Friday, August 8, 2025

Geometry Inspired by God

  
design by Karl-Dieter Crisman
 

Guest blog by Karl-Dieter Crisman

 Karl-Dieter Crisman is a professor of mathematics and computer science at Gordon College in Massachusetts.  He is grateful for mentors who have inspired him to investigate connections between math and faith ever since a conference in Chicago, sponsored by InterVarsity Christian Fellowship, nearly thirty years ago.  Karl-Dieter will be the 2025-26 Brabenec Lecturer of the Association of Christians in the Mathematical Sciences. 

 

I want you to think about something that might seem unrelated to this blog.  Do you remember your high school geometry class?  Think about what you liked, or didn't like, about it.  Yes, this question will be relevant! (If you had calculus at some point, same questions.)  Take some time, the page won't reload before you think about it.

Now consider the following.  Was one of your reactions that studying geometry allowed you to "glorify the Lord's name and greatness”?  If you are like most of my students, the first thing you think of when it comes to mathematics is not God – that's true even if you enjoy math, and I hear that some people don't enjoy it that much.

This post is about a person whose first reaction was that geometry glorifies God, and why that should encourage us to explore creation for its own sake.  But first, some background!

It turns out that there are lots of devout Christians who have contributed to the development of mathematics as we know it and were inspired by seeking God's order in the universe.  Many readers of faith will have heard of the great philosophers Descartes and Pascal, who were both very good mathematicians.  The founders of calculus, Newton and Leibniz, were likewise very devout (though in Newton's case not so orthodox).  Leonhard Euler, easily the greatest mathematician of the 18th century, went so far as to publish a defense of the divine nature of Scripture right in the midst of Frederick the Great's Berlin, which was more interested in Voltaire's wittiness than revelation!  But I think none of them compares with an obscure figure from the early 1300s, when it comes to being motivated by God in pursuing geometry. 

At that time, the Castilian rabbi Abner, from the city of Burgos in what is now Spain, converted to Catholicism – without any coercion, as far as we can tell.  He became known as Alfonso of Valladolid.  Under that new name, he is mainly known for defending his conversion and disputing in philosophy and theology with other Jews of the time – leading him to be a controversial figure[1]. 

More importantly for this post, Abner/Alfonso was dedicated to geometry throughout his life.  It is in his one surviving mathematical text that he says that "from [his] youth to [his] old age the one thing [he] desired from the Lord" was to "glorify [God's] name and greatness."  How was he going to accomplish this?  By measuring the circle!

Today, it seems like there are amazing new scientific discoveries every day.  We even allow many people to dedicate most of their lives to exploring God's creation.  But for most of the famous names above, and certainly for Alfonso, math was just one of many tasks on the docket.  So discoveries were fewer and further between.  Alfonso's goal was to reorganize geometry – that is, geometry as it had been for well over a thousand years – by learning how to measure curved shapes.  In fact, he calls his mathematical text the Sefer Meyasher 'Aqov, or Straightening the Curved, in a clear allusion to the prophet Isaiah.  Consider the New Living Bible version of Isaiah 40:4:

Fill in the valleys, and level the mountains and hills.

Straighten the curves, and smooth out the rough places.

I should have a spoiler alert here.  Neither as the rabbi Abner, nor as the convert Alfonso, did he achieve this task.  He did, however, have novel approaches to the problem – ones that seem to foreshadow approaches later taken in calculus for finding the exact length of curves.  Keep in mind that even the circle wasn't really "measured" yet, because while the circle constant pi was known, mathematicians didn't know that much about it other than good approximations such as 3.14 or 22/7 – and wouldn't until nearly 1900. 

Moreover, Alfonso dug deeply into the question of how parallel lines work.  You might remember from that geometry class I asked you about that if you have a straight line and then some other point, you can only make one parallel line to the original through that point.  But how do we know?  Alfonso quoted verses such as Job 38:11 to reinforce his own (imperfect) conclusions about this, which used his ideas about infinity: “This far you may come and no farther: here is where your proud waves halt” (NIV). Alfonso says about these arguments, "From here one can (if one wishes) come near to the understanding of the existence of God."

To be sure, Abner/Alfonso wasn't trying to prove God's existence with his mathematics. Nor was he doing biblical exegesis at length to prove his mathematics.  Indeed, like all of us, he had his own blinders.  He was so convinced of his parallel lines that he, like all other geometers of the time, did not realize that if you lived on a curved surface, you can have more than one parallel line through a point – or none!  The former case is crucial to how a GPS navigation system works using Einstein's general relativity – a theory which he based on the geometric discoveries of Bernhard Riemann, another devout mathematician.

