Pi, denoted as π, is the mathematical constant representing the ratio of a circle’s circumference to its diameter. This transcendental number is approximately equal to 3.14159 and is crucial in various fields of science, mathematics, and engineering.
The quest to understand π has spanned several millennia. Ancient Babylonians and Egyptians used approximations of π for practical computations, with the Babylonians using a value of 3.125 and the Egyptians 3.1605. The first rigorous calculation of π was by Archimedes of Syracuse, who used the Pythagorean Theorem to approximate the area of a circle with polygons, deducing that π was between 3 1/7 and 3 10/71.
In the 5th Century, Chinese mathematician Zu Chongzhi calculated π to be 355/113, a remarkably accurate figure for the time. He achieved this by starting with a 24,576-sided polygon and performing extensive square root calculations.
The symbol π itself was introduced by Welsh mathematician William Jones in 1706 and later popularised by Swiss mathematician Leonhard Euler in 1737. The 18th Century saw further developments, such as Georges Buffon’s probability method to calculate π.
Modern computational power has allowed mathematicians to calculate π to trillions of digits. These efforts are not just for record-breaking but also test the limits of algorithms and computer hardware.
Pi Day, celebrated on March 14th (3/14), honours this enigmatic number. It’s a day for mathematical fun and education, reflecting on the significance of π and its place in the history of mathematics.
On the first three Sundays of Lent, we’ve been considering some noteworthy events in the life of Jesus. This Sunday we turn to John 3:14-21 which contains some of the most well-known verses in Christian theology, particularly regarding the concept of salvation and God’s love for humankind
In this passage, Jesus makes a reference to an incident from the Old Testament, specifically to when Moses lifted up the serpent in the wilderness. This event is recorded in Numbers 21:4-9, where the Israelites, plagued by venomous snakes, were instructed to look upon a bronze serpent raised on a pole by Moses, and those who looked upon it were saved from death. Jesus uses this historical event as an analogy for his own impending crucifixion. Just as the bronze serpent was lifted to save those who looked upon it, Jesus would be lifted on the cross to bring salvation to all who believe in him.
Verse 16 contains one the most famous and profound statement in the entire Bible: For God so loved the world that he gave his one and only Son, that whoever believes in him shall not perish but have eternal life. This verse encapsulates the essence of Christian faith, God’s immense love for humankind and his sacrificial gift of Jesus Christ to provide salvation and eternal life to those who believe in him.
The subsequent verses emphasise the purpose of Jesus’ coming into the world; not to condemn it, but to save it. However, it also highlights the human response to Jesus’ message; those who believe in him are not condemned, but those who do not believe stand condemned already because they have not believed in the name of God’s one and only Son.
The passage contrasts light and darkness, righteousness, and sin. Jesus is depicted as the light that has come into the world, but some people prefer darkness because their deeds are evil. This reflects the ongoing spiritual battle between good and evil, belief and unbelief, which is a recurring theme throughout the Gospel of John.
Furthermore, the passage stresses the importance of faith and belief in Jesus Christ as the Son of God. Belief in Jesus is not merely acknowledging his existence or his teachings but involves a deep, personal trust and surrender to him as Lord and Saviour. Those who believe in him are granted eternal life, while those who reject him face judgment.
Overall, John 3:14-21 presents a powerful message about God’s love, the purpose of Jesus’ incarnation, the necessity of faith, and the consequences of unbelief. It’s a foundational passage for Christian theology, encapsulating the core principles of salvation and redemption through Jesus Christ. The passage continues to inspire and challenge us to live lives of faith and obedience to the teachings of Jesus.
You’d never keep paying for something you’d already paid for, or would you? Actually, lots of people do continue to pay for their smartphones even after they’ve been paid off in full.
For example, you take out a contract for two years and at the end of this period you’ve paid off the cost of the handset. But, unless you change the contract, your provider will continue to charge you for the phone.
For me, it was a simple process (involving just a few clicks) to switch to a SIM only contract and save myself money. Ask yourself, do I really need the latest handset?
In John 2:13-22, often referred to as the Cleansing of the Temple, Jesus enters the Temple in Jerusalem during the Passover feast and finds it filled with merchants selling animals for sacrifices and money changers exchanging currency. Seeing this commercial activity within the sacred space, Jesus becomes outraged, overturning the tables and driving out the sellers, declaring, “Take these things away; do not make my Father’s house a house of trade” (John 2:16).
This event serves as a powerful demonstration of Jesus’ authority and zeal for the sanctity of worship. By cleansing the temple, Jesus symbolically purges the corruption that had infiltrated the religious establishment. He challenges the exploitation of religious practices for profit and reaffirms the importance of reverence and purity in approaching God.
