David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Proceedings of the Aristotelian Society 98 (3):241–261 (1998)
In theoretical physics the physical states of systems are represented by components of mathematical structures. This paper explores three ways in which the representation of states by mathematics can give rise to foundational problems, sometimes on the side of the mathematics and sometimes on the side of understanding what the physical states are that the mathematics represents, that is on the side of interpreting the theory. Examples are given from classical mechanics, quantum mechanics and statistical mechanics
|Keywords||No keywords specified (fix it)|
|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
No citations found.
Similar books and articles
Simon Friederich (2010). Structuralism and Meta-Mathematics. Erkenntnis 73 (1):67 - 81.
Michael D. Resnik (1997). Mathematics as a Science of Patterns. New York ;Oxford University Press.
Matthew J. Donald, Finitary and Infinitary Mathematics, the Possibility of Possibilities and the Definition of Probabilities.
Edward N. Zalta (2007). Reflections on Mathematics. In V. F. Hendricks & Hannes Leitgeb (eds.), Philosophy of Mathematics: Five Questions. Automatic Press/VIP.
Alfréd Rényi (1967). Dialogues on Mathematics. San Francisco, Holden-Day.
Mark Colyvan, Indispensability Arguments in the Philosophy of Mathematics. Stanford Encyclopedia of Philosophy.
Christopher Pincock (2009). Towards a Philosophy of Applied Mathematics. In Otávio Bueno & Øystein Linnebo (eds.), New Waves in Philosophy of Mathematics. Palgrave Macmillan.
Michael Heller (1997). Essential Tension: Mathematics - Physics - Philosophy. [REVIEW] Foundations of Science 2 (1):39-52.
Added to index2009-01-28
Total downloads40 ( #45,163 of 1,099,786 )
Recent downloads (6 months)1 ( #303,541 of 1,099,786 )
How can I increase my downloads?