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	<id>http://148.72.144.226/plesk-site-preview/en.anthro.wiki/https/148.72.144.226/index.php?action=history&amp;feed=atom&amp;title=Mathematics</id>
	<title>Mathematics - Revision history</title>
	<link rel="self" type="application/atom+xml" href="http://148.72.144.226/plesk-site-preview/en.anthro.wiki/https/148.72.144.226/index.php?action=history&amp;feed=atom&amp;title=Mathematics"/>
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	<updated>2026-08-08T02:28:08Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>http://148.72.144.226/plesk-site-preview/en.anthro.wiki/https/148.72.144.226/index.php?title=Mathematics&amp;diff=8876&amp;oldid=prev</id>
		<title>Odyssee: Odyssee moved page Mathematician to Mathematics</title>
		<link rel="alternate" type="text/html" href="http://148.72.144.226/plesk-site-preview/en.anthro.wiki/https/148.72.144.226/index.php?title=Mathematics&amp;diff=8876&amp;oldid=prev"/>
		<updated>2022-01-30T00:37:00Z</updated>

		<summary type="html">&lt;p&gt;Odyssee moved page &lt;a href=&quot;/Mathematician&quot; class=&quot;mw-redirect&quot; title=&quot;Mathematician&quot;&gt;Mathematician&lt;/a&gt; to &lt;a href=&quot;/Mathematics&quot; title=&quot;Mathematics&quot;&gt;Mathematics&lt;/a&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 00:37, 30 January 2022&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-notice&quot; lang=&quot;en&quot;&gt;&lt;div class=&quot;mw-diff-empty&quot;&gt;(No difference)&lt;/div&gt;
&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;</summary>
		<author><name>Odyssee</name></author>
	</entry>
	<entry>
		<id>http://148.72.144.226/plesk-site-preview/en.anthro.wiki/https/148.72.144.226/index.php?title=Mathematics&amp;diff=8874&amp;oldid=prev</id>
		<title>Odyssee at 00:33, 30 January 2022</title>
		<link rel="alternate" type="text/html" href="http://148.72.144.226/plesk-site-preview/en.anthro.wiki/https/148.72.144.226/index.php?title=Mathematics&amp;diff=8874&amp;oldid=prev"/>
		<updated>2022-01-30T00:33:18Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 00:33, 30 January 2022&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;#039;&amp;#039;&amp;#039;Mathematics&amp;#039;&amp;#039;&amp;#039; ({{Greek|μαθηματική τέχνη}} &amp;#039;&amp;#039;mathēmatikē téchnē&amp;#039;&amp;#039;: &amp;quot;the art of learning, belonging to learning&amp;quot; or {{lang|grc|μανθάνω}} &amp;#039;&amp;#039;manthánō&amp;#039;&amp;#039;: &amp;quot;I learn&amp;quot;) is that science which seeks to fathom the laws of numbers and geometrical figures through [[pure thinking]] with inner, self-sustaining certainty.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;#039;&amp;#039;&amp;#039;Mathematics&amp;#039;&amp;#039;&amp;#039; ({{Greek|μαθηματική τέχνη}} &amp;#039;&amp;#039;mathēmatikē téchnē&amp;#039;&amp;#039;: &amp;quot;the art of learning, belonging to learning&amp;quot; or {{lang|grc|μανθάνω}} &amp;#039;&amp;#039;manthánō&amp;#039;&amp;#039;: &amp;quot;I learn&amp;quot;) is that science which seeks to fathom the laws of numbers and geometrical figures through [[pure thinking]] with inner, self-sustaining certainty.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;According to [[Rudolf Steiner]], mathematics is the first stage of supersensible perception. For this reason, the [[Gnostics]] also conceived of their [[mysticism]] as [[mathesis]], because the same clarity of thought as in mathematics should also prevail in spiritual cognition.