David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
Learn more about PhilPapers
Stanford Encyclopedia of Philosophy (2008)
One of the most intriguing features of mathematics is its applicability to empirical science. Every branch of science draws upon large and often diverse portions of mathematics, from the use of Hilbert spaces in quantum mechanics to the use of differential geometry in general relativity. It's not just the physical sciences that avail themselves of the services of mathematics either. Biology, for instance, makes extensive use of difference equations and statistics. The roles mathematics plays in these theories is also varied. Not only does mathematics help with empirical predictions, it allows elegant and economical statement of many theories. Indeed, so important is the language of mathematics to science, that it is hard to imagine how theories such as quantum mechanics and general relativity could even be stated without employing a substantial amount of mathematics.
|Keywords||mathematics indispensability platonism toread|
|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
Boaz Miller (2016). What is Hacking’s Argument for Entity Realism? Synthese 193 (3):991-1006.
Alyssa Ney (2012). Neo-Positivist Metaphysics. Philosophical Studies 160 (1):53-78.
Andrea Sauchelli (2010). Concrete Possible Worlds and Counterfactual Conditionals: Lewis Versus Williamson on Modal Knowledge. Synthese 176 (3):345-359.
John Dilworth (2010). More on the Interactive Indexing Semantic Theory. Minds and Machines 20 (3):455-474.
Alberto Voltolini (2009). Consequences of Schematism. Phenomenology and the Cognitive Sciences 8 (1):135-150.
Similar books and articles
Tomasz Bigaj (2003). The Indispensability Argument – a New Chance for Empiricism in Mathematics? Foundations of Science 8 (2):173-200.
Mark Colyvan (2001). The Miracle of Applied Mathematics. Synthese 127 (3):265-277.
Juha Saatsi (2011). The Enhanced Indispensability Argument: Representational Versus Explanatory Role of Mathematics in Science. British Journal for the Philosophy of Science 62 (1):143-154.
C. Cheyne (2002). The Indispensability of Mathematics. Australasian Journal of Philosophy 80 (3):378 – 379.
Edward N. Zalta (2007). Reflections on Mathematics. In V. F. Hendricks & Hannes Leitgeb (eds.), Philosophy of Mathematics: Five Questions. Automatic Press/VIP
Christopher Pincock (2009). Towards a Philosophy of Applied Mathematics. In Otávio Bueno & Øystein Linnebo (eds.), New Waves in Philosophy of Mathematics. Palgrave Macmillan
Mark Colyvan (2003). The Indispensability of Mathematics. Oxford University Press.
Alan Baker (2003). The Indispensability Argument and Multiple Foundations for Mathematics. Philosophical Quarterly 53 (210):49–67.
Susan Vineberg (1996). Confirmation and the Indispensability of Mathematics to Science. Philosophy of Science 63 (3):263.
Chris Pincock (2007). A Role for Mathematics in the Physical Sciences. Noûs 41 (2):253-275.
Added to index2009-01-28
Total downloads94 ( #44,054 of 1,907,383 )
Recent downloads (6 months)7 ( #108,771 of 1,907,383 )
How can I increase my downloads?