But God doesn't ask for us to be able to comprehend his creation fully; to reference Job again, he is pretty clear that we can't, and we won't. Instead, God asks for us to understand that which we can in humility, and that we should meditate on "whatsoever things are true [or]… of good report" (Phil. 4:8 KJV).  Alfonso makes it clear that geometry is one of those things, and with quotes from Deuteronomy to Ecclesiastes justifies learning for its own sake, since God created “everything for his honor and majesty” (see Psalm 96:6).

Alfonso believed that even on this topic one should “seek to find the right words to acquire a clear knowledge, emanated from the Holy Spirit.” Let's keep that in mind in an increasingly utilitarian culture – that God respects all our attempts, incomplete as they inevitably are, to comprehend the majesty of creation.

 

Note: All quotes from Abner/Alfonso are from the excellent translation and commentary "Alfonso’s Rectifying the curved—a fourteenth-century Hebrew geometrical-philosophical treatise" by Ruth Glasner and Avinoam Baraness.  Some of these ideas were presented in a more scholarly context in a paper for the Association of Christians in the Mathematical Sciences[2].

 
 

 

Wednesday, July 9, 2025

How Do Pagan and Biblical Temples Differ?

 Holy of holies in the Temple in Edfu, Egypt, photo by Aída Besançon Spencer April 2025

When we think of Egypt, we often visualize pyramids, the Nile River, the Sphinx, and the Hebrew exodus. When Bill and I had the pleasure to visit Egypt and take a Nile River cruise this past March and April, what do you think was the main saying the passengers repeated for each day? “What’s today’s temple?”  We saw different ancient temples daily and the Egyptologist (our tour guide) kept implying correlations to the Old Testament tabernacle and to Christianity.

The Egyptian temples that we visited had been built from 4000-5000 BC to as late as AD 50. In one of the latest ones, in Edfu, Egypt, built between 237 to 57 BC, our guide repeatedly told us about the priest’s procedure to become pure before entering into the god or goddesses’ presence, for example, in this case, Horus, the avenging falcon god. The priest had to pluck off all his hair and immerse himself in water. Like many other temples, this temple had in the deepest room a holy of holies. In these Egyptian temples, only priests were allowed inside the entire temple.

You may remember that the Israelite tabernacle (or tent of meeting), and the later temples, also had a holy of holies. The Hebrew tabernacle (constructed ca. 1450 BC during the Exodus from Egypt)[1] had a court, a holy place, and, behind a curtain, a holy of holies. Only the high priest could enter the holy of holies once a year to seek the forgiveness of sins for himself, his family, and all of Israel. He had to make animal sacrifices, bathe in water, and wear a sacred tunic. Inside the holy of holies was the ark of the covenant with two carved cherubims, and later the Ten Commandments and other symbols of God’s historic presence in their lives (Exod. 37:1-9; Lev. 16; Heb. 9:1-5). However, all the people were allowed in the court and could see the offerings in the holy place and participate in prayer.

Of course, the pagan temples revered many mythic gods and goddesses, while the Israelites worshiped only one living God, not represented by any statue or form. Moses is very firm in Deuteronomy 4 when he warns the Hebrews: “Since you saw no form when the Lord spoke to you at Horeb out of the fire, watch yourselves closely, so that you do not act corruptly by making an idol for yourselves in the form of any figure: the likeness of male or female, the likeness of any animal that is on the earth, the likeness of any winged bird that flies in the air, the likeness of anything that creeps on the ground, the likeness of any fish that is in the water under the earth. And when you look up to the heavens and see the sun, the moon, and the stars, all the host of heaven, do not be led astray and bow down to them and serve them, things that the Lord your God has allotted to all the peoples everywhere under heaven” (4:15-19 NRSV). Many ancients were conscious of the powers all around them and personified them into a variety of creatures and personages, while missing the Great Power behind them all, the living God who loved them dearly.

What we learned in our travel to these temples is that God has placed in people across many ages and nations the desire to be accepted, purified, and assisted by the Creator of the world. Both the pagan and Jewish believers through their liturgy had been presupposing the great holiness of the Deity. Even the pagans had recognized that some separation existed between God and humanity.

However, a key change occurred in the first century, recorded in the Gospel of Matthew. When Jesus finally breathed his last, “behold the curtain of the sanctuary [in Jerusalem] was torn in two, from top to bottom, and the earth shook, and the rocks were split” (Matt. 27:50-51). Jesus had fully purified and justified humans before God, now, God’s Spirit could no longer be contained behind a curtain or division. This phenomenal gift can only be embraced if Jesus is trusted to enable each believer to become acceptable to the great pure sovereign Lord of the universe.

