That is quite a profound reply.
I agree. It seems to me that mathematics is a quantitative branch of logic (a man-made construct) that helps us make predictive models describing the physical world.
I have a slightly different take. I agree that we invented the symbolic language to describe a concept, as we have done with all other languages. Why do we use "c" to indicate the speed of light? Maybe because it describes a universal mathematical "constant"? But where can the logic be found in that constant? In fact, it is a locically counter-intuitive phenomenon. Yet the mathematics have proven that "c" a universal constant, in spite of the logical "begging the question".
But the speed of light came long before we arrived on the scene. Thus the mathematics of "c" existed long before we named it "c". IOW, we invented the mathematical language to describe a discovered universal mathematical constant, and proved it, even if this constant is illogical on the face of it.
Is chaos logical or illogical?
And so it is with all of our mathematical language. It is always based on proven universal properties and functions and in theoretical science we are able to use mathematics to predict the existence of "uknown" or "unobservable" universal properties and functions.
I agree that the universe functions "logically". But mathematics (if done correctly) are of necessity logical.
The catch is that the logic is not always observable or even intuitive. Thus saying the universe functions logically is too large a concept to make any predictions.
Logic has no language, other than Mathematics, which allows us to discover the logic behind the expressions in reality and formalize the logic through the language of numbers and equations.
Thus, if the maths are correct we can identify the logical functions of the universe, ergo, Mathematics is the logical "language" of the universe.
IMO, to say the universe is logical is not much different than saying the universe functions mathematically. The great difference is that the maths can be understood by all scientists, while logic is dependent on Relativistic observation, which may lead to "garbage in, garbage out", as was done for thousands of years.
Mathematics don't just describe the physical world, it can predict things, which are impossible to predict by pure logic.
Albert Einstein said: “The most incomprehensible thing about the universe is that it is comprehensible.” Physicist Eugene Wigner wrote of “the unreasonable effectiveness of mathematics” in science
http://www.scienceandreligiontoday.com/2010/04/01/is-mathematics-invented-or-discovered/
and
Penrose famously believes that mathematics has an independent existence, a “Platonic existence” (following Plato’s “forms”) that is radically distinct from physical space and time. “Certainly,” he says, “mathematicians view mathematics as something out there, which seems to have a reality independent of the ordinary kind of reality of things like chairs, which we normally think of as real. It’s sometimes referred to as a ‘Platonic world,’ a Platonic reality. … I like to think of mathematics as a bit like geology or archeology, where you’re really exploring beautiful things out there in the world, which have been out there, in fact, for ages and ages and ages, and you’re revealing them for the first time.”
http://www.scienceandreligiontoday.com/2010/04/01/is-mathematics-invented-or-discovered/
"Logic is the essence of the universe, mathematics is the accurate translation (proof) of this essence."
Compare this to,
"God is the essence of the universe, theology is the translation (proof) of this essence".