The historical assessment of Appendix B as simply 'faulty' risks conflating a local inferential error with a wholesale refutation of the predicativist research program it initiated.
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A philosopher or mathematician who believes we should only use clear, step-by-step definitions that don't rely on circular reasoning or reference to incomplete wholes.
Research program(as used in philosophy of science)
A long-term scientific or philosophical project that uses a core set of ideas and methods to solve problems, kind of like a strategy that a scientist commits to over many years.
Wholesale refutation(completely discarding the whole research program)
A complete, total rejection of an entire idea or approach, not just one part of it.