Exploring the beta quadrant

Synthese 192 (4):941-970 (2015)
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The theory of existential graphs, which Peirce ultimately divided into four quadrants , is a rich method of analysis in the philosophy of logic. Its $$\upbeta $$ β -part boasts a diagrammatic theory of quantification, which by 1902 Peirce had used in the logical analysis of natural-language expressions such as complex donkey-type anaphora, quantificational patterns describing new mathematical concepts, and cognitive information processing. In the $$\upbeta $$ β -quadrant, he came close to inventing independence-friendly logic, the idea of which he found indispensable in fulfilling the tasks –



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Ahti-Veikko Pietarinen
Hong Kong Baptist University

References found in this work

Introduction to mathematical philosophy.Bertrand Russell - 1919 - New York: Dover Publications.
Introduction to Mathematical Philosophy.Bertrand Russell - 1919 - Revue Philosophique de la France Et de l'Etranger 89:465-466.
The Computer And The Brain.John Von Neumann - 1958 - New Haven: Yale University Press.
The principles of mathematics revisited.Jaakko Hintikka - 1996 - New York: Cambridge University Press.

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