TY - CHAP
T1 - Oskar Becker
T2 - On the Logic of Modalities
AU - Centrone, Stefania
AU - Minari, Pierluigi
N1 - Publisher Copyright:
© 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.
PY - 2022
Y1 - 2022
N2 - The following short essay contains a first attempt to confront with the currently emerging problem of the logic of modalities on the basis of a peculiar method. Such method is determined, on the one side, by the calculus of logic, as the now indispensable tool of formal-logical research and, on the other side, by the standpoint of phenomenology. The concurrent usage of these methods of research, which are so different as to their essence and to their methodological technique, could appear to be questionable and is, actually, not bare of difficulties. Nevertheless, this seems to be unavoidable, if one does not want to end up in two “polar” unilateralities, namely, the mathematical combination of mostly empty concept-constructs, on the one hand, and the quite “shortsighted” description of obvious, more or less arbitrarily assembled concrete cases, on the other hand, which latter has been called, jokingly, “empiricism of the apriori”.
AB - The following short essay contains a first attempt to confront with the currently emerging problem of the logic of modalities on the basis of a peculiar method. Such method is determined, on the one side, by the calculus of logic, as the now indispensable tool of formal-logical research and, on the other side, by the standpoint of phenomenology. The concurrent usage of these methods of research, which are so different as to their essence and to their methodological technique, could appear to be questionable and is, actually, not bare of difficulties. Nevertheless, this seems to be unavoidable, if one does not want to end up in two “polar” unilateralities, namely, the mathematical combination of mostly empty concept-constructs, on the one hand, and the quite “shortsighted” description of obvious, more or less arbitrarily assembled concrete cases, on the other hand, which latter has been called, jokingly, “empiricism of the apriori”.
KW - Formal completions of Lewis’s system
KW - Historical temporality
KW - M. Heidegger
KW - Mathematical intuitionism and modalities
KW - Modal translation of intuitionistic logic
KW - Natural temporality
KW - Rank order and reduction of modalities
UR - http://www.scopus.com/inward/record.url?scp=85128652054&partnerID=8YFLogxK
U2 - 10.1007/978-3-030-87548-0_4
DO - 10.1007/978-3-030-87548-0_4
M3 - Chapter
AN - SCOPUS:85128652054
T3 - Synthese Library
SP - 55
EP - 114
BT - Synthese Library
PB - Springer Science and Business Media B.V.
ER -