22 found
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  1. Cantor on Infinity in Nature, Number, and the Divine Mind.Anne Newstead - 2009 - 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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  2. Knowledge by Intention? On the Possibility of Agent's Knowledge.Anne Newstead - 2006 - In Stephen Cade Hetherington (ed.), Aspects of Knowing: Epistemological Essays. Elsevier Science. pp. 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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  3. Knowledge Beyond Reason in Spinoza’s Epistemology: Scientia Intuitiva and Amor Dei Intellectualis in Spinoza’s Epistemology.Anne Newstead - 2020 - Australasian Philosophical Review 4 (Revisiting Spinoza's Rationalism).
    Genevieve Lloyd’s Spinoza is quite a different thinker from the arch rationalist caricature of some undergraduate philosophy courses devoted to “The Continental Rationalists”. Lloyd’s Spinoza does not see reason as a complete source of knowledge, nor is deductive rational thought productive of the highest grade of knowledge. Instead, that honour goes to a third kind of knowledge—intuitive knowledge (scientia intuitiva), which provides an immediate, non-discursive knowledge of its singular object. To the embarrassment of some hard-nosed philosophers, intellectual intuition has an (...)
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  4. Indispensability Without Platonism.Anne Newstead & James Franklin - 2011 - In Alexander Bird, Brian David Ellis & Howard Sankey (eds.), Properties, Powers and Structures: Issues in the Metaphysics of Realism. New York: Routledge. pp. 81-97.
    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. Aristotle and modern mathematical theories of the continuum.Anne Newstead - 2001 - 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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  6. Aristotelian Potential Infinity.Anne Newstead - manuscript
    Online philosophy seminar notes, for virtual conference on the Aristotelian philosophy of mathematics, hosted by University of Geneva (organiser Ryan Miller), June 15, 2023.
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  7. Interpreting Anscombe’s Intention §32FF.Anne Newstead - 2009 - 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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  8. Evans's anti-cartesian argument: A critical evaluation.Anne Newstead - 2006 - Ratio 19 (2):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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  9. Absolute Infinity, Knowledge, and Divinity in the Thought of Cusanus and Cantor (ABSTRACT ONLY).Anne Newstead - 2024 - In Mirosław Szatkowski (ed.), Ontology of Divinity. Boston: De Gruyter. pp. 561-580.
    Renaissance philosopher, mathematician, and theologian Nicholas of Cusa (1401-1464) said that there is no proportion between the finite mind and the infinite. He is fond of saying reason cannot fully comprehend the infinite. That our best hope for attaining a vision and understanding of infinite things is by mathematics and by the use of contemplating symbols, which help us grasp "the absolute infinite". By the late 19th century, there is a decisive intervention in mathematics and its philosophy: the philosophical mathematician (...)
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  10. Reasoning About Ethics and Morality in the School Classroom.Anne Newstead - manuscript
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  11. Making Mathematics Visible: Mathematical Knowledge and How it Differs from Mathematical Understanding.Anne Newstead - manuscript
    This is a grant proposal for a research project conceived and written as a Research Associate at UNSW in 2011. I have plans to spin it into an article.
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  12. Being Embodied: First-Person Judgements and Their Relation to Embodiment.Anne Newstead - manuscript
    This is a grant proposal written as a post-doctoral application for MQRF at Macquarie University in 2009. As I did so much research for it, I have plans to spin it into an article. I note with pleasure the increased relevance of this kind of research given developments such as Neuralink and ChatGPT.
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  13. The Epistemology of Geometry I: the Problem of Exactness.Anne Newstead & Franklin James - 2010 - 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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  14. On the Reality of the Continuum Discussion Note: A Reply to Ormell, ‘Russell's Moment of Candour’, Philosophy.Anne Newstead - 2008 - Philosophy 83 (1):117-127.
    In a recent article, 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. In practice, this means excluding as (...)
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  15. Collaborative Virtual Worlds for Enhanced Scientific Understanding.Anne Newstead & Michael J. Jacobson - manuscript
    This is a copy of the presentation given at the "Workshop on Agency and Distributed Cognition" at Macquarie University, March 2012. What is noteworthy about this piece of work is that (i) it is a very early foray into the pedagogy, ontology, and epistemology of virtual worlds (it's 2012, way before David Chalmers' book "Reality+" in 2022); and (ii) it was my first foray into "social epistemology" beyond the standard "S knows that p" epistemology, drawing on Vygotskian collaborative approaches to (...)
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  16. Singling Out Objects without Sortals.Anne Newstead - 2003 - 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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  17. Collaborative Virtual Worlds and Productive Failure.Michael J. Jacobson, Charlotte Taylor, Anne Newstead, Wai Yat Wong, Deborah Richards, Meredith Taylor, Porte John, Kartiko Iwan, Kapur Manu & Hu Chun - 2011 - In Michael J. Jacobson, Charlotte Taylor, Anne Newstead, Wai Yat Wong, Deborah Richards, Meredith Taylor, Porte John, Kartiko Iwan, Kapur Manu & Hu Chun (eds.), 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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  18. Showing Certainty: An Essay on Wittgenstein's Response to Scepticism.Anne Newstead - manuscript
    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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  19. "Infinity, Knowledge, and Divinity in the Thought of Cusanus and Cantor" (Manuscript draft of first page of forthcoming book chapter ).Anne Newstead (ed.) - forthcoming - Berlin: De Gruyter.
    Renaissance philosopher, mathematician, and theologian Nicholas of Cusa (1401-1464) said that there is no proportion between the finite mind and the infinite. He is fond of saying reason cannot fully comprehend the infinite. That our best hope for attaining a vision and understanding of infinite things is by mathematics and by the use of contemplating symbols, which help us grasp "the absolute infinite". By the late 19th century, there is a decisive intervention in mathematics and its philosophy: the philosophical mathematician (...)
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  20. Self-Conscious Self-Reference: An Approach Based on Agent's Knowledge (DPhil manuscript).Anne Newstead - 2004 - 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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  21. Thought, Reference, and Experience: Themes from the Philosophy of Gareth Evans. [REVIEW]Anne Newstead - 2006 - 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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  22. Review of Oppy's Philosophical Perspectives on Infinity. [REVIEW]Anne Newstead - 2007 - 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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