If Isaiah 40:22 is not a lesson in science, all the more so 40:26 is not. But could it be another example of the Bible being accurate when it happens to touch on matters of science?
“Lift up your eyes to heaven and see. Who has created these things? It is the One who brings out their army by number; He calls them all by name. Because of his vast dynamic energy and his awe-inspiring power, Not one of them is missing.” (Isaiah 40:26) What are “these things?” They are the heavens, the stars.
Got it. It’s not a science lesson. Yet, not to overanalyze the point, it turns out there’s a connection between “vast dynamic energy” and these “created things.” It is even described with mathematical precision: E=mc². It has been demonstrated numerous times since World War II. The tiniest bit of mass times the speed of light squared yields a staggering amount of energy. Surely, the reverse must also hold, that a source of infinite energy can convert some of it to mass.
Why should this relationship be this is written so compactly? Why shouldn’t it be a hopeless hodgepodge of a mathematics mess? If you jam the keys of a piano together, it sounds like garbage and it looks like garbage in math. But if you do harmonious music, the mathematics is elegant. Notes that harmonize are simple ratios of each other. Notes that don’t are not.
Basic laws of physics are expressed in the terms of often-simple mathematics. Newton discovered that force equals mass times acceleration, for example (F=ma). From Galileo: the distance a ball falls in t seconds is 16 times the square of t. (d=16t²). Why shouldn’t the answer be a hopeless mishmash, like your sock drawer, instead of a compact formula? It was enough for Galileo to proclaim that “God wrote the universe in the language of mathematics.” For centuries, scientists pursued their topic as though a religious quest, as a means to uncover the design of God and thereby give him praise.
When Kepler worked out the laws governing planetary motions [they move in ellipses, not circles] and published the results, he suddenly let loose with a paean to God, smack dab in the middle of his treatise. If you didn’t know better, you’d think it was one of the Bible psalms: “The wisdom of the Lord is infinite; so also are His glory and His power. Ye heavens, sing His praises! Sun, moon, and planets glorify Him in your ineffable language! Celestial harmonies, all ye who comprehend His marvelous works, praise Him. And thou, my soul, praise thy Creator! It is by Him and in Him that all exists. that which we know best is comprised in Him, as well as in our vain science. To Him be praise, honor, and glory throughout eternity.”
Does it not dovetail with this proclamation from Revelation 4:11? “You are worthy, Jehovah, even our God, to receive the glory and the honor and the power, because you created all things, and because of your will they existed and were created.”
Those early scientists didn’t experiment much. Instead, they worked out the math, since they were convinced that underlay how God designed things. When they made experiments it was mostly to confirm results. Newton once said it was done to convince the “vulgar,” (He also told how he made up the story of the falling apple to dispose of pesky people who asked him how he discovered laws of gravitation.) And Galileo, when describing an experiment of dropping two different masses from the top of a ship’s mast, has his fictional creation, a fellow named Simplicio, ask whether he actually made such an experiment. “No, and I do not need it, as without any experience I can confirm that it is so because it cannot be otherwise,” was his reply.
Can one just sit and think the makeup of the universe? Turns out that you can, assuming you are very smart and you have correctly identified the variables. Newton played with the notion of firing a giant cannonball from a mountaintop with just enough velocity, not too much and not too little, that it’s ordinary straight line path would be continually offset by the earth’s pull so that it would orbit the planet indefinitely. He obviously didn’t perform such an experiment, it was all in his head. Working from a few known quantities (radius of the earth, distance a body falls in the first second) he deduced laws of universal gravitation: The gravitational attraction between two masses (m1 and m2) is F = k(m1·m2/r²). Like Kepler, gave God all the glory:
“This most beautiful system of sun, planets, and comets could only proceed from the counsel and dominion of an intelligent and powerful Being…This Being governs all things, not as the soul of world, but Lord over all.” Mathematical Principles, 2nd edition.
It gets more beautiful and stranger still. In 1785, Charles Coulomb published the law of force between two electrically charged bodies, q1 and q2: F =- k(q1·q2/r²) where k is a constant and r is the distance between the two bodies. What even the dumbest person in class can’t miss is the law’s identical form to that of gravity, a wholly different phenomena, outlined above with Newton. The gravitational attraction between two masses (m1 and m2) isF = k(m1·m2/r²)The only difference is that electrical force can attract or repulse, depending on whether the two bodies have equal or opposite charges; gravity always attracts. “The universe is whispering its secrets to us in stereo,” says the book ‘The Universe Speaks in Numbers,’ referring to the cooperation of physics and mathematics, but it might also be applied to this case of how different phenomena share the same formula.
Is this another way in which humans are created in God’s image—that we can speak the same language as He in establishing creation? Usually it is his sense of justice that we are said to resonate with, or the quality of love, but is pure thought another? “The most incomprehensible thing about the universe is that it is comprehensible,” said Einstein.
However, a funny thing has happened over the years in connection with the language of mathematics. If you can speak the language, you can create sentences with it. In time, mathematicians began devising different mathematics, using different axioms as starting points. These were often bizarre mathematics, with no conceivable application to reality. But, then, just as bizarrely, it turned out that some of them did apply.
