Abstract
In this paper, I review the motivation of connexive and strongly connexive logics, and I investigate the question why it is so hard to achieve those properties in a logic with a well motivated semantic theory. My answer is that strong connexivity, and even just weak connexivity, is too stringent a requirement. I introduce the notion of humble connexivity, which in essence is the idea to restrict the connexive requirements to possible antecedents. I show that this restriction can be well motivated, while it still leaves us with a set of requirements that are far from trivial. In fact, formalizing the idea of humble connexivity is not as straightforward as one might expect, and I offer three different proposals. I examine some well known logics to determine whether they are humbly connexive or not, and I end with a more wide-focused view on the logical landscape seen through the lens of humble connexivity.
| Dokumententyp: | Zeitschriftenartikel |
|---|---|
| Publikationsform: | Publisher's Version |
| Keywords: | connexive logic; strong connexivity; unsatisfiability; paraconsistency; conditional logic; modal logic |
| Fakultät: | Philosophie, Wissenschaftstheorie und Religionswissenschaft > Munich Center for Mathematical Philosophy (MCMP) > Logic |
| Themengebiete: | 100 Philosophie und Psychologie > 100 Philosophie
100 Philosophie und Psychologie > 160 Logik |
| URN: | urn:nbn:de:bvb:19-epub-69255-9 |
| ISSN: | 2300-9802 |
| Sprache: | Englisch |
| Dokumenten ID: | 69255 |
| Datum der Veröffentlichung auf Open Access LMU: | 23. Okt. 2019, 10:12 |
| Letzte Änderungen: | 04. Nov. 2020, 13:51 |
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