Re: Mathematics According To C.S. Peirce
Jon Awbrey <[email protected]>
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Re: A. Mani At: http://www.cs.nyu.edu/pipermail/fom/2010-May/014794.html Just off hand, I think Peirce might say that mathematical reasoning draws necessary conclusions as being contingent on hypothetical data, none of which data are necessarily given in experience at all. That is why normative science depends on mathematical reasoning, since it depends on answering hypothetical questions of the form, "If I made it so that X were true, would it necessarily be true that Y is so?" In some sense, that seems to make mathematics the relative form of phenomenology that you were asking about. Or maybe just one form of relative phenomenology? Jon Awbrey -- inquiry list: http://stderr.org/pipermail/inquiry/ mwb: http://www.mywikibiz.com/Directory:Jon_Awbrey knol: http://knol.google.com/k/-/-/3fkwvf69kridz/1 oeiswiki: http://www.oeis.org/wiki/User:Jon_Awbrey