Schröder, Ernst: Vorlesungen über die Algebra der Logik. Bd. 2, Abt. 1. Leipzig, 1891.Achtzehnte Vorlesung. XII0. Additionstabelle bei Ausschluss undeutiger Symbole.
Achtzehnte Vorlesung. XII0. Additionstabelle bei Ausschluss undeutiger Symbole.
<TEI> <text> <body> <div n="1"> <div n="2"> <div n="3"> <p> <pb facs="#f0154" n="130"/> <fw place="top" type="header">Achtzehnte Vorlesung.</fw><lb/> <hi rendition="#c">XII<hi rendition="#sup">0</hi>. <hi rendition="#g">Additionstabelle bei Ausschluss undeutiger Symbole</hi>.</hi><lb/> <table> <row> <cell>——————,</cell> <cell><hi rendition="#i">a</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">b</hi> = <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> = etc.,</cell> <cell><hi rendition="#i">a</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">c</hi> = <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> = etc.,</cell> <cell><hi rendition="#i">a</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">d</hi> = <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> = etc.,</cell> <cell><hi rendition="#i">a</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">e</hi> = <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> = etc.,</cell> <cell><hi rendition="#i">a</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">f</hi> = <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> = etc.,</cell> <cell><hi rendition="#i">a</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">g</hi> = <hi rendition="#i">a</hi><hi rendition="#sub">1</hi> = etc.,</cell> </row><lb/> <row> <cell><hi rendition="#i">a</hi> + <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> = <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> = <hi rendition="#i">a</hi> + <hi rendition="#i">f</hi> + <hi rendition="#i">g</hi>,</cell> <cell>——————,</cell> <cell><hi rendition="#i">b</hi> + <hi rendition="#i">c</hi> = <hi rendition="#i">d</hi> + <hi rendition="#i">e</hi> + <hi rendition="#i">f</hi>,</cell> <cell><hi rendition="#i">b</hi> + <hi rendition="#i">d</hi> = <hi rendition="#i">b</hi> = <hi rendition="#i">d</hi> + <hi rendition="#i">e</hi>,</cell> <cell><hi rendition="#i">b</hi> + <hi rendition="#i">e</hi> = <hi rendition="#i">b</hi> = <hi rendition="#i">d</hi> + <hi rendition="#i">e</hi>,</cell> <cell><hi rendition="#i">b</hi> + <hi rendition="#i">f</hi> = <hi rendition="#i">d</hi> + <hi rendition="#i">e</hi> + <hi rendition="#i">f</hi>,</cell> <cell><hi rendition="#i">b</hi> + <hi rendition="#i">g</hi> = <hi rendition="#i">d</hi> + <hi rendition="#i">e</hi> + <hi rendition="#i">g</hi>,</cell> </row><lb/> <row> <cell><hi rendition="#i">a</hi> + <hi rendition="#i">c</hi><hi rendition="#sub">1</hi> = <hi rendition="#i">c</hi><hi rendition="#sub">1</hi> = <hi rendition="#i">a</hi> + <hi rendition="#i">e</hi> + <hi rendition="#i">g</hi>,</cell> <cell><hi rendition="#i">b</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">c</hi><hi rendition="#sub">1</hi> = <hi rendition="#i">d</hi><hi rendition="#sub">1</hi> = etc.,</cell> <cell>——————,</cell> <cell><hi rendition="#i">c</hi> + <hi rendition="#i">d</hi> = <hi rendition="#i">c</hi> = <hi rendition="#i">d</hi> + <hi rendition="#i">f</hi>,</cell> <cell><hi rendition="#i">c</hi> + <hi rendition="#i">e</hi> = <hi rendition="#i">d</hi> + <hi rendition="#i">e</hi> + <hi rendition="#i">f</hi>,</cell> <cell><hi rendition="#i">c</hi> + <hi rendition="#i">f</hi> = <hi rendition="#i">c</hi> = <hi rendition="#i">d</hi> + <hi rendition="#i">f</hi>,</cell> <cell><hi