Abstract
It is widely thought that the acceptability of an abstraction principle is a feature of the cardinalities at which it is satisfiable. This view is called into question by a recent observation by Richard Heck. We show that a fix proposed by Heck fails but we analyze the interesting idea on which it is based, namely that an acceptable abstraction has to “generate” the objects that it requires. We also correct and complete the classification of proposed criteria for acceptable abstraction.
Original language | English (US) |
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Pages (from-to) | 61-74 |
Number of pages | 14 |
Journal | Notre Dame Journal of Formal Logic |
Volume | 59 |
Issue number | 1 |
DOIs | |
State | Published - 2018 |
Bibliographical note
Publisher Copyright:© 2018 by University of Notre Dame.
Keywords
- Abstraction
- Bad company
- Hume’s Principle
- Logicism