[Fis] FW: New Year Lecture. Logic of Recursive Transductions

[Loet Leydesdorff]

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>At this point, I feel I need a ‘refresher’ on Loet Leydesdorff’s 
>important distinction, with reference to information, between recursion 
>and incursion. Loet?
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>When one thinks outside the box, as Bob U. will have us do, the air may 
>seem a little thin, for a while. However, one can soon get 
>acclimatized, with some good will.
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>Cheers,
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>Joseph
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Dear Joseph,

I am not sure, but I guess that the recursive transductions assume a 
forward arrow of time: the previous state (at t-1) is "transduced" into 
a next one (at t = t).

An incursive system provides also a reference to its current state. For 
example, a new technology is shaped with reference to the previous one, 
but also with reference to a current market as the relevant selection 
environment. A hyperincursive system develops with reference to its next 
future state (t + 1) or even beyond that (t + n).

For example, meaning -- in interpersonal communications -- is provided 
from the perspective of hindsight in the present, but with reference to 
horizons of meaning. This reference to possible future states provides 
the intentionality that is specific for interhuman communication. The 
logic thus is different from a biological system developing with the 
arrow of time (in history).

Another terminology would be that of trajectories and regimes. 
Trajectories are shaped with time; for example, along life-cycles. 
Regimes (e.g., life vs. death) are next-order selection mechanisms which 
shape the conditions for trajectories. This is still at the level of 
general systems theory. In interhuman communication specifically, the 
order remains an order of expectations which feeds back onto the present 
state from future (possible) states. This inversion of time leads to the 
generation of redundancy as different from the (Shannon-type) 
information. It provides new options.

Hopefully, I answered your question.

Best,
Loet
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