Recursive Sequences and Language

Recursive Sequences and Language - Pileated Woodpecker
Pileated Woodpecker

One of the most interesting differences between animals and humans is language. All animals communicate, and most animals that humans relate to use sounds to facilitate their communication. In recent studies, researchers have suggested that the use of recursive sequences by monkeys and crows is a type of language. However, communication and language are not the same.

The dictionary definition of recursive is “doing or saying the same thing several times in order to produce a particular result.” The newest research shows that crows and monkeys use recursive sequences at a level comparable to what a three or four-year-old child would do. There are a variety of explanations as to why these animals use recursive sequences, but this does not mean that crows and monkeys are using language or that they possess culture or express identity.

A woodpecker likes to pound on the flashing of my chimney
with such enthusiasm that people can hear it throughout the neighborhood. This is communication warning all other woodpeckers to stay out of his territory. Likewise, the cardinal that sits in a bush near my office window “sings,” but the song is a warning, not an expression of language or music.

The dictionary defines language as “a system of conventional spoken, manual (signed), or written symbols by means of which human beings, as members of a social group and participants in its culture, express themselves. The functions of language include communication, the expression of identity, play, imaginative expression, and emotional release.”

The Bible defines humans as beings uniquely created in the image of God. This is a spiritual definition and does not involve intelligence or skills. We see the spiritual nature of humans in a variety of characteristics. Those include our creative ability in art and music, self-concept and recognition, and the ability to feel guilt, sympathy, and empathy. Those are all manifestations of the spiritual nature of humans. Recursive sequences may or may not be among these characteristics, but they are not a singular indicator of being human. Because of our spiritual nature, humans also have the capacity to worship and envision life beyond death.

— John N. Clayton © 2022

Reference: https://dictionary.cambridge.org.

Difference Between Pain and Suffering

Difference Between Pain and Suffering

One of the attributes unique to humans is the ability to suffer. You may think the words “suffering” and “pain” are synonyms, but they describe different things. The difference between pain and suffering demonstrates the uniqueness of humans.

Pain is a physical characteristic of almost all living things. It is easy to show that when a nervous system experiences a violent stimulus, it produces an electric signal. For animals, the nervous system is connected to a muscular system that frees the organism from damaging stimuli. This design is present in all members of the animal kingdom to protect them from being wiped out by predators or destructive environmental agents.

The difference between pain and suffering shows us that suffering is a different response and serves a different purpose. Romans 8:16-18 tells us that Christians are joint heirs with Christ and that Christians will suffer with Christ. This means that “the sufferings of this present time are not worthy to be compared to the glory which shall be revealed in us.” It is obvious that not all Christians have been physically crucified as Jesus was.

In 2 Corinthians 1:5-7, Paul writes, “For as the sufferings of Christ abound in us, so … we endure the same sufferings … for your salvation and our hope for you is knowing that you are partakers in the suffering.” In Philippians 3:8-10, Paul says that he has suffered the loss of all things and refers to the fellowship of His sufferings. In Colossians 1:24, Paul talks about his sufferings for the church in Colosse. Hebrews 2:10 refers to Christ enabling his followers to be made perfect in their salvation through sufferings. Christ himself, according to Hebrews 5:8, “earned obedience by the things he suffered.” This theme is repeated in 1 Peter 1:11, 4:13, and 5:10.

The context of all of these passages is clear. There is a difference between pain and suffering. We are not talking about physical things like being burned, scourged, tortured, or beaten. The early Christians did endure those things, but that is not what the passages above describe.

The simplest example of the sufferings described is what we endure when we have what we call a broken heart. Having heartbreak does not refer to something physical. Most of us who have had our hearts broken would be glad to take a beating instead. A physical beating does not last long. I have had physical pain from a beating, but that pain is a distant memory. The heartbreak of watching my wife die is still heavy upon me, even though it happened more than a decade ago.

Being a Christian in today’s world shares some of the sufferings that first-century Christians endured. Some of us have suffered being rejected and disowned by family. Others have lost good jobs because of their faith. Speaking out in favor of Christ and Christianity, in general, can result in verbal abuse, ridicule, ostracism, exclusion, and rejection. This suffering is real and scars you emotionally and sometimes spiritually.

