Today is Palm Sunday, the Sunday before Easter. Palm Sunday commemorates Jesus’s entry into Jerusalem and the beginning of the climax of his earthly ministry.
Jesus Comes to Jerusalem as King
1 As they approached Jerusalem and came to Bethphage on the Mount of Olives, Jesus sent two disciples, 2 saying to them, “Go to the village ahead of you, and at once you will find a donkey tied there, with her colt by her. Untie them and bring them to me. 3If anyone says anything to you, say that the Lord needs them, and he will send them right away.”
4 This took place to fulfill what was spoken through the prophet:
5 “Say to Daughter Zion,
‘See, your king comes to you,
gentle and riding on a donkey,
and on a colt, the foal of a donkey.’”
6 The disciples went and did as Jesus had instructed them. 7 They brought the donkey and the colt and placed their cloaks on them for Jesus to sit on. 8 A very large crowd spread their cloaks on the road, while others cut branches from the trees and spread them on the road. 9 The crowds that went ahead of him and those that followed shouted,
“Hosanna to the Son of David!”
“Blessed is he who comes in the name of the Lord!”
“Hosanna in the highest heaven!”
10 When Jesus entered Jerusalem, the whole city was stirred and asked, “Who is this?”
11 The crowds answered, “This is Jesus, the prophet from Nazareth in Galilee.” (Matt 21:1-11)
Palm Sunday is often celebrated by palm leaves to worshippers in churches. If palm leaves are not available locally, then other tree branches may be substituted. In many churches, the priest or other clergy blesses the palms and they are saved to be burned at Ash Wednesday the following year.
The actual date of Palm Sunday, like Easter, varies from year to year because the date is based on a lunisolar cycle like the Hebrew calendar. The date differs between Western and Eastern Christianity because most Eastern churches still use the Julian calendar for their liturgical year, even though the Gregorian calendar is universally used for civil purposes.
Palm Sunday begins Holy Week or the last week of Lent.
Jesus entering Jerusalem on a donkey (Photo credit: Wikipedia)
A couple of months ago, I discovered the science fiction/horror classic The Nightland by William Hope Hodgson. The Night is a poignant story of love and adventure set in a dying world millions of years in the future. In the Nightland the Sun has long ago gone out and the world is shrouded in an eternal night without even the Moon or stars to relieve the darkness of the night sky. The surface of the Earth is frozen and uninhabitable and life is only possible at the bottom of a canyon hundreds of miles deep where there is still some warmth from the Earth’s cooling core. There the last remnant of humanity survives in a gigantic pyramid-shaped Last Redoubt besieged by monsters and eldritch forces of evil. There is no chance for humanity to break the siege or defeat the evil forces arrayed against it. They can only wait until the Earth Current which powers the defenses of the Last Redoubt fail at last and the evil forces destroy them.
This story has made quite an impression on me and lately, I find myself thinking about endings. Maybe it is because I am getting older and can see the end coming, Maybe current events seem to be pointing towards the decline and fall of the American Empire as we watch. Whatever the reason, I have been thinking about the end of all things.
The Nightland was written in 1912 and so the science in the book is more than a little dated. We now know that the Sun is powered by nuclear fusion, not by gravitational collapse, and is going to continue burning for billions rather than millions of years. We also know that the Sun will grow hotter and brighter as it exhausts its hydrogen, that it will become a red giant and will swallow Mercury, Venus, and probably Earth before settling down to become a white dwarf slowly cooling down to become a black dwarf. The Earth, assuming it survives, will have long since become uninhabitable, and the human race, unless we have colonized other star systems, will be extinct.
But what about the universe as a whole? Assuming we have learned to travel the vast distances between the stars and made new homes on other planets, how long can we expect to survive. How long will the universe last? Will the world in fire or ice, as the poet said?
Well, the universe certainly began in fire, according to current scientific theory. To be less poetic, the universe began in a state of extreme temperature and density being very much smaller than it is at present, perhaps even beginning as a singularity of infinite density and infinitesimal size. From this point, the big bang, the universe began to expand very rapidly in the process, creating the matter that currently makes up the universe.
