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Re: [spinoza-ethics] Re: slow reading -- prop 28 and following note

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  • Joseph B. Yesselman
    Dear Lancelot,
    Message 1 of 7 , Aug 31, 2001
      Dear Lancelot,

      <
      < I long ago created an "index of implication" for Spinoza's Ethics,
      < to serve as a tool for studying the logical structure of the Ethics.
      <

      I have linked (in small print) your "index of implication (logical index)"
      to my "Ethics."

      Thank you for your kind permission.

      Regards,

      Joseph

      ==========================================================

      "Lancelot R. Fletcher" wrote:

      > As some of you may be aware, I long ago created an "index of implication"
      > for Spinoza's Ethics, to serve as a tool for studying the logical structure
      > of the Ethics. A copy of it can be found at:
      > http://freelance-academy.org/spinoza/ethindex.txt.
      >
      > When I begin to consider the meaning of a proposition in the Ethics, I find
      > it useful to consult this index, which shows both the dependency of the
      > proposition (those propositions cited in the proof) and the implication of
      > that proposition (all the subsequent passages which cite this particular
      > proposition. The table of implication is of particular interest, I think,
      > because by studying how Spinoza used a particular term we can often increase
      > our understanding of what he actually meant by that term -- which is
      > sometimes different from the conventional understanding of the term.
      >
      > I have quoted the index node for IP28 below. If you are reading it with a
      > proportionally spaced font it may look a bit odd, but the columns should
      > line up correctly if you use a monospaced font such as Courier.
      >
      > One of the first things you will notice if you compare this node with others
      > in the index is that it is an exceptionally rich and balanced nexus. By
      > "rich" I mean that IP28 cites, and is cited in, a large number of other
      > terms. By "balanced" I mean that the number of terms which the proof of
      > IP28 cites is equal to the number in which it is cited. What this fact might
      > signify is not obvious, but it might be taken to suggest that this
      > particular proposition is one of crucial importance in the development of
      > the Ethics.
      >
      > A second observation is that IP28 is cited in four out of the five parts of
      > the Ethics -- only a half-dozen or fewer of the propositions in the Ethics
      > are cited so widely in the Ethics (none are cited in all five parts). This
      > suggests that IP28 may be one of the important logical "sinews" binding the
      > structure of the Ethics into a whole.
      >
      > Lance Fletcher
      > writing from Tbilisi
      >
      > ------------------------- --------------------- ----------------------
      > ----
      >
      > |4. ID3 |===>|69. IP28 |===>|76. IP32
      > |
      >
      > | | --------------------- |
      > |
      >
      > |6. ID5 | |116. IIP9
      > |
      >
      > | | |
      > |
      >
      > |11. IA1 | |135. IIP13L3
      > |
      >
      > | | |
      > |
      >
      > |59. IP21 | |180. IIP30
      > |
      >
      > | | |
      > |
      >
      > |60. IP22 | |181. IIP31
      > |
      >
      > | | |
      > |
      >
      > |63. IP24C | |210. IIP48
      > |
      >
      > | | |
      > |
      >
      > |66. IP25C | |432. IVP29
      > |
      >
      > | | |
      > |
      >
      > |67. IP26 | |565. VP6
      > |
      >
      > ------------------------- ----------------------
      > ----
      >


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