{"id":664,"date":"2017-05-30T07:47:10","date_gmt":"2017-05-30T05:47:10","guid":{"rendered":"http:\/\/theory-of-science.com\/de\/?page_id=664"},"modified":"2021-02-04T16:43:24","modified_gmt":"2021-02-04T15:43:24","slug":"uebung-15-06","status":"publish","type":"page","link":"https:\/\/theory-of-science.com\/de\/uebungen\/abschnitt-15\/uebung-15-06\/","title":{"rendered":"\u00dc15-6: Hinzugenommene Relationen"},"content":{"rendered":"\n<p>Sei <em>x<\/em> =&nbsp;\u2329 <em>G<\/em><sub>1<\/sub>, &#8230;, <em>G<\/em><sub>\u03ba<\/sub>, <em>A<\/em><sub>1<\/sub>, &#8230;, <em>A<\/em><sub>\u03bc<\/sub>, <em>R<\/em><sub>1<\/sub>, &#8230;, <em>R<\/em><sub>\u03bd<\/sub>&nbsp;\u232a ein Modell f\u00fcr eine Theorie <em>T<\/em>. Wir f\u00fcgen dem Modell eine zus\u00e4tzliche Relation <em>R<\/em> &#8218; hinzu: <em>x<\/em> &#8218; = \u2329 <em>G<\/em><sub>1<\/sub>, &#8230;, <em>G<\/em><sub>\u03ba<\/sub>, <em>A<\/em><sub>1<\/sub>, &#8230;, <em>A<\/em><sub>\u03bc<\/sub>, <em>R<\/em><sub>1<\/sub>, &#8230;, <em>R<\/em><sub>\u03bd<\/sub>, <em>R <\/em>&#8218; \u232a.<\/p>\n\n\n\n<p><strong>a)<\/strong> Typisieren Sie <em>R<\/em> &#8218; so, dass <em>R<\/em> &#8218; ein Element aus einer Potenzmenge von&nbsp;<em>G<\/em><sub>1<\/sub>&nbsp;\u00d7 &#8230;&nbsp;\u00d7&nbsp;<em>G<\/em><sub>\u03ba<\/sub> ist. Formulieren Sie die Typisierung \u03c4 &#8218; ( <em>G<\/em><sub>1<\/sub>, &#8230;, <em>A<\/em><sub>\u03bc<\/sub> ) f\u00fcr <em>R<\/em> &#8218; im Detail.<\/p>\n\n\n\n<p><strong>b)<\/strong> F\u00fcgen Sie dem Modell die Hypothese (H1) hinzu, welche besagt, dass <em>R<\/em> &#8218; mit&nbsp;<em>G<\/em><sub>1<\/sub>&nbsp;\u00d7 &#8230;&nbsp;\u00d7&nbsp;<em>G<\/em><sub>\u03ba<\/sub> identisch ist.<\/p>\n\n\n\n<p><strong>c)<\/strong> Ersetzen Sie die Hypothese (H1) durch die Hypothese (H2) <em>R<\/em> &#8218;&nbsp;\u2260 <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/theory-of-science.com\/de\/wp-content\/ql-cache\/quicklatex.com-54833ab836cd28d9f1e2a624abe97b08_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#101;&#109;&#112;&#116;&#121;&#115;&#101;&#116;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"7\" style=\"vertical-align: -2px;\"\/> und <em>R<\/em> &#8218;&nbsp;\u2208 \u03c4 &#8218; ( <em>G<\/em><sub>1<\/sub>, &#8230;, <em>A<\/em><sub>\u03bc<\/sub> ).<\/p>\n\n\n\n<p><strong>d)<\/strong> Interpretieren Sie die beiden so beschriebenen M\u00f6glichkeiten inhaltlich.<br><\/p>\n\n\n<ul class=\"nav nav-pills nav-justified\">\n<li><a href=\"https:\/\/theory-of-science.com\/de\/uebungen\/abschnitt-15\/uebung-15-05\/\">&lt;&lt;&lt;<\/a><\/li>\n<li><a href=\"https:\/\/theory-of-science.com\/de\/uebungen\/abschnitt-15\/uebung-15-07\/\">&gt;&gt;&gt;<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Sei x =&nbsp;\u2329 G1, &#8230;, G\u03ba, A1, &#8230;, A\u03bc, R1, &#8230;, R\u03bd&nbsp;\u232a ein Modell f\u00fcr eine Theorie T. Wir f\u00fcgen dem Modell eine zus\u00e4tzliche Relation R &#8218; hinzu: x &#8218; = \u2329 G1, &#8230;, G\u03ba, A1, &#8230;, A\u03bc, R1, &#8230;, R\u03bd, R &#8218; \u232a. a) Typisieren Sie R &#8218; so, dass R &#8218; ein Element [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":76,"menu_order":6,"comment_status":"closed","ping_status":"closed","template":"page-fullwidth.php","meta":{"footnotes":""},"class_list":["post-664","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/theory-of-science.com\/de\/wp-json\/wp\/v2\/pages\/664","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/theory-of-science.com\/de\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/theory-of-science.com\/de\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/theory-of-science.com\/de\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/theory-of-science.com\/de\/wp-json\/wp\/v2\/comments?post=664"}],"version-history":[{"count":9,"href":"https:\/\/theory-of-science.com\/de\/wp-json\/wp\/v2\/pages\/664\/revisions"}],"predecessor-version":[{"id":4484,"href":"https:\/\/theory-of-science.com\/de\/wp-json\/wp\/v2\/pages\/664\/revisions\/4484"}],"up":[{"embeddable":true,"href":"https:\/\/theory-of-science.com\/de\/wp-json\/wp\/v2\/pages\/76"}],"wp:attachment":[{"href":"https:\/\/theory-of-science.com\/de\/wp-json\/wp\/v2\/media?parent=664"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}