On 6/21/2015 3:31 AM, Helmut Raulien wrote:
Supplement: Because I dont want to pass over my below mentioned confusion, or start a tangent, I try to answer my own question: There are concepts, that are a product of reflexion (eg. by having looked at nature), and there are other concepts that come from praeflexion. Mathematics does praeflect, and then prove these concepts, and the Peircean logic of relatives is reflecting nature. Because nature is triadic, the Peircean logic is also. Mathematics is not only reflecting nature, but itself and then preaflecting all that might be possible to justifiedly do with numbers and other abstract (reflected) units, so it is k-adic. Jon, Gary, List, Gary has confirmed, I think, that with ontologism you have meant the FOO, and that this FOO indeed denies the reality of concepts, so also denies triadic relations in nature. Now about the term "nature": Is it so, that in mathematics things are possible, which are not possible in nature? I am refering to the Peircean logic of relations, in which all higher-than-3-adic relations can be reduced to 3-adic relations. Now my question is: In mathematics 4-,5-,6-, and so on-adic relations are unique ones, are they not? Are they not in Peirces logic of relations, because it is a naturalistic thing, and in nature (or in the nature we can percieve), there is only the classes time, space, relation between time and space? Or events, ens (permanent units), 2-adic relations? (of which three the relation is 3-adic). So- is Peircean logic, in contrast to mathematical logic, naturalistic? Naturalism is often not nicely spoken about: "Naturalistic fallacy". But all this I wrote cannot be, because if I say, that concepts are real, then mathematics (which is a concept), is also real, so part of nature. So, higher-than-3-adic relations should be unique (not reducible to 3-adic, as claimed by Peirce). I am confused. Best, Helmut
Well, a state of confusion is one of the provinces that inquiry hails from. And relation theory affords a handy atlas of maps to guide the exploration. Regards, Jon -- academia: http://independent.academia.edu/JonAwbrey my word press blog: http://inquiryintoinquiry.com/ inquiry list: http://stderr.org/pipermail/inquiry/ isw: http://intersci.ss.uci.edu/wiki/index.php/JLA oeiswiki: http://www.oeis.org/wiki/User:Jon_Awbrey facebook page: https://www.facebook.com/JonnyCache
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