{"id":225,"date":"2019-08-01T11:43:02","date_gmt":"2019-08-01T08:43:02","guid":{"rendered":"http:\/\/synathena.gr\/epistemology3\/?page_id=225"},"modified":"2019-08-01T11:43:05","modified_gmt":"2019-08-01T08:43:05","slug":"%cf%87%ce%b1%cf%81%ce%ac%ce%bb%ce%b1%ce%bc%cf%80%ce%bf%cf%82-%ce%bb%ce%b5%ce%bc%ce%bf%ce%bd%ce%af%ce%b4%ce%b7%cf%82","status":"publish","type":"page","link":"http:\/\/synathena.gr\/epistemology3\/?page_id=225","title":{"rendered":"\u03a7\u03b1\u03c1\u03ac\u03bb\u03b1\u03bc\u03c0\u03bf\u03c2 \u039b\u03b5\u03bc\u03bf\u03bd\u03af\u03b4\u03b7\u03c2"},"content":{"rendered":"\n<p style=\"text-align:center\"><strong>\u039a\u03b1\u03b8\u03b7\u03b3\u03b7\u03c4\u03ae\u03c2 \u039c\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ce\u03bd,  \u03a0\u03b1\u03bd\u03b5\u03c0\u03b9\u03c3\u03c4\u03ae\u03bc\u03b9\u03bf \u0394\u03c5\u03c4\u03b9\u03ba\u03ae\u03c2 \u039c\u03b1\u03ba\u03b5\u03b4\u03bf\u03bd\u03af\u03b1\u03c2 <\/strong><\/p>\n\n\n\n<p style=\"text-align:center\"><a href=\"mailto:xlemon@uowm.gr\"><strong>xlemon@uowm.gr<\/strong><\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u0394\u03b7\u03bc\u03ae\u03c4\u03c1\u03b7\u03c2 \u039a\u03b1\u03c1\u03b1\u03b3\u03b9\u03ac\u03bd\u03bd\u03b7\u03c2<\/h2>\n\n\n\n<p style=\"text-align:center\"><strong>\u039c\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc\u03c2, \u0394\u03b9\u03b5\u03c5\u03b8\u03c5\u03bd\u03c4\u03ae\u03c2 \u039c\u03b1\u03bd\u03bf\u03c5\u03c3\u03ac\u03ba\u03b5\u03b9\u03bf\u03c5 (1\u03bf\u03c5) \u0395\u03c0\u03b1\u03b3\u03b3\u03b5\u03bb\u03bc\u03b1\u03c4\u03b9\u03ba\u03bf\u03cd \u039b\u03c5\u03ba\u03b5\u03af\u03bf\u03c5 \u0394\u03b5\u03c3\u03ba\u03ac\u03c4\u03b7\u03c2<\/strong><\/p>\n\n\n\n<p style=\"text-align:center\"><a rel=\"noreferrer noopener\" href=\"mailto:d.karajannis@yahoo.gr\" target=\"_blank\"><strong>d.karajannis@yahoo.gr<\/strong><\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"> <strong>\u03a4\u03bf \u03b4\u03c5\u03bd\u03b7\u03c4\u03b9\u03ba\u03cc &amp; \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc \u03ac\u03c0\u03b5\u03b9\u03c1\u03bf \u03c3\u03c4\u03b7\u03bd \u03b9\u03c3\u03c4\u03bf\u03c1\u03af\u03b1 \u03c4\u03c9\u03bd \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ce\u03bd &amp; \u03b7 \u03ba\u03b1\u03c4\u03b1\u03bd\u03cc\u03b7\u03c3\u03ae \u03c4\u03bf\u03c5\u03c2 \u03b1\u03c0\u03cc \u03c4\u03bf\u03bd \u03ac\u03bd\u03b8\u03c1\u03c9\u03c0\u03bf<\/strong><\/h2>\n\n\n\n<p>\u0397 \u03ba\u03b1\u03c4\u03b1\u03bd\u03cc\u03b7\u03c3\u03b7 \u03c4\u03bf\u03c5\n\u03b1\u03c0\u03b5\u03af\u03c1\u03bf\u03c5 \u03c3\u03c5\u03bd\u03b4\u03ad\u03b5\u03c4\u03b1\u03b9 \u03bc\u03b5 \u03b4\u03cd\u03bf \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03b5\u03c4\u03b9\u03ba\u03ad\u03c2 \u03ad\u03bd\u03bd\u03bf\u03b9\u03b5\u03c2, \u03c4\u03b7\u03bd \u03ad\u03bd\u03bd\u03bf\u03b9\u03b1 \u03c4\u03bf\u03c5 \u03b4\u03c5\u03bd\u03b7\u03c4\u03b9\u03ba\u03bf\u03cd \u03b1\u03c0\u03b5\u03af\u03c1\u03bf\u03c5\n\u03ba\u03b1\u03b9 \u03c4\u03b7\u03bd \u03ad\u03bd\u03bd\u03bf\u03b9\u03b1 \u03c4\u03bf\u03c5 \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03bf\u03cd \u03b1\u03c0\u03b5\u03af\u03c1\u03bf\u03c5 (Dubinsky, Weller, McDonald &amp; Brown, 2005; Fischbein, Tirosh &amp; Hess, 1979; Tall, 2001). \u03a4\u03bf \u03b4\u03c5\u03bd\u03b7\u03c4\u03b9\u03ba\u03cc \u03ac\u03c0\u03b5\u03b9\u03c1\u03bf \u03b5\u03ba\u03c6\u03c1\u03ac\u03b6\u03b5\u03b9 \u03bc\u03b9\u03b1 \u03c3\u03c5\u03bd\u03b5\u03c7\u03b9\u03b6\u03cc\u03bc\u03b5\u03bd\u03b7 \u03b4\u03b9\u03b1\u03b4\u03b9\u03ba\u03b1\u03c3\u03af\u03b1 \u03c7\u03c9\u03c1\u03af\u03c2\n\u03c4\u03ad\u03bb\u03bf\u03c2, \u03cc\u03c0\u03c9\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b3\u03b9\u03b1 \u03c0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1 \u03b7 \u03ba\u03b1\u03c4\u03b1\u03bc\u03ad\u03c4\u03c1\u03b7\u03c3\u03b7 \u03c4\u03c9\u03bd \u03c6\u03c5\u03c3\u03b9\u03ba\u03ce\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03ce\u03bd 1, 2, 3, \u2026 .\n\u0395\u03af\u03bd\u03b1\u03b9 \u03bc\u03b9\u03b1 \u03ac\u03c0\u03b5\u03b9\u03c1\u03b7 \u03b4\u03b9\u03b1\u03b4\u03b9\u03ba\u03b1\u03c3\u03af\u03b1 \u03cc\u03c0\u03bf\u03c5 \u03b4\u03b5\u03bd \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03c0\u03c1\u03bf\u03c3\u03b4\u03b9\u03bf\u03c1\u03b9\u03c3\u03c4\u03b5\u03af \u03bf\u03cd\u03c4\u03b5 \u03c4\u03bf \u03c4\u03ad\u03bb\u03bf\u03c2 \u03bf\u03cd\u03c4\u03b5\n\u03bf \u03c4\u03b5\u03bb\u03b5\u03c5\u03c4\u03b1\u03af\u03bf\u03c2 \u03cc\u03c1\u03bf\u03c2. \u0397 \u03ad\u03bd\u03bd\u03bf\u03b9\u03b1 \u03c4\u03bf\u03c5 \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03bf\u03cd \u03ac\u03c0\u03b5\u03b9\u03c1\u03bf\u03c5 \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03ac\u03bb\u03bb\u03b7 \u03b1\u03c0\u03bf\u03b4\u03af\u03b4\u03b5\u03b9 \u03bc\u03b9\u03b1\n\u03c0\u03b5\u03c0\u03b5\u03c1\u03b1\u03c3\u03bc\u03ad\u03bd\u03b7 \u03bf\u03bd\u03c4\u03cc\u03c4\u03b7\u03c4\u03b1 \u03c3\u03b5 \u03b1\u03c5\u03c4\u03ae \u03c4\u03b7\u03bd \u03ac\u03c0\u03b5\u03b9\u03c1\u03b7 \u03b4\u03b9\u03b1\u03b4\u03b9\u03ba\u03b1\u03c3\u03af\u03b1. \u0398\u03b1 \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03c3\u03b1\u03bc\u03b5 \u03bd\u03b1 \u03c0\u03bf\u03cd\u03bc\u03b5 \u03cc\u03c4\u03b9\n\u03c4\u03bf \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc \u03ac\u03c0\u03b5\u03b9\u03c1\u03bf \u03bf\u03c1\u03af\u03b6\u03b5\u03b9 \u03c4\u03b7\u03bd \u03ba\u03b1\u03c4\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7 \u03c3\u03c4\u03bf \u03ac\u03c0\u03b5\u03b9\u03c1\u03bf, \u03b5\u03bd\u03ce \u03c4\u03bf \u03b4\u03c5\u03bd\u03b7\u03c4\u03b9\u03ba\u03cc \u03ac\u03c0\u03b5\u03b9\u03c1\u03bf\n\u03bf\u03c1\u03af\u03b6\u03b5\u03b9 \u03c4\u03b7 \u03b4\u03b9\u03b1\u03b4\u03b9\u03ba\u03b1\u03c3\u03af\u03b1 \u03c0\u03bf\u03c5 \u03b4\u03b7\u03bc\u03b9\u03bf\u03c5\u03c1\u03b3\u03b5\u03af \u03c4\u03b7\u03bd \u03b1\u03c0\u03b5\u03b9\u03c1\u03af\u03b1. \u03a3\u03c4\u03b7\u03bd \u03b9\u03c3\u03c4\u03bf\u03c1\u03af\u03b1 \u03c4\u03b7\u03c2 \u03b1\u03bd\u03b8\u03c1\u03c9\u03c0\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2\n\u03ba\u03b1\u03b9 \u03c4\u03c9\u03bd \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ce\u03bd \u03b1\u03c5\u03c4\u03ad\u03c2 \u03bf\u03b9 \u03b4\u03cd\u03bf \u03bc\u03bf\u03c1\u03c6\u03ad\u03c2 \u03c4\u03bf\u03c5 \u03b1\u03c0\u03b5\u03af\u03c1\u03bf\u03c5 \u03c0\u03c1\u03bf\u03c3\u03b4\u03b9\u03bf\u03c1\u03af\u03c3\u03c4\u03b7\u03ba\u03b1\u03bd \u03b1\u03c0\u03cc \u03c4\u03bf\u03bd\n\u0391\u03c1\u03b9\u03c3\u03c4\u03bf\u03c4\u03ad\u03bb\u03b7. \u0391\u03c5\u03c4\u03cc\u03c2 \u03bf \u03c0\u03c1\u03bf\u03c3\u03b4\u03b9\u03bf\u03c1\u03b9\u03c3\u03bc\u03cc\u03c2 \u03ba\u03ad\u03c1\u03b4\u03b9\u03c3\u03b5 \u03c4\u03cc\u03c3\u03bf \u03bc\u03b5\u03b3\u03ac\u03bb\u03b7 \u03b1\u03bd\u03b1\u03b3\u03bd\u03ce\u03c1\u03b9\u03c3\u03b7 \u03ce\u03c3\u03c4\u03b5 \u03c0\u03b1\u03c1\u03ad\u03bc\u03b5\u03b9\u03bd\u03b5\n\u03bf\u03c5\u03c3\u03b9\u03b1\u03c3\u03c4\u03b9\u03ba\u03ac \u03b1\u03bc\u03b5\u03c4\u03ac\u03b2\u03bb\u03b7\u03c4\u03bf\u03c2 \u03bc\u03ad\u03c7\u03c1\u03b9 \u03c4\u03b1 \u03bc\u03ad\u03c3\u03b1 \u03c4\u03bf\u03c5 \u03b4\u03ad\u03ba\u03b1\u03c4\u03bf\u03c5 \u03ad\u03bd\u03b1\u03c4\u03bf\u03c5 \u03b1\u03b9\u03ce\u03bd\u03b1. <\/p>\n\n\n\n<p>\u039f \u0391\u03c1\u03b9\u03c3\u03c4\u03bf\u03c4\u03ad\u03bb\u03b7\u03c2 \u03b8\u03b5\u03ce\u03c1\u03b7\u03c3\u03b5 \u03cc\u03c4\u03b9 \u03c4\u03bf \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc \u03ac\u03c0\u03b5\u03b9\u03c1\u03bf \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03ba\u03b1\u03c4\u03b1\u03bd\u03cc\u03b7\u03c4\u03bf \u03b5\u03c0\u03b5\u03b9\u03b4\u03ae \u03b7\n\u03c5\u03c0\u03bf\u03ba\u03b5\u03af\u03bc\u03b5\u03bd\u03b7 \u03b4\u03b9\u03b1\u03b4\u03b9\u03ba\u03b1\u03c3\u03af\u03b1 \u03bc\u03b9\u03b1\u03c2 \u03c4\u03ad\u03c4\u03bf\u03b9\u03b1\u03c2 \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2 \u03b8\u03b1 \u03b1\u03c0\u03b1\u03b9\u03c4\u03bf\u03cd\u03c3\u03b5 \u03c4\u03bf \u03c3\u03cd\u03bd\u03bf\u03bb\u03bf \u03c4\u03bf\u03c5\n\u03c7\u03c1\u03cc\u03bd\u03bf\u03c5 (Dubinsky et al., 2005). \u0395\u03af\u03bd\u03b1\u03b9 \u03b1\u03b4\u03cd\u03bd\u03b1\u03c4\u03bf \u03bd\u03b1 \u03c3\u03c5\u03bb\u03bb\u03ac\u03b2\u03bf\u03c5\u03bc\u03b5 \u03c4\u03bf \u03ac\u03c0\u03b5\u03b9\u03c1\u03bf \u03c9\u03c2 \u03bf\u03bb\u03bf\u03ba\u03bb\u03b7\u03c1\u03c9\u03bc\u03ad\u03bd\u03b7 \u03bf\u03bb\u03cc\u03c4\u03b7\u03c4\u03b1,\n\u03b4\u03b9\u03cc\u03c4\u03b9 \u03b4\u03b5\u03bd \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03ba\u03b1\u03bd\u03b5\u03af\u03c2 \u03bd\u03b1 \u03c3\u03ba\u03b5\u03c6\u03c4\u03b5\u03af \u03bc\u03b9\u03b1 \u03c3\u03c5\u03bb\u03bb\u03bf\u03b3\u03ae \u03c3\u03c4\u03bf \u03c3\u03cd\u03bd\u03bf\u03bb\u03cc \u03c4\u03b7\u03c2 \u03c7\u03c9\u03c1\u03af\u03c2 \u03bd\u03b1 \u03b8\u03b5\u03c9\u03c1\u03b5\u03af\n\u03ba\u03b1\u03b8\u03ad\u03bd\u03b1 \u03b1\u03c0\u03cc \u03c4\u03b1 \u03c3\u03c4\u03bf\u03b9\u03c7\u03b5\u03af\u03b1 \u03c4\u03b7\u03c2, \u03b4\u03b7\u03bb\u03b1\u03b4\u03ae \u03c7\u03c9\u03c1\u03af\u03c2 \u03c4\u03b7 \u03c6\u03c5\u03c3\u03b9\u03ba\u03ae \u03ae \u03b4\u03b9\u03b1\u03bd\u03bf\u03b7\u03c4\u03b9\u03ba\u03ae \u03b5\u03ba\u03c4\u03ad\u03bb\u03b5\u03c3\u03b7 \u03ba\u03ac\u03b8\u03b5\n\u03b2\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2.<\/p>\n\n\n\n<p>\u0391\u03c0\u03cc \u03c4\u03bf\u03bd Bolzano (1781\u20131848) \u03ba\u03b1\u03b9 \u03bc\u03b5\u03c4\u03ac \u03b1\u03c1\u03c7\u03af\u03b6\u03b5\u03b9 \u03bf\u03c5\u03c3\u03b9\u03b1\u03c3\u03c4\u03b9\u03ba\u03ac \u03b7 \u03b1\u03c0\u03bf\u03b4\u03bf\u03c7\u03ae \u03c4\u03bf\u03c5 \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03bf\u03cd \u03b1\u03c0\u03b5\u03af\u03c1\u03bf\u03c5.\nO Georg Cantor (1915) \u03cc\u03bc\u03c9\u03c2 \u03b8\u03ad\u03c4\u03b5\u03b9 \u03c4\u03b1 \u03b8\u03b5\u03bc\u03ad\u03bb\u03b9\u03b1 \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03b1\u03c0\u03bf\u03b4\u03bf\u03c7\u03ae \u03c4\u03bf\u03c5 \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03bf\u03cd \u03b1\u03c0\u03b5\u03af\u03c1\u03bf\u03c5 \u03c0\u03ad\u03c1\u03b1\n\u03b1\u03c0\u03cc \u03c4\u03b9\u03c2 \u03b4\u03b9\u03b1\u03b9\u03c3\u03b8\u03b7\u03c4\u03b9\u03ba\u03ad\u03c2 \u03b5\u03be\u03b7\u03b3\u03ae\u03c3\u03b5\u03b9\u03c2 \u03ba\u03b1\u03b9 \u03b1\u03c0\u03bf\u03b4\u03af\u03b4\u03b5\u03b9 \u03c3\u03b5 \u03b1\u03c5\u03c4\u03cc \u03ad\u03bd\u03b1\u03bd \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc \u03bf\u03c1\u03b9\u03c3\u03bc\u03cc. <\/p>\n\n\n\n<p>\u039f\u03b9 \u03ad\u03c1\u03b5\u03c5\u03bd\u03b5\u03c2 \u03c0\u03bf\u03c5 \u03b5\u03be\u03b5\u03c4\u03ac\u03b6\u03bf\u03c5\u03bd \u03c4\u03b7\u03bd \u03ba\u03b1\u03c4\u03b1\u03bd\u03cc\u03b7\u03c3\u03b7 \u03c4\u03bf\u03c5 \u03b1\u03c0\u03b5\u03af\u03c1\u03bf\u03c5 (\u03c0.\u03c7. Fischbein, et al. 1979, Monaghan, 2001, Kolar, Cadez, 2012) \u03b4\u03b5\u03af\u03c7\u03bd\u03bf\u03c5\u03bd \u03cc\u03c4\u03b9 \u03c5\u03c0\u03ac\u03c1\u03c7\u03bf\u03c5\u03bd \u03ba\u03ac\u03c0\u03bf\u03b9\u03b5\u03c2 \u03c0\u03b1\u03c1\u03b1\u03bb\u03bb\u03b7\u03bb\u03af\u03b5\u03c2 \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03c4\u03b7\u03c2 \u03b9\u03c3\u03c4\u03bf\u03c1\u03b9\u03ba\u03ae\u03c2\n\u03b1\u03bd\u03ac\u03c0\u03c4\u03c5\u03be\u03b7\u03c2 \u03ba\u03b1\u03b9 \u03c4\u03b7\u03c2 \u03b1\u03bd\u03ac\u03c0\u03c4\u03c5\u03be\u03b7\u03c2 \u03c4\u03b7\u03c2 \u03ba\u03b1\u03c4\u03b1\u03bd\u03cc\u03b7\u03c3\u03b7\u03c2 \u03c4\u03bf\u03c5 \u03ac\u03c0\u03b5\u03b9\u03c1\u03bf\u03c5. \u03a6\u03b1\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03cc\u03c4\u03b9 \u03b7 \u03b1\u03bd\u03ac\u03c0\u03c4\u03c5\u03be\u03b7\n\u03c4\u03bf\u03c5 \u03b4\u03c5\u03bd\u03b7\u03c4\u03b9\u03ba\u03bf\u03cd \u03ac\u03c0\u03b5\u03b9\u03c1\u03bf\u03c5 \u03b5\u03af\u03bd\u03b1\u03b9 \u03ad\u03bd\u03b1\u03c2 \u03c0\u03c1\u03bf\u03ba\u03ac\u03c4\u03bf\u03c7\u03bf\u03c2 \u03c4\u03b7\u03c2 \u03b1\u03bd\u03ac\u03c0\u03c4\u03c5\u03be\u03b7\u03c2 \u03c4\u03bf\u03c5 \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03bf\u03cd\n\u03ac\u03c0\u03b5\u03b9\u03c1\u03bf\u03c5. \u03a4\u03b1 \u03c0\u03c1\u03bf\u03b2\u03bb\u03ae\u03bc\u03b1\u03c4\u03b1 \u03c0\u03bf\u03c5 \u03c0\u03c1\u03bf\u03ba\u03cd\u03c0\u03c4\u03bf\u03c5\u03bd \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03b1\u03bd\u03bf\u03bc\u03bf\u03b9\u03bf\u03b3\u03ad\u03bd\u03b5\u03b9\u03b1 \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03bf\u03cd\n\u03ba\u03b1\u03b9 \u03b4\u03c5\u03bd\u03b7\u03c4\u03b9\u03ba\u03bf\u03cd \u03ac\u03c0\u03b5\u03b9\u03c1\u03bf\u03c5 &#8211; \u03c4\u03b1 \u03c0\u03c1\u03bf\u03b2\u03bb\u03ae\u03bc\u03b1\u03c4\u03b1 \u03c0\u03bf\u03c5 \u03c5\u03c0\u03ae\u03c1\u03c7\u03b1\u03bd \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03b5\u03c0\u03bf\u03c7\u03ae \u03c4\u03bf\u03c5 \u0391\u03c1\u03b9\u03c3\u03c4\u03bf\u03c4\u03ad\u03bb\u03b7\n&#8211; \u03b5\u03be\u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03bf\u03cd\u03bd \u03bd\u03b1 \u03b9\u03c3\u03c7\u03cd\u03bf\u03c5\u03bd \u03ba\u03b1\u03b9 \u03c3\u03ae\u03bc\u03b5\u03c1\u03b1, \u03c4\u03cc\u03c3\u03bf \u03b3\u03b9\u03b1 \u03c4\u03bf\u03c5\u03c2 \u03bc\u03b1\u03b8\u03b7\u03c4\u03ad\u03c2 \u03cc\u03c3\u03bf \u03ba\u03b1\u03b9 \u03b3\u03b9\u03b1 \u03c4\u03bf\u03c5\u03c2\n\u03b5\u03ba\u03c0\u03b1\u03b9\u03b4\u03b5\u03c5\u03c4\u03b9\u03ba\u03bf\u03cd\u03c2. <\/p>\n\n\n\n<p><a><strong>\u0392\u03b9\u03b2\u03bb\u03b9\u03bf\u03b3\u03c1\u03b1\u03c6\u03af\u03b1<\/strong><\/a> <\/p>\n\n\n\n<p>Cantor,\nG. (1915). Contributions to the founding of the theory of transfinite numbers\n(P. E. B. Jourdain, Trans.). New York: Dover (Original work published 1895).<\/p>\n\n\n\n<p>Dubinsky, E., Weller, K.,\nMcdonald, M. A., &amp; Brown, A. (2005). Some historical issues and paradoxes\nregarding the concept of infinity: An Apos-Based analysis: Part 1.&nbsp;<em>Educational\nstudies in mathematics<\/em>,&nbsp;<em>58<\/em>(3), 335-359.<\/p>\n\n\n\n<p><a>Fischbein,<\/a> E.,\nTirosh, D., &amp; Hess, P. (1979). The intuition of infinity. <a><em>Educational Studies\nin Mathematics, <\/em><\/a><em>10<\/em>, 3\u201340.<\/p>\n\n\n\n<p><a>Kolar\nVM, Cadez TH. (2012<\/a>). Analysis of factors influencing the\nunderstanding of the concept of infinity. <em>Educational Studies in\nMathematics, 80<\/em>(3):389\u2013412.<\/p>\n\n\n\n<p>Monaghan, J. (2001). Young\npeoples&#8217; ideas of infinity.&nbsp;<em>Educational Studies in Mathematics<\/em>,&nbsp;<em>48<\/em>(2-3),\n239-257.<\/p>\n\n\n\n<p>Tall, D. (2001).\nNatural and formal infinities. <em>Educational Studies in Mathematics, 48<\/em>,\n199-238.<\/p>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u039a\u03b1\u03b8\u03b7\u03b3\u03b7\u03c4\u03ae\u03c2 \u039c\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ce\u03bd, \u03a0\u03b1\u03bd\u03b5\u03c0\u03b9\u03c3\u03c4\u03ae\u03bc\u03b9\u03bf \u0394\u03c5\u03c4\u03b9\u03ba\u03ae\u03c2 \u039c\u03b1\u03ba\u03b5\u03b4\u03bf\u03bd\u03af\u03b1\u03c2 xlemon@uowm.gr \u0394\u03b7\u03bc\u03ae\u03c4\u03c1\u03b7\u03c2 \u039a\u03b1\u03c1\u03b1\u03b3\u03b9\u03ac\u03bd\u03bd\u03b7\u03c2 \u039c\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc\u03c2, \u0394\u03b9\u03b5\u03c5\u03b8\u03c5\u03bd\u03c4\u03ae\u03c2 \u039c\u03b1\u03bd\u03bf\u03c5\u03c3\u03ac\u03ba\u03b5\u03b9\u03bf\u03c5 (1\u03bf\u03c5) \u0395\u03c0\u03b1\u03b3\u03b3\u03b5\u03bb\u03bc\u03b1\u03c4\u03b9\u03ba\u03bf\u03cd \u039b\u03c5\u03ba\u03b5\u03af\u03bf\u03c5 \u0394\u03b5\u03c3\u03ba\u03ac\u03c4\u03b7\u03c2 d.karajannis@yahoo.gr \u03a4\u03bf \u03b4\u03c5\u03bd\u03b7\u03c4\u03b9\u03ba\u03cc &amp; \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc \u03ac\u03c0\u03b5\u03b9\u03c1\u03bf \u03c3\u03c4\u03b7\u03bd \u03b9\u03c3\u03c4\u03bf\u03c1\u03af\u03b1 \u03c4\u03c9\u03bd \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ce\u03bd &amp; \u03b7 \u03ba\u03b1\u03c4\u03b1\u03bd\u03cc\u03b7\u03c3\u03ae \u03c4\u03bf\u03c5\u03c2 \u03b1\u03c0\u03cc \u03c4\u03bf\u03bd \u03ac\u03bd\u03b8\u03c1\u03c9\u03c0\u03bf \u0397 \u03ba\u03b1\u03c4\u03b1\u03bd\u03cc\u03b7\u03c3\u03b7 \u03c4\u03bf\u03c5 \u03b1\u03c0\u03b5\u03af\u03c1\u03bf\u03c5 \u03c3\u03c5\u03bd\u03b4\u03ad\u03b5\u03c4\u03b1\u03b9 \u03bc\u03b5 \u03b4\u03cd\u03bf \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03b5\u03c4\u03b9\u03ba\u03ad\u03c2 \u03ad\u03bd\u03bd\u03bf\u03b9\u03b5\u03c2, \u03c4\u03b7\u03bd \u03ad\u03bd\u03bd\u03bf\u03b9\u03b1 \u03c4\u03bf\u03c5 \u03b4\u03c5\u03bd\u03b7\u03c4\u03b9\u03ba\u03bf\u03cd \u03b1\u03c0\u03b5\u03af\u03c1\u03bf\u03c5 \u03ba\u03b1\u03b9 \u03c4\u03b7\u03bd \u03ad\u03bd\u03bd\u03bf\u03b9\u03b1 \u03c4\u03bf\u03c5 \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03bf\u03cd \u03b1\u03c0\u03b5\u03af\u03c1\u03bf\u03c5 (Dubinsky, Weller, McDonald [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"jetpack_post_was_ever_published":false,"footnotes":""},"class_list":["post-225","page","type-page","status-publish","hentry"],"jetpack_shortlink":"https:\/\/wp.me\/PaHFmL-3D","_links":{"self":[{"href":"http:\/\/synathena.gr\/epistemology3\/index.php?rest_route=\/wp\/v2\/pages\/225","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/synathena.gr\/epistemology3\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/synathena.gr\/epistemology3\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/synathena.gr\/epistemology3\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/synathena.gr\/epistemology3\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=225"}],"version-history":[{"count":1,"href":"http:\/\/synathena.gr\/epistemology3\/index.php?rest_route=\/wp\/v2\/pages\/225\/revisions"}],"predecessor-version":[{"id":226,"href":"http:\/\/synathena.gr\/epistemology3\/index.php?rest_route=\/wp\/v2\/pages\/225\/revisions\/226"}],"wp:attachment":[{"href":"http:\/\/synathena.gr\/epistemology3\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=225"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}