I have a question about the nature of generalization and abstraction. Human reasoning is commonly split up into two categories: deductive and inductive reasoning. Are all instances of generalization examples of inductive reasoning? If so, does this mean that if you have a deep enough understanding of inductive reasoning, you broadly create "better" abstractions?
For example, generalizing the integers to the rationals satisfies a couple of things: the theoretical need to remove previous restrictions on the operations of subtraction and division, and AFAIK the practical need of representing measurable quantities. This generalization doesn't seem to fit into the examples given here http://en.wikipedia.org/wiki/Inductive_reasoning at first glance, and I was hoping someone could give me some nuggets of insight about this. Or, can someone point out what the evidence is that leads to this inductive conclusion/generalization?
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So there's a MIRIxMountain View, but is it redundant to have a MIRIxEastBay/SF? It seems like the label MIRIx is content to be bestowed upon even low key research efforts, and considering the hacker culture/rationality communities there may be interest in this.