vol 7: Notes
2003
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... to restore theology to the mainstream of science
[Notebook Turkey, DB 55]
[ Sunday 9 march 2003 - Saturday 15 March 2003]
[page 159]
Sunday 9 march 2003
Monday 10 March 2003
Tuesday 11 March 2003
Wednesday 12 March 2003
Thursday 13 March 2003
Hilbert space is a function space. We generate the second transfinite number (aleph(1)) by considering all the functions (permutations) of sets of cardinal number aleph(0) onto themselves. Each permutation is a one-one function, eg 1 -> 2, 2 -> 3, 3 -> 4, etc) which can be represented by a point in an aleph(0) dimensional Hilbert space. Eg let aleph(0) = 2 (where 2 is the machine infinity, then we have the points 1 -> 1 and 2 -> 2 (the identity function) or 1 -> 2, 2_->1, the other function.
H space is a space normed by integration (flattening) of functions, ie by establishing a flattened communication channel between the various functions in the space [through which they are transformed into one another]. The inner product in a discrete space is equivalent to the integral in a continuous space.
Friday 14 March 2003
Sophie's World. Gaarder.
page 4: Who are you? ...
Darwin introduced the 'relativity of structure; which is analogous to Einstein's relativity in spacetime.
[page 160]
6: Fiction -> dramatization -> impedance matching (to human input channels)
8: always existed = symmetrical with respect to time = eternal (conservation of energy) ...
12: 'But there is something else ... that everyone needs, and that is to figure out who we are and why we are here.'
19: The myths. All explanations are in fact fictions created in whatever language is available to the source. How things are distinguished is by their conformity to reality, the more precise the conformity, the 'truer' the fiction. So the stealing of Thor's hammer and the giant's demand for Freya as wife. The day is saved by trickery, Thor dressed as Freya. Rather fart fetched. But then in many stories the goodies usually need a far fetched remedy (like the Redemption) to overcome the Baddies.
22: Myth (= explanation, science) -> action (prayer, magic, technology)
23 Writing -> discussion? Are not oral traditions 'discussed' by the creativity of the poets, suiting old stories to an audience, time and place.
How to we distinguish supernatural from natural? The Gods were a cybernetic model of the functioning of the world. Thor saved Freya <--> E = mc2.
24: "She understood that people have always felt the need to explain the processes of nature. Perhaps they could not live without such explanations. And that they made up all those myths in the time before there was anything called science" [Myths are fiction, but they do correspond to features of reality like thunder and lightning!]
[page 161]
Saturday 15 March 2003
...
32: The four elements are the foundation of a combinatorial theory of change.
33: Empedocles: Four elements and two forces. ...
36: Democritus increased the combinatorial alphabet to a set of atoms {atom}
The transfinite network is a version of atomic theory, starting with aleph(0) simple atoms [Turing machines] making aleph(1) complex atoms, aleph(2) complex complex atoms and so on.
38: Democritus postulated a [countable] infinity of different atoms, aleph 0.
...
[page 162]
...
54 'Man is the measure of all things' ie all knowledge is subjective. Natural vs socially induced.
...
58: 'The most subversive people are those who ask questions" ie highlight the openness of the system. ...
70: Plato Morals do not flow. Instead of absolute stillness and absolute mobility we have a spectrum of actions with different characteristic times from the age of the universe (in units of Planck's constant) to 1/age of universe. ...
Plato: reason. Aristotle: Reason plus senses.
[page 163]
91: Plato doubled the number of things by creating an invisible heaven of duplicates.
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Related sites:
Concordat Watch
Revealing Vatican attempts to propagate its religion by international treaty
