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Profile: Anne Newstead (University of Sydney)
  1. Anne Newstead, Size Matters.
    Does Cantorian set theory alter our intuitive conception of number? Yes. In particular, Cantorian set theory revises our intuitive conception of when two sets have the same size (cardinal number). Consider a variant of Galileo’s Paradox, which notes that the members of the set of natural numbers, N, can be put in one-to-one correspondence with the members of the set of even numbers, E.
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  2. Anne Newstead, Showing Certainty: An Essay on Wittgenstein's Response to Scepticism.
    Coping with everyday life limits the extent of one’s scepticism. It is practically impossible to doubt the existence of the things with which one is immediately engaged and interacting. To doubt that, say, a door exists, is to step back from merely using the door (opening it) and to reflect on it in a detached, theoretical way. It is impossible to simultaneously act and live immersed in situation S while doubting that one is in S. Sceptical doubts—such as ‘Is this (...)
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  3. Anne Newstead & Michael J. Jacobson, Collaborative Virtual Worlds for Enhanced Scientific Understanding.
    This is a copy of the presentation given at the Workshop on Agency and Distributed Cognition at Macquarie University, March 2012.
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  4. Anne Newstead & James Franklin (2012). Indispensability Without Platonism. In Alexander Bird, Brian Ellis & Howard Sankey (eds.), Properties, Powers and Structures. Routledge.
    According to Quine’s indispensability argument, we ought to believe in just those mathematical entities that we quantify over in our best scientific theories. Quine’s criterion of ontological commitment is part of the standard indispensability argument. However, we suggest that a new indispensability argument can be run using Armstrong’s criterion of ontological commitment rather than Quine’s. According to Armstrong’s criterion, ‘to be is to be a truthmaker (or part of one)’. We supplement this criterion with our own brand of metaphysics, 'Aristotelian (...)
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  5. Michael J. Jacobson, Charlotte Taylor, Anne Newstead, Wai Yat Wong, Deborah Richards, Meredith Taylor, Porte John, Kartiko Iwan, Kapur Manu & Hu Chun (2011). Collaborative Virtual Worlds and Productive Failure. In Proceedings of the CSCL (Computer Supported Cognition and Learning) III. University of Hong Kong.
    This paper reports on an ongoing ARC Discovery Project that is conducting design research into learning in collaborative virtual worlds (CVW).The paper will describe three design components of the project: (a) pedagogical design, (b)technical and graphics design, and (c) learning research design. The perspectives of each design team will be discussed and how the three teams worked together to produce the CVW. The development of productive failure learning activities for the CVW will be discussed and there will be an interactive (...)
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  6. Michael J. Jacobson, Charlotte Taylor, Anne Newstead, Wai Yat Wong, Deborah Richards, Meredith Taylor, Porte John, Kartiko Iwan, Kapur Manu & Hu Chun (2011). Proceedings of the CSCL (Computer Supported Cognition and Learning) III. University of Hong Kong.
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  7. Anne Newstead & Franklin James, The Epistemology of Geometry I: The Problem of Exactness. Proceedings of the Australasian Society for Cognitive Science 2009.
    We show how an epistemology informed by cognitive science promises to shed light on an ancient problem in the philosophy of mathematics: the problem of exactness. The problem of exactness arises because geometrical knowledge is thought to concern perfect geometrical forms, whereas the embodiment of such forms in the natural world may be imperfect. There thus arises an apparent mismatch between mathematical concepts and physical reality. We propose that the problem can be solved by emphasizing the ways in which the (...)
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  8. Anne Newstead (2009). Cantor on Infinity in Nature, Number, and the Divine Mind. American Catholic Philosophical Quarterly 83 (4):533-553.
    The mathematician Georg Cantor strongly believed in the existence of actually infinite numbers and sets. Cantor’s “actualism” went against the Aristotelian tradition in metaphysics and mathematics. Under the pressures to defend his theory, his metaphysics changed from Spinozistic monism to Leibnizian voluntarist dualism. The factor motivating this change was two-fold: the desire to avoid antinomies associated with the notion of a universal collection and the desire to avoid the heresy of necessitarian pantheism. We document the changes in Cantor’s thought with (...)
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  9. Anne Newstead (2009). Interpreting Anscombe's Intention §32FF. Journal of Philosophical Research 34:157-176.
    G. E. M. Anscombe’s view that agents know what they are doing “without observation” has been met with skepticism and the charge of confusion and falsehood. Simultaneously, some commentators think that Anscombe has captured an important truth about the first-personal character of an agent’s awareness of her actions. This paper attempts an explanation and vindication of Anscombe’s view. The key to the vindication lies in focusing on the role of practical knowledge in an agent’s knowledge of her actions. Few commentators, (...)
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  10. Anne Newstead (2008). Intertwining Metaphysics and Mathematics: The Development of Georg Cantor's Set Theory 1871-1887. Review of Contemporary Philosophy 7:35-55.