Animals do not show any evidence of the kind of suffering we have described. Animal behavior is based on food and instinctive drives to reproduce. Guilt, empathy, and sympathy are not part of animal behavior. Claims of grief in animals such as elephants may or may not be real. If it is real, it is based on the social structure of the pack or group and not because the animal is suffering from the memory of a loss that will extend for the rest of the animal’s life.

We can see the difference between pain and suffering in humans because we have a unique spiritual makeup that allows suffering and enables us to relate to the suffering of others. Because we are created in the image of God, we can understand how an agape type of love is possible. That is why Christianity is the one hope the world has for the peace of all people. Your soul suffers, and this suffering can last a lifetime. We need to help animals avoid pain, but human empathy is what may someday foster world peace. That hope is always before us and is unique to humans.

— John N. Clayton © 2022

Bird Brains and Efficient Neurons

Bird Brains and Efficient Neurons
A Macaw has a 20-gram Brain

In the 1950s, if you wanted to denigrate someone, you could call them a “bird brain” because people believed birds weren’t very smart. This assumption probably came from association with domesticated chickens. However, a 2016 study showed that bird brains are denser than those of many other animals. For example, a macaw has a 20-gram brain, and a squirrel monkey has a 30-gram brain, but they have the same number of neurons. 

A new study of bird brains by researchers in Germany shows that bird neurons are more energy efficient than those of mammals. For example, pigeon neurons use three times less energy than mammal neurons. Birds are designed to do many things requiring brain power, including flying and singing complex vocalizations. 

The lead researcher of this study suggests that the brains of birds are organized so that neurons can more easily exchange signals. Organization does not come out of random chance mutations. It requires an organizer. Watching birds around our feeders, we see them doing some incredible things. We know that they are guided by brains that have specific functions allowing them to find and use seeds and other food sources in the winter. 

The brains of all animals are designed to allow them to live in a particular environment. What is unique about humans is that we can alter the environment rather than being altered by it. Also, our brains allow activities such as art, music, complex mathematics, worship, and the ability to be taught to think. Our spiritual nature sets us apart and allows our creative activity and our understanding that there is life beyond the grave. 

— John N. Clayton © 2022

Reference: “Food for Thought” in Scientific American December 2022.

How Can You Believe in Angels?

How Can You Believe in Angels?

“How can you believe in angels when so many horrible things are happening in the world today?” That is a typical comment we receive from skeptics. Islam emphasizes the angel Gabriel, and Mormons credit the angel Moroni for their scriptures. A Catholic website claims that all people have guardian angels “to rule and guide.” Around the Christmas season, we are exposed to many stories, movies, and songs based on angel involvement in human affairs. So what is the truth about angels?

The Bible does not suggest that angels are good people who have left this life or that they are robotic agents of God. Angels are beings created by God and not limited to our dimensions of time and space. Being outside of time gives them both abilities and limitations. In Matthew 22:30, Jesus did not say that we will become angels when we die, but we will become like angels with respect to marriage. The Bible tells us that angels can sin and rebel against God. (See 2 Peter 2:4, Galatians 1:8, John 8:44, and Jude 6.) However, angels cannot repent of sin because repentance requires time. If an angel chooses to reject God, there is no turning back – it is a one-way street. Once we leave this physical existence, we will be out of time, and the same will be true of us. We will have no time to change your eternal destiny.

How can you believe in angels? The bottom line is that a war between good and evil is going on that involves both spiritual and physical dimensions. The purpose for our existence is to achieve victory in that war. The book of Job clearly shows that our physical struggle involves spiritual forces. The only recourse for skeptics and atheists is to deny that evil exists, but doing that eliminates the purpose for human existence.

Angels can choose to sin, and the Bible makes it clear that this has happened. (See Revelation 12:9 and 2 Corinthians 11:3-4.) While angels can do what God commands, they cannot remove a human’s ability to choose between good and evil. They also cannot prevent the consequences of bad human choices. (See Galatians 6:7). However, the Bible promises us a way to overcome temptation if we choose to use it. (See 1 Corinthians 10:13.)

Angels are real and have served God’s purpose in the war between good and evil throughout history. (See Genesis 18-19 and Judges 6:11-27.) So how can you believe in angels? They have done things we see as miracles as they serve a purpose in God’s plan. Skeptics can deny the reality of God and angels because they have freedom of choice, as all humans do. But wrong choices carry eternal consequences and remove any real purpose for human existence.

