Like a collection of poems with an underlying mystical theme, this dissertation is a kaleidoscope puzzle of images and thoughts and concepts and ideas taken from mysticism, science, logic, and mathematics. The end result, as the puzzle pieces are linked together, is a new portrait of number. The reader is challenged to solve a conceptual picture puzzle using the chaotic scattering of puzzle pieces challenge established ideas. Some of the pieces are decoys leading to dead ends. Some are in the background. Others are transitional pieces. And, there are pieces that give the reader glimpses of the writer of this thesis. So, exactly what is infinity? As the pieces of the puzzle are put together, a new concept of infinity emerges, a concept that may be of interest to the mystics, the philosophicians who are open to a new window through which to view reality. This treatise on infinity is the result of two mysterious experiences of the author which were more real to him than the testimony of his senses. He did not identify them with God. For him they came from the future as a glimpse of mankind’s potential destiny. His thesis is an attempt to point out a path that makes the yet to be discovered universe viable.
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