rendition="#i">c</hi> + <hi rendition="#i">g</hi> = <hi rendition="#i">d</hi> + <hi rendition="#i">f</hi> + <hi rendition="#i">g</hi>,</cell> </row><lb/> <row> <cell><hi rendition="#i">a</hi> + <hi rendition="#i">d</hi><hi rendition="#sub">1</hi> = <hi rendition="#i">d</hi><hi rendition="#sub">1</hi> = etc.,</cell> <cell><hi rendition="#i">b</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">d</hi><hi rendition="#sub">1</hi> = <hi rendition="#i">d</hi><hi rendition="#sub">1</hi> = etc.,</cell> <cell><hi rendition="#i">c</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">d</hi><hi rendition="#sub">1</hi> = <hi rendition="#i">d</hi><hi rendition="#sub">1</hi> = etc.,</cell> <cell>——————,</cell> <cell><hi rendition="#i">d</hi> + <hi rendition="#i">e</hi> = <hi rendition="#i">b</hi> = <hi rendition="#i">d</hi> + <hi rendition="#i">e</hi>,</cell> <cell><hi rendition="#i">d</hi> + <hi rendition="#i">f</hi> = <hi rendition="#i">c</hi> = <hi rendition="#i">d</hi> + <hi rendition="#i">f</hi>,</cell> <cell><hi rendition="#i">d</hi> + <hi rendition="#i">g</hi> = <hi rendition="#i">d</hi> + <hi rendition="#i">g</hi>,</cell> </row><lb/> <row> <cell><hi rendition="#i">a</hi> + <hi rendition="#i">e</hi><hi rendition="#sub">1</hi> = <hi rendition="#i">e</hi><hi rendition="#sub">1</hi> = etc.,</cell> <cell><hi rendition="#i">b</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">e</hi><hi rendition="#sub">1</hi> = <hi rendition="#i">e</hi><hi rendition="#sub">1</hi> = etc.,</cell> <cell><hi rendition="#i">c</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">e</hi><hi rendition="#sub">1</hi> = i,</cell> <cell><hi rendition="#i">d</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">e</hi><hi rendition="#sub">1</hi> = i,</cell> <cell>——————,</cell> <cell><hi rendition="#i">e</hi> + <hi rendition="#i">f</hi> = <hi rendition="#i">e</hi> + <hi rendition="#i">f</hi>,</cell> <cell><hi rendition="#i">e</hi> + <hi rendition="#i">g</hi> = <hi rendition="#i">e</hi> + <hi rendition="#i">g</hi>,</cell> </row><lb/> <row> <cell><hi rendition="#i">a</hi> + <hi rendition="#i">f</hi><hi rendition="#sub">1</hi> = <hi rendition="#i">f</hi><hi rendition="#sub">1</hi> = etc.,</cell> <cell><hi rendition="#i">b</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">f</hi><hi rendition="#sub">1</hi> = i,</cell> <cell><hi rendition="#i">c</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">f</hi><hi rendition="#sub">1</hi> = <hi rendition="#i">f</hi><hi rendition="#sub">1</hi> = etc.,</cell> <cell><hi rendition="#i">d</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">f</hi><hi rendition="#sub">1</hi> = i,</cell> <cell><hi rendition="#i">e</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">f</hi><hi rendition="#sub">1</hi> = i,</cell> <cell>——————,</cell> <cell><hi rendition="#i">f</hi> + <hi rendition="#i">g</hi> = <hi rendition="#i">f</hi> + <hi rendition="#i">g</hi>,</cell> </row><lb/> <row> <cell><hi rendition="#i">a</hi> + <hi rendition="#i">g</hi><hi rendition="#sub">1</hi> = <hi rendition="#i">g</hi><hi rendition="#sub">1</hi> = etc.,</cell> <cell><hi rendition="#i">b</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">g</hi><hi rendition="#sub">1</hi> = i,</cell> <cell><hi rendition="#i">c</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">g</hi><hi rendition="#sub">1</hi> = i,</cell> <cell><hi rendition="#i">d</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">g</hi><hi rendition="#sub">1</hi> = i,</cell> <cell><hi