Research Article

Inference Situations, Counter-Model Constructions and A Computer Implementation of A Logic Composed of Intersecting Adjectives and the Quantifier “More’’

Volume: 6 Number: 1 April 15, 2018
EN

Inference Situations, Counter-Model Constructions and A Computer Implementation of A Logic Composed of Intersecting Adjectives and the Quantifier “More’’

Abstract

In this paper, we study the logic of language of $ L(More,IA) $. The logic contains the quantifier called ‘’ more ‘’ which makes cardinality comparisons can not be expressed in the language of the first order logic. The sentence forms are basically the form of ‘’There are more y than x .‘’ with x and y being common plural nouns. The sentence forms of common plural nouns combined with intersecting adjectives are ‘’There are more b y than a x.’’ with the intersecting adjectives a and b. We focus on derivation algorithms of the sentences having this type of quantifier and algorithms of construction of counter-models when the derivations are not provided.

Keywords

References

  1. [1] Łukasiewicz, J. 1957. Aristotle's syllogistic from the standpoint of modern formal logic, Oxford University Press Academic Monograph Reprints, 222p.
  2. [2] Moss, L.S. 2010. Intersecting adjectives in syllogistic logic. In The Mathematics of Language (pp. 223-237). Springer Berlin Heidelberg.
  3. [3] Moss, L.S. 2016. Syllogistic Logic with Cardinality Comparisons. In J. Michael Dunn on Information Based Logics (pp. 391-415). Springer International Publishing.
  4. [4] Moss, L.S. and Topal, S. 2017. Syllogistic Logic with Cardinality Comparisons, On Infinite Sets. arXiv preprint arXiv:1705.03037.
  5. [5] Topal, S. 2017. Bazı Sillojistik ve Kardinalite Karşılaştırmalı Lojiklerin Türetimlerinin Cebirsel ve Etiketli Çizge Teorik Özellikleri Üzerine. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, DOI-10. 19113/sdufbed.50072
  6. [6] West, D.B., 2001. Introduction to graph theory (Vol. 2). Upper Saddle River: Prentice hall.
  7. [7] Van Rossum, G. 2007, June. Python Programming Language. In USENIX Annual Technical Conference (Vol. 41, p. 36).
  8. [8] Topal, S. 2017. L(More, IA) Lojiğinin Python Uygulaması. http://pbs.beu.edu.tr/s.topal/docs (Erişim Tarihi: 15.05.2017).

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

April 15, 2018

Submission Date

April 3, 2018

Acceptance Date

April 6, 2018

Published in Issue

Year 2018 Volume: 6 Number: 1

APA
Topal, S., & Akünsoy, Y. (2018). Inference Situations, Counter-Model Constructions and A Computer Implementation of A Logic Composed of Intersecting Adjectives and the Quantifier “More’’. Konuralp Journal of Mathematics, 6(1), 1-6. https://izlik.org/JA44UJ83KE
AMA
1.Topal S, Akünsoy Y. Inference Situations, Counter-Model Constructions and A Computer Implementation of A Logic Composed of Intersecting Adjectives and the Quantifier “More’’. Konuralp J. Math. 2018;6(1):1-6. https://izlik.org/JA44UJ83KE
Chicago
Topal, Selçuk, and Yasin Akünsoy. 2018. “Inference Situations, Counter-Model Constructions and A Computer Implementation of A Logic Composed of Intersecting Adjectives and the Quantifier “More’’”. Konuralp Journal of Mathematics 6 (1): 1-6. https://izlik.org/JA44UJ83KE.
EndNote
Topal S, Akünsoy Y (April 1, 2018) Inference Situations, Counter-Model Constructions and A Computer Implementation of A Logic Composed of Intersecting Adjectives and the Quantifier “More’’. Konuralp Journal of Mathematics 6 1 1–6.
IEEE
[1]S. Topal and Y. Akünsoy, “Inference Situations, Counter-Model Constructions and A Computer Implementation of A Logic Composed of Intersecting Adjectives and the Quantifier “More’’”, Konuralp J. Math., vol. 6, no. 1, pp. 1–6, Apr. 2018, [Online]. Available: https://izlik.org/JA44UJ83KE
ISNAD
Topal, Selçuk - Akünsoy, Yasin. “Inference Situations, Counter-Model Constructions and A Computer Implementation of A Logic Composed of Intersecting Adjectives and the Quantifier “More’’”. Konuralp Journal of Mathematics 6/1 (April 1, 2018): 1-6. https://izlik.org/JA44UJ83KE.
JAMA
1.Topal S, Akünsoy Y. Inference Situations, Counter-Model Constructions and A Computer Implementation of A Logic Composed of Intersecting Adjectives and the Quantifier “More’’. Konuralp J. Math. 2018;6:1–6.
MLA
Topal, Selçuk, and Yasin Akünsoy. “Inference Situations, Counter-Model Constructions and A Computer Implementation of A Logic Composed of Intersecting Adjectives and the Quantifier “More’’”. Konuralp Journal of Mathematics, vol. 6, no. 1, Apr. 2018, pp. 1-6, https://izlik.org/JA44UJ83KE.
Vancouver
1.Selçuk Topal, Yasin Akünsoy. Inference Situations, Counter-Model Constructions and A Computer Implementation of A Logic Composed of Intersecting Adjectives and the Quantifier “More’’. Konuralp J. Math. [Internet]. 2018 Apr. 1;6(1):1-6. Available from: https://izlik.org/JA44UJ83KE
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