CIFOL: Case-Intensional First Order Logic View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2014-06

AUTHORS

Nuel Belnap, Thomas Müller

ABSTRACT

This is part I of a two-part essay introducing case-intensional first order logic (CIFOL), an easy-to-use, uniform, powerful, and useful combination of first-order logic with modal logic resulting from philosophical and technical modifications of Bressan’s General interpreted modal calculus (Yale University Press 1972). CIFOL starts with a set of cases; each expression has an extension in each case and an intension, which is the function from the cases to the respective case-relative extensions. Predication is intensional; identity is extensional. Definite descriptions are context-independent terms, and lambda-predicates and -operators can be introduced without constraints. These logical resources allow one to define, within CIFOL, important properties of properties, viz., extensionality (whether the property applies, depends only on an extension in one case) and absoluteness, Bressan’s chief innovation that allows tracing an individual across cases without recourse to any notion of “rigid designation” or “trans-world identity.” Thereby CIFOL abstains from incorporating any metaphysical principles into the quantificational machinery, unlike extant frameworks of quantified modal logic. We claim that this neutrality makes CIFOL a useful tool for discussing both metaphysical and scientific arguments involving modality and quantification, and we illustrate by discussing in diagrammatic detail a number of such arguments involving the extensional identification of individuals via absolute (substance) properties, essential properties, de re vs. de dicto, and the results of possible tests. More... »

PAGES

393-437

References to SciGraph publications

  • 2014. Internalizing Case-Relative Truth in CIFOL $$+$$ + in NUEL BELNAP ON INDETERMINISM AND FREE ACTION
  • 2014-10. BH-CIFOL: Case-Intensional First Order Logic in JOURNAL OF PHILOSOPHICAL LOGIC
  • 1972-05. Classes and change in JOURNAL OF PHILOSOPHICAL LOGIC
  • 1975-05. Contingent identity in JOURNAL OF PHILOSOPHICAL LOGIC
  • 2005-10. Unifying Quantified Modal Logic in JOURNAL OF PHILOSOPHICAL LOGIC
  • 1973. The Proper Treatment of Quantification in Ordinary English in APPROACHES TO NATURAL LANGUAGE
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    http://scigraph.springernature.com/pub.10.1007/s10992-012-9267-x

    DOI

    http://dx.doi.org/10.1007/s10992-012-9267-x

    DIMENSIONS

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