— John N. Clayton © 2022

Reading the Rocks in Wisconsin Dells

Reading the Rocks in Wisconsin Dells

We have just enjoyed a return visit to the Wisconsin Dells. I say a “return visit” because, in the army, I was stationed at Camp McCoy near Sparta, Wisconsin. The closest place to go for an escape from military rigor was the Dells. Later, when I was in a National Science Foundation teacher training seminar, we spent a day at the Dells learning about the area’s geological history. I have been to the Dells nearly a dozen times and watched it change from a primitive camping area to a tourist water wonderland. As a geologist, I enjoy reading the rocks in Wisconsin Dells.

The Dells area is geologically interesting because the glaciers did something unusual there. For reasons still debated by geologists, glaciers that covered all of Wisconsin went around the Dells area. That left a very different geology compared to the rest of the state. Where we live in Michigan, glaciers dominated the whole state. Our house sits on a glacial moraine where glaciers dumped sand and gravel as they moved south.

In our gravel pits, we find rocks that came from hundreds of miles north of us. When I took my earth science students on field trips to area gravel pits, they found pieces of copper from the upper peninsula and Jasper conglomerate from southern Ontario. There is no exposed bedrock in southern Michigan, only sand, gravel, and clay left by the glaciers. Hundreds of pothole lakes and ponds cover the area, making it home to a variety of wildlife not abundant in Wisconsin. Farming in our area involves fruits and berries that are rare in Wisconsin.

Reading the rocks in Wisconsin Dells tells us a whole different story with exposed sedimentary bedrock and very little sand and gravel. The area’s rivers are very different, with large pillars and buttes that were spared by the glacial ice, and very few ponds. The whole ecological area of the Dells differs from the surrounding part of the state, and the varied ecology provides different natural resources. For example, the grasses that grow in a place like the Dells provide grains not as easily grown in glaciated areas.

Reading the rocks in Wisconsin Dells tells us that God has provided radically different ecological systems for our benefit. If all areas of the planet were the same, that would limit the available resources. The wisdom of having multiple agents to prepare different soils, different amounts of water, and different mixing of minerals reminds us of the message of Proverbs 8:22-31. That passage personifies Wisdom as being there when God created all these things. Learning to read Earth’s geological history shows us the methods God used to prepare this planet for human habitation. How blessed we are to travel and see places like Wisconsin Dells and learn of God’s wisdom, love, power, and patience in all He does.

— John N. Clayton © 2022

Thanksgiving Encourages Us to Count Our Blessings

Thanksgiving Encourages Us to Count Our Blessings

Of all the secular holidays that Americans celebrate, Thanksgiving is the one that has the greatest Christian syzygy. Syzygy is an astronomical term referring to an alignment of astronomical bodies, and Thanksgiving aligns uniquely with the teachings of Christ. Thanksgiving has no mysticism as Halloween does and does not involve special objects like Easter bunnies or eggs. It does not have the commercialism of Christmas. Instead, the family time of Thanksgiving encourages us to count our blessings.

In my 41 years of public school teaching, I saw kids whose parents did not appreciate them. Those kids were a problem for the school and society in general. In addition, I have observed marriages ending in divorce. In most cases, the collapse of the marriage was rooted in the partners not telling each other they were appreciated.

In the Old Testament, God commanded the nation of Israel to observe feasts and festivals of Thanksgiving. In the New Testament, communion is a time for Christians to pause every Sunday and be thankful for Christ’s sacrifice and the forgiveness it offers. We read in 1 Thessalonians 5:16-18 that Christians should “Be joyful always, pray continually, give thanks in all circumstances.” Romans 1:21 identifies those alienated from God as people who “knew about God but neither glorified Him nor gave thanks to him, but their thinking became futile and their foolish hearts were darkened.”

We give thanks not because God has an ego problem that He needs us to fill. We thank God because humans need to be thankful for the blessings we have. Focusing on what we don’t have or comparing ourselves to others is a short road to depression and unfortunate behavior.

