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Negation and infinity

References Aristotle. (1961). Physics. Lincoln: University of Nebraska Press. (Richard Hope, trans.) Béziau, J.-Y. (2002). Are paraconsistent negations negations? In W. A. Carnielli, M. E. Coniglio, & I. M. Loffredo D’Ottaviano (Eds.), Paraconsistency: the logical way to the inconsistent (pp. 465-486). New-York: Marcel Dekker. Retrieved from Cantor, G. (1932). Gesammelte Abhandlungen mathematischen und philosophischen Inhalts. Mit Erl

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Negating as turning upside down

References Awodey, S. (2006). Category Theory. Oxford University Press. Chrudzimski, A. (2012). Negative states of affairs: Reinach versus ingarden. Symposium. The Canadian Journal of Continental Philosophy, 16(2): 106-127. Horn, L. R. and Wansing, H. (2017). Negation. In Zalta, E. N., editor, The Stanford Encyclopedia of Philosophy. Metaphysics Research Lab, Stanford University, spring 2017 edition. Lawvere, F. W. (1969). Adjointness in Foundations. Dialectica, 23(3/4): 281

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Processing Negation in the Context of Adjectival Antonymy

. Clark, H. & Clark, E. (1977). Psychology and language. New York: Harcourt. Colston. H. L. (1999). "Not good" is bad, but "not bad" is not good: An analysis of three accounts of negation asymmetry. Discourse Processes , 28, 237-256. Cruse, D. A. & Togia, P. (1995). Towards a cognitive model of antonymy. Lexicology , 1, 113-141. Gough, P. B. (1965). Grammatical transformations and speed of understanding, Journal of Verbal Learning and Verbal Behavior , 4, 107

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I believe that he didn’t do it and I don’t believe that he did it. The influence of context on the semantic-communicative relations between sentence negation and performative negation

References Austin J. L. (1962). How to do with words. Oxford: Claredon Press. Clark, H. H. (1976). Semantics and comprehension. The Hague: Mouton. Clark, H.H. i Chase, W.G. (1972). On the Process of Comparing Sentence against Pictures. Cognitive Psychology, 3 (3), 472-517. Colston, H. L. (1999). “Not good” is bad, but “not bad” is not good: An analysis of three accounts of negation asymmetry. Discourse Processes, 28, 237-256. Dahl, Ö. (2011). Typology of negation. In: L. R. Horn

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A contra-linguistic study of negation in Korean and English

References Bernini, G. and P. Ramat. 1992. La frase negativa nelle lingue d’Europa. Bologna: Il Mulino. Blanco E. and D. Moldovan. 2011. Some Issues on Detecting Negation from Text. Dikken, M. 2006. Parasitism, Secondary Triggering, and Depth of Embedding. In R. Zanuttini, H. Campos, E. Herburger, and P. Portner (ed.) Crosslinguistic Research in Syntax and Semantics Washington, D.C., US: Georgetown University Press, 151-174. Haspelmath, M. 1993. A typological study of indefinite pronouns

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Negation and presupposition, truth and falsity

philosophische Kritik 100: 25-50. Gahér, F. (2001). Negation and presupposition. In: The Logica Yearbook 2000, Ondrej Majer (ed.), Prague: Filosofia, pp. 133-150. Gundel, J. K. (1999). Topic, focus and the grammar pragmatics interface. In Proceedings of the 23rd Annual Penn Linguistics Colloquium. Penn Working Papers in Linguistics, vol. 6.1, J. Alexander, N. Han and M. Minnick (eds.), pp. 185-200. Gundel, J. K. and Fretheim, T. (2004). Topic and Focus. In The Handbook of Pragmatics. Laurence Horn and Gregory Ward (eds

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Why is “not infrequent” not always “frequent”? Double negation in political discourse

principles in the analysis of political discourse. Chilton, Paul, Christina Schäffner, eds. Politics as Text and Talk: Analytic approaches to political discourse. Amsterdam - Philadelphia: John Benjamins, 1-41. Fairclough, Norman (1989). Language and Power. London: Longman. Giora, Rachel (2006). Anything negatives can do affirmatives can do just as well, except for some metaphors. Journal of Pragmatics 38: 981-1014. Givón, Talmy (1978). Negation in language: pragmatics, function, ontology. Cole, Peter, ed. Syntax and

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in ExELL
The Problems of the Mental Logic with the Double Negation: The Necessity of a Semantic Approach

: Harvard University Press. Gentzen, G. (1935). Untersuchungen über das logische Schließen I. Mathematische Zeitschrift , 39 , 176–210. Jespersen, O. (1917). Negation in English and Other Languages . Copenhagen, Denmark: Det Kongelige Danske Videnskabernes Selskab. Johnson-Laird, P. N. (2006). How We Reason . Oxford, UK: Oxford University Press. Johnson-Laird, P. N. (2012). Inference with mental models. In K. J. Holyoak & R. G. Morrison (Eds.), The Oxford Handbook of Thinking and Reasoning (pp. 134–145). New York, NY: Oxford University Press

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Contentual approach to negation1


Interpretations of logics with only truth-functional connectives create a number of problems regarding the understanding of interpreted sentences. A particular problem is caused by the understanding of a sentence that is the negation of another. What is the meaning of sentence ¬p, for a particular sentence p? Even when we know what the semantic correlate of the sentence p is, we still do not know how to understand the semantic correlate of the sentence ¬p. The standard algebraic approach does not explain much. The problem is still open, because it is still unclear how to understand the element of algebra −v(p). The propositional logic with the connective of the content implication, as it is a non-Fregean logic, proposes a simple solution to this problem. The key to understanding the content of the sentence ¬p is to understand the content of the sentence p. Because, the content of the natural language sentence usually has a partial understanding, so it can be understood differently. Therefore, the negation ¬p is here understood adequately to the current and partial understanding of the sentence p. It seems that the proposed approach is consistent with our daily thinking.

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Bipolar Items

: Historical Linguistics 1995, vol. 2: Germanic Linguistics. Amsterdam: John Benjamins, pp.101-114. JACKENDOFF, R. S., 1972. Semantic interpretation in generative grammar. Cambridge: MIT Press. KARTTUNEN, L. and PETERS, S., 1979. Conventional implicature. In: Syntax and Semantics, vol. 11. Presupposition. Academic Press. KATO, Y., 1985. Negative sentences in Japanese. Sophia Linguistica, vol.14, pp.1-229. KATO, Y., 2000. Interpretive asymmetries of negation. In: Negation and Polarity: Syntactic and Semantic

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