Jesus has freed humanity! After Christianity came to Egypt, no more temples came to be built because the Christians taught that the holy of holies had transferred from a place for select high priests now to a presence among everyday believers. All of us are one body, which is the holy place of the Holy Spirit among us (1 Cor. 6:19). All repentant believers become justified but must then maintain out of gratitude their holiness in thought and action. We are not justified by our actions but by God’s grace to seek to become mature priestly followers of the crucified and risen Messiah (1 Pet. 2:5-6).

Yet, how many of us still envision the “holy of holies” to be the pulpit and the person preaching to us is the “high priest” and the sanctuary seats the “holy place”? We forget that where two or three of us gather together (Matt. 18:20) we now have God’s holy and moveable temple or tent because the triune God is with us.

Aída



[1] 1450 BC is the traditional date for the Exodus according to Samuel J. Schultz, The Old Testament Speaks, 4th ed. (San Francisco: HarperSanFrancisco, 1990), 49. A fragmentary hieroglyphic inscription contains possibly the first mention of “Israel.” “Does the Merneptah Stele Contain the First Mention of Israel?” Biblical History Daily, May 20, 2025. https://www.biblicalarchaeology.org/daily/ancient-cultures/ancient-israel/does-the-merneptah-stele-contain-the-first-mention-of-israel. The Merneptah Stele was inscribed by King Merneptah 1213-1203 BC.

Monday, June 9, 2025

How My Journey to Jesus Teaches Me about Praying for the Middle East

Parthians, Medes, and Elamites, ancestors of Iran, were present at Pentecost (Acts 2:9)  

https://bible.art/p/iWNKTLmLQwVAWpetezXd/acts-2-2

Guest blog by Saideh H. Bonab with Jeanne C. DeFazio

How can Christians pray for everyone to bring peace to the Middle East? Jesus’s solution was for his followers to help everyone to reconcile with God:

“Therefore go and make disciples of all nations, baptizing them in the name of the Father and of the Son and of the Holy Spirit, and teaching them to obey everything I have commanded you. And surely I am with you always, to the very end of the age” (Matt. 28:19-20).[1]

Saideh H. Bonab, an Iranian Christian student at Gordon-Conwell Theological Seminary, models how to pray for everyone to receive Jesus. Once I converted to Christianity, I saw the beauty and the power to change lives of my glorious Lord Jesus who instilled peace, love, joy in me, and the desire to love and serve others. I knew that I had made the best decision in my life by believing and trusting in him. One core tenet of orthodox Christianity is that the Lord Jesus died on the cross and rose from the dead to atone for the sins of all humans, as Peter, one man whose life Jesus Christ changed, reports:For Christ also suffered once for sins, the righteous for the unrighteous, to bring you to God. He was put to death in the body but made alive in the Spirit (1 Pet 3:18).

This is what Saideh herself experienced: Jesus died for everyone: Christians, Muslims, Jewish, Hindu, and Buddhists. Jesus is a living God who has thoughts and emotions and speaks to us and guides us because his Spirit is alive in us.  To reach out to a Muslim, I develop a trusting relationship between us.  I have compassion for unbelievers looking at them through the lens of love, respect, and humility through the heart of the Lord Jesus which he opened to me. I don't mock and criticize anyone. I share about my own conversion and change of heart, especially the testimonies of the numerous prayers Jesus has answered as he guides me through my daily life. 

 I have learned that Jesus is the Prince of Peace and does not believe in an “eye for an eye” and “a tooth for a tooth.” In Luke 6:29, Jesus taught: “If someone slaps you on one cheek, turn to them the other also. If someone takes your coat, do not withhold your shirt from them” (Luke 6:29). The idea of forgiveness, rather than revenge, is a core message of Christianity. I build a relationship with my Muslim friends with love and respect.  Christians must not forget that once we all were in the darkness and the Lord found us and called us to be his hands and feet. So let us be the Light of Jesus in this dark broken world and bring his light and glory to everyone.

