Squaring the Circle
- Get link
- X
- Other Apps
Our youngest son asked me the other night, “Why do people talk about four corners of the earth? The earth is round. How can it have corners?”
As I answered, I realized I also had the answer to a so-called problem often posed by so-called atheists in their attempts to disprove the existence of God. The problem is, “Can God make a square circle?”
“After all,” they will say, “logic dictates that two discrete sets defined with mutually exclusive definitions have no elements in common; in other words, no ‘square’ could ever be made into a ‘circle.’”
The question intends to discredit God with semantics, an attempt to base His existence on a misunderstanding of His Omnipotence. The intent is to shoot at God while He is seemingly trapped in the corner of basic geometry. What does strength have to do with existence? You exist, though you can’t arm-wrestle yourself . . .
I used to answer this question with something like, “What does this have to do with the fact that you will stand before Him on Judgment Day?” Now I have to change my answer.
As I answered my son, I found I need to adjust my answer to the square-circle question with this:
“You are right. The laws of logic do dictate that ‘two discreet sets defined with mutually exclusive definitions have no elements in common’; however, God did much more than make a square circle. Instead He made a circle square; better yet, He cubed a globe. You are standing on His proof and depend on His geometry every time you get in your car and hit the interstate. Besides, what does that have to do with the fact that you will stand before Him on Judgment Day?”
Can God make a square circle? That’s not a hard question. That’s not even a good question. Give Him something really challenging!
Psalm 19 says, "The heavens are telling of the glory of God; and their expanse is declaring the work of His hands. . . . Their line has gone out through all the earth, and their utterances to the end of the world. . . ."
I realized that God did not merely indulge the question as it stands (about making square circles); rather, it almost seems as if He is mocking those who reject Him as He answers when the objector looks at his compass.
Let's consider something else, and to do so, we will need to go on a journey to Northumberland, England (just one place out of so many). Look out the window. What do you see?

Do you see those cliffs rising above the plain? At what angle would you say those cliffs rise? It does not take a genius to see right angles. You don't see them? You know that they are there even in the tiniest of crevices. This view caused me to remember that a "square" is not merely a polygon of four sides (a rhombus, kite, parallelogram and trapezoid have four sides). In non-euclidean geometry a square is particularly defined by each angle being at right angles . . .
But there are other kinds of geometry:
In spherical geometry, a square is a polygon whose edges are a great circle of arcs of equal distance, which meet at equal angles. Unlike the square of plane geometry, the angles of such a square are larger than a right angle.
In hyperbolic geometry, squares with right angles do not exist. Rather, squares in hyperbolic geometry have angles of less than right angles. Larger squares have smaller angles.
Confused? Me too, but it's only because I do not speak math-eneze. All I know is that when I consider all the crystal structures, cliffs, mountains and whatnot that cover this planet, and when I look at those angles from God's perspective (from space) I see a circle (I can't see all sides at once, but I really know it's a ball) that will cut with it's sharp edges!
"Why are the nations in an uproar and the peoples devising a vain thing? The kings of the earth take their stand and the rulers take counsel together against the LORD and against His anointed, saying, 'Let us tear their fetters apart and cast away their cords from us!' He who sits in the heavens laughs, the Lord scoffs at them." (Psalm 2:1-4)
“Where is the wise man? Where is the scholar? Where is the philosopher of this age? Has not God made foolish the wisdom of the world?” (1 Corinthians 1:20)
“By wisdom the LORD laid the earth's foundations, by understanding he set the heavens in place.” (Proverbs 3:19)
As I answered, I realized I also had the answer to a so-called problem often posed by so-called atheists in their attempts to disprove the existence of God. The problem is, “Can God make a square circle?”
“After all,” they will say, “logic dictates that two discrete sets defined with mutually exclusive definitions have no elements in common; in other words, no ‘square’ could ever be made into a ‘circle.’”
The question intends to discredit God with semantics, an attempt to base His existence on a misunderstanding of His Omnipotence. The intent is to shoot at God while He is seemingly trapped in the corner of basic geometry. What does strength have to do with existence? You exist, though you can’t arm-wrestle yourself . . .
I used to answer this question with something like, “What does this have to do with the fact that you will stand before Him on Judgment Day?” Now I have to change my answer.