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;According to [[Rudolf Steiner]], mathematics is the first stage of &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[&lt;/ins&gt;supersensible perception&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]]&lt;/ins&gt;. For this reason, the [[Gnostics]] also conceived of their [[mysticism]] as [[mathesis]], because the same clarity of thought as in mathematics should also prevail in &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[&lt;/ins&gt;spiritual cognition&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]]&lt;/ins&gt;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== Literatur ==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== Literatur ==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Odyssee</name></author>
	</entry>
	<entry>
		<id>http://148.72.144.226/plesk-site-preview/en.anthro.wiki/https/148.72.144.226/index.php?title=Mathematics&amp;diff=8872&amp;oldid=prev</id>
		<title>Odyssee: Created page with &quot;&#039;&#039;&#039;Mathematics&#039;&#039;&#039; ({{Greek|μαθηματική τέχνη}} &#039;&#039;mathēmatikē téchnē&#039;&#039;: &quot;the art of learning, belonging to learning&quot; or {{lang|grc|μανθάνω}} &#039;&#039;manthán...&quot;</title>
		<link rel="alternate" type="text/html" href="http://148.72.144.226/plesk-site-preview/en.anthro.wiki/https/148.72.144.226/index.php?title=Mathematics&amp;diff=8872&amp;oldid=prev"/>
		<updated>2022-01-30T00:29:54Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;&amp;#039;&amp;#039;&amp;#039;Mathematics&amp;#039;&amp;#039;&amp;#039; ({{Greek|μαθηματική τέχνη}} &amp;#039;&amp;#039;mathēmatikē téchnē&amp;#039;&amp;#039;: &amp;quot;the art of learning, belonging to learning&amp;quot; or {{lang|grc|μανθάνω}} &amp;#039;&amp;#039;manthán...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&amp;#039;&amp;#039;&amp;#039;Mathematics&amp;#039;&amp;#039;&amp;#039; ({{Greek|μαθηματική τέχνη}} &amp;#039;&amp;#039;mathēmatikē téchnē&amp;#039;&amp;#039;: &amp;quot;the art of learning, belonging to learning&amp;quot; or {{lang|grc|μανθάνω}} &amp;#039;&amp;#039;manthánō&amp;#039;&amp;#039;: &amp;quot;I learn&amp;quot;) is that science which seeks to fathom the laws of numbers and geometrical figures through [[pure thinking]] with inner, self-sustaining certainty.&lt;br /&gt;
&lt;br /&gt;
According to [[Rudolf Steiner]], mathematics is the first stage of supersensible perception. For this reason, the [[Gnostics]] also conceived of their [[mysticism]] as [[mathesis]], because the same clarity of thought as in mathematics should also prevail in spiritual cognition.&lt;br /&gt;
&lt;br /&gt;
== Literatur ==&lt;br /&gt;
&lt;br /&gt;
* [[w:Moritz Cantor|Moritz Cantor]]: &amp;#039;&amp;#039;Vorlesungen über Geschichte der Mathematik&amp;#039;&amp;#039;, Druck und Verlag von B. G. Teubner, Leipzig [https://archive.org/details/vorlesungenber01cantuoft Band 1] (1894), [https://archive.org/details/vorlesungenber02cantuoft Band 2] (1900), [https://archive.org/details/vorlesungenber03cantuoft Band 3] (1901), [https://archive.org/details/vorlesungenber04cantuoft Band 4] (1908)&lt;br /&gt;
* Tilo Arens, Frank Hettlich, Christian Karpfinger, Ulrich Kockelkorn, Klaus Lichtenegger, Hellmuth Stachel: &amp;#039;&amp;#039;Mathematik&amp;#039;&amp;#039;, 4. Auflage, Springer Spektrum 2018, ISBN 978-3662567401, eBook ISBN 978-3-662-56741-8&lt;br /&gt;