Christians should be thankful 24/7/365, and Thanksgiving encourages us to count our blessings. For our own mental and spiritual health, we need to be grateful. Be thankful for the creation, family, friends, life and health, freedom, food and water, the Church, and salvation. May this Thanksgiving Day remind us of all our blessings. Focusing on what we don’t have and anguishing over our losses will not bring the joy and security God intends for us to have.

— John N. Clayton © 2022

Observing Fibonacci Day

Observing Fibonacci Day

Humans look for ways to celebrate certain days. We laugh at Groundhog Day and use Valentine’s Day for special human relationships. Some days have extensive significance, such as Thanksgiving, Christmas, or Veteran’s Day. We are now observing Fibonacci Day on November 23. Fibonacci Day is an unusual celebration of a remarkable mathematical sequence.

Fibonacci was an Italian mathematician who noticed in the year 1202 some interesting oddities about a particular sequence of numbers: 1,2,3,5,8,13,21,34,55, 89,144, 233. Notice that when you add any two sequential numbers, you get the next number. For example 5 + 8 = 13; 8 + 13 = 21; etc. If you divide two sequential numbers, you get .618034, which some mathematicians have called the “golden mean.”

Applying this Fibonacci sequence to architecture, you get a practical application. A rectangle using any two sequential numbers is aesthetically pleasing to human eyes. If you cut a square off any of these rectangles, you get another rectangle with the Fibonacci sequence. If you connect the corners of the squares in a series of Fibonacci rectangles, you get a spiral (see sketch).

An amazing thing about this is that there are an unlimited number of examples of Fibonacci spirals in the natural world. A small sampling includes:
*The spiral arms of galaxies curl in a Fibonacci spiral.
*The curl of a wave in the ocean fits the Fibonacci spiral.
*The snail shells curl in a Fibonacci curve.
*Elephant tusks curve in a Fibonacci spiral.
*The roots of human teeth curve in a Fibonacci spiral.
*Spider webs fit the Fibonacci spiral
*Keys on the piano are 5 black and 8 white, 13 in all, fitting the ratio.

*Musical chords producing pleasing sounds have the Fibonacci ratio.
*Bacteria growth curves fit the Fibonacci ratio.

There is no natural or evolutionary reason for the Fibonacci sequence. Notice it isn’t just in one discipline but in widely separated areas of study.

The Fibonacci Association publishes a magazine called the Fibonacci Quarterly, and people have written several books about the Fibonacci ratio. If you are observing Fibonacci Day, realize that this demonstrates God’s design in the creation. Chance does not produce a pattern across multiple disciplines like this.

— John N. Clayton © 2022

For more on this, go to DoesGodExist.tv and watch program number 5.

Living in Fear in Today’s World

Living in Fear in Today’s World

According to the Boston Globe, 80% of college students are living in fear. The article says that activists and administrators have created an “Us vs. Them” mentality. This applies to race, pronoun usage, and political views creating “intense, persistent and excessive worry and fear about everyday situations.” For example, the article says that even “picnic” is now deemed racist and can get a student branded a bigot or transphobe.

In the history of America, one of the rights we all have is the right to express an opinion. An adage says, “I may disagree with what you say, but I will defend to my death your right to say it.” But, unfortunately, that is no longer applicable to life in America.

People could say that in the past because most Americans believed in the Christian concept of God and that all people are created in God’s image. The biblical concept of love was “agapao,” which governed how people thought of even those with whom they disagreed. That word means “to consider of great value,” and Christ introduced the concept in His “Sermon on the Mount” (Matthew chapters 5-7). Christ and the apostles taught that every human is infinitely and equally valuable (Galatians 3:28).

People today are living in fear because they have adopted “survival of the fittest” as their guide for dealing with one another. That means I can denigrate those I deem less fit and treat them as less valuable. All abuse of others is rooted in this belief system. Carried to extremes, it even applies to political differences. Recently a female member of congress suggested killing a political opponent to advance her concept of democracy. No wonder people are living in fear.

The Christian belief system eliminates living in fear. John writing his excellent dissertation on love in 1 John 4:7-21 says it beautifully: “There is no fear in love; but perfect love casts out fear; because fear has torment. He that fears is not made perfect in love. We love Him because He first loved us. If a man says I love God and hates his brother, he is a liar, for he who does not love his brother whom he has seen can not love God whom he has not seen” (verses 18-20).

