Quantitative Epistemology

In Mario Augusto Bunge, Michael R. Matthews, Guillermo M. Denegri, Eduardo L. Ortiz, Heinz W. Droste, Alberto Cordero, Pierre Deleporte, María Manzano, Manuel Crescencio Moreno, Dominique Raynaud, Íñigo Ongay de Felipe, Nicholas Rescher, Richard T. W. Arthur, Rögnvaldur D. Ingthorsson, Evandro Agazzi, Ingvar Johansson, Joseph Agassi, Nimrod Bar-Am, Alberto Cupani, Gustavo E. Romero, Andrés Rivadulla, Art Hobson, Olival Freire Junior, Peter Slezak, Ignacio Morgado-Bernal, Marta Crivos, Leonardo Ivarola, Andreas Pickel, Russell Blackford, Michael Kary, A. Z. Obiedat, Carolina I. García Curilaf, Rafael González del Solar, Luis Marone, Javier Lopez de Casenave, Francisco Yannarella, Mauro A. E. Chaparro, José Geiser Villavicencio- Pulido, Martín Orensanz, Jean-Pierre Marquis, Reinhard Kahle, Ibrahim A. Halloun, José María Gil, Omar Ahmad, Byron Kaldis, Marc Silberstein, Carolina I. García Curilaf, Rafael González del Solar, Javier Lopez de Casenave, Íñigo Ongay de Felipe & Villavicencio-Pulid (eds.), Mario Bunge: A Centenary Festschrift. Springer Verlag. pp. 181-184 (2019)
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Abstract

This chapter follows Mario Bunge’s unswerving dedication to the idea that philosophical deliberations should be precise in formulation and cogent in substantiation. In deliberating about the range of human knowledge from a quantitative point of view it emerges that three very different ranges of consideration have to be addressed. The range of what we human individuals can actually and overtly know is bound to consist of a finite number of items. And given the recursive nature of language the range of what is knowable—i.e. propositionally formulated truth—is at most denumerably infinite. But the range of what is theoretically knowable—the manifold of actual facts—is going to be transdenumerably large, if only due to the role of real-valued parameters. A proper heed to this quantitative disparity has interesting implications for the status of our knowledge in a world where we must deal with digital conceptualization of an analogue reality.

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Nicholas Rescher
University of Pittsburgh

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