Smiling Dave,
You keep saying that Mises presented some sort of formal logical proof for why Bitcoin can’t possibly work, but I don’t see that anywhere in his writings, even where you purport to show it in your blog post (Bitcoin takes a Beating) with the passages you cite where Mises is explaining the theorem. What I see is Mises presenting a satisfactory explanation of the purchasing power of money (and the one that merely presented itself as the most obvious explanation, once the previously missing time element had been introduced). Nowhere is there a formal proof given by Mises that this satisfactory explanation is necessarily an exhaustive explanation: that there can’t possibly be another, or that the explanation given could not possibly be built upon or tweaked even slightly in order to provide a more accurate understanding. Now, he might assert this about his theorem in other passages – that ‘It must happen this way. Nobody can ever succeed in constructing a hypothetical case in which things were to occur in a different way’ (Human Action, 407) – but the theorem itself doesn’t actually logically show this. Obviously if we find passages written by Pythagoras himself which make the claim that his theorem also proves bananas are orange, it would be interesting to talk about, but ultimately any attempt to use those quotes to prove the same thing is an invalid appeal to authority. And note that I’m not saying Mises attempted to show it was exhaustive and failed. The attempt really wasn’t made; it was just enough that a satisfactory explanation existed.
Let me give you an analogy to illustrate my point. This is going to be a terrible analogy, I know, but it’s the only thing I can think of, so just try to stick with it. Let us say that some alien beings are watching Earth, and for whatever reason they can only see infinitesimal time slices of very small areas on Earth every now and again. They also don’t have any control over where and when they are able to see. Now, just by luck, I am witnessed to be in location A and five hours later I am witnessed to be in location B. Now, for the sake of argument, let’s just say that this is a big mystery to these aliens. The reality that these aliens exist in – which is some sort of alternate universe with differing laws of physics to ours – is just so radically different that they haven’t even figured out that humans can travel yet. Also there aren’t any other observations of this same phenomenon; it’s just pure luck that they once managed to spot the same person in two time slices. This mystery is a big overbearing question to the academics of the alien society, until one day a clever alien puts forth a satisfactory explanation that shows how I could be in two different locations in the two different time slices. Using a new computer model of a human he developed, complete with an accurate physical simulation of our universe, it is discovered that human beings are able to manipulate their legs to achieve self-propulsion! This finally provides a satisfactory explanation! It shows that I could have walked on my two legs, just like the computer model shows is possible, from location A to location B. Later it also demonstrated by another alien that I could have indeed made it from point A to B, using walking, just inside the five hour time window required. The evidence checks out! So now it’s completely boring, and no further thought or investigation is needed, because there’s no great mystery about it any more. But this is by no means a formal logical proof that I didn’t drive in my car from A to B that day, and then decide to hang out there for the next 4 hours. The aliens didn’t make an attempt to prove I didn’t use some other method of travelling, or even that I couldn’t possibly have used some other method. It’s merely enough that they found a satisfactory explanation – one that turned the great mystery into something that was finally explainable. Not necessarily explained, but finally explainable.
This is exactly what Mises did when he leads us through the logic of his regression theorem. In his day, everybody else was missing the time element from the equation, which is why they all thought that it was a futile exercise to even attempt to explain the purchasing power of a medium of exchange in terms of its purchasing power. It is an apparently circular argument. But Mises showed that it is not circular, by explaining today’s purchasing power in terms of yesterday’s, and by regressing back through time, day after day. But then he conceeds that this only raises another question of infinite regression. But then, of course, the most obvious explanation immediately jumps out and fills the gap to finally provide a satisfactory explanation: any non-monetary utility of the monetary commodity can most obviously be invoked to stop the regression. And so it was finally explainable, but nowhere does it actually show that the most obvious explanation is an exhaustive one. I’m not saying it’s wrong – just like it wasn’t wrong that I could possibly have walked from A to B – just that it’s not necessarily an exhaustive answer, purely by going from the logic of the regression theorem presented.
