Paul Sweezy addressed the subject in The Theory of Capitalist Development, chapter one 
section one "The Use of Abstraction." I will try to summarize some of his points (my 
comments in brackets):

"Marx was a strong adherent of the abstract-deductive method which was such a marked 
characteristic of the Ricardian school... Marx believed in and practiced what modern 
theorists have called the method of 'successive approximations,' which consists in 
moving from the more abstract to the more concrete in a step-by-step fashion, removing 
simplifying assumptions at successive stages of the investigation so that theory may 
take account of and explain an ever wider range of actual phenomena."

[Marx diverted from classical economists in how it is applied.] "First, one must 
somehow decide what to abstract from and what not to abstract from. Two issues arise 
here. First, what problem is being investigated? Second, what are the essential 
elements of the problem?... Even after the investigator's task has been determined, 
however, there is still no sovereign formula to guide his footsteps. As Hegel very 
correctly remarked in the introduction to his Philosophy of History: in the 'process 
of scientific understanding, it is of importance that the essential should be 
distinguished and brought into relief in contrast with the so-called non-essential. 
But in order to render this possible we must know what is essential...' To bring the 
essential into relief and to make possible its analysis: that is the specific task of 
abstraction."

[Marx believed that class conflict should be the center of investigation] "the power 
of abstraction must be employed to isolate it [class conflict], to reduce it to its 
purest form, to enable it to be subjected to the most painstaking analysis, free of 
all unrelated disturbances. This involves two steps. First, all social relations 
except that between capital and labor must be provisionally assumed away, to be 
reintroduced... at a later stage. Second, the capital-labor relation itself must be 
reduced to its most significant form or forms... Almost the entire remainder of the 
first volume of Capital is devoted to the capital-labor relation in its 'isolated' and 
'purified' forms. In other words, Volume 1 begins and remains on a high level of 
abstraction."

"... It follows that the tendencies or laws enunciated in Volume 1 are not to be 
interpreted as direct predictions about the future. Their validity is relative to the 
level of abstraction on which they are derived and to the extent of the modifications 
which they must undergo when the analysis is brought to a more concrete level. 
Recognition of this fact would have saved a great deal of sterile controversy. As an 
example we may cite the famous 'law of the increasing misery of the proletariat,' 
which Marx called 'the absolute general law of capitalist accumulation.' Anti-Marxists 
have always maintained the falsity of this law and have deduced from this the 
incorrectness of Marx's analysis of capitalism. Some Marxist, on the other hand, have 
been equally concerned to demonstrate the truth of the law, and so a controversy 
producing much heat and little light has raged for more than half a century. Both 
sides are guilty of the same misunderstanding of Marx's method. The law in question is 
derived on a high level of abstraction; the term 'absolute' used in describing it is 
used in the Hegelian sense of 'abstract'; it constitutes in no sense a concrete 
prediction about the future. Moreover, in this particular case, Marx says as much in 
perfectly clear language, so that misinterpretation seems particularly difficult to 
condone. Having stated the law, he immediately adds, 'Like all other laws it is 
modified in its working by many circumstances, the analysis of which does not concern 
us here.'"

Jayson Funke
 
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