The first clear distinction between the heuristic conjecture and the deductive proof in the ancient mathematics

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dc.contributor.authorKlukovits, Lajos
dc.date.accessioned2024-09-04T09:45:04Z
dc.date.available2024-09-04T09:45:04Z
dc.date.issued2004-12-01
dc.description.abstractThe mathematics of the ancient river-valley cultures was purely empirical, while the classical Greek mathematics was entirely deductive without any written sign of the heuristic arguments. In the forthcoming Hellenistic period there were significant changes. One of them is that in spite of the rigorous (deductive) proofs some heuristic arguments appeared in separate treatises. We show a nice example due to Archimedes. "We have learned from the very pioneers of this science not to have regard to mere plausible imaginings when it is a question of the reasonings to be included in our geometrical doctrine." – Proclusen
dc.formatapplication/pdf
dc.identifier.citationTeaching Mathematics and Computer Science, Vol. 2 No. 2 (2004) , 397-406
dc.identifier.doihttps://doi.org/10.5485/TMCS.2004.0067
dc.identifier.eissn2676-8364
dc.identifier.issn1589-7389
dc.identifier.issue2
dc.identifier.jatitleTeach. Math. Comp. Sci.
dc.identifier.jtitleTeaching Mathematics and Computer Science
dc.identifier.urihttps://hdl.handle.net/2437/379542en
dc.identifier.volume2
dc.languageen
dc.relationhttps://ojs.lib.unideb.hu/tmcs/article/view/14732
dc.rights.accessOpen Access
dc.rights.ownerLajos Klukovits
dc.subjectheuristic argumentsen
dc.subjectdeductive proofen
dc.titleThe first clear distinction between the heuristic conjecture and the deductive proof in the ancient mathematicsen
dc.typefolyóiratcikkhu
dc.typearticleen
dc.type.detailedidegen nyelvű folyóiratközlemény hazai lapbanhu
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Teaching Mathematics and Computer Science (DE-journals)