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I'm not saying there's no difference between slaves and waged workers ...Yeah, it's important to emphasise the class difference between proletarians and slaves.
Respectfully, this is assuming the thing in question - where or not there *is* a class difference between proletarians and slaves. I'm arguing that "proletarian" (and working class, I use those synonymously) included waged workers and slaves. I'm not saying all slaves fit into this, I don't know enough about the history of slave, but I am saying that in the late 18th and in the 19th century US slaves were proletarians.
Workers own their own hands; slaves do not.
In v1 of Capital Marx discusses women and children workers, briefly, in the chapter on the working day or the chapter on machinery, or both. They don't own their labor and yet they still seem to count as members of the working class on Marx's description. (Marx is unclear on this point elsewhere, though.) From what you're saying, you seem to be saying those people were not members of the working class. I favor seeing slaves as part of the working class, and these women and children, but ultimately I don't have particularly strong feelings either way - we can define words however, really, as long as we're clear and consistent in the definitions. I do think that Marx doesn't use the term this way - women and children who work are still considered workers, it seems to me, in his descriptions, even though they don't have a legal right to their labor or their wages (the first earnings laws for women in the US start in the 1840s, I believe, and are mostly gutted by court cases soon after).
a worker can seek a different exploiter; a slave is the physical property of their owner.
Slaves could and did seek different owners, with some measure of success. A good book on this is The Chattel Principle, edited by Walter Johnson. And slaves were often rented out (the book on this is Divided Mastery) and sought, again with some measure of success, to shape who they were rented to.
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...but I don't think there's a difference between slaves and waged workers at the level of value production, in capitalism.I'm keen to hear some more discussion on this point - I don't know what the political consequences are, of agreeing or disagreeing with your opinion. I think Political Economy is a particular weak point of mine.
I wish I had more to say about the consequences, I'm not at all sure there are any beyond some issues of historical interpretation. A decent book tied to all this is Gavin Wright's Slavery and American Economic Development.
Put briefly, here's where I don't get the slaves vs workers distinction for the US, in terms of value production. Marx abbreviates the repeated circuit of capitalism this way:
M-C(lp)+C(mp)...P...C'-M'
Money (M) exchanged for two basic types of commodities, labor power (C(lp)) and means of production (C(mp) which are combined in production (P) to produce a new commodity (C') which is sold for more money (M') than the original money spent. The value of the difference between M and M' is surplus value. The only real source of this difference (in general, at the level of large averages or trends) is labor -- labor power produces goods for a value greater than the value required to purchase (and maintain) labor power. There are a whole lot of very important differences between waged and slave labor but in terms of this abbreviation, there aren't any. (Just as there are important differences between iron workers and carpenters, but there aren't at the level of very general discussions of surplus value production.) This formula is not time based - the waged worker makes a repeated sale of labor power (C(lp) or in the case of women and children in many times and places they get their labor power sold and someone else keeps the money; the slave is sold once and for all (which isn't really true either - slaves in the US were resold a lot, because the value of slaves quadrupled from 1808 to 1860, in part due to the end of slave importation). But as long as the slave produces more value over the course of his/her ownership than the owner paid including costs to maintain the slave (and that generally did happen, slave production was quote profitable), there's still a surplus here. So I don't see the difference here - there are differences but I don't see the differences as "slaves vs working class." (I'm defining "working class" as the the class of those whose labor power is sold and who produce value. I'm not wedded to that definition, it's just how I use the term, again I'm only sort of hung up on the terms, main thing for me is the slave labor produces value and slaves' labor power is sold and this is true also for waged workers.)



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Thanks for all the responses, but I feel that my question wasn't really answered. The issue of the "radical chains" seems to be the most important for Marx, and not that the proletariat is the first class to be able to found a society of abundance, so again my main question is why is the proletariat in "radical chains"? What does it mean?