“Schließlich wird als Kennzeichen des Neuen auf die mathematische Kalkültechnik hingewiesen, durch die sich die moderne Logik von der traditionellen unterscheide.” (p. 361) #Günther #Neues #Kalkül #Logik
“Aus dem bisher Gesagten geht hervor, daß das generelle Problem der logischen Allgemeingültigkeit eines formalisierten Ausdrucks, d.h. also die Frage, unter welchen Bedingungen eine Formel im Hinblick auf jeden möglichen Individuenbereich den Character rein formaler Wahrheit besitzt, schon im engeren Prädikatenkalkül nicht endgültig lösbar ist.” (p. 364) #Günther #Allgemeingültigkeit #Wahrheit #Prädikatenkalkül
“Zeno’s paradox stemmed from the fact that Being stands for the class of all ortho-objects designated by a single value. Time, on the other hand, belongs to the first class of pseudo-objects which require designation by a duality of values. When Zeno confronted Being and Time, he effected, formally speaking, a confrontation between value-singularity and value-duality. It is obvious that no two-valued system can display all the features which Zeno’s problem implies. The introduction of a third value is the first step to bring Time within the range of logical analysis.” (p. 402) #Günther #Zeno #Being #Time
“Thus Time, the moving image of eternity, comes to rest when its flow enters the stillness of contemplative Thought.” (p. 405) #Günther #time #eternity #thought
“The kenogrammatic theory of logic offers such a locus; and thus Time is rendered noneliminable. But the introduction of a third value and a concomitant ontological locus gives us only a new ontology – not yet a logic to think about it in terms of designation and nondesignation. The theory of Time, therefore, requires a wider basis than three-place kenogrammatic structures provide.” (402sq.) #Günther #KenogrammaticTheoryOfLogic #time