Living in an atheistic world is challenging, and fear reflects that. Therefore, Christian faith and morality are more important than ever, not just on an eternal level but even in our day-to-day lives.

— John N. Clayton © 2022

Reference: Article in the Boston Globe newspaper and repeated in The Week (10/7/22 page 12)

Jesus Christ Challenges People to Think

Jesus Christ Challenges People to Think

People today often refuse to use evidence to make decisions on everything from personal relationships to politics. One of the unique things we find in the Bible is that Jesus Christ challenges people to think.

In the book of Matthew, Jesus uses the phrase “What do you think” five times (17:25, 18:12, 21:28, 22:17, 22:42). Jesus never called his listeners to blind acceptance or thoughtless adherence to authority. In biblical Christianity, faith is not an emotionally-based response. Despite that fact, modern Christian denominations have relied on blind acceptance and emotion instead of thoughtful reasoning.

A good part of this failure is just plain intellectual laziness. People emotionally follow the charismatic leadership of individuals because it is easier than thoughtfully examining the evidence. The result is that we have cults and abusive religious systems. Unlike other world religions, the Bible and Jesus challenge us to examine the evidence and act on it.

Jesus used miracles to convince people of His divine nature. The prophecies about Christ predicted that He would not attract followers by his physical appearance. Consider Isaiah 53:1-6 which is undeniably a messianic prophecy. That passage says, “He had no form or comeliness … there is no beauty that we should desire Him. He is despised and rejected of men; a man of sorrows, and acquainted with grief … we esteemed Him not.”

Jesus Christ challenges people to think, but as long as people refuse to use their minds and examine the evidence, skepticism and chaos will result. Throughout the Bible, we find encouragement to look at the evidence and know that God is real and that His Word should guide our lives. Read Psalms 19:1, Psalms 53, Psalms 139:14, Proverbs 8, Matthew 6:26-30, Acts 17:22-31, and Romans 1:18-20. Waiting for God to “zap” you with faith is an exercise in futility. Instead, God rewards those who seek to understand and never calls us to blind acceptance.

The “Does God Exist?” program never relies on the opinion or credentials of any human. Instead, we call on all people to come to faith by using their intelligence and what they can see in the world around them. Examine the evidence!

Our materials are free or at cost and provide a way to organize the evidence so that each person who is willing can “know there is a God through the things He has made” (Romans 1:20). That means looking at the physical world and the spiritual world and dealing with the evidence that is all around us. Still, in today’s world, Jesus Christ challenges people to think.

— John N. Clayton © 2022

COVID in Animals On the Rise

COVID in Animals On the Rise - Mink Farm
Mink Farm

The COVID pandemic has taught us a lot. People need to be aware that COVID has been found in 32 different kinds of animals. A few domestic cases have had a strong effect on humans both economically and medically. Realize that this data is just the recorded cases, and the actual case numbers of COVID in animals may be far higher.

The most significant instances of COVID in animals have been in the American mink. The problem is that mink farms have large numbers of animals confined in small spaces, allowing the virus to spread quickly. The November 2022 issue of Scientific American reported 787 cases in minks. As a result, some mink farmers have had to destroy their entire stock to stop the disease from spreading. White-tailed deer are the second-highest wild animal group, with 467 reported cases of COVID.

Dogs and cats had the next highest numbers–353 cats and 225 dogs with reported COVID infections. There is great concern about these domestic animals since they are in constant contact with humans. Rounding out the domesticated animals that can carry and spread the virus are cows, hamsters, and ferrets.

The remaining cases in both the wild and in zoos include lions, tigers, gorillas, otters, beavers, lynxes, and hippopotamuses. These cases show that the virus is very active among mammals and will continue to spread unless animal vaccines are produced and used. Our domestication and use of wild animals means that new strains of COVID in animals will continue to arise. Humans can get the virus from animals as well as other humans, and we can also pass it back to animals.

Studying the origins of the disease and compiling a database of infected species will make it easier for scientists to learn how to protect against COVID and other virus infections. We humans are often our own worst enemies, but God has given us the wisdom and the tools we need to be good stewards of life on Earth.

— John N. Clayton © 2022

Reference: “Covid Relay” in Scientific American magazine for November 2022, page 22 and ONLINE.