rendition="#i">e</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">g</hi><hi rendition="#sub">1</hi> = i,</cell> <cell><hi rendition="#i">f</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">g</hi><hi rendition="#sub">1</hi> = i,</cell> <cell>——————,</cell> </row><lb/> <row> <cell>——————,</cell> <cell><hi rendition="#i">a</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> = i,</cell> <cell><hi rendition="#i">a</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">c</hi><hi rendition="#sub">1</hi> = i,</cell> <cell><hi rendition="#i">a</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">d</hi><hi rendition="#sub">1</hi> = i,</cell> <cell><hi rendition="#i">a</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">e</hi><hi rendition="#sub">1</hi> = i,</cell> <cell><hi rendition="#i">a</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">f</hi><hi rendition="#sub">1</hi> = i,</cell> <cell><hi rendition="#i">a</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">g</hi><hi rendition="#sub">1</hi> = i,</cell> </row><lb/> <row> <cell><hi rendition="#i">a</hi> + <hi rendition="#i">b</hi> = <hi rendition="#i">a</hi> + <hi rendition="#i">d</hi> + <hi rendition="#i">e</hi>,</cell> <cell>——————,</cell> <cell><hi rendition="#i">b</hi> + <hi rendition="#i">c</hi><hi rendition="#sub">1</hi> = <hi rendition="#i">f</hi><hi rendition="#sub">1</hi> = etc.,</cell> <cell><hi rendition="#i">b</hi> + <hi rendition="#i">d</hi><hi rendition="#sub">1</hi> = i,</cell> <cell><hi rendition="#i">b</hi> + <hi rendition="#i">e</hi><hi rendition="#sub">1</hi> = i,</cell> <cell><hi rendition="#i">b</hi> + <hi rendition="#i">f</hi><hi rendition="#sub">1</hi> = <hi rendition="#i">f</hi><hi rendition="#sub">1</hi> = etc.,</cell> <cell><hi rendition="#i">b</hi> + <hi rendition="#i">g</hi><hi rendition="#sub">1</hi> = <hi rendition="#i">g</hi><hi rendition="#sub">1</hi> = etc.,</cell> </row><lb/> <row> <cell><hi rendition="#i">a</hi> + <hi rendition="#i">c</hi> = <hi rendition="#i">a</hi> + <hi rendition="#i">d</hi> + <hi rendition="#i">f</hi>,</cell> <cell><hi rendition="#i">b</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">c</hi> = <hi rendition="#i">e</hi><hi rendition="#sub">1</hi> = etc.,</cell> <cell>——————,</cell> <cell><hi rendition="#i">c</hi> + <hi rendition="#i">d</hi><hi rendition="#sub">1</hi> = i,</cell> <cell><hi rendition="#i">c</hi> + <hi rendition="#i">e</hi><hi rendition="#sub">1</hi> = <hi rendition="#i">e</hi><hi rendition="#sub">1</hi> = etc.,</cell> <cell><hi rendition="#i">c</hi> + <hi rendition="#i">f</hi><hi rendition="#sub">1</hi> = i,</cell> <cell><hi rendition="#i">c</hi> + <hi rendition="#i">g</hi><hi rendition="#sub">1</hi> = <hi rendition="#i">g</hi><hi rendition="#sub">1</hi> = etc.,</cell> </row><lb/> <row> <cell><hi rendition="#i">a</hi> + <hi rendition="#i">d</hi> = <hi rendition="#i">a</hi> + <hi rendition="#i">d</hi>,</cell> <cell><hi rendition="#i">b</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">d</hi> = <hi rendition="#i">e</hi><hi rendition="#sub">1</hi> = etc.,</cell> <cell><hi rendition="#i">c</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">d</hi> = <hi rendition="#i">f</hi><hi rendition="#sub">1</hi> = etc.,</cell> <cell>——————,</cell> <cell><hi rendition="#i">d</hi> + <hi rendition="#i">e</hi><hi rendition="#sub">1</hi> = <hi rendition="#i">e</hi><hi rendition="#sub">1</hi> = etc.,</cell> <cell><hi rendition="#i">d</hi> + <hi rendition="#i">f</hi><hi rendition="#sub">1</hi> = <hi rendition="#i">f</hi><hi rendition="#sub">1</hi> = etc.,</cell> <cell><hi rendition="#i">d</hi> + <hi rendition="#i">g</hi><hi rendition="#sub">1</hi> = <hi rendition="#i">g</hi><hi rendition="#sub">1</hi> = etc.