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vol 7: Notes
2002

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... to restore theology to the mainstream of science 

 

[Notebook Turkey, DB 55]

[Sunday 3 March 2002 - Saturday 9 March 2002]

[page 59]

Sunday 3 March 2002
Monday 4 March 2002
Tuesday 5 March 2002
Wednesday 6 March 2002
Thursday 7 March 2002
Friday 8 March 2002
Saturday 9 March 2002

The simplest language is isomorphic to the system it is supposed to represent.

REPRESENTATION (Noun)
TRANSFORMATION (Verb)

Bioinformatics produces and processes genomic models.

A transformation can be represented and a representation

[page 60]

can be transformed. Bilingual interpreter.

A language must be isomorphic to its subject matter.

History: particular to general - science
Analysis: general (axioms) to particular - technology.

COMMUNICATE: we say that two partially ordered sets A and B communicate when they exchange an element that changes the ordering of both A and B.

A communication system is complete when a protocol exists to communicate all possible changes of ordering, ie the sets are able to induce every element of the permutation group in one another. Is this a step toward linking communication space and Hilbert space? The 'gauge' condition is that the sets can change one another's ordinal numbers but not their cardinal numbers. Here we have a definition of violence: a violent communication is one that reduces the cardinal number of the set. A creative communication on the other hand increases the (effective) cardinality of a set by communicating new order.

Our abstract model for body is ordered set. Each time I have a new idea I add another ordered set to myself by creating order between erstwhile incomparable elements of myself. Adding new structure may be modelled by the addition of a new set to myself orthogonal to all existing sets.

[page 61]

ORTHOGONALITY = TRINITY

Theology discusses a world with just two bounds: cardinality and consistency : cardinal and logical confinement. [However, Cantor's theorem tells us that logical confinement requires increasing cardinality].

While most of us have got our heads down trying to feed our families, and keep up appearances, a theologician's task is to fly so high as to be able to see the whole picture and shout down instructions about the best way to move to lighten the burdens of life.

 

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