Summary: The hard core of "habituation", rigorously. Summary: Two random mappings in succession do not give a random mapping. Nor one used twice, similarly. Mapping composition of random mapping Random mappings
Summary: How two functions f and g must be related if they transmit the value x independently of the value of y. [DIAGRAM] Summary: Some "geniuses" are just the people who happen to be right. 6570 Genius
Summary: A practical way of getting fairly long trajectories with all ending in states of equilibrium.
6485 says joins need not be invariant in time. Homeostat Grodins' book Servo-mechanism biological
Summary: In the system that is not richly joined, the cylindrance of the set of initial and
terminal states tends to increase exponentially with time. 6485, 6549
Summary: If every unit has only k inputs, but may move the k around over all the variables, the cylindrance in the 2n-space X'x X is restricted to k + 1. 6493
Summary: If the inputs are changed infinitely fast, the restriction on cylindrance holds, but
no trajectory can be found. 6491
6488
6489
Summary: Simpler proof that seeing k keeps cylindrance, in the 2n space, down to k.
Summary: If the distinction between two values of a variable is lost (and the relation re-formed
by union, i.e. + and 0 counts as +), then cylindrance may increase. 6504
Summary: When they are cylindrance-one sets, composition does not raise the cylindrance. 6519 Summary: Combining sets to form their product does not raise cylindrance. 6824 Cylindrance composition and
Summary: Composition (or elimination) will not raise cylindrance unless the implied projection
raises it. And a proof that projection can raise it. 6826 Cylindrance composition and
6522
6523
Summary: Section will not raise cylindrance unless the implied projection raises it. And a proof that section can raise it. Cylindrance section and
6524
6525
Summary: Proof of: As base, so cylinder. Better: 6825 Example of 6494
Summary: There is no obvious relation between cylindrance and stability. Cylindrance and stability Stability and cylindrance
6530
6531
1965
Summary: Example showing how projection may jump the cylindrance up from 2 to any given number.
Another example 6829 Summary: The theory of the determinate dynamic system leads naturally to set theory and cylindrance. Cylindrance and determinate system Dynamic system determinate and cylindrance
Summary: p-dimensional projections may not be allowed arbitrarily (if n>2)
6558
6559
Summary: A relation can always be found that has projections including, or not including, in
arbitrary fashion, those of a given point.
6560
6561
Summary: The idea of a system reporting on its own behaviour is better replaced by some much
simpler equivalent. Self-describing system can be reformulated in simpler form
Summary: Analyses of data or relations (Fourier, of variance, into partial correlations, etc)
are of use only if the first few terms collect all that is significant. 6615
6576
6577
Summary: Transforming sets of low cylindrance to a "simpler form". 6679 Cylindrance using low cylindrance
Summary: Anticipation forced on the "pin-table". 6594
Summary: Though the designer of an anticipator must look at it in detail, its demonstration
demands a great and deliberate reduction in the quantity of information emitted. 6596
6590
6591
Summary: "I", in a dream, is not necessarily the site of intellectual activity. Archer dream of Dream and "self" Self-awareness impossible
Summary: Parts isolated (with an experimenter) and parts in a whole (with other parts as disturbers)
are not directly comparable. Organisation and parts Part and whole, independent