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Spinoza on the Infinite, the Unbound: Part I


Key to understanding Spinoza’s approach to the Infinite is appreciating that for him, primarily and speaking generally, The Infinite is Unbroken. And following this, modifications of the Infinite (how Spinoza defines the modes) do not break that unbroken state. For Spinoza, any treatment of Substance must follow from this understanding.

What makes this compelling, and ultimately germane to any assessment of the status of rational knowledge as it is found in logically related descriptions, and at the seeming apex of such, mathematical descriptions, is that insofar as numerical designation indicate a limitation, a bound, a break in The Infinite, this is an imaginary product and is not adequate knowledge. Perhaps, penultimately: mathematical, scientific knowledge stands at a skeptical remove from the true nature of Nature. Which is not to say that mathematical relations, and the various fields of mathematical description, do not play a significant role the human being coming into some form of absolute knowledge of God/Substance/Nature. At most, the internal coherence and powerful indications of mathematical forms act as Augustine’s finger, pointing to Substance’s moon.

One can see this in Meyer’s preface to Spinoza’s early career more geometrico treatment of Descartes’ philosophy, The Principles of Cartesian Philosophy. Meyer explicitly sets out Spinoza’s distance from Descartes’ matho-scientific treatment of Nature:

This [work] must not be regarded as expressing our Author’s own view. All such things, he holds, and many others even more sublime and subtle, can not only be conceived by use clearly and distinctly but can also be explained quite satisfactorily, provided that the human intellect can be guided to the search for truth and the knowledge of things along a path different from that which was opened up and leveled by Descartes. And so he holds that the foundations of the sciences laid by Descartes and the superstructure that he built thereon do not suffice to elucidate, and resolve all the most difficult problems that arise in metaphysics. Other foundations are required if we seek to raise our intellect to that pinnacle of knowledge.

I had to get this basic beginning out so that I can move on. Hopefully to follow soon: Spinoza’s hyper-proximity to Badiou (and Badiou’s intention misreading), Cantor’s attempt to in-concretize Spinoza’s Infinite (as transfinite), and, the Place of Mathematics within Spinoza’s theory of the Intellect and Knowledge, the weight of Letter 12  (or something of these sorts).


One response to “Spinoza on the Infinite, the Unbound: Part I

  1. James July 13, 2009 at 1:02 am

    This is an interesting an timely topic. So hurry up and write some more.


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