A New Analytic/Synthetic/Horotic Paradigm
We study a contemporary need to complement analytic philosophy with pendular, synthetic approaches. We provide new definitions of the dyad analytics/synthetics and complete it with a natural third, horotics. Some historical trends to support a synthetic/horotic paradigm are studied: (i) Peirce’s ide...
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| Vydáno v: | URI:https://journals.openedition.org/ejpap, |
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| Hlavní autoři: | , |
| Médium: | Article ou chapitre numérique |
| Jazyk: | Anglais |
| Vydáno: |
European Journal of Pragmatism and American Philosophy
2017
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| On-line přístup: | Accès Université d'Orléans et IFPM Accès Université d'Orléans et IFPM |
| Shrnutí: | We study a contemporary need to complement analytic philosophy with pendular, synthetic approaches. We provide new definitions of the dyad analytics/synthetics and complete it with a natural third, horotics. Some historical trends to support a synthetic/horotic paradigm are studied: (i) Peirce’s ideas around his logic of continuity – non Cantorian continuum and existential graphs – emphasizing the importance of mathematical gestures, (ii) Gödel’s understanding of intuitionism as a synthetic counterpart of classical logic, along with a new horotic approach to his work, (iii) Contemporary mathematical achievements (1950-2000), difficult to understand from analytical philosophy perspectives. Finally, we indicate some main features that a systematical synthetic/horotic reasoning should enforce, in order to fulfill its historic sequence. |
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