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vol 7: Notes 2004
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... to restore theology to the mainstream of science
Notes[Notebook: Transfinite field theory DB 56] [Sunday 15 February 2004 - Saturday 21 February 2004] [page 50] Sunday 15 February 2004The huge symbolic structure which we call the transfinite network is an example of what mathematicians know as function space. Here we begin to bring out model into contact with the world by connecting it to the formalism of quantum mechanics. Quantum mechanics is played in Hilbert space. Hilbert space is a variety of function space. The technicalities of function space fill a large and growing literature. Here we hope only to convey an intuitive feel for function space and provide a list of helpful references. Monday 16 February 2004Tuesday 17 February 2004Wednesday 18 February 2004Thursday 19 February 2004Friday 20 February 2004Everything flows. But constraints of consistency demand certain structure in flows. Our fundamental description of flow is quantum mechanics. We can visualize quantum mechanics by hydrodynamics. STASIS ==> FLOW Sometimes go with the flow means stop. [page 51] METAPHYSICS = flow is conserved. What is conserved in music? Maximum entropy = equiprobability. Law of large numbers says random process taking place over a space of cardinal number aleph(0) is defined to within 1/aleph(0), ie definite in the same degree as it is distinguished, which is in effect a tautology - the fundamental? We are a multi-dimensional Gaussian moving through time. The placing of letters in scrabble and any other constrained combinatorial exercise is a quantum mechanical process controlled by a vast hierarchy of physical and mental processes. We all need auditors. But what if nobody will listen? Pay for it. We begin metaphysics with Lonergan's slightly obscure definition 'the integral heuristic structure of proportionate being. Lonergan pp 415 sqq. In other words metaphysics is the most general and true guide to what is going on , or would like to be. From the point of view of a conscious and critical entity (criticism being the basis of survival) the key to metaphysics is that being admits of the existence of conscious entities that are capable of taking a conscious and critical look at their own existence. This is Lonergan's position. The debate with Lonergan (or the agreement with him) revolves around the meaning of 'proportionate'. [page 52] Here we model it with the notion of peer: peer systems are those with the same cardinality, capable of participating in reversible processes. SALVATION = REVERSIBILITY What is the invariant that defines orgasm : something to do with 'catastrophe', 'singularity', etc, a point of non-equivalence (undifferentiable?) ['point of accumulation'?] Saturday 21 February 2004Books
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