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  1. Epistemology Versus Ontology: Essays on the Philosophy and Foundations of Mathematics in Honour of Per Martin-Löf.Peter Dybjer, Sten Lindström, Erik Palmgren & Göran Sundholm (eds.) - 2012 - Dordrecht, Netherland: Springer.
    This book brings together philosophers, mathematicians and logicians to penetrate important problems in the philosophy and foundations of mathematics. In philosophy, one has been concerned with the opposition between constructivism and classical mathematics and the different ontological and epistemological views that are reflected in this opposition. The dominant foundational framework for current mathematics is classical logic and set theory with the axiom of choice. This framework is, however, laden with philosophical difficulties. One important alternative foundational programme that is actively pursued (...)
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  • Hertz's legacy in Tractarian metaphysics 1.Martin Schmidt - 2024 - Philosophical Investigations 47 (2):223-242.
    The influence of Heinrich Hertz's The Principles of Mechanics on Ludwig Wittgenstein's Tractatus Logico‐Philosophicus has been studied for decades, but it has never become a mainstream topic in the Wittgensteinian literature. This paper focusses on Tractarian notions of objects, elementary facts and elementary sentences and discusses their similarities with Hertz's concepts of mass, its constituents and their mechanistic images. As the paper demonstrates, the Hertzian context provides some fruitful interpretational leads concerning several controversial ideas endorsed by early Wittgenstein, namely propositional (...)
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  • Le « Wittgenstein intermédiaire » et les mathématiques modernes.Sören Stenlund & Anne-Marie Boisvert - 2012 - Philosophiques 39 (1):125-161.
    Dans cet article, j’essaie de montrer que le dépassement et le rejet du dogmatisme sont un aspect décisif du changement dans la pensée de Wittgenstein qui a eu lieu au début des années 30, quand il commence à mettre en valeur l’autonomie de la grammaire du langage et à parler d’images grammaticales et de jeux de langage en tant qu’objets de comparaison. En examinant certains traits fondamentaux de ce changement, je mettrai en évidence l’impulsion et les idées décisives que Wittgenstein (...)
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  • Wittgenstein, Nāgārjuna and relational quantum mechanics.Michael A. Peters - 2022 - Educational Philosophy and Theory 54 (12):1942-1951.
    My propositions serve as elucidations in this way: he who understands me eventually recognises them as nonsensical, when he has used them – as steps – to climb up over them. (He must, so to speak,...
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  • Heinrich Hertz’s Neo-Kantian Philosophy of Science, and its Development by Harald Høffding.Frederik Voetmann Christiansen - 2006 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 37 (1):1 - 20.
    This article is an investigation of parallel themes in Heinrich Hertz's philosophy science and Kant's theory of schemata, symbols and regulative ideas. It is argued that Hertz's "pictures" bears close similarities to Kantian "schemata", that is, they are rules linking concepts to intuitions and provide them with their meaning. Kant's distinction between symbols and schemata is discussed and related to Hertz's three pictures of mechanics. It is argued that Hertz considered his own picture of mechanics (the "hidden mass" picture) as (...)
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  • Heinrich Hertz’s Neo-Kantian Philosophy of Science, and its Development by Harald Høffding.Frederik Voetmann Christiansen - 2006 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 37 (1):1-20.
    This article is an investigation of parallel themes in Heinrich Hertz's philosophy science and Kant's theory of schemata, symbols and regulative ideas. It is argued that Hertz's "pictures" bears close similarities to Kantian "schemata", that is, they are rules linking concepts to intuitions and provide them with their meaning. Kant's distinction between symbols and schemata is discussed and related to Hertz's three pictures of mechanics. It is argued that Hertz considered his own picture of mechanics as symbolic in a different (...)
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