https://medium.com/@jimfarmelant/why-do-marxist-economists-avoid-using-math-and-what-kind-of-conclusions-do-they-reach-without-it-63ff53c5d090

To my mind this question seems to be badly formulated. One problem with the 
question as presented here is that it presupposes that Marxist economists avoid 
using math , which isn’t actually true. Many Marxist and post-Marxist 
economists (e.g., Morishima, Sraffa, Steedman, Shaikh, Foley) have used 
sophisticated mathematical models. The question, as written, can thus come off 
as *misinformed or polemical*.

There is a certain ambiguity in the question as presented here. It is not at 
all clear whether “without math” refers to purely philosophical analysis, 
historical materialism, or dialectical reasoning. That vagueness makes it 
difficult to answer precisely. Given those issues, a more useful question to 
answer might be, “How do Marxist economists view the role of mathematical 
modeling in economic analysis, and what are some of their distinctive 
theoretical conclusions compared to mainstream economics?”

Having said that, it is clear that many, if not most, mainstream economists see 
their Marxist colleagues as being resistant to using mathematics in their work. 
This is taken as sufficent in itself for mainstream economists to reject 
Marxist ideas as being unscientific. Some mainstream economists, just to prove 
that they are not operating out of political bias, will point out that they 
likewise reject the work of contemporary Austrian School economists, since they 
are not only resistant to using mathematics in economics but they also often 
have philosophical objections to using mathematics. To my knowledge, most 
Marxist economists, regardless of whether they use mathematics in their work or 
not, do not have principled philosophical objections to using mathematics. 
After all, Marx himself believed that mathematics would become increasingly 
important in economics. To that end, he went out of his way to teach himself 
calculus. He also made some attempts to using mathematics while writing 
Capital. At the same time, it is true that many Marxists have been resistant to 
the use of mathematics in their work. Over sixty years ago, the Norwegian 
Marxist economist Leif Johansen ( https://en.wikipedia.org/wiki/Leif_Johansen ) 
addressed some of the issues involved in an article published in Monthly 
Review, Marxism and Mathematical Economics ( 
https://www.dropbox.com/home/BOOKS_TRANSFER?preview=htmlb%2C%2BMR-014-09-1963-01_3_Marxism_and_mathematical_economics.pdf
 ). Alas, much of what he had to say still remains true today. And just to set 
matters straight, Johansen himself was very much a mathematical economist and 
was known during his day for his work on econometrics and on mathematical 
modeling.

We might add that there have been Marxist economists, like *Morishima* , 
*Sraffa* , *Steedman* , or *Foley* , that have used linear algebra, dynamic 
systems, and input-output analysis to formalize Marx’s theory of value and 
reproduction. While others, like *Mandel* , *Shaikh* , or *Fine* , combine 
empirical and historical work with less formal modeling. Many Marxist 
economists view mathematics as a tool, not as the foundation of theory. For 
them, economic laws are to be treated as historically specific social relations 
, not eternal or natural ones. So math is valuable when it expresses real 
social processes (e.g., the circuit of capital), but misleading when it 
abstracts away from history and class structure.

For most Marxist economists:

(1). Value and profit derive from labor, not from market equilibrium.

(2). Crises arise from contradictions within accumulation, not from external 
shocks.

(3). Economic “laws” are historically bounded — valid only under capitalism.

The economy cannot be understood apart from class and power relations. 
Therefore, it is inaccurate to portray Marxists as“anti-math,” but rather as 
*methodologically pluralist* — using math when it helps, but subordinating it 
to social theory. And depending on the theoretical leanings and interests of 
any given Marxist economist, you will find some whose work is highly 
mathematical and some whose work involves little use of mathematics.

I would also like to point out that mainstream economists are not entirely 
consistent in their making the claim that the work of economists who abjure the 
use of mathematics in their work can be safely rejected as being unscientific. 
After all, the economics profession seemed happy enough when Ronald Coase was 
awarded the Nobel Memorial Prize in economics back in 1991. His papers were 
generally lacking in mathematics.

Here are his two most famous papers: The Nature of the Firm ( 
https://onlinelibrary.wiley.com/doi/full/10.1111/j.1468-0335.1937.tb00002.x ) , 
and The Problem of Social Cost ( 
https://www.law.uchicago.edu/lawecon/coaseinmemoriam/problemofsocialcost ). I 
would challenge any reader to find a single equation in either paper. 
Furthermore, while Coase apparently had no principled philosophical objections 
to the use of mathematics in economics, he was notorious for his disdain for 
what he called “blackboard economics” which he alleged was practiced by most 
mainstream economists. He devoted much of his Nobel Lecture ( 
https://www.nobelprize.org/prizes/economic-sciences/1991/coase/lecture/ ) to 
articulating his objections to “blackboard economics.”


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