Publicación: ¿Qué significa demostrar?
| dc.title | ¿Qué significa demostrar? | |
| dc.type | info:eu-repo/semantics/article | |
| dcterms.isReferencedBy | The purpose of this paper is to show the most relevant philosophical aspects that hang around the proof, concerning a method of justification, of mathematical knowledge. Consequently, I try to point out which have been the most significant and revealing moments in the history of the method of mathemati cal proof and hi ghlight its restrictions: from Pythagoras to the formalist Hilbert`s program and Frege and Russell`s logicism. After that, I examine the limitations of the requirement of completeness of the for mali st program directl y related to Gödel ’s incompleteness theorem and dissociation between the true and the provable. Following, I try to analyze, in its essential aspects, Lakatos’ criticism to the Euclidean proof theory as unique method of mathematics and present, in contrast, this author`s empiricist stance on for mal sciences. Finally, I raise some critical reflections by way of conclusion, expressing facts concerning the realm of the difficulty of reflection on mathematical proof, understood as one of the most complex and abstract constructions of human cognition. | |
| dcterms.medium | https://estudiosepistemologia.ct.unt.edu.ar/article/view/78 | |
| dcterms.publisher | spa | |
| dcterms.rights | Derechos de autor 2023 Estudios de Epistemología | |
| dcterms.tableOfContents | 2016-06-05 | |
| dcterms.title | Estudios de Epistemología; Vol. 13 (2016): Estudios de Epistemología N° 13; 7-21 | |
| dspace.entity.type | Publication | |
| eperson.phone | Cardozo, Sergio Daniel |
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