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Yes, this may be true, but then, it is about something other than economics, isn’t it? Economics is about what people do, not what mathematical systems do. The mathematical models may point out a way to look at things is true.
We're just talking about the reasoning process behind economic beliefs.
The only difference between deductive verbal reasoning and mathematical logic is the notation. There's nothing inherently more human or economicsy about the preferred approach of Austrians. I think they're approach has its merits, but that's not one of them.
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Perhaps there is one difference. The variables in mathematical reasoning represent only one, pure class of things, whereas verbal reasoning may have something less pure with more that one case or class as one of the bases of the reasoning.
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You might be onto something. Mathematical reasoning is not superior to verbal reasoning. The mathematical approach may be more pure and rigorous, but it also leaves out a lot of the nuances of human behavior. Mainstream economists tend to over-elevate the claims of mathematical models.
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This is why I say these modelling results should be used to hint at results that can be developed more rigorously.
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Again, this may cause a lot of circular reasoning, like The ScienceTM does in service to its paymasters.
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In my thinking, the nuances are also very important for understanding human actions and trying to imposing rigid rules of mathematics on them is fruitless.
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This whole discussion started because you didn't like the idea of dividing laborers into two classes.
Generally speaking, it's quite common to have heterogeneous goods in models.
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No, I think there are a lot more than just two classes! I also understand that there are models containing heterogeneous goods, hopefully a lot of different goods! People coming n two classes is too simplistic, IMO.
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Everyone knows there are more than two types. The point of using simplifications, which Austrians do too, is to parse out where certain results come from: i.e. there only need to be two types of worker for some observed phenomenon to occur.
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Could it be oversimplification due to the constraints of mathematical modeling? Because everybody does know that there are more than two types of workers, soon to be supplemented by non-carbon based workers.