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Notes

[Notebook: Transfinite field theory DB 56]

[Sunday 8 August 2004 - Saturday 14 August 2004]

Sunday 8 August 2004

Back to Jauch 1968 after all these years and the propositional model of observables via yes/no experiments. Jauch This, he says, gives us kinematic models of both classical and quantum physics and gives us a way both to distinguish between these two approaches and shows quantum mechanics as an extension, rather than a contradiction of classical mechanics.

[page 155]

Need a careful study of Jauch as a bridge from physics to metaphysics via logic a la Russell.

Skill is induced by danger.

These ideas continue the process of removing humanity from the centre stage while increasing the glory of the Universe by revealing that even its simplest elements are just as intelligent as we are in their ability to diagonals infinite matrices.

'Magnitude' is not an essential feature of number but simply order and identity. Numbers can be used to model magnitude by choosing a unit of magnitude and letting it correspond to one, and so on. The pure mathematical correspondence between number and magnitude is between number and entropy.

Monday 9 August 2004
Tuesday 10 August 2004
Wednesday 11 August 2004

Since growth is inherently exponential there is exponential benefit to be had both by nipping undesirable growths off as soon as possible and by promoting beneficial growths as soon as possible. Time, in other words, is of exponential essence.

Thursday 12 August 2004
Friday 13 August 2004

The real; world is only an infinitesimally small fraction of 'what stands to reason'.

We may surmise that the impact of its hardware and software environment on a peer group is infinitesimal (measure zero) relative to the peer group. In other words I, as a peer group,

[page 156]

see a negligible amount of the process that makes me tick, as also I see a negligible amount of the more complex processes within which I am a subroutine.

Mind is a permutator with an 'insight' detector. Like a move in chess, an insight is a move that may lead closer to the goal. That this is so must be tested first abstractly in planning and then concretely after the move is made.

Saturday 14 August 2004

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Further reading

Books

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Jauch, Jozef Maria, Foundations of Quantum Mechanics, Addison-Wesley Pub Co 1977 Preface: 'This book is an advanced text on elementary quantum mechanics. By 'elementary' I designate here the subject matter of non-relativistic quantum mechanics for the simplest physical systems. With the word 'advanced' I refer to the use of modern mathematical tools and the careful study of difficult questions concerning the physical interpretation of quantum mechanics. These questions of interpretation have been a source of difficulties from the beginning of the theory in the late twenties to the present day. ' 
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