I have found Dr. John Azumah’s book, My Neighbour’s Faith helpful when he states:

Despite the effects of [Muslim] theologians and polemicists over the centuries, and the negative and even hostile news about Jesus that they have produced, many Muslims around the world continue to be fascinated by Jesus. In a survey of over six hundred converts to Christianity from various parts of the world, one in four speaks of the role the figure of Jesus played in their religious development. Many speak of him appearing to them in dreams and visions, sometimes in direct encounters. Their ideas may not be quite clear, but what is clear is that Jesus is encountered as a very real person: a master, a friend, someone who listens and helps.[2]

As soon as I read this, I got up dancing and crying, realizing that my husband was not the only Muslim who had a personal encounter with the Lord Jesus Christ and received him as his Lord and Savior. Over six hundred others are documented to have had direct encounters and visions with Jesus.[3]

All glory to Jesus! As Christians, we need to testify to the living Christ rather than engaging in fruitless debate of who he is and who he is not. The Lord of lords and King of kings performed so many miracles.  These miracles are beyond comprehension. The Lord of glory and majesty cares for the marginalized, widows, the poor, orphans, for everyone from every diaspora, and he is the healer of the sick.  I tell everyone who asks me to pray to believe that Jesus is the healer of our sick bodies and souls. Isaiah 53:4 explains: “Surely he took up our pain and bore our suffering” (which Matthew relates to Jesus’s healing of the demon-possessed and the sick in 8:16-17).

There is no one like Jesus in this entire universe. So, how does prayer impact national and world events? Lisa Schrad explains:

Prayer transforms us, and our individual transformation does bring change in the world. St. Francis put it even better: “Sanctify yourself and you will sanctify society.” It feels so much more glamorous and enticing to go sanctify society first, right? I’d much rather work on problems “out there” than have to face my own sin. But how can we even know what true justice and mercy are—much less how we are called to live them out in the world—unless we are first people whose hearts have been changed by God to love those things?[4]

In short, praying for others to change begins with praying for ourselves to change to become the people Jesus wants us to be. Praying for other societies to change follows our prayers and our work in changing our own society to be who Jesus wants it to be. The Great Commission to go into all the world and make disciples by teaching all that Jesus commands starts out home, then reaches out across the world. Our prayers are based on the change Jesus made in us, his filling us with peace, love, and joy.

When I discovered the real Jesus, I mentioned to my Muslim husband that we were not serving the living God and our God is a bogus God. Then he had an encounter with Jesus and fell in love with the Lord. He was so excited to tell me about his encounter that I thought he would live. He was in the hospital dying of cancer. When he died, shortly after, he died in peace going into Jesus’s everlasting arms.

Today my two favorite scriptures are Mark 8:36 what good is it to gain the whole world and to lose our soul. The other one is Matthew 25:35-36 I was hungry and you fed me, and I was sick and you looked after me, and I was in prison and you visited me. My husband and I have done these, and we practiced hospitality in our humble home. These days our family is emotional because my little girl is graduating and is becoming a scientist just like her father and cries a lot, missing her father. I told her that her dad is present in spirit. She is getting a dual degree and she also won an award with money as she is very excited. The good and gracious Lord has been on our side and a beautiful Provider and has given us joy and his peace.

Jesus has been changing our lives. As I learn more and more about the impact of Jesus’s death for my failings, I want everyone to benefit from his sacrifice. I want everyone of every faith to discover Jesus is a living God whose compassion and love is gracious and kind and brings light to our darkness just as he brought light to my life and the lives of those I love by his great love and care.



[1] All Bible quotations are from the NIV 2022.

[2] John Azumah, My Neighbour's Faith: Islam Explained for Muslims (Nairobi: Word Alive, 2020), 128.

[3] Ibid.

[4] Lisa Schrad, October 13, 2017, “What Difference Does Prayer Make in the World?” https://intervarsity.org/blog/what-difference-does-prayer-make-world, para 6.


 


 

Monday, May 12, 2025

A Surprising Mother


 “Scribbly and the Red Tornado” by Sheldon Mayer, July 1941, All-American comics, issue 28, 1.

 

On Mother’ Day we celebrate the mothers or mother figures who are the heroines in our lives. In recent years a lot of attention has been paid to Wonder Woman who first appeared October 1941 as a seminal superheroine, but she is not the first in the history of comic books. She is preceded by other female crime fighters in costumes who activate their natural powers,[1] such as superheroines Miss Victory and The Black Cat who both first appeared August 1941 and the Red Tornado who first appeared November 1940 (“the first DC costumed heroine before Wonder Woman”).[2]

The Red Tornado is a mother and a working homemaker, a big healthy strong woman, and her sidekicks are two children, one her daughter, the other a neighbor boy, the “two youngest crime fighters in the world,”[3] the Cyclone Kids. As author Sheldon Mayer describes her: “In a short space of time, the Red Tornado’s name has become a household word! There is no criminal from international bank-robber to petty thief, who does not fear the vengeance of this masked marauder!!! The entire nation is burning with a vast curiosity to know what man’s face lies beneath that metal mask. And no one knows that that face belongs to a woman!...None other than good old Ma Hunkle!!!”[4] How many superheroines fight crime together with their children? The Red Tornado ironically hides her humble identity under a metal cooking pot.

