Open Access. Powered by Scholars. Published by Universities.®
Articles 1 - 2 of 2
Full-Text Articles in Arts and Humanities
The Causal Indicator Analysis Of Knowledge, Steven Luper
The Causal Indicator Analysis Of Knowledge, Steven Luper
Philosophy Faculty Research
In this paper I want to describe and motivate an approach to knowledge that I call the Causal Indicator Analysis. My strategy will be to sketch (in Part I) the main features of an adequate account of knowledge, then use my sketch (in Part II) to reveal some of the faults of some of the main analyses defended today. I will be particularly interested in discussing the work of Fred Dretske, whose views have significantly influenced my own. With these tasks behind me, I will offer my own account in Part III, and argue that it has the features an …
Logic And Proof For Mathematicians: A Twentieth Century Perspective, Calvin Jongsma
Logic And Proof For Mathematicians: A Twentieth Century Perspective, Calvin Jongsma
Faculty Work Comprehensive List
If there is one aspect of mathematics education that frustrates both students and teachers alike, it has got to be learning how to do valid proofs. Students often feel they really know the mathematics they're studying but that their teachers place some unreasonably stringent demands upon their arguments. Teachers, on the other hand, can't understand where their students get some of the wacky arguments they come up with. They argue in circles, they end up proving a different result from what they claim, they make false statements, they draw invalid inferences - it can be quite exasperating at times! Unfortunately, …