Functors are a brains best friend. [An interesting conversation on brains, categories and analogy-making.] https://facebook/juancarloskuri/posts/10152485528613161 Its interesting how brains hierarchically compress, abstract, match, and extrapolate known parts to predict the behavior of unknown wholes. LikeLike · · Share · @jckuri on Twitter Kingu Tiamat Functors are a brains best friend. 25 mins · Unlike · 1 Juan Carlos Kuri Pinto Do you see functors in my phrase? 24 mins · Like · 1 Kingu Tiamat extrapolating known parts to predict behavior in unknown wholes basically analogy making between categories. Hofstadters EGB gave me the impression that analogy making is deeply connected to Isomorphisms. 18 mins · Unlike · 1 Kingu Tiamat (Re: The first part hierarchically compress, abstract, hierarchical compression IS what abstraction is.) 16 mins · Unlike · 1 Juan Carlos Kuri Pinto I fully agree. Hofstadters new book on analogy-making is even better than GEB: amazon/Surface.../dp/B00BE65086/ref=sr_1_1... Surfaces and Essences: Analogy as the Fuel and Fire of Thinking Is there one central mechanism upon which all human... AMAZON.COM 12 mins · Like · 1 · Remove Preview Kingu Tiamat You could almost represent the above statement you made as a Cartesian diagram. Up = Abstraction (or generalization) , Down = Expansion (Instantiation) , Left and Right are translations (Maybe where Isomorphic functors exist between categories of ideas) 6 mins · Edited · Unlike · 1 Kingu Tiamat I havent read Surfaces and Essences yet. Ill put it in the queue. 12 mins · Unlike · 1 Juan Carlos Kuri Pinto I havent read GEB yet. But I think Surfaces and Essences is better than GEB. 11 mins · Like · 1 Juan Carlos Kuri Pinto When it comes to directions in the cortical hierarchy: UP = Abstractions DOWN = Predictions SIDEWAYS = Mappings 2 mins · Edited · Like · 1
Posted on: Mon, 10 Nov 2014 04:29:35 +0000
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