Titlebook: Language, Logic, and Mathematics in Schopenhauer; Jens Lemanski Book 2020 Springer Nature Switzerland AG 2020 History of Mathematics.Philo

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Problems in Reconstructing Schopenhauer’s Theory of Meaning: With Reference to His Influence on Wittext of these two theories. His use of the terms “word,” “concept,” and “meaning” is analyzed and it is shown that he applies them ambivalently. The article’s main findings include a demonstration of how Schopenhauer’s ambivalent terminology enables the twofold interpretation of meaning: as representation-based and use-based.

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Concept Diagrams and the Context Principlef view, the question of primacy is decided by analyzing the functions of the logic principles: For the explanation of logic and language, concepts are primary, but for understanding it is judgments. The mediation between intuitive representation and logical rationality is ensured by concept diagrams.

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Schopenhauer on Diagrammatic Proofbjections to its legitimacy are formulated. In § 2 I set out what I take to be the substance of Schopenhauer’s advocacy of picture proofs and in § 3 I formulate replies to these challenges based on the Schopenhauerian distinction between a proposition’s ground of knowledge (.) and its ground of being (.).

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The World as Will and I-Language: Schopenhauer’s Philosophy as Precursor of Cognitive Sciencesd fosters a further examination of I-Language. This becomes particularly evident in his discussion of language acquisition and processing, and the ways in which the genuinely cognitively conceptualized language module is implemented in the human brain.

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Schopenhauer’s Logic in Its Historical Contextfficient reason of knowing and, secondly, the separation of concepts and representations of perception. This paper works through Schopenhauer’s own list of the main developments in the history of logic and offers critical commentary on it. It concludes by examining some of the issues that do not app

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From Euler Diagrams in Schopenhauer to Aristotelian Diagrams in Logical Geometrynct .. Because of his various concrete Euler diagrams and, especially, his more systematic observations about them, Schopenhauer can rightly be considered a distant forerunner of contemporary logical geometry.