- Memories are hierarchical.
- Recognition is a multi-stage, temporal process.
- Brains are naturally amenable to grammar like organization.
Thus, if memories are hierarchical, then a larger brain means more categories and deeper hierarchies. If recognition is multi-stage, then a bigger brain can mean more stages and a finer distinction between otherwise identical items. If brains and thought uses a grammar like structure, then a larger brain could mean a more elaborate grammar.
I find the notion of the "scavenger hunt" model for memory especially interesting. While that approach seems especially strange, it does dovetail nicely with the associative nature of the brain: each "step" in a memory is an association. Each association can be reused in different memories because they have a certain "momentum:" a memory is the sum of what came before plus the next association.
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