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  1. Ian Mueller (forthcoming). Greek Mathematics (Arithmetic, Geometry, Proportion Theory) to the Time of Euclid. A Companion to Ancient Philosophy.
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  2. Ian Mueller (2009). Aporia 12. In Michel Crubellier & André Laks (eds.), Aristotle's Metaphysics Beta: Symposium Aristotelicum. Oup Oxford.
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  3. Ian Mueller (2006). Physics and Astronomy: Aristotle's Physics II.2.193b22–194a12. Arabic Sciences and Philosophy 16 (2):175-206.
    In the first part of chapter 2 of book II of the Physics Aristotle addresses the issue of the difference between mathematics and physics. In the course of his discussion he says some things about astronomy and the ‘ ‘ more physical branches of mathematics”. In this paper I discuss historical issues concerning the text, translation, and interpretation of the passage, focusing on two cruxes, ( I ) the first reference to astronomy at 193b25–26 and ( II ) the reference (...)
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  4. Ian Mueller (2005). Review of Frans de Haas (Ed.), Jaap Mansfeld (Ed.), Aristotle: On Generation and Corruption, Book I, Symposium Aristotelicum. [REVIEW] Notre Dame Philosophical Reviews 2005 (6).
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  5. Ian Mueller (2004). Remarks on Physics and Mathematical Astronomy and Optics in Epicurus, Sextus Empiricus, and Some Stoics. Apeiron 37 (4):57 - 87.
  6. Ian Mueller (2003). Remarks on Euclid's Elements I,32 and the Parallel Postulate. Science in Context 16 (3).
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  7. Ian Mueller (2000). Studies in Plato's Two-Level Model (Review). Journal of the History of Philosophy 38 (2):272-273.
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  8. Ian Mueller (2000). Galen. Ancient Philosophy 20 (1):247-250.
  9. Ian Mueller (2000). Mathematical Method and Philosophical Truth. Filozofski Vestnik 21 (1):131-155.
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  10. Ian Mueller (2000). Working with Trivial Authors. Apeiron 33 (3):247 - 258.
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  11. Ian Mueller (1998). Proclus. Philosophical Review 107 (4):600-603.
  12. Ian Mueller (1997). Plato's Philosophy of Mathematics. Ancient Philosophy 17 (2):458-461.
  13. Ian Mueller (1996). Thrasyllan Platonism. Ancient Philosophy 16 (1):246-255.
  14. Ian Mueller (1991). Mathematics and Education: Some Notes on the Platonic Program. Apeiron 24 (4):85 - 104.
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  15. Ian Mueller (1989). Joan Kung's Reading of Plato's "Timaeus". Apeiron 22 (4):1 - 27.
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  16. Ian Mueller (1987). Lamblichus and Proclus' Euclid Commentary. Hermes 115:334-348.
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  17. Ian Mueller (1986). On Some Academic Theories of Mathematical Objects. Journal of Hellenic Studies 106:111-120.
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  18. Ian Mueller (1983). Parmenides133a-134e. Ancient Philosophy 3 (1):3-7.
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  19. Ian Mueller (1981/2006). Philosophy of Mathematics and Deductive Structure in Euclid's Elements. Dover Publications.
    A survey of Euclid's Elements, this text provides an understanding of the classical Greek conception of mathematics and its similarities to modern views as well as its differences. It focuses on philosophical, foundational, and logical questions — rather than strictly historical and mathematical issues — and features several helpful appendixes.
     
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  20. Ian Mueller (1979). The Completeness of Stoic Propositional Logic. Notre Dame Journal of Formal Logic 20 (1):201-215.
  21. Ian Mueller (1974). Greek Mathematics and Greek Logic. In John Corcoran (ed.), Ancient Logic and its Modern Interpretations. Boston,Reidel. 35--70.
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  22. Ian Mueller (1970). Aristotle on Geometrical Objects. Archiv für Geschichte der Philosophie 52 (2):156-171.
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  23. Ian Mueller (1969). Euclid's Elements and the Axiomatic Method. British Journal for the Philosophy of Science 20 (4):289-309.
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  24. Ian Mueller (1969). Stoic and Peidpatetic Logic. Archiv für Geschichte der Philosophie 51 (2):173-187.
  25. Ian Mueller (1969). Zeno's Paradoxes and Continuity. Mind 78 (309):129-131.
    In this note i argue against harold n. lee's assertion ("mind," october, 1965) that resolution of zeno's paradoxes is closely connected with the modern mathematical distinction between density and continuity. zeno's paradoxes would arise as much if space or time is dense as they do if it is continuous. in fact the paradoxes only arise if one combines a mathematical analysis of space and time with a non-mathematical conception of motion.
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