  11. Anne Newstead & James Franklin (2008). On the Reality of the Continuum. Philosophy 83:117-28.
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  12. Anne Newstead & James Franklin (2008). On the Reality of the Continuum Discussion Note: A Reply to Ormell, 'Russell's Moment of Candour', "Philosophy&Quot;. Philosophy 83 (323):117 - 127.
    This paper discusses an argument for the reality of the classical mathematical continuum. An inference to the best explanation type of argument is used to defend the idea that real numbers exist even when they cannot be constructively specified as with the "indefinable numbers".
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  13. Anne Newstead & Franklin James (2008). On the Reality of the Continuum. Philosophy 83 (01):117-28.
    In a recent article (‘The Continuum: Russell’s Moment of Candour’), Christopher Ormell argues against the traditional mathematical view that the real numbers form an uncountably infinite set. He rejects the conclusion of Cantor’s diagonal argument for the higher, non-denumerable infinity of the real numbers. He does so on the basis that the classical conception of a real number is mys- terious, ineffable, and epistemically suspect. Instead, he urges that mathematics should admit only ‘well-defined’ real numbers as proper objects of study. (...)
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  14. Anne Newstead (2007). Review of Oppy's Philosophical Perspectives on Infinity. [REVIEW] Australasian Journal of Philosophy 85 (4):679-695.
    This is a book review of Oppy's "Philosophical Perspectives on Infinity", which is of interest to those in metaphysics, epistemology, philosophy of science, mathematics, and philosophy of religion.
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  15. Anne Newstead (2006). Thought, Reference, and Experience: Themes From the Philosophy of Gareth Evans. [REVIEW] Australasian Journal of Philosophy 84 (1):5.
    This is a very short book review of a recent volume on the philosophy of Gareth Evans with special attention to work on first-person reference.
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  16. Anne Newstead (2006). Evans's Anti-Cartesian Argument: A Critical Evaluation. Ratio 19 (June):214-228.
    In chapter 7 of The Varieties of Reference, Gareth Evans claimed to have an argument that would present "an antidote" to the Cartesian conception of the self as a purely mental entity. On the basis of considerations drawn from philosophy of language and thought, Evans claimed to be able to show that bodily awareness is a form of self-awareness. The apparent basis for this claim is the datum that sometimes judgements about one’s position based on body sense are immune to (...)
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  17. Anne Newstead (2006). Knowledge by Intention? On the Possibility of Agent's Knowledge. In Stephen Hetherington (ed.), Aspects of Knowing. Elsevier Science. 183.
    A fallibilist theory of knowledge is employed to make sense of the idea that agents know what they are doing 'without observation' (as on Anscombe's theory of practical knowledge).
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  18. Anne Newstead (2005). Compassion, Not Belief. [REVIEW] Quadrant 49 (6):88-89.
    This is a book review of Karen Armstrong's "The Spiral Staircase", the autobiography of a historian of religion. -/- To cite this article: Newstead, Anne. Compassion, Not Belief [Book Review] [online]. Quadrant, Vol. 49, No. 6, June 2005: 88-89. Availability: <http://search.informit.com.au/documentSummary;dn=203690937218529;res=IELLCC> ISSN: 0033-5002. [cited 06 Dec 12].
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  19. Anne Newstead (2004). Self-Conscious Self-Reference: An Approach Based on Agent's Knowledge (DPhil Manuscript). Dissertation, Oxford University
    This thesis proposes that an account of first-person reference and first-person thinking requires an account of practical knowledge. At a minimum, first-person reference requires at least a capacity for knowledge of the intentional act of reference. More typically, first-person reasoning requires deliberation and the ability to draw inferences while entertaining different 'I' thoughts. Other accounts of first-person reference--such as the perceptual account and the rule-based account--are criticized as inadequate. An account of practical knowledge is provided by an interpretation of GEM (...)
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  20. Anne Newstead (2003). Singling Out Objects Without Sortals. In Slezak Peter (ed.), International Conference on Cognitive Science (ICCS).
    It is argued that there are ways of individuating the objects of perception without using sortal concepts. The result is an moderate anti-sortalist position on which one can single out objects using demonstrative expressions without knowing exactly what sort of thing those objects are.
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  21. Anne Newstead (2001). Aristotle and Modern Mathematical Theories of the Continuum. In Demetra Sfendoni-Mentzou & James Brown (eds.), Aristotle and Contemporary Philosophy of Science. Peter Lang.
    This paper is on Aristotle's conception of the continuum. It is argued that although Aristotle did not have the modern conception of real numbers, his account of the continuum does mirror the topology of the real number continuum in modern mathematics especially as seen in the work of Georg Cantor. Some differences are noted, particularly as regards Aristotle's conception of number and the modern conception of real numbers. The issue of whether Aristotle had the notion of open versus closed intervals (...)
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  22. Anne Newstead (1997). Actual Versus Potential Infinity (BPhil Manuscript.). Dissertation, University of Oxford
    Does mathematical practice require the existence of actual infinities, or are potential infinities enough? Contrasting points of view are examined in depth, concentrating on Aristotle’s arguments against actual infinities, Cantor’s attempts to refute Aristotle, and concluding with Zermelo’s assertion of the primacy of potential infinity in mathematics.
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