Re: [PEIRCE-L] Cyclical Systems and Continuity

2017-02-23 Thread Benjamin Udell
ht further would take considerable time and space, so I'll stop here. --Jeff Jeffrey Downard Associate Professor Department of Philosophy Northern Arizona University (o) 928 523-8354 ____ From: g...@gnusystems.ca [g...@gnusystems.ca] Sent: Wednesday, Fe

RE: [PEIRCE-L] Cyclical Systems and Continuity

2017-02-23 Thread gnox
Jeff, your post seems to head in directions I'm unable to follow, so I'll just mention this: the final two selections in Moore's "Philosophy of Mathematics" collection are probably the best tools for "filling in the gap" in Peirce's thinking between arrival of the proofs of the article and the

Re: [PEIRCE-L] Cyclical Systems and Continuity

2017-02-22 Thread John F Sowa
Jeff and Gary, JBD I'm wondering if anyone can explain in greater detail what Peirce is suggesting in this passage in making the comparison between the atomic weight of oxygen and the continuity of Time GF I think the claim is that our experience of time is the prototype for all conceptions

RE: [PEIRCE-L] Cyclical Systems and Continuity

2017-02-22 Thread gnox
Jeff, list, I was struck by that passage too, but I don’t think Peirce’s claim is “that the continuity of our experience of time can serve as a kind of standard for measure.” Rather I think the claim is that our experience of time is the prototype for all conceptions of a perfect continuum.

[PEIRCE-L] Cyclical Systems and Continuity

2017-02-21 Thread Jeffrey Brian Downard
List, I've been trying to sort through the points Peirce is making about topology and the mathematical conception of continuity in the last lecture of RLT. In the attempts to trace the development of the ideas concerning the conceptions of continua, furcations and dimensions in his later