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1 ¹ For citations in this form, “Williamson” is understood.

2 ² Abductive arguments in philosophy are mentioned in the first edition (184, 210, this volume). Unless specified otherwise, page references in this preface are to the first edition of this book, as reprinted here.

3 ³ Peter died far too young, in 2007. His work reminds me of Beethoven’s view of Handel: a master of achieving great effects by simple means.

4 ⁴ My work in continued defense of an abductive methodology for choosing between rival candidates for the first principles of logic and mathematics (2013a: 423–9, 2017b, 2018b) is too specialized to be appropriately included in the present volume. For a more “popular” account of abduction in philosophy see 2018a: 66–81.

5 ⁵ For uses of model-building in my work see Shin and Williamson 1996, various passages in 2000a, and 2013c, 2014b, 2015a, 2019b, 2020b.

6 ⁶ For a more “popular” account of model-building in philosophy see 2018a: 127–40.

7 ⁷ Incidentally, one of those now engaged in this much-needed work is Paolo Tripodi, with an earlier incarnation of whom I take issue in Chapter 13.5.

8 ⁸ For a more general and “popular” discussion of the relation between philosophy and its history see 2018a: 98–110.

9 ⁹ See 2013c, 2015a. These papers are not included in the present volume because they are mainly occupied with epistemological and technical issues, exemplifying rather than discussing philosophical methodology.

10 ¹⁰ See 2018a: 111–26 for brief “popular” discussions of some close links between philosophy and various other disciplines.

11 ¹¹ A more accurate statement replaces “the property of being a vixen” with a second-order analogue, as explained in 2013a.

12 ¹² Both negative and positive associations of the word “control” are intended.

13 ¹³ 2017e, 2018c, and 2021d defend the counterfactual approach to modal epistemology but were written before my change of view on the semantics of counterfactual conditionals.

14 ¹⁴ The present text of the first edition corrects mistakes which escaped my proofreading, on pages 166, 180, and 306: thanks to Andrew Melnyk, Chi-Yen Liu, and David Etlin respectively. I have silently corrected a few similar mistakes in the added sections. I have also made various verbal adjustments in the added sections for the sake of smooth reading in the new context of the second edition.