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An investigation of logical pluralism and b-entailmentErickson, Evelyn Fernandes 12 December 2016 (has links)
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Previous issue date: 2016-12-12 / O pluralismo l?gico vem recentemente chamando aten??o, com v?rios autores contestando
sua natureza. O pluralismo l?gico ? a posi??o que diz que h? mais de uma
l?gica correta ou leg?tima, o que pode ser articulado de diferentes maneiras. A presente
disserta??o participa nesse debate explorando o framework do ?-entailment
no contexto de variedades do pluralismo presentes na literatura. O ?-entailment ?
uma no??o de consequ?ncia l?gica que ? capaz de expressar outras rela??es, como
as l?gicas multi-dimensionais. Em particular, esse estudo examina quatro posi??es
sobre o pluralismo: o pluralismo ecl?tico de Shapiro, o pluralismo atrav?s de GTT
de Beall e Restall, o pluralismo intra-te?rico de Hjortland e os pluralismos atrav?s
de teoria das demonsta??es de Restall e Paoli. Ser? mostrado como o ?-entailment
se encaixa nessas variedades de pluralismo e tamb?m como fica em falta em certos
aspectos. O objetivo da disserta??o ? tanto contribuir para a discuss?o sobre o pluralismo
l?gico quanto expandir a discuss?o sobre o ?-entailment e outras no??es de
consequ?ncia l?gica desse g?nero. / Logical pluralism has recently been given much attention, with numerous authors
contesting its nature. In a broad sense, logical pluralism is the view that there
are more than one correct or legitimate logic, which can be articulated in different
ways. The present study participates in this debate by exploring the framework
of ?-entailment in the context of several of varieties of pluralism. ?-entailment is
a logical consequence relation, which may express different consequence relations,
such as those of many-dimensional logics. In particular, this study examines four
different takes on pluralism: Shapiros?s eclectic pluralism, Beall and Restall?s GTT
pluralism, Hjortland?s intra-theoretic pluralism and Restall and Paoli?s pluralism
based on proof-theory. It will be shown how ?-entailment fits into these varieties
of pluralism, and a discussion is presented on how ?-entailment falls short is some
aspects. The aim is to contribute to the discussion on logical pluralism as well as to
expand the discussion about ?-entailment and consequence relations of this sort.
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Of madness and many-valuedness: an investigation into Suszko's ThesisSilva, Sanderson Molick 04 September 2015 (has links)
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Previous issue date: 2015-09-04 / Coordena??o de Aperfei?oamento de Pessoal de N?vel Superior (CAPES) / A Tese de Suszko ? uma posi??o filos?fica acerca da natureza dos m?ltiplos
valores-de-verdade. Formulada pelo l?gico polon?s Roman Suszko, durante a
d?cada de 1970, a tese defende a exist?ncia de ?apenas dois valores-de-verdade?. Tal
afirma??o diz respeito ? concep??o de multi-valora??o perpetrada pelo l?gico Jan
?ukasiewicz. Considerado um dos criadores das l?gicas multi-valoradas, ?ukasiewicz
acrescentou, em adi??o aos valores fregeanos tradicionais de Verdade e Falsidade,
um terceiro valor: o Indeterminado. Para ele, seu terceiro valor poderia ser visto
como um passo al?m da dicotomia Aristot?lica entre o ser e o n?o-ser. De acordo
com Suszko, as ideias de ?ukasiewicz sobre multi-valora??o se baseavam em uma
confus?o entre valores alg?bricos (aquilo que ? descrito/denotado por senten?as) e
valores l?gicos (verdade e falsidade). Assim, o terceiro valor-de-verdade criado por
?ukasiewicz seria apenas um valor alg?brico, isto ?, uma poss?vel denota??o para
uma senten?a, mas n?o um valor l?gico genu?no. A tese de Suszko encontra respaldo
em um resultado formal conhecido hoje como Redu??o de Suszko, um teorema que
afirma que toda l?gica tarskiana pode ser caracterizada por uma sem?ntica bivalente.
Esta disserta??o pretende ser uma investiga??o da tese de Suszko e de suas
implica??es. A primeira parte ? dedicada ?s ra?zes hist?ricas da multi-valora??o e
introduz as principais motiva??es de Suszko ao formular a distin??o entre valores
alg?bricos e valores l?gicos, e assim revelar o car?ter duplo dos valores-de-verdade. A
segunda parte explora a Redu??o de Suszko e apresenta seus principais desenvolvimentos;
as propriedades das sem?nticas bivalentes em compara??o ?s sem?nticas
multi-valoradas tamb?m s?o exploradas e discutidas. Por fim, a terceira parte investiga
o conceito de valores l?gicos dentro do contexto de no??es n?o-tarskianas de
consequ?ncia l?gica; o significado da tese de Suszko dentro desses ambientes tamb?m
? discutido. Mais ainda, os fundamentos filos?ficos das no??es de consequ?ncias
n?o-tarskianas s?o discutidos ? luz do debate recente sobre pluralismo l?gico. / Suszko?s Thesis is a philosophical claim regarding the nature of many-valuedness. It was formulated by the Polish logician Roman Suszko during the middle 70s and states the existence of ?only but two truth values?. The thesis is a reaction against the notion of many-valuedness conceived by Jan ?ukasiewicz. Reputed as one of the modern founders of many-valued logics, ?ukasiewicz considered a third undetermined value in addition to the traditional Fregean values of Truth and Falsehood. For ?ukasiewicz, his third value could be seen as a step beyond the Aristotelian dichotomy of Being and non-Being. According to Suszko, ?ukasiewicz?s ideas rested on a confusion between algebraic values (what sentences describe/denote) and logical values (truth and falsity). Thus, ?ukasiewicz?s third undetermined value is no more than an algebraic value, a possible denotation for a sentence, but not a genuine logical value. Suszko?s Thesis is endorsed by a formal result baptized as Suszko?s Reduction, a theorem that states every Tarskian logic may be characterized by a two-valued semantics. The present study is intended as a thorough investigation of Suszko?s thesis and its implications. The first part is devoted to the historical roots of many-valuedness and introduce Suszko?s main motivations in formulating the double character of truth-values by drawing the distinction in between algebraic and logical values. The second part explores Suszko?s Reduction and presents the developments achieved from it; the properties of two-valued semantics in comparison to many-valued semantics are also explored and discussed. Last but not least, the third part investigates the notion of logical values in the context of non-Tarskian notions of entailment; the meaning of Suszko?s thesis within such frameworks is also discussed. Moreover, the philosophical foundations for non-Tarskian notions of entailment are explored in the light of recent debates concerning logical pluralism.
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