Below is an attempt at a bibliography for the Metaphysics of Quantity. This list is being updated semi-regularly is being updated very rarely. Most of my bibliographical energy of late has been devoted to editing the Quantities category at (located here). That being said, I will continue to keep this list up to date, though more as a curated selection of useful resources than as a fully exhaustive list (since that role is currently being filled by the quantities category). Suggestions of relevant citations to add are, of course, always welcome.

Please feel free to email me any feedback or suggested additions.


Having to do with Quantity specifically:

Armstrong, D.M. (1988). Are Quantities Relations? A Reply to Bigelow and Pargetter. Philosophical Studies 54 (3).

Armstrong, D.M. (1987) Comments on Swoyer and Forge. in Measurement, Realism and Objectivity (John Forge ed.) D. Reidel, Dordrecht.

Balashov, Yuri (1999). Zero-value physical quantities. Synthese 119 (3):253-286.

Bigelow, John and Robert Pargetter (1990). Science and Necessity. Cambridge: Cambridge University Press

Bigelow, John and Robert Pargetter  (1988). Quantities. Philosophical Studies 54 (3).

Dasgupta, Shamik (2013). “Absolutism and Comparativism about Quantity” in Oxford Studies in Metaphysics Volume 8.

Eddon, Maya (2007). Armstrong on Quantities and Resemblance. Philosophical Studies. (2007)136: 385-404.

Eddon, Maya (2013). “Fundamental Properties of Fundamental Properties” in Karen Bennett & Dean
Zimmerman (eds.) Oxford Studies in Metaphysics: Volume 8. Oxford University Press.

Maya Eddon (2013). Quantitative Properties. Philosophy Compass.

Ellis, Brian (1966). Basic Concepts of Measurement. Cambridge: Cambridge University Press.

Ellis, Brian (1987). Comments on Forge and Swoyer. in Measurement, Realism and Objectivity (John Forge ed.) D. Reidel, Dordrecht.

Field, Hartry (1985). Can We Dispense With Space-time? PSA 2: 33-90

Forge, John  (1987). On Ellis’ Theory of Quantity. in Measurement, Realism and Objectivity (John Forge ed.) D. Reidel, Dordrecht.

Forge, John (1995). Bigelow and Pargetter on Quantities. Australasian Journal of Philosophy 73 (4):594 – 605.

Forge, John (1999). Explanation, quantity and law. Ashgate

Hawthorne, John (2006). Quantity in Lewisian Metaphysics. In John Hawthorne (ed.), Metaphysical Essays. Oxford University Press.

Mundy, Brent (1987). The Metaphysics of Quantity. Philosophical Studies 51 (1).

Mundy, Brent (1989). Elementary Categorial Logic, Predicates of Variable Degree, and Theory of Quantity. Journal of Philosophical Logic 18 (2).

Perry, Zee R. (forthcoming) Properly Extensive Quantities. In “Proceedings of 2014 Meeting of the Philosophy of Science Association” Supp. Issue of Philosophy of Science. University of Chicago Press. Chicago, IL.

Swoyer, Chris (1987). The Metaphysics of Measurement. in Measurement, Realism and Objectivity (John Forge ed.) D. Reidel, Dordrecht.

Weatherson, Brian (…?). Science and Necessity

–> Sider, Ted (…?). Comments on Science and Necessity


Peripherally related to/involving Quantity:

Cowling, Sam (2014). Instantiation as Location. Philosophical Studies:1-16.

Dasgupta, Shamik (Draft). On the Plurality of Grounds.

Field, Hartry (1980). Science without Numbers: A Defense of Nominalism. Princeton: Princeton University Press.

Forrest, Peter & D. M. Armstrong (1987). The Nature of Number. Philosophical Papers 16 (3):165-186.

Hall, Ned (Draft?). Metaphysical Possibility and (=?) Physical Possibility.

Hawthorne, John (2005). Gunk and Continuous Variation. The Monist 88 (4).

Krantz, Suppes, Luce and Tversky. Foundations of Measurement (Vols I-III)

Lewis, David (1986). Against Structural Universals. Australasian Journal of Philosophy 64 (1):25 – 46.

Skow, Bradford (2007). Are Shapes Intrinsic? Philosophical Studies 133 (1).

Sterrett, S. G. (2009). Similarity and Dimensional Analysis. In Anthonie W. M. Meijers (ed.), Handbook of the Philosophy of Science. [esp. Sections 2, 3, and 4]


On a seemingly non-Quantity topic that is, itself, peripherally related to Quantity (or is a Quantity topic in disguise):

Dasgupta, Shamik (2009). Individuals: An Essay in Revisionary Metaphysics. Philosophical Studies 145 (1).

Dorr, Cian and John Hawthorne (Draft). Natural Properties: a Guide to the Perplexed.

Maudlin, Tim (1993). Buckets of Water and Waves of Space: Why Space-time is Probably a Substance. Philosophy of Science 60 (2): 183-203

Maudlin, Tim (2007). Suggestions from Physics for Deep Metaphysics. in The Metaphysics Within Physics. OUP pp. 78-104


Uncategorized (Either more peripheral than even the peripherally relevant papers, or I haven’t read/categorized them yet):

Armstrong, D.M. (1997) A World of States of Affairs. Cambridge: Cambridge University Press. [Ch. 5 in particular]

Bigelow, John and Robert Pargetter (1989). Vectors and Change. British Journal for the Philosophy of Science 40 (3):289-306.

Bigelow, John and Robert Pargetter (1987). Functions. Journal of Philosophy 84 (4):181-196.

Bigelow, John, Brian Ellis and Robert Pargetter (1988). Forces. Philosophy of Science 55 (4):614-630.

Bunge, Mario (1967). Scientific Research. Strategy and Philosophy. Berlin, New York: Springer-Verlag. Vol. 1 (Reprinted as Philosophy of Science. 1998, Transaction Publishers)

Ellis, Brian (2001). Scientific Essentialism. Cambridge: Cambridge University Press. [p. 66ish]

Ingvar, Johannsen (1996). Physical Addition. in R. Poli and P. Simons eds., Formal Ontology, Kluwer

Plochmann, George Kimball (1954). Is Quantity Prior to Quality? Philosophy of Science 21 (1):62-67.


[Last updated: January 2015]

(Note: Some of the citations in this list are in draft/forthcoming or are out of print. If you are interested in a work that is in draft, unpublished, or forthcoming, please contact the author directly. Also, do not cite unpublished work without permission from the author.)