vol 7: Notes
2002
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... to restore theology to the mainstream of science
[Notebook Turkey, DB 55]
[Sunday 24 february 2002 - Saturday 2 March 2002]
[page 57]
Sunday 24 February 2002
Monday 25 February 2002
Bayram
Erwin Kreyszig: Introductory Functional Analysis with Applications. Kreyszig.
COMMUNICATION -> UNIFICATION (OMISSION OF UNNECESSARY DETAILS = ABSTRACTION)
1. Space: set of elements obeying certain axioms.
change axioms <-> change space
[page 58]
2. Metric yields distance between two points. Defined axiomatically.
3. Axioms are abstracted from experience; they are an abstract model of the entity in question. Model is a relative term.
Definition of metric space:
defined on X x X.
1. metric is real valued, finite and non negative.
2. d(x, y) = 0 iff x = y.
3. d(x, y) = d(y, x).
4. d(x, y) =< d(x, z) + d(z, y) (triangle inequality).
Religion is very much in the news these days and we see that some things are rotten in the theocratic state. To prove that the universe is divine we devise the biggest possible model and see if the universe fits it.
Article by disappointed theology student seeking an appointment. It is done in the spirit of modern marketing, you've got to sell yourself if you want to get good value for yourself. And once sold, one wants a watertight and equitable agreement on the values that are being exchanged.
Also, since our universities are beginning to be seen as utilitarian businesses I must sell myself to a university not just as a person with some ideas that deserve testing for their potential social benefit, but as a profit centre ie productive of literature, attractive to students, and thereby maximizing its income and potential for growth and power.
...
Pneumatology: = pure mathematics = the structure of angels. Every angel is a different Turing machine (Thomas Aquinas: every angel is a different species). Pneumatology described noetic space. Every theorem is a wormhole in noetic space, identifying two sets of points by uniting the properties of these two sets of points: thus the sum of the squares ...
ON INDIVIDUALITY: Every point in the universe is a different species. This is the complexity of god.
The execution of theoretical structures is carried out by functions, and the theory of functions (isomorphic to quantum mechanics) tells us what functions can and cannot do. Basically this theory must be developed by producing constructive or non-constructive computing machines. See Turing's classification at the beginning of 1937. Turing.
Each peer level chooses certain stable features (functions) of the layer below it as an alphabet of operations to build the processes it wants to apply.
Innate ideas (structures) are symmetries between an organism and its environment, developed through the tree of descent (adaptation).
Tuesday 26 February 2002
Wednesday 27 February 2002
Thursday 28 February 2002
Friday 1 March 2002
Saturday 2 March 2002
Books
| Kreyszig, Erwin, Introductory Functional Analysis with Applications, John Wiley and Sons 1989 Amazon: 'Kreyszig's "Introductory Functional Analysis with Applications", provides a great introduction to topics in real and functional analysis. This book is part of the Wiley Classics Library and is extremely well written, with plenty of examples to illustrate important concepts. It can provide you with a solid base in these subjects, before one takes on the likes of Rudin and Royden. I had purchased a copy of this book, when I was taking a graduate course on real analysis and can only strongly recommend it to anyone else.' Krishnan S. Kartik Amazon back |
Papers
| Turing, Alan, "On Computable Numbers, with an application to the Entscheidungsproblem", Proceedings of the London Mathematical Society, 2, 42, 12 November 1937, page 230-265. 'The "computable" numbers maybe described briefly as the real numbers whose expressions as a decimal are calculable by finite means. Although the subject of this paper is ostensibly the computable numbers, it is almost as easy to define and investigate computable functions of an integrable variable or a real or computable variable, computable predicates and so forth. The fundamental problems involved are, however, the same in each case, and I have chosen the computable numbers for explicit treatment as involving the least cumbrous technique. I hope shortly to give an account of the rewlations of the computable numbers, functions and so forth to one another. This will include a development of the theory of functions of a real variable expressed in terms of computable numbers. According to my definition, a number is computable if its decimal can be written down by a machine'. back |
Click on an "Amazon" link in the booklist at the foot of the page to buy the book, see more details or search for similar items
Related sites:
Concordat Watch
Revealing Vatican attempts to propagate its religion by international treaty