The reaction of the religious leaders is mixed. Some question Jesus, asking for a sign to justify his actions, while others, recognising the prophetic significance of his actions, demand an explanation for his authority. Jesus responds cryptically, saying, “Destroy this temple, and in three days I will raise it up” (John 2:19). Unaware that he speaks of his own Resurrection, they misunderstand his words, thinking he was referring to the physical temple.
This passage foreshadows Jesus’ ultimate mission and the significance of his Death and Resurrection. The Temple, a central symbol of Jewish worship and identity, becomes a metaphor for Jesus himself. Through his Death and Resurrection, Jesus inaugurates a New Covenant and becomes the ultimate place of encounter with God.
This incident demonstrates Jesus’ passionate response to the desecration of the Temple, highlighting his authority and commitment to true worship. It also lays the groundwork for understanding the deeper spiritual significance of his sacrificial Death and Resurrection.
As you reflect on this passage, what would Jesus be angry about today? What gets in the way of people approaching God in reverence and purity today?
Ever wondered why February gets an extra day every four years? Well, it’s all about keeping our clocks and calendars in sync with the Earth’s orbit around the sun. You see, our orbit takes approximately 365.2422 days, but the Gregorian calendar, which we use, only has 365 days. So, to make up for this discrepancy, we add leap years.
The idea of adding an extra day to February goes back to Julius Caesar’s time. Augustus Caesar later added two days to August, which caused February to lose out on its length.
Leap years happen every year that’s divisible by four, except for years divisible by one hundred but not by four hundred. This fine-tuning ensures our calendar stays accurate. The Gregorian calendar, introduced in 1582, made further adjustments by skipping three days every four hundred years. Additionally, leap seconds are occasionally added to align Earth’s rotation with atomic time and prevent drift.
Interestingly, leap years are also linked to the tradition of women proposing to men. This tradition stems from a 5th Century Irish legend involving St. Bridget and St. Patrick, and it gained popularity in Scotland in the 19th Century.
If you’re born on February 29, you’re called a leapling! In non-leap years, leaplings celebrate their birthdays on February 28 or March 1.
Popular culture has embraced leap years too. Works like Gilbert & Sullivan’s “Pirates of Penzance” and the film “Leap Year” explore leap year themes. While there’s no specific leap year cuisine, dishes like frogs’ legs and recipes involving the number four are often associated with leap year traditions.
Anthony, Texas, proudly calls itself the Leap Year Capital of the World and hosts a four-day festival every leap year. Superstitions about leap years are reflected in proverbs from various cultures, and some believe leap years bring bad luck for marriages.
Fun fact: Rare Disease Day is observed on February 29.
In conclusion, leap years play a crucial role in keeping our calendars accurate, and they’re woven into various cultural traditions and beliefs. So, every four years, let’s celebrate that extra day in February!
On this Second Sunday of Lent, we consider the moment when Jesus initiated a profound shift in his ministry by speaking openly to the disciples about his impending suffering, death, and resurrection. This moment set the stage for the climax of his earthly mission and underscored the sacrificial nature of his purpose on earth. See Mark 8:31-38 (click on link).
By foretelling his fate, Jesus demonstrated his awareness of God’s plan for redemption and the necessity of his sacrificial death to fulfil that plan.
When Peter reacts with disbelief and attempts to dissuade Jesus from such a fate, Jesus rebukes him sternly, recognising that Peter’s perspective aligns more with human concerns than divine purposes. This might seem harsh, and we can only begin to think how Peter must have felt, but embracing God’s will often contradicts human expectations or desires.
Jesus then extends an invitation to discipleship that emphasises the radical nature of following him. He teaches that true discipleship involves self-denial, taking up one’s cross, and following him faithfully. This call to discipleship requires a willingness to prioritise loyalty to Jesus more than anything else, even if it means enduring suffering, persecution, or martyrdom.
Gaining worldly success or acclaim is ultimately meaningless if it comes at the expense of one’s soul.
As we continue our journey through Lent, Mark 8:31-38 challenges us to count the cost of discipleship and to wholeheartedly commit ourselves to following Jesus, even in the face of adversity. This calls for a radical reorientation of our priorities towards a life of self-sacrifice and devotion to God’s Kingdom.
Let’s use this opportunity to reflect on the central tenets of discipleship: embracing suffering, prioritising God’s will, and forsaking worldly comforts for the sake of eternal salvation.
Mark 1:9-15 is one of the Bible readings associated with the start of Lent in the Christian calendar, it recounts the baptism and temptation of Jesus, key events marking the beginning of his public ministry. Here, we witness the divine affirmation of Jesus’ identity, his submission to God’s will, and his victory over temptation.
