Question-Answer Semantics
DOI:
https://doi.org/10.26512/rfmc.v8i1.32835Keywords:
.Abstract
The present paper deals with a special kind of many-valued semantics: Question-Answer Semantics, in which logical values are products of questions about semantic predicates (‘true’, ‘false’, etc.) and corresponding answers (‘yes’, ‘no’, etc.). It purports to clarify some di_culties related to what is meant by basic speech-acts like assertion and denial. Deep disagreements occur whenever any two speakers disagree about the meaning of the words they use. In the special case of truth-values, Frege took these as the referents of propositions that are classes of sentences accepted (‘true’) or rejected (‘false’). Starting from this usual depiction of truth and falsehood, a general algebraic framework ARn/m is proposed in order to systematize the use of truth-values within a dialectical perspective of logic. A special attention is paid to two pseudo-speakers radically opposed, namely: Heraclitus, and Nagarjuna, according to whom truth-values refer to everything and nothing, respectively. In the end, a dialectical (pseudo-Hegelian) negation is sketched as a very peculiar function, namely: as an ontological object-forming operator, which is similar to the arithmetic successor-forming operator Sn+1(x) applied to integers and also matches with a generalized theory of truth-values as Millian or Kripkean proper names.
References
BALCEROWICZ, P. “Do attempts to formalize the syadvada make sense”. Article presented at the 11th Worskhop of Jain Studies: Jaina Scriptures and Philosophy, SOAS, 1-51. London, 2009.
BERNAYS, P. “Axiomatische Untersuchungen des Aussagen-Kalkuls der ‘Principia Mathematica”’, Mathematische Zeitschrift, Vol. 25 (1926): 305-20.
DUBOIS, D. “On Ignorance and Contradiction Considered as Truth-values”, emphLogic Journal of the IGPL, Vol. 16 (2008): 195-216.
GANERI (2002). “Jaina Logic and the Philosophy Basis of Pluralism”, History and Philosophy of Logic, Vol. 23 (2002): 267-281.
LORENZEN, P. & Lorenz, K. Dialogische Logik. Darmstadt: Wissenschaftliche Buchgesellschaft (1978).
PRIEST, G. “Hypercontradictions”, Logique et Analyse, Vol. 107 (1984): 237-243.
PRIEST, G. “The Logic of the Catuskoti’ ’, Comparative Philosophy, Vol. 1, No. 2 (2010): 24-54.
RÜCKERT, H. “Logiques dialogiques ‘multivalentes’”, Philosophia Scientiae, Vol. 8(2004): 59-87.
SCHANG, F. “A 4-valued Logic of Strong Conditional”, South American Journal of Logic, Vol. 3(1) (2017): 59-86.
SCHANG, F. “A Generalized Referential Theory of Truth-Values”, in Rationality in Action: Intentions, Interpretations and Interactions, HSE Moscow Publication, Saint Petersburg, 2015: 157-178.
SCHANG, F. “An Arithmetization of the Logic of Oppositions”, in The Square of Opposition: A Cornerstone of Thought, J.-Y. BÉZIAU & G. BASTI (ed.), Birkhäusel, Basel, 2016: 215-237.
SCHANG, F. “Eastern Proto-logics”, in New Directions in Paraconsistent Logics, BÉZIAU J.-Y. & CHAKRABORTY, M. & DUTTA, S (eds.), Springer Proceedings in Mathematics and Statistics, 2016: 529-552.
SCHANG, F. “Questions and Answers about Opposition”, in New Perspectives on the Square of Opposition, BÉZIAU, J.-Y. & PAYETTE, G. (eds.), Peter Lang, Bern, 2011: 289-319.
SCHANG, F. “Two Indian Dialectical Logics: saptabhangi and catuskoti”, in Studies in Logic: Logic and Philosophy Today, Vol. 29, GUPTA, A. & van BENTHEM, J. (eds.), 2011: 45-74.
SHRAMKO, Y. & WANSING, H. “Hypercontradictions, Generalized truth values, and Logics of Truth and Falsehood”, Journal of Logic, Language and Information, 15 (2006): 403-424.
SUSZKO, R. “The Fregean axiom and Polish mathematical logic in the 1920’s”, Studia Logica, Vol. 36 (1977): 377-80.
WANSING, H. & BELNAP, D. “Generalized truth-values. A reply to Dubois”, Logic Journal of the IGPL, Vol. 18 (2010): 921-935.
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