Mike:
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When they say "quality" in this context, they mean anything observed that depends on something else observed, but in a strongly nonlinear way. You could add heat 1.0000 x to the wick of dynamite, and nothing unusual happens, but when you add heat 1.0001 x to the wick, a building falls down. There is some resulting event whose magnitude is considerably out of proportion to the change in a variable that triggered it.
1) Who is 'they' here?
2) And this cannot work:
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they mean anything observed that depends on something else observed,
This is far too vague. "Anything observed that depends on something else observed"? What items of observation does that rule out? If an astronomer looks through her telescope, and judges the distance between two distant (observed) stars as 10 light years, is this one of these 'qualities'?
If so, the relational properties of bodies (such as size, distance, hardness, velocity, etc.) must be included as 'qualities' too. And if that is so, countless things can change 'qualitatively' with no addition of matter or energy.
For example, take three animals in a row: a mouse, a cat and a horse. In relation to the mouse the cat is large, but in relation to the horse it is small. Change in 'quality' with no change in quantity.
And your characterisation (you can't call it a definition since it picks out far too many things you will want to exclude) of 'quality' will adversely affect the examples you gave earlier.
For instance, warm water can often become hot water slowly (and we can count the two states as part of the "anything observed that depends on something else observed"), when heat is added. No sudden change of 'quality' here. There are countless other examples:
These include the following: melting or solidifying plastic, metal, rock, sulphur, tar, toffee, sugar, chocolate, wax, butter, cheese, and glass. As these are heated or cooled, they gradually change (from liquid to solid, or vice versa). There isn't even a "nodal point" with respect to balding heads! In fact, it is difficult to think of many state of matter transformations (from solid to liquid (or vice versa)) that exhibit just such "nodal points" -- and these include the transition from ice to water (and arguably also the condensation of steam). Even the albumen of fried or boiled eggs changes slowly (but non-"nodally") from clear to opaque white while they are being cooked.
Moreover, a slow vehicle can speed up gradually until it is travelling quickly; light can change form bright to dull slowly; sound can change from loud to quiet slowly, and so on.
That is why Hegel opted for Aristotle's understanding of 'quality' (quoted earlier); it gave him what he thought was a water-tight definition -- which he then proceeded to forget, since it does not apply to his example of boiling or freezing water.
Hence, there is no definition' of 'quality' that will work in all cases. So, this can't be a 'law'.
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Many break-point relationships like are found in nature. Engels believed that the same principle operates in human history, for example, in the way that economic development reaches a moment when there is a change between capitalism being the best promoter of social progress to capitalism being the worst obstacle to social progress, or the change from having no prospects for a revolution to the imminence of revolution.
But, if there are many things in nature an society that do not change suddenly, then Engels's 'law' cannot safely be applied to social revolution, since, for all we know, some of these could be examples of gradual change.
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Engels didn't offer an explanation why an observation about natural forces might apply to human history, therefore his discussion never goes beyond making the analogy, without demonstration of a mechanism. His "dialectics" as described in his book 'Dialectics of Nature' is a compilation of analogies between nature and society, and the claim that the same "laws" operates in both.
Yes, we know that, but Engels got it all wrong (or, rather, his 'law' was so vaguely worded, it is impossible to determine what he in fact meant), as I have shown.
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I believe that social science won't become an exact science until one day in the future when we may have a complete neurological model of the human mind. Until then, all supposed explanation of sociological events is mainly a lot of analogies and correlations, but very little mechanism. I expect that Engels might have had a good point regarding quantity and quality, but so far no one can demonstrate a mechanism that could account for it.
His "interpenetration of opposites" is another analogy from nature to history. Nature exhibits movement and change caused by gradients (Fick's law of diffusion, Ohm's law for currents, Carnot's and Clausius' second law of thermodynamics, etc.). As they say in systems theory, "across variables" cause "through variables." Engels believed that there is a connection between this fact and social movement and change caused by technology potential and economic class gradients. Here too, Engels didn't suggest any mechanism which could account for such natural forces to have a connection to historical events. He asserted an analogy and stopped there.
But, the second 'law' (the interpenetration of opposites), if true, would make all change impossible:
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http://www.revleft.com/vb/showpost.p...0&postcount=76
Argument:
http://www.revleft.com/vb/showpost.p...1&postcount=77