Jeff, I agree with your points and concerns. The following issue is critical: JBD> The future of mathematics is hard to see--even for the best of mathematicians. Yes. And Peirce was far ahead of his time in many aspects of mathematics, logic, psychology, and philosophy. Therefore, it's essential to consider developments during the century *after* Peirce in order to understand Peirce's early versions of those ideas. For continuity and infinitesimals, Abraham Robinson in the 1960s vindicated Peirce's insights and restated them in a form that meets today's standards of rigor. Zalamea is a mathematcian who understands both Peirce's mathematics and modern mathematics. His insights are essential for understanding and clarifying Peirce's insights. Since Zalamea was writing for a 21st c. audience, he was using modern terminology. That practice is consistent with Peirce's ethics of terminology. Peirce's primary goal was to improve communication by developing a standardized terminology. Peirce himself abandoned some of his early terminology when he found that his contemporaries had adopted new terms. He would not obligate us to resuscitate any of his terms for which the world had established other standards. John
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