Your definition of self is un-provable. Whereas my definition of a self is based on behaviors that are based on neurological processes that can be defined as a reward or punishment.
The use of "rewards" and "punishments" within psychology was part of the behaviourist program, which ended mainly in the 50s and 60s. It is anachronistic. Behaviourism (or behaviorism) treated the "mind" (including concepts) as a black box outside of scientific purview, and tried to understand how human cognitive systems worked by observing behaviors alone. This completely failed, and a combination of work, including that from the "fathers" of modern neural networks, Hodgkin and Huxley, but also Chomsky's
Syntactic Structures (and his review of Skinner's model of language),
G. A. Miller and even those from Tolman on who worked with actual rats developing "latent learning", all showed that this approach is utterly incapable of dealing even with understanding how rats behave. Something like
visual attention, a fundamental process used by all kinds of animals, is related to "memory" but not in any way that lends itself readily to things like "procedural" or "implicit" memory versus "semantic" or "declarative" or whatever.
In order to use "rewards" and "punishments" to understand a system, whether it is a rat, a dog, or a human, which are capable of processing
concepts, not just avoiding noxious stimuli and "seek" things like "food", this dichotomy doesn't work. It doesn't work because it uses concepts and applies them to things like dogs which can't understand what the concepts are. They can seek out goals, or avoid things like predators, but so can bee hives and plants (plants can display an impressive range of defense mechanisms, seeking behavior like bending towards sunlight, etc.),
Moreover, you don't "prove" that a definition for something like "self-awareness" is correct. Proof is for mathematics. The reason terms become adopted within the psychological/cognitive sciences, such as "attention", or become increasingly abandonded, such as "long term memory", is because these are models which we use to try to explain how the human mind works. I can define self as the ability to type sentences on a keyboard, in terms of whether or not something has a cortex, and this is a very "provable" (i.e., testable) definition. It's just useless.
Perhaps the central debate within fields concerned with things like learning and memory is to what extent we use areas of the brain and our sensory systems associated with them to construct, encode, process, etc., concepts. Many cognitive scientists belive that
all concepts are "embodied" and that even abstractions such as "hope" are fundamentally related to regions of the brain which are known to relate to vision, hearing, movement, touch, etc. These scientists point to the activation of sensorimotor brain regions during experimental studies with functional neuroimaging devices (e.g., fMRI) when subjects recall, or read, or otherwise react to abstract words (written or spoken). They also point to response timing in behavioral studies which demonstrate that humans associate abstract concepts like "hope" with direction (and "despair" with the opposite direction). Language itself is filled with evidence for this theory.
However, it is fundamentally at odds with the standard classification of memory "types", but as most of these have no support anyway, and are largely relics used increasingly only for instructional purposes, nobody cares. They people who apose "embodied cognition" do so because they approach the brain in terms of modules, which is also fundamentally at odds with the classification of memory "types".
We can clearly state if an animal is feeling pain, or is not feeling pain, we can look at the brains of animals and find a limbic system and see firing sequences that respond to threats or rewards, For you to argue otherwise is ludicrous!
Have you ever constructed, run, or analyzed the data from a neuroimaging study? Or even read a neuroimaging study? Or, to put it differently, what is your basis for arguing what we can and cannot show in terms of "firing sequence"? Apart from anything else
1) Nobody knows how the brain uses individual neurons, if at all, and their "firing sequences", to do or understand anything. We do know that most complex behaviors and thoughts have nothing to do with information in "firing sequences" but the correlations and synchronization among multiple neurons. When this happens, an individual neural "firing sequence" has no meaning, and as it happens all the time, tryng to understand much of anything by understanding "firing sequences" is not going to get you anywhere.
2) In order to test whether or not an animal is feeling "pain" or is seeking a "goal" we'd have to formally define what these are and how they can be recognized by activation in particular regions. However, while pain can be measured without involving the brain at all (it's detected by nerves, after all), "goals" are much harder. When my dog hears the word "food", regions related to "goal" and "goal seeking behavior" will activate. But the sound is not the goal. The goal (the actual neural representation of the dog's concept of food) is a complex pattern of neural activity located in different regions in ways which are constantly changing. It is not at all easy to tell what is a goal using neuroimaging.
And finally, even if we
could develop some empirically sound method of testing whether or not an animal understood something as a "goal" or "punishment", how does this mean they have a sense of "self"? As I said, I can easily formulate testable definitions of self. But if they are useless to understand either dogs or humans, or anything, then there is no point in doing so. And as I said, everything from plants and cells to swarms and colonies of things like ants or bees can exhibit "goal-directed" or "avoidence" behavior.
To the degree of self awareness between a frog and a bird from my definition of self is the degree of complexity of the neurological system.
Which you cannot test using goals, or even define in the first place in order to test using goals.
You have NO SUCH ABILITY to assess these kind of notions with your anthropocentric definitions that are un-provable. At least with my approach I can begin to architect a solution.
Your ability to use your approach depends on how much what you say about both neurophysiology and our methods to understand neurophysiological properties in terms of behaviors and concepts and so forth. But the ways ways in which you describe how one might implement your approach are at odds with how actual neuroscientists and psychologists use neuroimaging and our current understanding of functional neuroanatomy.