Since the big bang, the universe has continued to expand, becoming ever larger and cooler. The question of whether the universe will end in fire or ice depends on whether that expansion will continue forever or whether at some point it will stop and the universe will begin contracting back to a hotter, denser state, perhaps all the way back into a singularity. Maybe the history of the universe is a never-ending cycle of expansion and contraction. Maybe the universe will end in fire to rise again from its own ashes like the phoenix
That doesn’t seem to be the case, though. The does not seem to be enough matter in the universe to slow its expansion and in fact, the rate of expansion seems to be accelerating due to a mysterious force scientists call. dark energy. If current theories are true, the universe will end in ice. We are living in a universe that will grow ever larger, colder, darker, and emptier without any definite end. The stars will die out as they exhaust their nuclear fuel and after some time there will not be not hydrogen gas in space to create new stars. The galaxies will be filled with the corpses of stars, bodies of degenerate matter such as white dwarfs, neutron stars, and black holes.
White Dwarf
Neutron Star
Black Hole
Over the limitless eons, the black holes will attract most of the matter in the universe to themselves with their immense gravitational pull, and eventually, the universe will consist almost entirely of black holes.
This is not quite the end, though. Black Holes do not last forever. According to Stephen Hawking, black holes are not entirely black. For complicated reasons having to do with quantum mechanics, black holes actually emit a small amount of thermal or black body radiation. As they emit this radiation, black holes slowly lose mass, until eventually a black hole is unable to hold itself together with its gravity and it explodes. Paradoxically, larger black holes emit less such radiation than smaller ones. At present, a black hole will take in far more matter and radiation than it could possibly lose through Hawking radiation, but as the universe grows cooler and emptier, black holes will begin to lose mass. This will only happen in the far, distant future and the process of black hole evaporation will take an inconceivably long time, but we are talking about such immense stretches of time that all the thirteen billion years from the big bang to the present is just an eyeblink.
The last events that anyone will observe, if any observers exist, will be the very occasional, perhaps once every billion years, death of a black hole. After the last black hole is gone then night will fall and the universe will be shrouded in darkness, eternal and inescapable. Even matter itself, as we know it will no longer exist if protons decay, as some theories suggest.
Or, maybe not. All of this assumes that our current understanding of the laws of nature over the long eons is correct. It may not be. In fact, it is more than a little presumptuous to imagine that we can know what is really going to happen in the distant future. The universe is full of surprises. In particular, not very much is known about the mysterious dark energy that is accelerating the expansion of the universe. The term dark energy seems to me to be a sort of place holder, a short way of saying we don’t know what it is, or anything about it. For all anyone knows, dark energy could reverse itself and cause the universe to contract. Even if our ideas about the future of the universe are correct, they may not be complete. There may be emergent properties in the universe, yet to develop.
To understand what I mean, imagine some form of intelligence arising in the seconds after the big bang. These beings might consider the future of the universe as growing ever colder and darker over such unimaginable lengths of time as days, years, or centuries. They could have no conception that such objects as stars or planets, or even atoms might develop, filling the universe with light and life. In like fashion, it is possible that new forms of matter and energy might develop in the extremely distant future. There could be lifeforms spanning thousands of light-years living for eons who look back on our time as simply the last stage of the big bang, never imagining that anything could live in the dense, hot universe of the past. Perhaps night will not fall, but the universe will continue to be filled with life in forms we cannot imagine.
Maybe the universe will end in fire, maybe in ice, or maybe there will never be an end, just a continual evolution into new and very different forms. Perhaps we will never know.
Today is St. Patrick‘s day and I thought it might be appropriate to write about St. Patrick. So, who is St. Patrick and why does he get a day? Not very much is known for certain about his life. It is possible that his story has been confused with one Palladius, a missionary who became the first bishop of Ireland. Still, Patrick wrote a short autobiography called “The Declaration” or “The Confession” as part of a letter which seems to be genuine.
Get out snakes!