These costumed heroines remind us of our own mothers on Mother’s Day. We remember Bill’s mother, Helen, who for many years won the top prize as outstanding salesperson for Macy’s in Springfield, New Jersey, and who encouraged Bill in many of his life’s ventures. When Bill’s dad was hurt in an industrial accident, his mother singlehandedly supported the family financially during three years of his father’s recovery.

We also remember Aída’s mother, Aída, short for Adelaida, who was the only sibling out of seven (two were men), who worked with her father in his metal and bag business. She was quite a business entrepreneur and helped pay for Aida’s college education through various endeavors, including raising and selling French poodles. (Aida’s job was to sheer the poodles and ensure the puppies were safely born.)

God who created mothers (and fathers) used the imagery of mothers to describe aspects of God’s character even though God is a Spirit and has no gender.[5] For example, God as a mother carries the nation of Israel “from the womb,” lifts it, and supports it from youth “until old age,” “I myself am the One…I myself will bear, I myself have made and I myself will lift up, and I myself will bear and I will deliver” (Isa. 46:3-4).[6] God is like a Super-Mother! God never forgets us (Isa. 49:15). God is also like a lioness and a mother bear. A lioness will roar and protect its young as the Lord protects Israel (Isa 31:4).

So, too, all of us can rely on God to care for us and protect us and enable us to care for and protect others, as God did through the great women of the Bible, like Deborah, who led the Israelite army to fight the enemy, Jael who defeated the enemy’s leader, the wise woman who saved a city, the midwives who rescued the Hebrew children from extinction, Hulda, whom a king and his council consulted for her God-given wisdom superior to theirs, Phoebe who was Paul’s mentor, Prisca, who worked side by side with Paul as an expert teacher, Mary, who was the chosen vessel to bring our Savior into the world and serve as a humble and loving model, and many other women.[7]

God bless you to flourish and follow the lead of these women as you minister to those whom God has entrusted to your care.

Aída and Bill


[1] The definition of “superhero or superheroine” differs somewhat. Merriam-Webster’s Dictionary defines a superhero or superheroine as “a fictional hero having extraordinary or superhuman powers; also an exceptionally skillful or successful person” (https://www.merriam-webster.com/dictionary/superhero). Dictionary.com clarifies that a superhero must be “a morally righteous hero in a fictional work who possesses extraordinary abilities or supernatural powers and uses them to fight evil” (https://www.dictionary.com/browse/superhero). The Red Tornado is not “superhuman.” She has developed her natural potentialities into “extraordinary” powers. Wikipedia adds: “A superhero or superheroine is a fictional character who typically possesses superpowers or abilities beyond those of ordinary people, is frequently costumed concealing their identity, and fits the role of the hero, typically using their powers to help the world become a better place, or dedicating themselves to protecting the public and fighting crime (https://en.wikipedia.org/wiki/Superhero). While Britannica appears to limit “superhero” to those “whose extraordinary or ‘superhuman’ powers are often displayed in the fight against crime and assorted villains, who in turn often display superhuman abilities as well. In many respects, superheroes are like the gods of classical mythology and other mythological traditions,” yet their examples of “superheroines” include costumed women who fight crime with extraordinary human abilities, such as the Woman in Red, Lady Luck, and the Black Cat. (Peter Sanderson and Gina Misiroglu, https://www.britannica.com/art/superhero).

[2] Robert M. Overstreet, The Overstreet Comic Book Price Guide, 26th ed. (New York: Avon, 1996), 24. Other than DC comics, earlier The Woman in Red (March 1940) in Thrilling Comics is costumed as she fights crime, but the Red Tornado is the first mother superheroine. Nishid Motwani, “10 Female Superheroes Who Were Created Before Wonder Woman,” Jan. 13, 2021, https://www.cbr.com/female-superheroes-created-before-wonder-woman/.

[3] The Red Tornado calls the children this title in “Scribbly and the Red Tornado, July 1941, All-American DC comics, issue 28, page 4.

[4] Scribbly and the Red Tornado,” issue 28, 1.

[5] See a description of the images and analogies used for the Trinity in William David Spencer, Three in One: Analogies for the Trinity (Grand Rapids: Kregel, 2022).

[6] See further Aída Besançon Spencer, “The Full Vision: Feminine Images for God for Ministry,” ch. 5, in Beyond the Curse: Women Called to Ministry (Grand Rapids: Baker, 1985). The Hebrew is translated by Aída.

[7] See further ch. 4, “First Apostles, Second Prophets, Third Teachers: Examples of Women in Authority in the New Testament,” Beyond the Curse.

Ma Hunkle