Engels poked fun of the 
>notion of imaginary numbers, that is numbers 
>that were derived from the square root of 
>-1.  But both imaginary numbers and complex 
>numbers were already, in Engels's time, a quite 
>respectable part of mathematics.  And physicists 
>and engineers were already using them in 
>analyzing such things as wave phenomena, for 
>instance. While Engels generally had a good 
>grasp of the science of his day, he was behind 
>the times in his understanding of mathematics 
>(he was also deficient in his understanding of 
>the latest work on the foundations of the 
>calculus) and that led him to making a few 
>whoppers in his writings.

^^^^
CB: It's still not clear to me that saying that imaginary numbers involves a 
dialectical contradiction is a "whopper". Most of the mathematicians who made 
the later advances were "deficient" in dialectical logic or used unconsciously. 

I'll forward the thread where we discussed this before.

CB



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