Patrick, or Patricius was a Roman who lived in Britain. He may have been born around 387 and lived until 460 or possibly 493, so he lived during the twilight of the Roman Empire in the West. At the age of 16 he was captured by raiders and enslaved. He worked as a shepherd in Ireland for about six years. He managed to escape and return to his home, but then he became a priest and returned to the land where he was a slave and worked to convert the pagans to Christianity. He seems to have been very successful during his lifetime, though there were many other missionaries in Ireland. He helped to organize the Church in Ireland and is supposed to have traveled to Rome to seek the Pope’s assistance in this endeavor.
According to legend, Patrick died on March 17, so that date has become his feast day. He has never been officially canonized by the Roman Catholic Church. He became known as a saint long before the modern procedure for canonization was developed. He is, obviously, the patron saint of Ireland, and also Nigeria, Montserrat, engineers, paralegals, and the dioceses of New York, Boston, and Melbourne.
There are many legends about St. Patrick. The most widely known is that he chased all the snakes out of Ireland, thus ruining the local ecology. Another is that he used the example of the three-leaved shamrock to illustrate the trinity.
Happy St. Patrick’s Day to all the Irish, and Irish at heart, out there!
English: Pi Pie, created at Delft University of Technology, applied physics, seismics and acoustics Deutsch: Pi Pie (π-Kuchen), hergestellt an der Technischen Universität Delft (Photo credit: Wikipedia)
For all of the nerds out there, including me, today is international Pi Day, the day when we celebrate our favorite mathematical constant. Pi Day is best celebrated by pi memorization contests, walking in circles, and, of course, eating pies, or is it pis? I think I will celebrate by writing a little about pi.
Pi or π is, as everyone should know, the ratio between a circle’s diameter and its circumference. Pi is an irrational number. By this, they do not mean that pi makes no sense but rather that pi is a constant that cannot be expressed as a ratio of two integers. Numbers like 2 or .445 or 1/2 can be expressed as a ratio of two integers and so are rational. Numbers like pi or the square root of any number that is not a perfect square, the square root of 2 for instance, are irrational. An irrational number expressed in decimal form never ends or repeats but continues to infinity. Thus, there can never be a last digit of pi.
The symbol π was first used by the mathematician William Jones in 1706 and was popularized by another mathematician, Leonhard Euler. They chose π, the Greek equivalent of the Latin letter p because it is the first letter of the word periphery. Π, by the way, is not pronounced “pie” in Greek but “pee”, just like our p. I don’t think that international “pee” day would be nearly so appealing.
Although the symbol for pi is relatively recent, the concept is very old. The ancient Egyptians and Babylonians knew about it. Pi is even mentioned in the Bible.
23 He made the Sea of cast metal, circular in shape, measuring ten cubits from rim to rim and five cubits high. It took a line of thirty cubits[o] to measure around it. 24 Below the rim, gourds encircled it—ten to a cubit. The gourds were cast in two rows in one piece with the Sea. (1 Kings 7:23-24)
Properly speaking, the line around the “Sea” should have been 31.5 cubits but the ancient Hebrews were not very knowledgeable about geometry and measuring techniques were crude.
There is no particular reason to calculate pi to so many digits. No conceivable application of pi would possibly take more than 40 digits. Still, the challenge of calculating pi to the farthest digit possible has been an irresistible one for mathematicians over the years.
Around 250 BC, Archimedes was the first mathematician to seriously try to calculate pi. He used a geometric method of drawing polygons inside and outside a circle and measuring their perimeters. By using polygons with more and more sides he was able to calculate pi with more precision and ended determining the value of pi as somewhere between 3.1408 and 3.1429. Archimedes’s method was used in the west for more than eighteen hundred years. The Chinese and Indians used similar methods. The best result using the geometric method was the calculation of pi to 38 digits in 1630.
With the development of calculus by Isaac Newton and Gottfried Leibniz in the 1660’s, it was possible to calculate pi using infinite series, or the sum of the terms of an infinite sequence. The best calculations with these methods were done by the mathematician Zacharias Daze who calculated pi to 200 places in 1844 and William Shanks who spent fifteen years calculating pi to 707 digits. Unfortunately, he made a mistake with the 528th digit. Meanwhile, in 1761 Johann Heinrich Lambert proved that pi is irrational.
