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From the May, 2000 issue of Touchstone

 

Ecclesiastical Math by Thomas S. Buchanan

Ecclesiastical Math

As the Lord commanded Moses, so he numbered them in the wilderness.
—Numbers 1:19

One might think that a faith that holds the book of Numbers in high esteem might be popular with mathematicians, but sadly this isn’t the case. With the accounts of the seven days of creation, forty years in the wilderness, and one hundred forty-four thousand sealed, one might think that experts in number theory would have felt at home with our faith from its very beginning. This is all the more true since the early Church read the book of Numbers from a translation known as The Seventy (i.e., the Septuagint or LXX).

One could postulate that mathematicians find the church teachings troublesome because the Church has its own rules for arithmetic. For example, Pentecost is the feast that follows 50 days after Easter (hence the name). But at exactly seven weeks later, it seems like it ought to be called “Fortynineocost.”

It comes as no surprise that we have lost our understanding of the church’s numbering system. We see this even in popular traditions. For example, few people in our society know when the twelve days of Christmas are, and even many of those who do know cannot tell on which day Twelfth Night falls. But this, of course, comes from a culture that starts reckoning the third millennium since our Lord’s birth a year early.

A friend recently asked me why, since it is forty days long, Lent begins on Ash Wednesday. He figured that if one counted back forty days from Easter one ought to arrive at Ash Wednesday. No, Ash Wednesday is more than forty days before Easter because Sundays are not counted as fast days. Then he asked what Septuagesima Sunday was. I told him it was Latin for “70 days” and starts a countdown towards Easter in the Western liturgical tradition. He then asked why it was celebrated nine weeks (i.e., 63 days) before Easter instead of ten (since seven times ten is seventy, not seven times nine). Although I tried to explain it in terms of its position relative to Quinquagesima Sunday and Sexagesima Sunday, I could tell that he was too bewildered to follow me.

Even our Lord’s Passion can be viewed as a mathematical conundrum. In a popular translation of First Corinthians, chapter fifteen, one finds “. . . Christ died for our sins just as he said he would, and that he was buried, and that three days afterwards he rose from the grave. . . .” If one starts on Friday, “three days afterwards” does not generally bring one to Sunday. We know that Christ was in the grave less than 40 hours, but only by using the church’s arithmetic could this be calculated from “three days afterwards he rose from the grave.”

The Apostle Paul said that Christianity would seem like foolishness to the Greeks—the intelligentsia of the day. Of course, the mathematics of the kingdom of heaven are bound to be confusing when they are rooted in one God in three Persons. If a founding principle is that one equals three, it is hardly reasonable to expect the rest of the math to always make sense.

If it appears that the Church shows blithe disregard for the basic rules of mathematics, it is because it is designed for another world. Such things are, by their very nature, beyond our understanding. Regarding these things, King David’s words provide the best advice: “I do not occupy myself with things too great and too marvelous for me.”


Thomas S. Buchanan is a member of the Orthodox Church and lives in Chester County, Pennsylvania, with his wife and three children.

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