Galileo’s Continuum

From Wikipedia, the free encyclopedia, one finds many different kinds of continuums and continua. (click) There, the "continuum theory" is anything that goes through a gradual transition from one condition, to a different condition, without any abrupt changes or discontinuities. I believe that this theory must change as I show below.

Galileo’s continuum in geometry, surfaces, and solids is also found in Chapter 6 of Raymond J. Seeger’s book on "Galileo Galilei, His Life and His Works," which I mention in my last blog. When extending a geometrical line, Galileo concludes that a geometrical line cannot be divided into finite parts that are countable. Instead, he says that a line can be cut into parts only with an infinite number of indivisible parts. In geometrical lines, he refers to indivisibles are ‘empty spaces.’ When dealing with solids, Galileo also uses indivisibles. In solids, he calls them ‘atoms.’ I believe that the concept of indivisible and Galileo’s use of indivisibles originate in the modern theology of Nicholas of Cusa as ‘spirits’ or ‘souls.’

In the modern theology of Nicholas of Cusa, all created things are constructed from God’s ‘essential stuff’ or Essence. So, the essential stuff of every created thing in the universe comes from God by participating in the Essence of God. An example of God’s Essence in geometry is God’s infinite geometrical line. Every natural geometrical line found in the universe is thus finite and originates in God’s infinite line. Since no two created things exist in the universe, each finite line in the universe participates unequally in God’s infinite line. Here, one sees one aspect of the intelligent design of God.

Thus, Galileo was correct to say that all parts in all lines are indivisible and infinite in number. The same is true for all solids. This is why I say in my book that the atoms of the universe must exist and that they must be spiritual atoms rather than physical atoms. Obviously, physical scientists are wrong to view wholes as 'a sum of its parts.' The parts of created things in the universe are not countable. Only the parts of things made by man can be counted.

It is becoming very clear to me that modern theology revealed a new science beyond the science developed by the ancients and some of the scriptures. But, the new science is not at all like the sciences used by many of today’s modern scientists.