... Abstract)¹

This research was supported in part by a grant from the Natural Sciences and Engineering Research Council of Canada.

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... truth.²

Popper later changed his mind about Kuhn being relativistic; see [Pop94, p. 62, footnote 19].

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... ``interesting''³

To be precise, for any theory including first-order arithmetic and strong enough to encode all effectively computable functions.

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... arithmetic.⁴

In the full paper, there will be a proof of the theorem and a discussion of the proof.

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... out,⁵

Except for this one difference, i.e., Popper's claim that the incommensurability of paradigms implies relativity.

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...[Fey75].⁶

This is the only work of Feyerabend that I have read on this subject. I understand that in other works Feyerabend did not make such a strong claim.

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... method.⁷

If there can be no sound and complete description of a scientific method, perhaps ``method'' is the wrong word: perhaps we should be speaking of a scientific approach.

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... involved.⁸

Ayala and Black [] argue from the position of Popper that the courts should pay attention to refereed scientific journals.

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... question.⁹

Of course, it is a necessary part of this idea that the refereeing process is independent of considerations from outside science, such as financial interest.

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... science.¹⁰

I am thus dividing science in something of the way Hilbert divided mathematics into its real and ideal parts.

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