but the dark sky placed us in a special time—a time when we can still see the horizon of the visible Universe. Now we are in another special time—the time when humanity is conceptualised. The time to ask: what does humanity want?

Previous

Next