On 17 Jan 2013, at 16:16, Roger Clough wrote:
Hi Bruno Marchal
The self-reference to phenomenol perception shows up
in the monad for an object, which is always from that
monad's pov.
OK.
In the sense that I can interpret this in purely arithmetical terms.
The convolution operator is just a conjecture, since it
appears in systems theory and signal processing:
http://en.wikipedia.org/wiki/Convolution
"In mathematics and, in particular, functional analysis, convolution
is a mathematical operation on two functions
f and g, producing a third function that is typically viewed as a
modified version of one of the original functions,
giving the area overlap between the two functions as a function of
the amount that one of the original functions is
translated. Convolution is similar to cross-correlation. It has
applications that include probability, statistics, c
omputer vision, image and signal processing, electrical engineering,
and differential equations. "
Hmm... OK. I was hoping about a more precise link between your monads,
and convolution. I do think that Fourier transform, wavelets,
convolution play some role in perception, perhaps in consciousness.
They do play a role in the apparent matter (position and impulsion are
basically Fourier transforms of each other, as all complementary
observable).
Bruno
http://iridia.ulb.ac.be/~marchal/
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