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The Modal Logic of John Fabri of Valenciennes (c. 1500)

Part of the SpringerBriefs in Philosophy Book Series

DOI: 10.1007/978-3-030-98802-9

ISBN: 978-3-030-98801-2

Publisher: Springer International Publishing - Springer Journals

May 4, 2022

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Introduction

Geudens, Christophe; Demey, Lorenz

Pages: 1 –9

[This book is a study of approaches to modal logic at the eve of the Northern Renaissance. At this point in time, the logical discourse in Northern Europe was organized around the so-called Wegestreit, the dichotomy between via antiqua (traditionalism) and via moderna (modernism). Past research...
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The Foundations of Fabri’s Modal Logic

Geudens, Christophe; Demey, Lorenz

Pages: 11 –20

[This chapter introduces the basic elements of Fabri’s modal logic. The main subjects that are addressed are the syntax of modal propositions and the extension of the set of modal operators. We point out that Fabri considers epistemic terms and propositional attitudes as modal operators, and...
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Fabri’s Logic of Composite Modals

Geudens, Christophe; Demey, Lorenz

Pages: 21 –37

[This chapter gives a historical reconstruction of Fabri’s logic of composite modals. We first study the main outlines of his modal semantics, which is based on his theory of signification (significatio) and supposition (suppositio). Next we discuss his views of the propositional quantity of...
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Model-Theoretic Reconstruction of Fabri’s Logic of Composite Modals

Geudens, Christophe; Demey, Lorenz

Pages: 39 –49

[This chapter gives a rational reconstruction of Fabri’s logic of composite modals. The main aim of the chapter is to get clear on the token-based nature of this logic. We develop two model-theoretic semantics which both do justice to Fabri’s original account. Based on these semantics we argue...
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Fabri’s Logic of Composite Modals in its Historical Context

Geudens, Christophe; Demey, Lorenz

Pages: 51 –61

[This chapter situates Fabri’s logic of composite modals in its historical context. Building on the results from Chap. 3, we focus our attention on the two most remarkable features of this logic: the allowance for quantification over dicta and quantification invariance. We argue that these...
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Fabri’s Logic of Divided Modals

Geudens, Christophe; Demey, Lorenz

Pages: 63 –82

[In this chapter, we continue our exploration of Fabri’s modal logic by turning towards his logic of divided modals. We first discuss Fabri’s account of the truth conditions of such modals and sketch the main features of his theory of ampliation. We then turn to the logical geometry of divided...
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Fabri’s Logic of Divided Modals in Its Historical Context

Geudens, Christophe; Demey, Lorenz

Pages: 83 –88

[This chapter focuses on the historical context of Fabri’s logic of divided modals. We are concerned with two topics: Fabri’s modal octagon, and the method that he uses to determine the truth conditions of divided modals. As in Chaps. 2 and 5, we will argue that there is a clear link with the...
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Conclusion

Geudens, Christophe; Demey, Lorenz

Pages: 89 –91

[The conclusion wraps up the discussion, and summarizes our main claims: (1) the Wegestreit shaped the discourse on modal logic during the post-medieval period; (2) Fabri’s modal logic implements the approach to the topic that is typical of the Paris via moderna; (3) the Traditionalist Thesis...

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