The comic strip tyke character Calvin’s eyes bugged out of his head when his stuffed tiger Hobbes (turned real tiger when nobody was around), suggested a simple arithmetic homework problem would require use of “imaginary numbers!” The kid had all he could handle with real numbers! He either sloughed off his assignments on Susie or doomed himself to a failing grade. Who would not recoil at imaginary numbers, based on the square root of minus one? Surely, there can be no such thing; any number times itself, even a negative number, is invariably positive.
But it subsequently turned out that imaginary numbers (also colled complex numbers) are essential to quantum physics. The topic cannot be understood (to the extent it is) without them. It is as though a product essential to earth cannot be manufactured on earth, so it is exported to some weird planet for manufacture and then the results are imported back where they prove useful.
Similarly, strange non-Euclidian geometries have proven essential to understand relativity—which not everybody does, but nobody does without the offbeat math. Albert Einstein cruised the Atlantic in the company of a statesman friend who later reported: “Dr. Einstein explained his theory to me every day. By the time we arrived, I was fully convinced that he really understands it.” You need the “crazy” math to do it. There are countless other examples of “crazy” math in time proving itself useful.
Writing bizarre math statements in the language that God uses, then finding some, but not all, of those statements used in creation, produced a strange effect on immodest mathematicians. By that time, along with the rest of evolution-fed society, they had become dubious of God. So, they thereby rechristened “creation” as “reality” or just “the universe” to escape any God implication. It began to seem to them as though they were the creators of the language, of which “God” utilizes only a subset. The feeling grew and has become popular that humans have invented mathematics, rather than discovered it. As with Darth Vader to Obi Wan, the pupil had fancied himself the master.
Mathematics plainly exists “out there” somewhere, but if you’ve quit believing in God, where can the “out there” be but within our own heads? It must be that they invented it themselves, they reasoned. Why does it fit reality so well? To hear their account, it’s as though the learned one fuss and fret, tossing away one measure that doesn’t work after another, till they finally find something that does work to describe something. You mean that there were a few thousand wanna-be Galileos describing gravity in all sorts of harebrained ways, until the master himself came along and found a way to reduce it all to a few letters and numbers? I’m dubious. “The first effect of not believing in God is that you lose your common sense,” G. K. Chesterton said.
Something about this revised “dissident” view reminds me of Larry King telling how it was with 7-Up. The soft drink was wildly successful—but only after the inventor flopped with 1-Up, 2-Up, 3-Up, 4-Up, 5-Up, and 6-Up. To add insult, the new view of math conforming to us rather than we to it is applied by atheistic thinking to creation itself. The reason the universe is so precisely tuned to the needs of life, these persons say, is because if it were anyway else, we wouldn’t be here to talk about it. Douglass Adams addresses people who believe that God must exist since the world so fits our needs by comparing them to an intelligent puddle of water that fills a hole in the ground. The puddle is certain that the hole must have been designed specifically for it because it fits so well. it is a brilliant illustration. All that one must do for it to be perfect is find an intelligent puddle of water.
Backtracking in time, Physicist Heinrich Hertz observed of the mathematics underlying reality: “One cannot escape the feeling that these equations have an existence and an intelligence of their own, that they are wiser than we are, wiser even than their discoverers, that we get more out of them than was originally put into them.” We do indeed get a lot out of them. So much so that some became completely oblivious to what was “put into them” in the first place and who did the “putting.” “One cannot escape the feeling,” Hertz stated. Yet today’s materialistic society has managed to just that.
Can you “prove” to the ones favoring invention (as opposed to discovering) that they are wrong? Frankly, you cannot. Best to admit it. As with all things human, the heart decides what it wants and then charges the head to devise a convincing rationale for it. This lends the appearance that the head is calling the shots, but it is the heart all along. Best admit it. it is beyond the scope of “proof.” It’s sort of like when Trump met with the newly elected Mandami and everyone thought there were going to be fireworks. Instead, the meeting appeared friendly. So media asked Mamdani, didn’t he previously call Trump a facist? The New York mayor begins to him and haw (because he had) whereupon, the president interjected: “Just admit it. It’s easier.’
Oddly, though mathematics has proven so astoundingly successful at describing the universe we live in, its success lies in giving up on a greater goal. Long before Galileo, Aristotle and his contemporaries wanted to know WHAT things were. They didn’t bother much with description, since that seemed of secondary importance. Only when scientists reversed priorities did they discover mathematics served as an amazing tool of description, though not explanation. This lack of explanation was a sore point for some of Newton’s contemporaries, steeped in the tradition of Aristotle. Leibniz, who independently of Newton, discovered calculus, muttered that Newton’s gravitational laws were merely rules of computation, not worthy of being called a law of nature. Huygens labeled the idea of gravitation “absurd” for the same reason: it described effects but did not explain how gravity worked.
Newton agreed. In a letter to a Richard Bentley he wrote: “That one body may act upon another at a distance through a vacuum without the mediation of anything else, by and through which their action and force may be conveyed from one to another, is to me so great an absurdity that, I believe, no man who has in philosophic matters a competent faculty of thinking could ever fall into it.” Is the latter goal, discovering what something is rather than just how it works, reserved for the mind of God? Perhaps that explained why Isaac Newton wrote more about God than he did of math and science combined.
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