As I answered my son, I found I need to adjust my answer to the square-circle question with this:
“You are right. The laws of logic do dictate that ‘two discreet sets defined with mutually exclusive definitions have no elements in common’; however, God did much more than make a square circle. Instead He made a circle square; better yet, He cubed a globe. You are standing on His proof and depend on His geometry every time you get in your car and hit the interstate. Besides, what does that have to do with the fact that you will stand before Him on Judgment Day?”Can God make a square circle? That’s not a hard question. That’s not even a good question. Give Him something really challenging!
Psalm 19 says, "The heavens are telling of the glory of God; and their expanse is declaring the work of His hands. . . . Their line has gone out through all the earth, and their utterances to the end of the world. . . ."
I realized that God did not merely indulge the question as it stands (about making square circles); rather, it almost seems as if He is mocking those who reject Him as He answers when the objector looks at his compass.
Let's consider something else, and to do so, we will need to go on a journey to Northumberland, England (just one place out of so many). Look out the window. What do you see?
Do you see those cliffs rising above the plain? At what angle would you say those cliffs rise? It does not take a genius to see right angles. You don't see them? You know that they are there even in the tiniest of crevices. This view caused me to remember that a "square" is not merely a polygon of four sides (a rhombus, kite, parallelogram and trapezoid have four sides). In non-euclidean geometry a square is particularly defined by each angle being at right angles . . .
But there are other kinds of geometry:
In spherical geometry, a square is a polygon whose edges are a great circle of arcs of equal distance, which meet at equal angles. Unlike the square of plane geometry, the angles of such a square are larger than a right angle.
In hyperbolic geometry, squares with right angles do not exist. Rather, squares in hyperbolic geometry have angles of less than right angles. Larger squares have smaller angles.
Confused? Me too, but it's only because I do not speak math-eneze. All I know is that when I consider all the crystal structures, cliffs, mountains and whatnot that cover this planet, and when I look at those angles from God's perspective (from space) I see a circle (I can't see all sides at once, but I really know it's a ball) that will cut with it's sharp edges!
"Why are the nations in an uproar and the peoples devising a vain thing? The kings of the earth take their stand and the rulers take counsel together against the LORD and against His anointed, saying, 'Let us tear their fetters apart and cast away their cords from us!' He who sits in the heavens laughs, the Lord scoffs at them." (Psalm 2:1-4)
“Where is the wise man? Where is the scholar? Where is the philosopher of this age? Has not God made foolish the wisdom of the world?” (1 Corinthians 1:20)
“By wisdom the LORD laid the earth's foundations, by understanding he set the heavens in place.” (Proverbs 3:19)
- Get link
- X
- Other Apps
Popular posts from this blog
I’ll Be Gnome For Christmas
The Island-Fish
“O ye passengers, whom may God preserve! come up quickly in to the ship, hasten to embark, and leave your merchandise, and flee with your lives, and save yourselves from destruction; for this apparent island, upon which ye are, is not really an island, but it is a great fish that hath become stationary in the midst of the sea, and the sand hath accumulated upon it, so that it hath become like an island, and trees have grown upon it since times of old; and when ye lighted the fire upon it, the fish felt the heat, and put itself in motion, and now it will descend with you into the sea, and ye will all be drowned: then seek for yourselves escape before destruction, and leave the merchandise.—The passengers, therefore, hearing the words of the master of the ship, hastened to go up into the vessel, leaving the merchandise, and their other goods, and their copper cooking-pots, and their fire-pots; and some reached the ship, and others reached it not. The island had moved, and descended...
“And so, about this tomb of mine . . . “
“VANITY, saith the preacher, vanity! Draw round my bed: is Anselm keeping back? Nephews—sons mine … ah God, I know not! Well— She, men would have to be your mother once, Old Gandolf envied me, so fair she was! What’s done is done, and she is dead beside, Dead long ago, and I am Bishop since, And as she died so must we die ourselves, And thence ye may perceive the world’s a dream. Life, how and what is it? As here I lie In this state-chamber, dying by degrees, Hours and long hours in the dead night, I ask “Do I live, am I dead?” Peace, peace seems all. Saint Praxed’s ever was the church for peace; And so, about this tomb of mine. I fought With tooth and nail to save my niche, ye know: —Old Gandolf cozened me, despite my care; Shrewd was that snatch from out the corner South He graced his carrion with, God curse the same! Yet still my niche is not so cramped...