Computers made the calculation of pi much faster so pi could be calculated to more digits. ENIAC calculated pi to 2037 places in 1949. This record didn’t last long. A million digits were reached in 1970. As of 2011, pi has been calculated to 10,000,000,000,050 places.
Pi is not just used in geometry. There are a number of applications of pi in the fields of statistics, mechanics, thermodynamics, cosmology, and many others. Here is a list of just some of the formulae that use pi. It seems you can find pi everywhere.
With that in mind then, happy pi day! For your enjoyment here are the first thousand digits of pi.
You would think that the late-night show comedians would find all sorts of fodder for comedy in the ongoing campaign to cancel anything and everything that might possibly be the slightest bit offensive, especially such silliness as putting warnings on the Muppet Show and canceling six Dr. Seuss books, but you would be wrong. According to this recent article at the blog Hollywood in Toto, the comedians didn’t find the cancellations worth making fun of. Instead, they mocked those silly conservatives who just don’t see the necessity of eliminating every vestige of racism from our culture and who imagine there is really some sort of cancel culture going on.
It goes without saying that today’s late night comics won’t mock the new Biden administration.
They’ve made it crystal clear their shows are progressive propaganda first and foremost. Speaking “truth to power” comes in a distant second. Some nights it ranks dead last.
These comedians still could, in theory, pay attention to the culture wars attacking beloved institutions. Take Disney+ inexplicably slapping warning labels on classic episodes of “The Muppets.” Just this week the Dr. Seuss estate decided to stop publishing six of the author’s works because a very select few believe they contain racist imagery.
The far-left “Late Show” host chortled about the Dr. Seuss cancellation, ignoring the decades of joy his books have given children across the globe.
Nothing to see here, folks. Move along.
“It’s a responsible move on their part … they recognize the impact of these images on readers, especially kids,” he said. What impact? Kids have read these books for decades without any impact save giggles and hugs from their parents.
So Colbert is firmly on the side of the cancellers and the censors. I guess he is less a comedian than a propagandist. That might be why he is not very funny. Comedy, by its nature, tends to be subversive. Authoritarian comedy is seldom very funny.
But it is this next part that made me stop and think.
He then cued up Fox News clips to mock anyone calling this another “Cancel Culture” moment.
If you’re worried your books shelves just got a bit duller, he advised, why not add tomes written by authors of color to cushion the blow?
“It’s fun to read books written after the ’40s,” he said with a twinkle.
Authors of color? What kind of an idiot selects books based on the color of the author? All last month, during Black History Month, Amazon kept offering me suggestions for Black authors I might be interested in, I wasn’t the slightest bit interested. My reasons for choosing a book to read simply do not include the race of the author. For nonfiction, I want a book about a subject I am interested in learning about and I want the author to present the information clearly and interestingly. For fiction, I want an interesting and entertaining story with characters I can relate to. I do not see how, in either case, the race or nationality of the writer matters at all. I could not possibly say how many of the books I own were written by authors of color. I would have to pull down each book from the shelf and look to see if there is a picture of the author on the cover to get an idea. I am not that interested.
As for the comment about books written since the 1940s, well many of my favorite authors, J. R. R. Tolkien, C. S. Lewis, George Orwell, wrote their best works during the 1940s, and most of the greatest books ever written were written decades and centuries ago. I am not sure if there have been all that many books that have been written in recent years that can compare with the great classics, certainly, none that have, as yet, stood the test of time. If the censors and the wokescolds have their way there won’t be any books worth reading at all.
So, what kind of a person chooses books based on the color of the author? Maybe the sort of person who buys Books by the Foot. The sort of superficial person who is not so interested in the ideas contained in books as much as impressing people by seeming to read the correct books. Why else would someone care about the race or color of the author, than to demonstrate that they are woke or politically correct in their reading and thinking? Maybe the sort of person that becomes a late-night propagandist.
As for me, I am going to keep on reading the books I want to read and am going to ignore the suggestions from Amazon and Stephen Colbert that I should read authors because of their color because, unlike the people on the left, I am not a racist.