Another Perspective
Carl Gustav Jacob Jacobi was one of the world’s great mathematicians. Yet what made him especially interesting was not only the discoveries he made but the way he approached difficult problems.
Jacobi believed that when trying to solve a challenging problem, it helped to turn it around and look at it from the opposite direction. He is credited with saying, “Man muss immer umkehren,”[1] which means, “One must always invert.” In other words, we often understand an idea more fully when we consider not only what it is but also what it is not.
Take, for example, the attribute of charity. Paul, the ancient Apostle, taught about this pure form of love by describing both what it is and what it is not. Charity “suffereth long, and is kind.” It “rejoiceth in the truth” and “beareth all things, believeth all things, hopeth all things, endureth all things.” But Paul also taught that charity “envieth not,” “is not puffed up,” “seeketh not her own,” and “is not easily provoked.”[2] In other words, love is patient and kind; it is not proud, selfish, or resentful.
The practice of inversion can help us understand not only the things of this world but also the things of heaven. It can help us see our lives, our relationships, and even our trials from a higher perspective.
At a recent award ceremony, the guest of honor rose to speak. He chose his words carefully, each phrase coming with great effort due to his suffering from throat cancer. He said, “I’m grateful to God for everything He has given me, including my disease.”
His faith and perspective inspired all who heard him. In a sense, he had inverted his challenge. Instead of seeing only what his illness had taken, he could also see what it had taught. That higher perspective enabled him to move forward with faith, even amid great trial.
May we seek to more fully understand life’s problems by viewing them not only for what they are but also for what they are not. As we do, we open our minds and hearts to heaven. We begin to see our challenges in a new light—not only as obstacles that interfere with our happiness but as opportunities to grow, to learn, and to progress.
[1] Carl Gustav Jacob Jacobi, in Harish Kewsani, “Inversion Thinking,” Decisions Matter, decisionsmatter.in.
[2] 1 Corinthians 13:4–8.
August 16, 2026
Broadcast Number 5057
The Tabernacle Choir
Orchestra at Tempe Square
Conductor
Mack Wilberg
Organist
Joseph Peeples
Host
Derrick Porter
Let There Be Light!
Gilbert M. Martin
Look to the Day
John Rutter
Fuga in C Major (“JIG”)
Dietrich Buxtehude
Because of Him
American folk hymn, arr. Mack Wilberg
Over the Rainbow, from The Wizard of Oz
Harold Arlen, arr. Arthur Harris
On Great Lone Hills, from Finlandia
Jean Sibelius, arr. H. Alexander Matthews