</cell> </row><lb/> <row> <cell><hi rendition="#i">a</hi> + <hi rendition="#i">e</hi> = <hi rendition="#i">a</hi> + <hi rendition="#i">e</hi>,</cell> <cell><hi rendition="#i">b</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">e</hi> = <hi rendition="#i">d</hi><hi rendition="#sub">1</hi> = etc.,</cell> <cell><hi rendition="#i">c</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">e</hi> = <hi rendition="#i">c</hi><hi rendition="#sub">1</hi> = <hi rendition="#i">a</hi> + <hi rendition="#i">c</hi> + <hi rendition="#i">g</hi>,</cell> <cell><hi rendition="#i">d</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">e</hi> = <hi rendition="#i">d</hi><hi rendition="#sub">1</hi> = etc.,</cell> <cell>——————,</cell> <cell><hi rendition="#i">e</hi> + <hi rendition="#i">f</hi><hi rendition="#sub">1</hi> = <hi rendition="#i">f</hi><hi rendition="#sub">1</hi> = etc.,</cell> <cell><hi rendition="#i">e</hi> + <hi rendition="#i">g</hi><hi rendition="#sub">1</hi> = <hi rendition="#i">g</hi><hi rendition="#sub">1</hi> = etc.,</cell> </row><lb/> <row> <cell><hi rendition="#i">a</hi> + <hi rendition="#i">f</hi> = <hi rendition="#i">a</hi> + <hi rendition="#i">f</hi>,</cell> <cell><hi rendition="#i">b</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">f</hi> = <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> = <hi rendition="#i">a</hi> + <hi rendition="#i">f</hi> + <hi rendition="#i">g</hi>,</cell> <cell><hi rendition="#i">c</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">f</hi> = <hi rendition="#i">d</hi><hi rendition="#sub">1</hi> = etc.,</cell> <cell><hi rendition="#i">d</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">f</hi> = <hi rendition="#i">d</hi><hi rendition="#sub">1</hi> = etc.,</cell> <cell><hi rendition="#i">e</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">f</hi> = <hi rendition="#i">e</hi><hi rendition="#sub">1</hi> = etc.,</cell> <cell>——————,</cell> <cell><hi rendition="#i">f</hi> + <hi rendition="#i">g</hi><hi rendition="#sub">1</hi> = <hi rendition="#i">g</hi><hi rendition="#sub">1</hi> = etc.,</cell> </row><lb/> <row> <cell><hi rendition="#i">a</hi> + <hi rendition="#i">g</hi> = <hi rendition="#i">a</hi> + <hi rendition="#i">g</hi>,</cell> <cell><hi rendition="#i">b</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">g</hi> = <hi rendition="#i">b</hi><hi rendition="#sub">1</hi> = <hi rendition="#i">a</hi> + <hi rendition="#i">f</hi> + <hi rendition="#i">g</hi>,</cell> <cell><hi rendition="#i">c</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">g</hi> = <hi rendition="#i">c</hi><hi rendition="#sub">1</hi> = <hi rendition="#i">a</hi> + <hi rendition="#i">e</hi> + <hi rendition="#i">g</hi>,</cell> <cell><hi rendition="#i">d</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">g</hi> = <hi rendition="#i">d</hi><hi rendition="#sub">1</hi> = etc.,</cell> <cell><hi rendition="#i">e</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">g</hi> = <hi rendition="#i">e</hi><hi rendition="#sub">1</hi> = etc.,</cell> <cell><hi rendition="#i">f</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">g</hi> = <hi rendition="#i">f</hi><hi rendition="#sub">1</hi> = etc.,</cell> <cell>——————,</cell> </row><lb/> </table> </p> </div> </div> </div> </body> </text> </TEI> [130/0154]
Achtzehnte Vorlesung.
