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  1. Thomas McLaughlin (2012). Review of M. E. Moore (Ed.), Philosophy of Mathematics: Selected Writings of Charles S. Peirce. [REVIEW] Philosophia Mathematica 20 (1):122-128.
  2. Thomas McLaughlin (2011). Act, Potency, and Energy. The Thomist 75 (2):207-243.
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  3. Thomas G. McLaughlin (2010). Some Observations on the Substructure Lattice of a 1 Ultrapower. Mathematical Logic Quarterly 56 (3):323-330.
    Given a Δ1 ultrapower ℱ/[MATHEMATICAL SCRIPT CAPITAL U], let ℒU denote the set of all Π2-correct substructures of ℱ/[MATHEMATICAL SCRIPT CAPITAL U]; i.e., ℒU is the collection of all those subsets of |ℱ/[MATHEMATICAL SCRIPT CAPITAL U]| that are closed under computable functions. Defining in the obvious way the lattice ℒ) with domain ℒU, we obtain some preliminary results about lattice embeddings into – or realization as – an ℒ. The basis for these results, as far as we take the matter, (...)
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  4. Thomas J. McLaughlin (2008). Nature and Inertia. Review of Metaphysics 62 (2):251-284.
    This paper argues that inertia is an inherent principle and that inertia and Newton’s First Law are in this way natural in the Aristotelian sense. Indeed, many difficulties concerning inertia and the First Law of Motion may be resolved by understanding them through an Aristotelian conception of nature. The paper proceeds by examining the characteristic activities of inertia, the Aristotelian idea of nature, various accounts of inertia as force and as inert, and the manner in which an Aristotelian conception of (...)
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  5. Thomas J. McLaughlin (2006). Maimonides on the Origin of the World. Review of Metaphysics 60 (2):421-422.
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  6. Thomas McLaughlin (2004). Local Motion and the Principle of Inertia. International Philosophical Quarterly 44 (2):239-264.
    I argue that the Aristotelian definition of motion,“the act of what exists potentially insofar as it exists potentially,” and the mover causality principle,“whatever is moved is moved by another,” are compatible with Newton’s First Law of Motion, which treats inertialmotion as a state equivalent to rest and which requires no sustaining mover for such motion. Both traditions treat motion as such as requiring an initial, generating mover but not necessarily a sustaining motor. Through examining examples of motion as treated by (...)
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  7. Thomas G. McLaughlin (2002). Combinatorial Isols and the Arithmetic of Dekker Semirings. Mathematical Logic Quarterly 48 (3):323-342.
    In his long and illuminating paper [1] Joe Barback defined and showed to be non-vacuous a class of infinite regressive isols he has termed “complete y torre” isols. These particular isols a enjoy a property that Barback has since labelled combinatoriality. In [2], he provides a list of properties characterizing the combinatoria isols. In Section 2 of our paper, we extend this list of characterizations to include the fact that an infinite regressive isol X is combinatorial if and only if (...)
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  8. Thomas G. McLaughlin (1999). Existentially Incomplete Tame Models and a Conjecture of Ellentuck. Mathematical Logic Quarterly 45 (2):189-202.
    We construct a recursive ultrapower F/U such that F/U is a tame 1-model in the sense of [6, §3] and FU is existentially incomplete in the models of II2 arithmetic. This enables us to answer in the negative a question about closure with respect to recursive fibers of certain special semirings Γ of isols termed tame models by Barback. Erik Ellentuck had conjuctured that all such semirings enjoy the closure property in question. Our result is that while many do, some (...)
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  9. Thomas J. McLaughlin (1998). Aristotelian Mover-Causality and the Principle of Inertia. International Philosophical Quarterly 38 (2):137-151.
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  10. Thomas G. McLaughlin (1995). Existentially Complete Nerode Semirings. Mathematical Logic Quarterly 41 (1):1-14.
    Let Λ denote the semiring of isols. We characterize existential completeness for Nerode subsemirings of Λ, by means of a purely isol-theoretic “Σ1 separation property”. Our characterization is purely isol-theoretic in that it is formulated entirely in terms of the extensions to Λ of the Σ1 subsets of the natural numbers. Advantage is taken of a special kind of isol first conjectured to exist by Ellentuck and first proven to exist by Barback . In addition, we strengthen the negative part (...)
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  11. Thomas McLaughlin (1993). A Note on Effective Ultrapowers: Uniform Failure of Bounded Collection. Mathematical Logic Quarterly 39 (1):431-435.
    By suitably adapting an argument of Hirschfeld , we show that there is a single Δ1 formula that defeats “bounded collection” for any model of II2 Arithmetic that is either a recursive ultrapower or an existentially complete model. Some related facts are noted. MSC: 03F30, 03C62.
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  12. Frank Lentricchia & Thomas McLaughlin (1991). Mihaly Szegedy-Maszak. Semiotica 87:187.
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  13. Thomas G. McLaughlin (1990). Sub-Arithmetical Ultrapowers: A Survey. Annals of Pure and Applied Logic 49 (2):143-191.
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  14. Thomas G. McLaughlin (1977). Degrees of Unsolvability and Strong Forms of $\LambdaR+\Lambda_R\Not\Subseteq \LambdaR$. Notre Dame Journal of Formal Logic 18 (4):545-566.
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  15. Thomas M. McLaughlin (1977). Clive Bell's Aesthetic: Tradition and Significant Form. Journal of Aesthetics and Art Criticism 35 (4):433-443.
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  16. Thomas G. McLaughlin (1964). A Note on Pseudo Doubly Creative Pairs. Notre Dame Journal of Formal Logic 5 (1):24-26.
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  17. Thomas G. McLaughlin (1962). On an Extension of a Theorem of Friedberg. Notre Dame Journal of Formal Logic 3 (4):270-273.
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