The problem of continuum versus discreteness seems to be related to the issue of infinity and finiteness. The number of points in a line served as the logical floodgate which led to the development of Set Theory by Cantor at the end of the 19th century. It took almost another century to demonstrate the problematic nature of some of Cantor's thinking (Cohen completed Godel's work in 1963). But continuity can be finite and the connection is, …
showed first 75 words of 2013 total

showed last 75 words of 2013 total
…primordial sin, not so easily atoned for. The measurement problem (see: "The Decoherence of Measurement") is at the very heart of Quantum Mechanics : if the observer actively participates in the determination of the state of the observed system (which, admittedly, is only one possible interpretation) - then we are all (observer and observed) members of one and the same continuum and it is discreteness which is imposed on the true, continuous, nature of the Universe.