Volume 23 of W. Ross Ashby's Journal
links, random page links, the jump-to-any-page, jump-to-any-volume boxes, and much
more. It will annoy you...
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
Anticipation how fast?
Summary: The unit that develops anticipation must be tiny.
Summary: Every faculty is good or bad according to the environment.
Summary: The number of circuits traceable round n fully joint parts increases as (approx). |n 6426
Atom simplest functional Neuron simplest possible Unit simplest
Summary: The theoretical unit is simply a mixer.
Summary: To build any machine, only a mixer is sufficient.
Summary: The Pitts-McCulloch neuron from my atom.
Summary: Stability of a mixed net of Ashby atoms.
Summary: Some peculiarities of the "self" relationship.
Summary: Some problems become non-trivial only when much detailed specification is added.
Summary: Shannon to Sommerhoff.
Regulation differential equation expressing
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: Review of Waddington's "Nature of life".
Summary: Algebraic form of "the behaviour doesn't depend on variables Z". Independence algebraic form
Summary: A memory of a pattern does not have to be stored anywhere.
Anticipation achieved on cards Order of magnitude
Summary: Much in "Computers and Thought" is relevant to cylindrance. Organisation new properties
Cylindrance increase with time Dynamic system cylindrance rises
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
Summary: "Interaction" corresponds to the last elements removed as C shrinks to R p-1 R.
Cylindrance and adaptation Cylindrance of machine with input
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
Cylindrance algorithm for finding
Summary: Effect on cylindrance of adding new values to variables (values that did not occur
before in R)
Cylindrance removal of plane
Summary: Effect on cylindrance of an equivalence relation when the sections combine by intersection.
Summary: If only g variables vary, the cylindrance cannot exceed g. 6509 (foot)
Summary: Rigorous proof that a set with t points cannot exceed t in cylindrance.
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
Cylindrance composition and
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
Summary: Section will not raise cylindrance unless the implied projection raises it. And a proof that section can raise it. Cylindrance section and
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: Goodwin's results are magnificent, and rigorous; but dangerously specialised.
Summary: Learning by pleasure is sophisticated. Learning pleasure versus pain Pain simpler than pleasure
Summary: Almost all the operations used in proving theorems do not raise cylindrance. Cylindrance of a theorem Theorem proving, and cylindrance
Summary: Extracts from Huxley. Projection not independent
Summary: p-dimensional projections may not be allowed arbitrarily (if n>2)
Summary: A relation can always be found that has projections including, or not including, in
arbitrary fashion, those of a given point.
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: Every subset (of a product set) implies a quantity of internal transmission of information.
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
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
Summary: At first, ignore the internal relations between stimuli. 6727, 6767
Summary: Some items that must be dealt with in an adequate theory of the Conditioned Response
Cylindrance and reducibility
Summary: To be able to compute a function by a few variables at a time is a (non-trivial) restriction. Information in continuous waveform
Summary: Information in a continuous waveform.
Memory without record
Summary: What wholly new features come in with more dimensions?
Summary: Every system with feedback is equivalent to a chain of systems without feedback. Feedback equivalent net without
Summary: How children recognise patterns.
Summary: A usable approximation.
Interaction in machine
Summary: Total constraint over trajections analysed in the state-determined machine. 6772
Summary: Only when the higher order interactions (of the types specified) are zero can the
qualities of the DIE be used additively.
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
Transmission how many?
Summary: Ways of analysing a total transmission are so many that the worker must be guided
by outside reasons. 6678, 6721
These images are reproduced courtesy of The Estate of W. Ross Ashby. Copyright 1972,
2008 © The Estate of W. Ross Ashby