We sometimes see subjects such as chemistry, physics and, astronomy referred to as "branches" of science. This implies that, if we sought a way to connect all of the sciences together, we would end up with a structure somewhat like a tree with it's various branches. However, it seems to me that the structure is actually more like a ten-story building with each "branch" of science being one story, and being dependent for support on those stories beneath it.
1) The foundation of science is mathematics. Indeed, the majority of physicists involved with cosmology believe that everything is really just numbers being manifested. Mathematics are the fundamental patterns of everything that exists, and everything is a manifestation of these patterns. We can separate mathematics from science by defining mathematics as that which is completely understood, while science is that which is partially understood. This is because it is necessary to completely understand something in order to define it with numbers. We can see this in the calendar and the periodic table of the elements. We can thus conclude that statistics must be at the border region between science and math because, although it is considered as mathematics, we cannot describe exactly what will happen but can only give the odds of it happening due to incomplete knowledge.
2) The ground floor of the science structure is cosmology. This is the fundamental physics, forces and, particles of which matter is composed. The hydrogen atom, a simple arrangement of one electron in orbit around one proton, is also a part of the level. Everything above depends on this.
3) The next level is astronomy. This is the large scale structures across the universe that form by gravity from the atoms created in the level below.
4) The next level up is nuclear. This comes into play when enough mass comes together so that gravity overpowers the electron repulsion that keeps atoms apart and crunches smaller atoms, beginning with hydrogen, into the larger atoms of different elements. The reason that some elements are rare, while others are common, can be explained with a factor tree of numbers because heavier elements are simply lighter elements fused together. Elements are defined by the number of protons in the nucleus and those whose number has a lot of numerical factors tend to be more common than those that don't.
5) With different elements, we now have chemistry as the next level as atoms of those elements combine in various ways by either ionic bonding, when one atom loses an electron to another so that they bond by the resulting negative-positive attraction, or by covalent bonding when two or more atoms share an electron. Such chemical bonding does not take place in the interior of the stars where the atoms are produced, but outside after the atoms are thrown across space by a supernova.
6) When a supernova takes place, a star explodes and scatters it's component matter across space. This will include elements heavier than hydrogen, which will fall back together by gravity to produce a second-generation star as well as planets. This brings us to another, and more local, level of astronomy with a solar system. Our sun is such a second-generation star and virtually all of the matter in our solar system came from a star that exploded.
7) The next level incorporates all of the earth sciences. This is because our planet is relatively unique due to the nature of the matter that was brought together to form it. Earth sciences include geology, oceanography, meteorology and, climatology.
8) Now we come to basic biological science and the fundamental forms of life whose bodies contributed to the earth with the gradual formation of limestone, coal and, oil.
9) Then we arrive at the higher living things, including ourselves. this level of science includes anatomy, zoology and, medicine.
10) Now that we have reached the level of human beings, we are at the highest level of science with the "human sciences" of psychology, economics, sociology and, politics.
Can you see how reality is divided into ten very distinct levels, and each level depends for it's existence on the levels below?
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