Just because Mises couldn’t think of another explanation – by using, say, the logic of network effects – or didn’t even attempt to think about another possible explanation now that a satisfactory explanation finally existed, it doesn’t therefore mean that another explanation cannot exist. For instance, I don’t see any reason – using just the logic of the regression theorem – for why small groups of people cannot take up a new medium of exchange for ideological reasons, and agree to use it amongst themselves. And then feasibly, due to network effects, it can grow because new people who wish to partake in trade with this economic circle have an incentive to get involved with the new medium of exchange. See, for example, the WIR currency, which seems to me to be almost identical to Bitcoin in a lot of ways, except of course in how Satoshi managed to achieve a decentralized peer-to-peer ledger. WIR just uses a centralized ledger operated by the WIR bank:
I’m sure you’ll say that even the WIR isn’t popular enough to prove anything, and you might be right. I’m not trying to claim it as some sort of solid emperical evidence. But going back to my ideological start + network effects reasoning, I just don’t see why that would be impossible, and I especially don’t think the regression theorem shows that it IS impossible. Maybe there is a possible proof for why it is impossible, I’m not opposed to one if it can be shown, but as I have said the regression theorem as presented only provides a default satisfactory explanation in order to connect all the dots, but not a proof that the default explanation provided is an exhaustive one.
It’s also interesting given the quotes from your blog, where Mises explains the regression theorem in Human Action, and comparing it to the explanation he gives in ToMC. It seems to me with his use of language that he had grown more confident and assertive about it, during the 37 years between, even though the pure argument itself is the exactly the same. I’ll quote the relevant parts from the two below, though I’ll leave out where he introduces the time element for brevity because that’s not really a relevant part. It’s the second question that’s raised after the time element is introduced that matters here: how the regression ends.
So perhaps he was in fact overstating his case. Remember that he had all the incentives to do so, given that he couldn’t possibly imagine any new forms of money arising to emprically challenge it. So it was very safe for him to overstate his case. And really, if he was slightly wrong by overstating his possible explanation as an exhaustive explanation, does that destroy the entirety of Austrian economics or something? You give me the impression that you think it would. I find your distain for Bitcoin interesting, given that I see legitimate disagreement here. It’s not like this is creationism vs evolution or something; it’s only a small nuance.
ToMC:
But this alone will not suffice to explain the problem of the element of continuity in the value of money; it only postpones the explanation. To trace back the value that money has today to that which it had yesterday, the value that it had yesterday to that which it had the day before, and so on, is to raise the question of what determined the value of money in the first place. Consideration of the origin of the use of money and of the particular components of its value that depend on its monetary function suggests an obvious answer to this question. The first value of money was clearly the value which the goods used as money possessed (thanks to their suitability for satisfying human wants in other ways) at the moment when they were first used as common media of exchange. When individuals began to acquire objects, not for consumption, but to be used as media of exchange, they valued them according to the objective exchange value with which the market already credited them by reason of their “industrial” usefulness, and only as an additional consideration on account of the possibility of using them as media of exchange.
Human Action:
But, say the critics, this is tantamount to merely pushing back the problem. For now one must still explain the determination of yesterday’s purchasing power. If one explains this in the same way by referring to the purchasing power of the day before yesterday and so on, one slips into a regressus in infinitum. This reasoning, they assert, is certainly not a complete and logically satisfactory solution of the problem involved. What these critics fail to see is that the regression does not go back endlessly. It reaches a point at which the explanation is completed and no further question remains unanswered. If we trace the purchasing power of money back step by step, we finally arrive at the point at which the service of the good concerned as a medium of exchange begins. At this point yesterday’s exchange value is exclusively determined by the nonmonetary – industrial – demand which is displayed only by those who want to use this good for other employments than that of a medium of exchange.
So comparing the two, you can see in the quote from Human Action, that athough he was making the exact same explanation, it was more strongly worded than in the other, by saying things like: ‘yesterday’s exchange value is exclusively determined by the nonmonetary – industrial – demand’ (emphasis mine). But again, the pure logic of it doesn’t actually show that this is the case I think. It just provides a default explanation (the most obvious one possible, non-monetary demand) which is merely enough to the connect dots – for it not to be an infinite regress anymore. I just don’t see why this does actually formally prove (which is such a strong term for this little explanation, let’s be honest) that this is an exhaustive explanation for how any possible medium of exchange can be bootstrapped in any possible case. It just doesn’t show that a commodity without a non-monetary demand cannot be used purposefully as a medium of trade amongst a small group, who ideologically want to use it for such purposes, and then have it grow from there with network effects.