XII0. Additionstabelle bei Ausschluss undeutiger Symbole.
——————, a1 + b = a1 = etc., a1 + c = a1 = etc., a1 + d = a1 = etc., a1 + e = a1 = etc., a1 + f = a1 = etc., a1 + g = a1 = etc.,
a + b1 = b1 = a + f + g, ——————, b + c = d + e + f, b + d = b = d + e, b + e = b = d + e, b + f = d + e + f, b + g = d + e + g,
a + c1 = c1 = a + e + g, b1 + c1 = d1 = etc., ——————, c + d = c = d + f, c + e = d + e + f, c + f = c = d + f, c + g = d + f + g,
a + d1 = d1 = etc., b1 + d1 = d1 = etc., c1 + d1 = d1 = etc., ——————, d + e = b = d + e, d + f = c = d + f, d + g = d + g,
a + e1 = e1 = etc., b1 + e1 = e1 = etc., c1 + e1 = i, d1 + e1 = i, ——————, e + f = e + f, e + g = e + g,
a + f1 = f1 = etc., b1 + f1 = i, c1 + f1 = f1 = etc., d1 + f1 = i, e1 + f1 = i, ——————, f + g = f + g,
a + g1 = g1 = etc., b1 + g1 = i, c1 + g1 = i, d1 + g1 = i, e1 + g1 = i, f1 + g1 = i, ——————,
——————, a1 + b1 = i, a1 + c1 = i, a1 + d1 = i, a1 + e1 = i, a1 + f1 = i, a1 + g1 = i,
a + b = a + d + e, ——————, b + c1 = f1 = etc., b + d1 = i, b + e1 = i, b + f1 = f1 = etc., b + g1 = g1 = etc.,
a + c = a + d + f, b1 + c = e1 = etc., ——————, c + d1 = i, c + e1 = e1 = etc., c + f1 = i, c + g1 = g1 = etc.,
a + d = a + d, b1 + d = e1 = etc., c1 + d = f1 = etc., ——————, d + e1 = e1 = etc., d + f1 = f1 = etc., d + g1 = g1 = etc.
a + e = a + e, b1 + e = d1 = etc., c1 + e = c1 = a + c + g, d1 + e = d1 = etc., ——————, e + f1 = f1 = etc., e + g1 = g1 = etc.,
a + f = a + f, b1 + f = b1 = a + f + g, c1 + f = d1 = etc., d1 + f = d1 = etc., e1 + f = e1 = etc., ——————, f + g1 = g1 = etc.,
a + g = a + g, b1 + g = b1 = a + f + g, c1 + g = c1 = a + e + g, d1 + g = d1 = etc., e1 + g = e1 = etc., f1 + g = f1 = etc., ——————,
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Zitationshilfe: | Schröder, Ernst: Vorlesungen über die Algebra der Logik. Bd. 2, Abt. 1. Leipzig, 1891, S. 130. In: Deutsches Textarchiv <https://www.deutschestextarchiv.de/schroeder_logik0201_1891/154>, abgerufen am 26.08.2024. |