{ "@graph" : [ { "@id" : "http://semantics.gr/authorities/EKT-voc-classifier/900007644", "@type" : "skos:Concept", "broader" : "http://semantics.gr/authorities/EKT-voc-classifier/462105886", "exactMatch" : [ "http://semantics.gr/authorities/EKT-voc/900007644", "http://id.loc.gov/authorities/subjects/sh85100849", "http://semantics.gr/authorities/LC-gr/filosofia-genika", "http://semantics.gr/authorities/ekt-unesco/1312694585", "http://vocabularies.unesco.org/thesaurus/concept286" ], "note" : { "@language" : "en", "@value" : "isi - Philosophy covers resources on every branch of philosophy including logic, metaphysics, epistemology, descriptive ethics, and metaphilosophy." }, "prefLabel" : [ { "@language" : "en", "@value" : "Philosophy" }, { "@language" : "el", "@value" : "Φιλοσοφία" } ], "relatedMatch" : [ "http://semantics.gr/authorities/ekt-unesco/1258282824", "http://semantics.gr/authorities/LC-gr/filosofia-psyxologia-thrhskeia", "http://vocabularies.unesco.org/thesaurus/mt3.15" ] }, { "@id" : "http://semantics.gr/authorities/openarchives-item-types/Journal-part", "@type" : "skos:Concept", "broader" : "http://semantics.gr/authorities/openarchives-item-types/Issue-segment", "prefLabel" : [ { "@language" : "en", "@value" : "Publication in journal" }, { "@language" : "el", "@value" : "Δημοσίευση σε περιοδικό" } ] }, { "@id" : "http://semantics.gr/authorities/openarchives-item-types/Scientific-article", "@type" : "skos:Concept", "broader" : "http://semantics.gr/authorities/openarchives-item-types/arthro", "prefLabel" : [ { "@language" : "en", "@value" : "Scientific article" }, { "@language" : "el", "@value" : "Επιστημονικό άρθρο" } ] }, { "@id" : "https://www.openarchives.gr/aggregator-openarchives/edm/Conatus/000069-34917", "@type" : "edm:ProvidedCHO", "creator" : "Peña-Páez, Lina María", "description" : { "@language" : "en", "@value" : "In the field of the philosophy of mathematics, in recent years, there has been a resurgence of two processes: intuition and visualization. History has shown us that great mathematicians in their inventions have used these processes to arrive at their most brilliant proofs, theories and concepts. In this article, we want to defend that both intuition and visualization can be understood as processes that contribute to the development of mathematical knowledge as evidenced in the history of mathematics. Like intuition, visualization does not have a definition, and its role has become more prominent both in pure mathematics and in educational research. For us, both visualization and intuition are processes that start from the real world of those who “intuit” or “visualize,” require experience and knowledge of concepts and theories (the more expertise in the subject, the more profound the results will be) and must, in the end, be validated by the specialized academic community. In this article, we defend the importance of visualization in mathematical practice and its role in the advances of great scientists (Euclid, Euler, Galileo, Descartes, Newton, Maxwell, Riemann, Einstein, Feynman, among others) as an alternative and valuable way to symbolic thinking, which has “reigned” in the academic and scientific community." }, "format" : "application/pdf", "identifier" : "https://ejournals.epublishing.ekt.gr/index.php/Conatus/article/view/34917", "language" : "eng", "publisher" : { "@language" : "en", "@value" : "The NKUA Applied Philosophy Research Laboratory" }, "relation" : "https://ejournals.epublishing.ekt.gr/index.php/Conatus/article/view/34917/29507", "dc:rights" : [ { "@language" : "en", "@value" : "Copyright (c) 2024 LINA MARÍA PEÑA PÁEZ" }, { "@language" : "en", "@value" : "http://creativecommons.org/licenses/by-nc/4.0" } ], "source" : [ { "@language" : "en", "@value" : "Conatus - Journal of Philosophy; Vol. 9 No. 2 (2024): Conatus - Journal of Philosophy; 195-221" }, { "@language" : "el", "@value" : "Conatus - Περιοδικό Φιλοσοφίας; Τόμ. 9 Αρ. 2 (2024): Conatus - Journal of Philosophy; 195-221" }, "2459-3842", "2653-9373", "Conatus-Περιοδικό Φιλοσοφίας" ], "subject" : [ { "@language" : "en", "@value" : "dynamic process" }, { "@language" : "en", "@value" : "intuition" }, { "@id" : "http://semantics.gr/authorities/EKT-voc-classifier/900007644" }, { "@language" : "en", "@value" : "visualization" }, { "@language" : "en", "@value" : "mathematical practice" } ], "title" : { "@language" : "en", "@value" : "Visualization as an Intuitive Process in Mathematical Practice" }, "type" : [ "http://semantics.gr/authorities/openarchives-item-types/Scientific-article", "http://semantics.gr/authorities/openarchives-item-types/Journal-part" ], "dc:type" : [ "info:eu-repo/semantics/publishedVersion", "info:eu-repo/semantics/article" ], "created" : "2024-12-29" }, { "@id" : "https://www.openarchives.gr/aggregator-openarchives/edm/aggregation/provider/000069-34917%231", "@type" : "ore:Aggregation", "aggregatedCHO" : "https://www.openarchives.gr/aggregator-openarchives/edm/Conatus/000069-34917", "dataProvider" : "Εργαστήριο Εφαρμοσμένης Φιλοσοφίας", "isShownAt" : "https://ejournals.epublishing.ekt.gr/index.php/Conatus/article/view/34917", "provider" : "Greek Aggregator OpenArchives.gr | National Documentation Centre (EKT)", "rights" : "http://creativecommons.org/licenses/by-nc/4.0" } ], "@context" : { "rights" : { "@id" : "http://www.europeana.eu/schemas/edm/rights", "@type" : "@id" }, "provider" : { "@id" : "http://www.europeana.eu/schemas/edm/provider" }, "isShownAt" : { "@id" : "http://www.europeana.eu/schemas/edm/isShownAt", "@type" : "@id" }, "dataProvider" : { "@id" : "http://www.europeana.eu/schemas/edm/dataProvider" }, "aggregatedCHO" : { "@id" : "http://www.europeana.eu/schemas/edm/aggregatedCHO", "@type" : "@id" }, "source" : { "@id" : "http://purl.org/dc/elements/1.1/source" }, "identifier" : { "@id" : "http://purl.org/dc/elements/1.1/identifier" }, "format" : { "@id" : "http://purl.org/dc/elements/1.1/format" }, "subject" : { "@id" : "http://purl.org/dc/elements/1.1/subject" }, "type" : { "@id" : "http://purl.org/dc/elements/1.1/type", "@type" : "@id" }, "description" : { "@id" : "http://purl.org/dc/elements/1.1/description" }, "creator" : { "@id" : "http://purl.org/dc/elements/1.1/creator" }, "relation" : { "@id" : "http://purl.org/dc/elements/1.1/relation", "@type" : "@id" }, "publisher" : { "@id" : "http://purl.org/dc/elements/1.1/publisher" }, "language" : { "@id" : "http://purl.org/dc/elements/1.1/language" }, "created" : { "@id" : "http://purl.org/dc/terms/created" }, "title" : { "@id" : "http://purl.org/dc/elements/1.1/title" }, "exactMatch" : { "@id" : "http://www.w3.org/2004/02/skos/core#exactMatch", "@type" : "@id" }, "prefLabel" : { "@id" : "http://www.w3.org/2004/02/skos/core#prefLabel" }, "relatedMatch" : { "@id" : "http://www.w3.org/2004/02/skos/core#relatedMatch", "@type" : "@id" }, "note" : { "@id" : "http://www.w3.org/2004/02/skos/core#note" }, "broader" : { "@id" : "http://www.w3.org/2004/02/skos/core#broader", "@type" : "@id" }, "ore" : "http://www.openarchives.org/ore/terms/", "owl" : "http://www.w3.org/2002/07/owl#", "svcs" : "http://rdfs.org/sioc/services#", "skos" : "http://www.w3.org/2004/02/skos/core#", "rdfs" : "http://www.w3.org/2000/01/rdf-schema#", "rdaGr2" : "http://rdvocab.info/ElementsGr2/", "edm" : "http://www.europeana.eu/schemas/edm/", "ekt" : "https://www.semantics.gr/authorities/schemanamespaces/ekt#", "doap" : "http://usefulinc.com/ns/doap#", "rdf" : "http://www.w3.org/1999/02/22-rdf-syntax-ns#", "xalan" : "http://xml.apache.org/xalan", "dcterms" : "http://purl.org/dc/terms/", "wgs84_pos" : "http://www.w3.org/2003/01/geo/wgs84_pos#", "foaf" : "http://xmlns.com/foaf/0.1/", "crm" : "http://www.cidoc-crm.org/rdfs/cidoc_crm_v5.0.2_english_label.rdfs#", "dc" : "http://purl.org/dc/elements/1.1/" } }