Philosophics
I've refined the maths for my Transductive Subjectivity thesis, if you're into that sort of thing. Whilst the simple model works, the advanced model tells the story in more detail, where the slices of episodic self emerge to future slices by being acted on and transduced by the current self (Si), relative forces (Ri), and the update rule (Fi). More detail on the blog.
https://philosophics.blog/2025/12/03/refining-transductive-subjectivity/?utm_source=x&utm_medium=social
#philosophy #psychology #maths #agency #identity #self #models #language #blog
Dec 3 at 5:26amWeb
Show threadThomasDec 3
@microglyphics now, that's a Rosennean complex system.
Show threadPhilosophicsDec 3
@tg9541 Sure, I notice that it maps loosely onto an M-R-system, but that’s because both frameworks are trying to describe systems where the transformation rules are endogenous and self-modifying. My interest is metaphysical and phenomenological, not biological modelling. The resemblance is analogical, not derivative. We're basically just adopting similar maths.
Show threadPhilosophicsDec 3

@tg9541 Ran out of space…

I might say in Rosen's language that:
Sᵢ is the current organisational state
Fᵢ is the system’s internal 'model' or transformation schema
Rᵢ is the environmental constraint-field
T is the metabolism/repair dynamic (“M-R system”)

The difference lies in the meta-details.

Show threadThomasDec 3

@microglyphics that's not a well trodden path, that's the hard one that #RobertRosen traveled on.

The Rosen never tired to explain what mathematical modelling really is, and explained how certain such methods can be used to model agents, not just mechanisms.

An approachable introduction to modeling agents is Rosen's book Anticipatory Systems (AS). He introduced the mathematical instruments more formally in Fundamentals of Measurement (FM). Second approachable attempt is in Life Itself (LI).

Show threadPhilosophicsDec 3

@tg9541 Honestly, I am using the maths as a metaphor to augment my exposition. Sometimes a picture (even an equation) is worth a 1,000 words.

Plus, it helps me to work through it mentally, as I used to be a statistician, so it's sometimes comfortable to think in symbolic representation, which explains why it has evolve in the past few days.

Show threadThomasDec 3
@microglyphics I appreciate the metaphorical usage of math - Rosen also did that but he was mathematician, and he worked in the modelling culture of math, not statistics. Statistical models are much more pragmatic than mathematical models of mathematical models of nature (and there is at least one level up of methodological models of models of models of nature ;-) ). That's very hard to communicate as a philosophical system.