A Monstrous Inference called Mahāvidyānumāna and Cantor's Diagonal Argument.

A mahāvidyā inference is used for establishing another inference. Its Reason ( hetu) is normally an omnipresent ( kevalānvayin) property. Its Target ( sādhya) is defined in terms of a general feature that is satisfied by different properties in different cases. It assumes that there is no (relevant)...

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Publicado en:Journal of Indian Philosophy Vol. 44; no. 3; pp. 557 - 580
Autor principal: Guha, Nirmalya
Formato: Artículo
Publicado: Springer Nature Jul2016
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Acceso en línea:Ver este registro en EBSCOhost
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        atl: A Monstrous Inference called Mahāvidyānumāna and Cantor's Diagonal Argument.
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        au: Guha, Nirmalya
        affil: Fulbright-Nehru Fellow, Department of Philosophy, University of Texas at Austin, Austin USA
      su:
        Smoke
        Theory of knowledge
        Fire
        Signs & symbols
        Eleventh century
      sug:
        subj:
          Smoke
          Theory of knowledge
          Fire
          Signs & symbols
          Eleventh century
      keyword:
        Cantor
        Counterbalancing
        Diagonal argument
        Kulārka Paṇḍita
        Mahādeva Bhaṭṭavādīndra
        Mahāvidyā
      ab: A mahāvidyā inference is used for establishing another inference. Its Reason ( hetu) is normally an omnipresent ( kevalānvayin) property. Its Target ( sādhya) is defined in terms of a general feature that is satisfied by different properties in different cases. It assumes that there is no (relevant) case that has the absence of its Target. The main defect of a mahāvidyā inference μ is a counterbalancing inference ( satpratipakṣa) that can be formed by a little modification of μ. The discovery of its counterbalancing inference can invalidate such an inference. This paper will argue that Cantor's diagonal argument too shares some features of the mahāvidyā inference. A diagonal argument has a counterbalanced statement. Its main defect is its counterbalancing inference. Apart from presenting an epistemological perspective that explains the disquiet over Cantor's proof, this paper would show that both the mahāvidyā and diagonal argument formally contain their own invalidators.
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    language: English
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