Kaina Stoicheia -- Discussion

Re: Gary Fuhrman
At: http://permalink.gmane.org/gmane.science.philosophy.peirce/8530
In: http://comments.gmane.org/gmane.science.philosophy.peirce/8530

Gary & All,

In the first passage Peirce is referring to the fact
that infinite sets are equicardinal to some of their
proper subsets, a property that can be used to define
infinite sets, as Peirce did slightly before Dedekind.

Missing this possibility was not do much an erroneous
assumption of earlier mathematicians as a failure to
define the various kinds of "size" that one might be
talking about.

The last two quotes reinforce the framework that
Peirce gave for the relation of mathematics to
the normative sciences, including logic.

Cf. http://inquiryintoinquiry.com/2012/05/31/definition-and-determination-4/

Regards,

Jon

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