The passage begins with Jesus coming from Nazareth to the Jordan River to be baptized by John the Baptist. John’s baptism was a symbol of repentance, but Jesus, being sinless, didn’t need to repent. Nevertheless, he chose to undergo this baptism to fulfil all righteousness and to identify with humanity in our need for redemption. As Jesus emerged from the water, the heavens opened, and the Spirit descended upon him like a dove. This moment signifies the inauguration of Jesus’ ministry and the divine affirmation of his identity as the beloved Son of God.
Immediately following his baptism, the Spirit led Jesus into the wilderness to be tempted by Satan. This period of temptation lasted forty days, mirroring the forty years the Israelites spent in the wilderness. Jesus faced three temptations from Satan: to turn stones into bread to satisfy his hunger, to test God’s protection by throwing himself off the pinnacle of the temple, and to worship Satan in exchange for dominion over all the kingdoms of the world. In each temptation, Jesus responded with scripture, demonstrating his obedience to God’s will and his authority over temptation.
These temptations represent fundamental challenges to Jesus’ identity and mission. The temptation to turn stones into bread reflects the temptation to prioritize physical needs over spiritual ones, but Jesus affirmed the importance of spiritual sustenance by quoting scripture: “Man shall not live by bread alone, but by every word that comes from the mouth of God.”
The temptation to throw himself off the pinnacle of the temple challenges Jesus to test God’s faithfulness, but Jesus countered by affirming that one should not put God to the test.
Finally, the temptation to worship Satan in exchange for worldly power challenges Jesus’ allegiance and mission, but Jesus reaffirmed his commitment to worship and serve God alone, quoting scripture: “You shall worship the Lord your God and him only shall you serve.”
After successfully overcoming these temptations, Jesus began his ministry in Galilee, proclaiming the good news of God’s Kingdom. He declared, “The time is fulfilled, and the Kingdom of God is at hand; repent and believe in the gospel.” This message marked the urgency of repentance and faith in light of the Kingdom’s arrival through Jesus’ ministry.
Through Jesus’ example, we are encouraged to resist temptation, remain obedient to God, and actively participate in the proclamation of the Kingdom of God.
Light is fascinating and mysterious. It travels at incredible speed, yet still takes about eight minutes to reach us from the Sun. It can be understood as a particle, yet also behaves as a wave. But enough of the science lesson. Light profoundly affects our mood and has been a powerful metaphor throughout the ages in all human cultures.
In the poetic opening of the Bible, God said, “Let light shine out of darkness.” In the New Testament, light represents the new creation or new birth as the darkness of sin is dispelled by the light of Jesus, as he brings the light of the knowledge of God’s glory into the human heart.
This brings us neatly to one of this Sunday’s Bible readings in the Church of England’s Lectionary. In 2 Corinthians 4:3–6, the Apostle Paul offers profound insights into the nature of the Christian life, particularly concerning the transformative power of the Gospel message and the spiritual dynamics at play in the hearts of believers and unbelievers alike.
Paul begins by acknowledging the veiled nature of the Gospel message to those who are perishing. He describes how the minds of unbelievers are blinded by the god of this world, referring to Satan or the forces of evil that work to obscure the truth of the Gospel. This spiritual blindness prevents them from recognising the glory of Christ, which shines forth in the Gospel message. Despite the clarity and universality of the Gospel’s offer of salvation, those who remain in unbelief are unable to grasp its significance due to the spiritual blindness that envelops them.
Paul then elaborates on the spiritual battle between light and darkness that is inherent in the proclamation of the Gospel. He asserts that the god of this world has blinded the minds of those who do not believe, thereby obstructing their ability to perceive the light of the Gospel. This blindness is not merely a physical incapacity but a spiritual impediment that stems from the pervasive influence of sin and spiritual forces opposed to God’s truth. As a result, unbelievers remain ensnared in darkness, unable to comprehend the beauty and significance of the Gospel message that offers freedom and reconciliation with God.
In contrast to the spiritual blindness of unbelievers, Paul highlights the proclamation of Jesus Christ as Lord and the work of spreading the Gospel. He affirms that it is not about preaching oneself but about proclaiming Jesus Christ as Lord and oneself as a servant for Jesus’ sake. This underscores the humility and selflessness required in sharing the Gospel, focusing not on personal glory but on magnifying the name of Christ. Believers are called to participate in the ongoing mission of making Christ known to the world, recognising that their role is one of service and stewardship in advancing the Kingdom of God.
Paul further emphasises the transformative power of God’s light in the darkness of human hearts. He draws upon the imagery of the creation narrative from Genesis, where God spoke light into existence out of darkness. Similarly, God shines his light into the hearts of believers, illuminating the knowledge of his glory displayed in the face of Jesus Christ. This divine illumination awakens spiritual understanding and leads to the recognition of Christ as the embodiment of God’s glory and grace. Through the Gospel message, God initiates a process of renewal and transformation in the lives of believers, dispelling the darkness of sin and ignorance and replacing it with the radiant light of his truth and love.
