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I claim that a relatively new position in philosophy of mathematics, pluralism, overlaps in striking ways with the much older Jain doctrine of anekantavada and the associated doctrines of nyayavada and syadvada. I first outline the pluralist position, following this with a sketch of the Jain doctrine of anekantavada. I then note the srrong points of overlaps and the morals of this comparison of pluralism and anekantavada. |
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In 1948 Jaśkowski introduced the first discussive logic. The main technical idea was to take what holds to be what is true at some possible world. Some 2,000 years earlier, Jain philosophers had advocated a similar idea, in their doctrine of _syādvāda_. Of course, these philosophers had no knowledge of contemporary logical notions; but the techniques pioneered by Jaśkowski can be deployed to make the Jain ideas mathematically precise. Moreover, Jain ideas suggest a new family of many-valued discussive logics. In (...) |
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The book presents a thoroughly elaborated logical theory of generalized truth-values understood as subsets of some established set of truth values. After elucidating the importance of the very notion of a truth value in logic and philosophy, we examine some possible ways of generalizing this notion. The useful four-valued logic of first-degree entailment by Nuel Belnap and the notion of a bilattice constitute the basis for further generalizations. By doing so we elaborate the idea of a multilattice, and most notably, (...) |
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The central goal of the _cross-cultural critical thinking movement_ is to change the dominant model of critical thinking pedagogy that is used in the US, UK, and those countries that follow this model. At present the model is centered on an Anglo-American and Euro-Centric model of critical thinking that actively and blatantly ignores contributions to logic and critical thinking education from non-Western sources; more importantly, the model implicitly sends the message to students of critical thinking that _critical thinking_ is a (...) |
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One theme that unites many, if not all, pragmatists is the theme of community, whether in the form of communal matters of truth production and verification in shared experience or in the search for the ideal sociopolitical public. Thus Richard Bernstein closes his study of community, a concern “so fundamental in the pragmatic tradition,” by connecting it to the communicative interests of all the pragmatist thinkers he examines: “Fallibility, openness, criticism, mutual respect, and recognition are essential dimensions of their understanding (...) |
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In Philosophical Logic, the Liar Paradox has been used to motivate the introduction of both truth value gaps and truth value gluts. Moreover, in the light of “revenge Liar” arguments, also higher-order combinations of generalized truth values have been suggested to account for so-called hyper-contradictions. In the present paper, Graham Priest's treatment of generalized truth values is scrutinized and compared with another strategy of generalizing the set of classical truth values and defining an entailment relation on the resulting sets of (...) |
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Jain ādhyātmik (spiritual, mystical) poets from the 17th to 19th centuries (e.g., Banārasīdās, Ānandghan, Cidānanda) elaborated a category of ineffability to discuss the pure experience of the soul or self (ātma-anubhava). These early-modern Jain poets mobilized a very specific understanding of the ineffable, one that resists language and logocentrism as sources of delusion and conflict. The focus on the ineffable in this poetry is always attended by a set of terms that qualify the ādhyātmik view. These are a privileging of (...) |
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Nāgārjuna, the famous founder of the Madhyamika School, proposed the positive catuṣkoṭi in his seminal work, Mūlamadhyamakakārikā: ‘All is real, or all is unreal, all is both real and unreal, all is neither unreal nor real; this is the graded teaching of the Buddha’. He also proposed the negative catuṣkoṭi: ‘“It is empty” is not to be said, nor “It is non-empty,” nor that it is both, nor that it is neither; [“empty”] is said only for the sake of instruction’ (...) |
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Jaina philosophy provides a very distinctive account of logic, based on the theory of ?sevenfold predication?. This paper provides a modern formalisation of the logic, using the techniques of many-valued and modal logic. The formalisation is applied, in turn, to some of the more problematic aspects of Jaina philosophy, especially its relativism. |
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In classical India, Jain philosophers developed a theory of viewpoints ( naya-vāda ) according to which any statement is always performed within and dependent upon a given epistemic perspective or viewpoint. The Jainas furnished this epistemology with an (epistemic) theory of disputation that takes into account the viewpoint in which the main thesis has been stated. The main aim of our paper is to delve into the Jain notion of viewpoint-contextualisation and to develop the elements of a suitable logical system (...) |
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In the Bṛhadāraṇyaka Upaniṣad, one of the principal Upaniṣads, we find a venerable and famous story where the god Prajāpati separately instructs three groups of people (gods, humans, and demons) simply by uttering the syllable “Da.” In this paper, our concern is not with ethics but theories of meaning and interpretation: How can all divergent interpretations of a single expression be correct, and, indeed, endorsed by the speaker? As an exercise in cross-cultural philosophical reflection, we consider some of the leading (...) |
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Does it make sense to employ modern logical tools for ancient philosophy? This well-known debate2 has been re-launched by the indologist Piotr Balcerowicz, questioning those who want to look at the Eastern school of Jainism with Western glasses. While plainly acknowledging the legitimacy of Balcerowicz's mistrust, the present paper wants to propose a formal reconstruction of one of the well-known parts of the Jaina philosophy, namely: the saptabhangi, i.e. the theory of sevenfold predication. Before arguing for this formalist approach to (...) |
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A rational interpretation is proposed for two ancient Indian logics: the Jaina saptabhaṅgī, and the Mādhyamika catuṣkoṭi. It is argued that the irrationality currently imputed to these logics relies upon some philosophical preconceptions inherited from Aristotelian metaphysics. This misunderstanding can be corrected in two steps: by recalling their assumptions about truth; by reconstructing their ensuing theory of judgment within a common conceptual framework. |
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This paper is a review of the nine chapters more directly concerned with philosophy of the volume Jaina Scriptures and Philosophy. Edited in 2015 by Peter Flügel and Olle Qvarnström, this interdisciplinary volume in philosophy, philology, linguistics, literary studies and history is presented as an essential contribution to the study of Jaina philosophy inasmuch as it offers a collection of cutting-edge analyses on the emergence and development of philosophical concepts such as the Self and its epistemic faculties, with a focus (...) |
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