Identity and Quantification in Peirce's Beta Graphs

JAVIER LEGRIS

Paderborn

Workshop; Workshop Geschichte und Philosophie von Logik und Mathematik; 2020

Universität Paderborn, Institut für Humanwissenschaften: Philosopgie

The aim ofthis paper is to examine the diagrammatic expression of the notions of identityand quantification in the Beta Graphs, stressing its notational features (inorder to see it as a problem in what Peirce called ?philosophy of notation?)and putting it in the context of his theory of signs (or semiotics). It will beclaimed that Peirce carried out by the Beta Graphs an analysis of identity and quantification in the special sense of uniqueness ofdecomposition). Hence, the case of identity exemplifies the analytic feature of diagrams beyondtheir operational and structural features.  @font-face{font-family:"Cambria Math";panose-1:2 4 5 3 5 4 6 3 2 4;mso-font-charset:0;mso-generic-font-family:roman;mso-font-pitch:variable;mso-font-signature:-536870145 1107305727 0 0 415 0;}@font-face{font-family:Calibri;panose-1:2 15 5 2 2 2 4 3 2 4;mso-font-charset:0;mso-generic-font-family:swiss;mso-font-pitch:variable;mso-font-signature:-536859905 -1073732485 9 0 511 0;}@font-face{font-family:"Yu Mincho";panose-1:2 2 4 0 0 0 0 0 0 0;mso-font-alt:游明朝;mso-font-charset:128;mso-generic-font-family:roman;mso-font-pitch:variable;mso-font-signature:-2147482905 717749503 18 0 131231 0;}@font-face{font-family:"@Yu Mincho";mso-font-charset:128;mso-generic-font-family:roman;mso-font-pitch:variable;mso-font-signature:-2147482905 717749503 18 0 131231 0;}p.MsoNormal, li.MsoNormal, div.MsoNormal{mso-style-unhide:no;mso-style-qformat:yes;mso-style-parent:"";margin:0cm;margin-bottom:.0001pt;mso-pagination:widow-orphan;font-size:12.0pt;font-family:"Calibri",sans-serif;mso-ascii-font-family:Calibri;mso-ascii-theme-font:minor-latin;mso-fareast-font-family:"Yu Mincho";mso-fareast-theme-font:minor-fareast;mso-hansi-font-family:Calibri;mso-hansi-theme-font:minor-latin;mso-bidi-font-family:"Times New Roman";mso-bidi-theme-font:minor-bidi;}.MsoChpDefault{mso-style-type:export-only;mso-default-props:yes;font-family:"Calibri",sans-serif;mso-ascii-font-family:Calibri;mso-ascii-theme-font:minor-latin;mso-fareast-font-family:"Yu Mincho";mso-fareast-theme-font:minor-fareast;mso-hansi-font-family:Calibri;mso-hansi-theme-font:minor-latin;mso-bidi-font-family:"Times New Roman";mso-bidi-theme-font:minor-bidi;}div.WordSection1{page:WordSection1;}