What is finite and what is truly infinite?
Key working articles:
Editor's note: "Working article" means "always in process."
• Beginnings: Did a Quiet Expansion precede a Big Bang?
Some of our high school students think our scientific community makes the study of Science, Technology, Engineering and Mathematics (STEM) all too difficult to understand and overly complex by defying a certain commonsense logic. (Reference #1)
We have been studying simple math and simple geometries from the smallest possible measurement of a length to the largest (Reference #2). It appeared to some of the students, based on this work, that the universe is obviously finite. They have been told that intellectually and historically, it is an open question. For them, "Make a choice and see where it takes you."
These students also conclude, "Only God is Infinite. All things within space and time are finite ." (Reference #3) When asked about all the universals-and-constants and space-and-time, the concurrence is that these are the access paths, interconnections and transformations between the Finite and the Infinite.
For the best of these students, asking the question, "What is the Infinite?" is like asking the question, "Who is God?" And, they have answers.
Of course, as a result of a little coaching, they say, "First, God is Perfect." When asked, "What is perfection?" they echo their coach: "Perfection is order-continuity, relations-symmetry and dynamics-harmony, all rolled into one." (Reference #4) That amounts to an understanding of the Infinite without importing all the related history and revelation from the various faith statements with our very short history throughout our little world. The Finite is another story. We turn to many people from Euclid to Einstein for inspiration to provide the academic and religious communities with our simple observations and assumptions.
Hardly postulates and axioms, our statements are a praxis in-search-of theoria:
If these statements are taken as a given, then what kind of universe and what kind of science do we have? Should we re-examine the use of infinity throughout the ages going back to the ancient Greeks? Should we reconsider the theory of indivisibles? And, perhaps we should even reconsider the very nature of the Big Bang and its theory.
Of course, that is our agenda (Reference #8), our current focus for the immediate future.
1. One of two key general overview and working article, Order in the Universe
2. One of the earliest reflections on all our efforts and work: http://smallbusinessschool.org/page3004.html
4. In light of those constants, universals and the finite-infinite relation, the nature of perfection seems to follow: http://smallbusinessschool.org/page1695.html
5. Examining basic structure in basic ways: http://smallbusinessschool.org/page2546.html#TetraInside
6. Our first look at the progression of doublings. This listing was written to accompany an article for Wikipedia: http://smallbusinessschool.org/page2847.html
© 2014, Small Business School, Bruce Camber