David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jonathan Jenkins Ichikawa
Jack Alan Reynolds
Learn more about PhilPapers
Synthese 119 (1-2):203-232 (1999)
Boltzmann’s lectures on natural philosophy point out how the principles of mathematics are both an improvement on traditional philosophy and also serve as a necessary foundation of physics or what the English call “Natura Philosophy”, a title which he will retain for his own lectures. We start with lecture #3 and the mathematical contents of his lectures plus a few philosophical comments. Because of the length of the lectures as a whole we can only give the main points of each but organized into a coherent study. Behind his mathematics stands his support of Darwinian evolution interpreted in a partly Lamarckian way. He also supported non-Euclidean geometry. Much of Boltzmann’s analysis of mathematics is an attempt to refute Kant’s static a priori categories and his identification of space with “non-sensuous intuition”. Boltzmann’s strong attention toward discreteness in mathematics can be seen throughout the lectures. Part II of this paper will touch on the historical background of atomism and focus on the discrete way of thinking with which Boltzmann approaches problems in mathematics and beyond. Part III briefly points out how Boltzmann related mathematics and discreteness to music.
|Keywords||Philosophy Philosophy Epistemology Logic Metaphysics Philosophy of Language|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
Marcello Montibeller (2016). The Duty of Clarity: A Persuasion Effort. Continuity and Physics From Boltzmann to Wittgenstein. Philosophical Investigations 39 (2):138-153.
Similar books and articles
Edward N. Zalta (2007). Reflections on Mathematics. In V. F. Hendricks & Hannes Leitgeb (eds.), Philosophy of Mathematics: Five Questions. Automatic Press/VIP.
Stewart Shapiro (2000). Thinking About Mathematics: The Philosophy of Mathematics. Oxford University Press.
Gustav Jäger, Josef Nabl & Stephan Meyer (1999). Three Assistants on Boltzmann. Synthese 119 (1-2):69-84.
Daniel Parker, The H-Theorem, Molecular Disorder and Probability: Perspectives From Boltzmann's Lectures on Gas Theory.
Christopher Pincock (2009). Towards a Philosophy of Applied Mathematics. In Otávio Bueno & Øystein Linnebo (eds.), New Waves in Philosophy of Mathematics. Palgrave-Macmillan.
Henk W. de Regt (1999). Ludwig Boltzmann's Bildtheorie and Scientific Understanding. Synthese 119 (1-2):113-134.
David Lavis (2008). Boltzmann, Gibbs, and the Concept of Equilibrium. Philosophy of Science 75 (5):682-696.
Ludwig Boltzmann (1999). Boltzmann's Philosophy Notes for Three Lectures (Fall 1903). Synthese 119 (1-2):191-202.
Added to index2009-01-28
Total downloads37 ( #130,095 of 1,924,738 )
Recent downloads (6 months)18 ( #33,691 of 1,924,738 )
How can I increase my downloads?