- j.a. wheeler

. . .

. .

.

operative term in wheeler's prescription

is "build".. . for the concept

of "information" is

open

.

bit

is only

as good as

the yes/no question

whose answer it represents

and shannon's theory can't say which

.

consider the information content of the

human iris: ~3.22 bits/mm^2

according to

.

john daugman

pattern recognition, 2003

. .

. .

sandia labs 1996 . ~20k irises . no false+

british telecom labs 1997 . ~223k irises . no false+

sensar corp 2000 . ~500k irises . no false+

joh.enschede 2000 . ~20k irises . no false+

eyeticket 2001 . ~300k irises . no false+

nat physics lab uk 2001 . 2.73m irises . no false+

j daugman 2003, 9.1m irises . no false+

iridian technologies 2003 . 984m irises . no false+

.

iris recognition works because

iris patterns are invariant

throughout a person's

lifespan

.

outstanding

but hides that

3.22 bits per sq mm

is not an intrinsic property

of [the distribution of] iris patterns

but a joint property of the interaction of iris,

measurement protocol, eg selected optical spectrum

and daugman's specific wavelet encoding & related processing

. .

"information content" of messages only makes sense in context

that context, far-from-eq, supplies the mappings

relating the measure spaces

to semantics

else:

.

. .

.

previous attempts to solve end-to-end artificial intelligence problems

have failed in one of two ways:

some oversimplified the problems to the point that

solutions did not transfer to real world

others ran into a wall of engineering complexity

too many things to put together

too many interactions

too many bugs

to do better we need

a new mathematical language for a.i.

at the least we need a language that combines

logic and probability

.

in math, we need to average over many similar objects

thus if we have too few objects, we cannot perform the averaging

if we have too many objects, non-standard behavior

which rarely occurs could be washed away

.

the old hope of bourbaki

to see mathematical structures arise naturally

from a hierarchy of sets, from their subsets

and from their combination, is doubtless

only an illusion

.

independence

is a dynamic notion

one may find 2 events independent

at some point, but then find them dependent

after obtaining some evidence

.

either math is

too big for the human mind

or the mind is more than a machine