To which I'd add, the idea of less basic sciences borrowing principles from more basic sciences goes back before Benjamin Peirce (Charles ascribes it to Comte, though I suspect that in some form it goes back much further). The idea that mathematics is the most basic science goes back before Benjamin and at least to Comte. While Charles was obviously influenced by his father's reliance on geometry, Charles' _/distinction/_ between theorematic and corollarial, and his elaboration of it, owe much to his reflections on Kant's distinction between the synthetic a priori and the analytic.

Best, Ben

On 4/19/2015 5:33 PM, Franklin Ransom wrote:
Steven, list,

Steven, if I tried to do that, I might as well start with the Ancient philosophers and mathematicians and move my way up; and I don't see you trying to champion the cause of Euclid. In any case, my post is not a published work in scholarship; it's an attempt to discuss the work. In the work itself, credit is given where it should be. My aim was to discuss the ideas, which are partly Benjamin's, partly Charles's, and partly Frederik's. Since it is assumed that participants have read, or are reading, the book, and there is quite a lot going on in the chapter, I aimed to grasp what is most essential and (re)present it.

But I appreciate your point about Benjamin's contributions, along with Euclid's. If Benjamin's take on these ideas is of some further relevance for the subject of the chapter, please continue and communicate the relevance for diagrammatic experimentation.


-- Franklin


On Sun, Apr 19, 2015 at 4:38 PM, Steven Ericsson-Zenith <[email protected] <mailto:[email protected]>> wrote:


    No mention of Benjamin is made in your original post and it reads
    as if all from Charles, giving new readers especially a false idea
    concerning his contributions. When his individual contribution
    should be positioned in the community of scholars.

    This is why the discussion is relevant.

    Regards,
    Steven


    --
        Dr. Steven Ericsson-Zenith, Los Gatos, California.
    +1-650-308-8611 <tel:%2B1-650-308-8611>
    http://iase.info




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