On this last Sunday before Lent, 2 Corinthians 4:3–6 offers a compelling portrayal of the Christian life as one marked by the transformative power of the Gospel, the spiritual battle against darkness, and the call to humble service and proclamation of Jesus Christ as Lord. It reminds us of the urgency and importance of our role in sharing the Good News with others, trusting in the illuminating work of God’s Spirit to bring about transformation and renewal in the hearts and minds of those who are lost in darkness.
May the light of Jesus in our hearts shine through our lives into (what often seems like) an increasingly dark world.
Before writing my Sunday devotionals I always look up the Lectionary Bible readings for that day, even if I don’t use them. They are the set passages for use in the Church of England, and they usually have a common theme.
For the Second Sunday before Lent the readings are Proverbs 8:1-4 & 22–31, Psalm 104:26-37, Colossians 1:15–20, and John 1.1–14. You may like to read these passages in your Bible or by clicking the links to read them on Bible Gateway in the New International Version (UK). For this devotional I’m focussing on the last two readings.
Colossians 1:15-20 begins by stating that Jesus is the image of the invisible God and the firstborn over all creation. This means that Jesus is the exact representation of God and has authority over all things. Jesus created all things, both in heaven and on earth, visible and invisible, whether thrones, powers, rulers, or authorities. This means that Jesus is not only the creator of all things, but also has authority over all things.
Jesus is then described as the head of the church, which is his body, meaning that Jesus has authority over the church and is the source of its life. Through Jesus, God has reconciled all things to himself, whether things on earth or things in heaven, by making peace through Jesus’ blood shed on the cross. Jesus’ death on the cross was how God made peace with humanity and reconciled all things to himself.
John 1:1-14 (deliberately echoing the beginning of Bible) describes Jesus as the Word, who was with God, and was God from the very beginning. This Word became flesh and dwelt among us, and we have seen his glory, the glory as of the only Son from the Father, full of grace and truth. Jesus, who was previously divine and eternal, became a human being and lived among us, revealing the glory of God to humankind.
Let’s reflect on Jesus: The Word of God, the creator of all things, the source of life and light for humankind, and the one who became flesh and dwelt among us to reveal the glory of God. Or, as The Message paraphrase puts it, the Word became flesh and blood, and moved into the neighbourhood.
Luke 2:22-40 narrates an event in the life of Jesus as a young child, taking place shortly after his birth. This passage offers insights into the religious customs of the time and introduces characters such as Simeon and Anna, who play significant roles in recognising and acknowledging the infant Jesus.
The passage begins with Mary and Joseph bringing the baby Jesus to the temple in Jerusalem, as was customary for Jewish parents to present their firstborn sons to the Lord. This act was in accordance with the law of Moses, reinforcing the devout nature of Jesus’ earthly parents. The law required a sacrifice to be offered during this presentation, and Mary and Joseph bring a pair of doves or two young pigeons, a provision allowed for those who couldn’t afford a lamb.
At the temple, they encounter Simeon, a devout and righteous man who’d been waiting for the consolation of Israel. The Holy Spirit had revealed to Simeon that he wouldn’t die before seeing the Messiah. When Mary and Joseph bring Jesus into the temple, Simeon, guided by the Spirit, takes the child into his arms, and blesses God, recognising Jesus as the fulfilment of God’s promise. Simeon’s words express his readiness to depart in peace since he’s now seen the salvation of the Lord.
In addition to Simeon, a prophet named Anna is present in the temple. She’s described as an elderly widow who spent her days and nights in worship and fasting. Upon seeing Jesus, Anna praises God and speaks about the child to all who were looking forward to the redemption of Jerusalem.
The story is a rich narrative that highlights several themes. Firstly, it emphasises the faithful adherence of Mary and Joseph to the religious customs of their time, highlighting their obedience to the Law. Secondly, the encounter with Simeon and Anna underscores the prophetic fulfilment found in Jesus, recognising him as the long-awaited Messiah. Simeon’s acknowledgment that Jesus will bring both salvation and opposition foreshadows the complexities of Jesus’ earthly mission.
The passage also contributes to the broader theological narrative in the Gospel of Luke, which consistently portrays Jesus as the fulfilment of God’s promises to Israel and as a bringer of salvation to both Jews and Gentiles. The inclusion of these devout and spiritually sensitive individuals serves to reinforce the idea that Jesus’ arrival isn’t just a local event, but a momentous occasion with eternal implications.
Despite the profound significance of this story, here’s simple human encounter. It’s on this mundane level that we need to be like Simeon. We need to take Jesus into our arms, embrace him close to our hearts, and allow his spirit to infuse our souls and daily lives.
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