World and Logic

London, Vereinigtes Königreich: College Publications (2021)
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What is the relationship between the world and logic, between intuition and language, between objects and their quantitative determinations? Rationalists, on the one hand, hold that the world is structured in a rational way. Representationalists, on the other hand, assume that language, logic, and mathematics are only the means to order and describe the intuitively given world. In World and Logic, Jens Lemanski takes up three surprising arguments from Arthur Schopenhauer’s hitherto undiscovered Berlin Lectures, which concern the philosophy of language, logic, and mathematics. Based on these arguments, Lemanski develops a new position entitled ‘rational representationalism’: the world is always structured by human beings according to linguistic, logical, and mathematical principles, but the basic vocabulary of these structural descriptions already contains metaphors taken from the world around us.

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Author's Profile

Jens Lemanski
University of Münster

Citations of this work

Kant’s Crucial Contribution to Euler Diagrams.Jens Lemanski - forthcoming - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie:1-20.
Fichte’s Formal Logic.Jens Lemanski & Andrew Schumann - 2023 - Synthese 202 (1):1-27.
Schopenhauer’s Partition Diagrams and Logical Geometry.Jens Lemanski & Lorenz Demey - 2021 - In A. Basu, G. Stapleton, S. Linker, C. Legg, E. Manalo & P. Viana (eds.), Diagrams 2021: Diagrammatic Representation and Inference. 93413 Cham, Deutschland: pp. 149-165.
Arthur Schopenhauer: Logic and Dialectic.Jens Lemanski - 2023 - Internet Encyclopedia of Philosophy.

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References found in this work

Knowledge of Language: Its Nature, Origin, and Use.Noam Chomsky - 1986 - Prager. Edited by Darragh Byrne & Max Kölbel.
The logical basis of metaphysics.Michael Dummett - 1991 - Cambridge, Mass.: Harvard University Press.

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