A Theory of Learning and Memory, by Edmund Furse
Edmund Furse writes about trying to understand learning and memory, particularly of the mathematical variety.#
The problem with human learning, is that so much that we learn is in terms of what we already know. This makes obvious sense. For example, we learn that Paris is the capital of France, but could not really learn this if we did not have some previous idea of what a capital city was, or a country. This, so called learning of facts, is known by psychologists as "declarative learning" to distinguish it from "procedural learning", a distinction made by amongst others the American Cognitive Psychologist, John Anderson.
Anderson built a large model of human learning, memory and problem solving known as ACT (Adaptive Character of Thought), and it has had many different versions. But, he models the way we improve our learning, and do tasks faster, namely how the things we know become proceduralised. For example, when you first learn someone's telephone number, you dial it very deliberatively, one digit at a time. But with practice, this gets faster, until the skill is completely automatic (automatized is the technical term), and then when you think of the name, you can immediately recall the number and dial it.
Defining things based on past experience leads to a very interesting problem...
The difficult problem in trying to understand the nature of the learning of facts, is how can one possibly learn something new? This is a very old problem going back to the Greeks. Meno's paradox, the 'learning paradox' derives from the ancient Greek sophists who argued that truly novel learning was impossible in that "novel knowledge cannot be derived completely from old knowledge, or it would not be new. Yet the transcending part of it cannot be completely new either, for then it could never be understood."
Also, many smart people seem to acknowledge this when they talk of trying to find the right metaphor to describe what something does or what a particularly situation is like. Many times we look at something and it seems unfamiliar but if someone can impress a particularly model of it on it seems to merge with the rest of your second natures.
So the problem that many AI programs have is that they imbue a few core concepts to the memory system and that drastically restricts what is able to emerge. Furse has a better solution though...
This model of learning and memory, the Contextual Memory System, (CMS), starts with no features and no items in memory. It thus starts as a complete tabula rasa. However, it does have built in perceptual MECHANISMS which given an object in the outside world, it can build very large numbers of features of the object. Thus, the ACTUAL features that are built are purely a function of the objects that the agent encounters in the world. If the agent spends a lot of time looking at birds and rabbits, then he will naturally acquire many features relevant to birds and rabbits. In contrast, if he spends his time studying the business news, then he will build many financial features.
So, you get the question of whether when human minds are born, are they completely blank slates or do we inherent a bit of classification? This model suggests that we don't.
The article then talks about the progress that Furse has made with systems to understand mathematics.
The conclusion!
Learning is vital to understanding the human condition. Freud believed that dreams were the royal road to understanding the unconscious. Furse argues that understanding the nature of human learning is the new scientific road to the understanding of the mind. This understanding will, in time, encompass a broad range of human experience, from the mundane to the sublime.