* Josef Honerkamp: &amp;#039;&amp;#039;Denken in Strukturen und seine Geschichte - Von der Kraft des mathematischen Beweises&amp;#039;&amp;#039;, Springer Verlag 2018, ISBN 978-3-662-56376-2, eBook ISBN 978-3-662-56377-9&lt;br /&gt;
* Mario Livio, Susanne Kuhlmann-Krieg: &amp;#039;&amp;#039;Ist Gott ein Mathematiker?: Warum das Buch der Natur in der Sprache der Mathematik geschrieben ist&amp;#039;&amp;#039;, dtv Verlagsgesellchaft 2014, ISBN 978-3423348003, eBook {{ASIN|B007GGK78Q}}&lt;br /&gt;
* Ernst Schuberth: &amp;#039;&amp;#039;Der Anfangsunterricht in der Mathematik an Waldorfschulen. Aufbau, fachliche Grundlagen und menschenkundliche Gesichtspunkte&amp;#039;&amp;#039;, Verlag Freies Geistesleben, Stuttgart 2011, ISBN 978-3-7725-2563-6&lt;br /&gt;
* Ernst Schuberth: &amp;#039;&amp;#039;Der Mathematikunterricht in der 6. Klasse an Waldorfschulen. Teil 1: Vom Rechnen zur Algebra&amp;#039;&amp;#039;, Verlag Freies Geistesleben, Stuttgart 1995, ISBN 978-3772502668&lt;br /&gt;
* Ernst Schuberth: &amp;#039;&amp;#039;Der Mathematikunterricht in der 3.Klasse&amp;#039;&amp;#039;, Verlag Freies Geistesleben, Stuttgart 2016, ISBN 978-3-7725-2592-6&lt;br /&gt;
* Arnold Bernhard: &amp;#039;&amp;#039;Algebra: Für die siebte und achte Klasse an Waldorfschulen&amp;#039;&amp;#039;, Verlag Freies Geistesleben, Stuttgart 1996, ISBN 978-3772502521&lt;br /&gt;
* Bengt Ulin: &amp;#039;&amp;#039;Der Lösung auf der Spur. Ziele und Methoden des Mathematikunterrichts. Erfahrungen aus der Waldorfpädagogik&amp;#039;&amp;#039;, Verlag Freies Geistesleben, Stuttgart 1987, ISBN 978-3772502484&lt;br /&gt;
* Gerhard Kowol: &amp;#039;&amp;#039;Gleichungen: Eine historisch-phänomenologische Studie&amp;#039;&amp;#039;, Verlag Freies Geistesleben, Stuttgart 1990, ISBN 978-3772509292&lt;br /&gt;
* [[Ernst Bindel]]: &amp;#039;&amp;#039;Die geistigen Grundlagen der Zahlen. Die Zahl im Spiegel der Kulturen. Elemente einer spirituellen Geometrie und Arithmetik&amp;#039;&amp;#039;, Freies Geistesleben, Stuttgart 2003, ISBN 3-7725-1251-8&lt;br /&gt;
* [[Renatus Ziegler]]: &amp;#039;&amp;#039;Mathematik und Geisteswissenschaft: Mathematische Einführung in die Philosophie als Geisteswissenschaft in Anknüpfung an Plato, Cusanus, Goethe, Hegel und Steiner&amp;#039;&amp;#039;, Verlag am Goetheanum, Dornach 1992, ISBN 978-3723506455&lt;br /&gt;
* [[Rudolf Steiner]]: &amp;#039;&amp;#039;Fachwissenschaften und Anthroposophie&amp;#039;&amp;#039;, [[GA 73a]] (2005), ISBN 3-7274-0735-2 {{Lectures|073a}}&lt;br /&gt;
* [[Rudolf Steiner]]: &amp;#039;&amp;#039;Die Aufgabe der Anthroposophie gegenüber Wissenschaft und Leben&amp;#039;&amp;#039;, [[GA 77a]] (1997), ISBN 3-7274-0771-9 {{Lectures|077a}}&lt;br /&gt;
* [[Rudolf Steiner]]: &amp;#039;&amp;#039;Damit der Mensch ganz Mensch werde&amp;#039;&amp;#039;, [[GA 82]] (1994), ISBN 3-7274-0820-0 {{Lectures|082}}&lt;br /&gt;
* [[Rudolf Steiner]]: &amp;#039;&amp;#039;Die Erkenntnis-Aufgabe der Jugend&amp;#039;&amp;#039;, [[GA 217a]] (1981), ISBN 3-7274-2175-4 {{Lectures|217a}}&lt;br /&gt;
* &amp;#039;&amp;#039;[[Beiträge zur Rudolf Steiner Gesamtausgabe]]&amp;#039;&amp;#039;, Heft 114/115, Dornach 1995&lt;br /&gt;
&lt;br /&gt;
{{GA}}&lt;br /&gt;
&lt;br /&gt;
[[Category:Mathematics]]&lt;br /&gt;
[[de:Mathematik]]&lt;/div&gt;</summary>
		<author><name>Odyssee</name></author>
	</entry>
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