yeah, i mean i think forcing marx into a specific mathematical model misses the point entirely for the most part. it's just that there is a consistent mathematical way to phrase "tendency" which is in terms of time-averaged behaviors, which are a well-studied mathematical field. the tendency for the rate of profit to fall would be most accurately phrased mathematically as a statement about some abstract objects that have a specific time-averaged behavior, that marx therefore asserts is a dialectically correct interpretation of the aggregate behavior of capital. saying that it is "on average" falling is to actually say that it does have counter-tendencies that change the local behavior but not the behavior over sufficient time scales.
that's what i'm saying though is that you could do it, but to do so would be to miss the point. i don't think that makes a law of it though, just a model of a particular abstract thing. to proscribe mathematically is to insist that you can come up with a mathematically coherent and empirically observable set of quantities. no more, no less.
yeah, i mean i think forcing marx into a specific mathematical model misses the point entirely for the most part. it's just that there is a consistent mathematical way to phrase "tendency" which is in terms of time-averaged behaviors, which are a well-studied mathematical field. the tendency for the rate of profit to fall would be most accurately phrased mathematically as a statement about some abstract objects that have a specific time-averaged behavior, that marx therefore asserts is a dialectically correct interpretation of the aggregate behavior of capital. saying that it is "on average" falling is to actually say that it does have counter-tendencies that change the local behavior but not the behavior over sufficient time scales.
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that's what i'm saying though is that you could do it, but to do so would be to miss the point. i don't think that makes a law of it though, just a model of a particular abstract thing. to proscribe mathematically is to insist that you can come up with a mathematically coherent and empirically observable set of quantities. no more, no less.