Mind of God

Science reveals it, as Einstein & Leibniz discovered, in this excerpt from a recent article in "First Things".

Deciphering the Mind of God
By Michael Heller
Monday, March 17, 2008, 6:20 AM

The seventeenth-century German mathematician and philosopher Gottfried Wilhelm Leibniz is my philosophical hero. I am proud (but not quite happy) that I share with this great philosopher at least one feature. He was a master in spreading, not to say dissipating, his genius into too many fields of interest. If he had a greater ability to concentrate on fewer problems, he would have become not only a precursor but also a real creator of several momentous scientific achievements. But in such a case, the history of philosophy would be poorer by one of its greatest thinkers. This is not to say that in my case the history of philosophy would lose anything. This is only to stress the fact that I am interested in too many things.

Amongst my numerous fascinations, two have most imposed themselves and proven more time resistant than others: science and religion. I also am too ambitious. I always wanted to do the most important things, and what can be more important than science and religion? Science gives us Knowledge, and religion gives us Meaning. Both are prerequisites of a decent existence. The paradox is that these two great values seem often to be in conflict. I am frequently asked how I could reconcile them with each other. When such a question is posed by a scientist or a philosopher, I invariably wonder how educated people could be so blind as not to see that science does nothing else but explore God’s creation. To see what I mean, let us go to Leibniz.

In a copy of his Dialogus, in the margin we find a short sentence written in his own hand. It reads: “When God calculates and thinks things through, the world is made.”

Everybody has some experience in dealing with numbers, and everybody, at least sometimes, experiences a feeling of necessity involved in the process of calculating. We can easily be led astray when thinking about everyday matters or pondering all pros and cons when facing an important decision, but when we have to add or multiply even big numbers everything goes almost mechanically. This is a routine task, and if we are cautious enough there is no doubt as far as the final result is concerned. However, the true mathematical thinking begins when one has to solve a real problem, that is to say, to identify a mathematical structure that would match the conditions of the problem, to understand principles of its functioning, to grasp connections with other mathematical structures, and to deduce the consequences implied by the logic of the problem. Such manipulations of structures are always immersed into various calculations, since calculations form a natural language of mathematical structures.

It is more or less such an image that we should associate with Leibniz’s metaphor of calculating God. Things thought through by God should be identified with mathematical structures interpreted as structures of the world. Since for God to plan is the same as to implement the plan, when “God calculates and thinks things through,” the world is created.

We have mastered a lot of calculation techniques. We are able to think things through in our human way. Can we imitate God in His creating activity?

In 1915, Albert Einstein wrote down his famous equations of the gravitational field. The road leading to them was painful and laborious—a combination of deep thinking and the tedious work of doing calculations. From the beginning, Einstein saw an inadequacy of Newton’s time-honored theory of gravity: It did not fit into the spatio-temporal pattern of special relativity, which was a synthesis of classical mechanics and Maxwell’s electrodynamical theory. He was hunting for some empirical clues that would narrow the field of possibilities. He found some in the question, Why is inertial mass equal to gravitational mass in spite of the fact that, in Newton’s theory, they are completely independent concepts? He tried to implement his ideas into a mathematical model. Several attempts failed. At a certain stage, he understood that he could not go further without studying tensorial calculus and Riemannian geometry. It is the matter distribution that generates space-time geometry, and the space-time geometry that determines the motions of matter. How to express this illuminating idea in the form of mathematical equations? When finally, after many weeks of exhausting work, the equations emerged before his astonished eyes, a new world had been created.