Results for 'P. D. Epstein'

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  1.  24
    Managed Care: An Industry Snapshot.Joseph Newhouse, J. L. Buchanan, H. L. Bailit, D. Blumenthal, M. B. Buntin, D. Caudry, P. D. Cleary, A. M. Epstein, P. Fitzgerald & R. G. Frank - 2002 - Inquiry: The Journal of Health Care Organization, Provision, and Financing 39 (3):207-20.
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  2.  13
    Aristophanes' Thesmophoriazusae And The Nature Of Tragedy.P. D. Epstein - 2003 - Animus 8:3-10.
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  3.  27
    Book Reviews Section 1.D. Bob Gowin, Jerry B. Burnell, Pat Keith, Jaw-Woei Chiou, Kermit J. Blank, George Willis, George Kincaid, Lawrence D. Klein, James A. Nathan, Houston M. Burnside, Daniel P. Hudin, Erwin H. Epstein, Ivan L. Barrientos, Darrell S. Willey, Mathew Zachariah, Robert H. Beck & Edward R. Beauchamp - 1973 - Educational Studies 4 (3):134-145.
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  4.  32
    Exploring the Public Understanding of Basic Genetic Concepts.Sharon L. R. Kardia, Jane P. Sheldon, Elizabeth M. Petty, Merle Feldbaum, Elizabeth S. Anderson, Angela D. Lanie & Toby Epstein Jayaratne - unknown
    It is predicted that the rapid acquisition of new genetic knowledge and related applications during the next decade will have significant implications for virtually all members of society. Currently, most people get exposed to information about genes and genetics only through stories publicized in the media. We sought to understand how individuals in the general population used and understood the concepts of ???genetics??? and ???genes.??? During in-depth one-on-one telephone interviews with adults in the United States, we asked questions exploring their (...)
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  5.  13
    Diagonalization in Degree Constructions.D. Posner & R. Epstein - 1978 - Journal of Symbolic Logic 43 (2):280-283.
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  6. Realist Ennui and the Base Rate Fallacy.P. D. Magnus & Craig Callender - 2004 - Philosophy of Science 71 (3):320-338.
    The no-miracles argument and the pessimistic induction are arguably the main considerations for and against scientific realism. Recently these arguments have been accused of embodying a familiar, seductive fallacy. In each case, we are tricked by a base rate fallacy, one much-discussed in the psychological literature. In this paper we consider this accusation and use it as an explanation for why the two most prominent `wholesale' arguments in the literature seem irresolvable. Framed probabilistically, we can see very clearly why realists (...)
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  7. New Waves in Philosophy of Science.P. D. Magnus & Jacob Busch (eds.) - 2009 - Palgrave-Macmillan.
    Introduction 1 P. D. Magnus and Jacob Busch 1. Form-driven vs. Content-driven Arguments for Realism 8 Juha Saatsi 2. Optimism about the Pessimistic Induction 29 Sherrilyn Roush 3. Metaphysics between the Sciences and Philosophies of Science 59 Anjan Chakravartty 4. Nominalism and Inductive Generalizations 78 Jessica Pfeifer 5. Models and Scientific Representations 94 Otávio Bueno 6. The Identical Rivals Response to Underdetermination 112 Gregory Frost-Arnold and P. D. Magnus 7. Scientific Representation and the Semiotics of Pictures 131 Laura Perini 8. (...)
     
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  8. Scientific Enquiry and Natural Kinds: From Planets to Mallards.P. D. Magnus - 2012 - Palgrave-Macmillan.
    Some scientific categories seem to correspond to genuine features of the world and are indispensable for successful science in some domain; in short, they are natural kinds. This book gives a general account of what it is to be a natural kind and puts the account to work illuminating numerous specific examples.
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  9. Forall X: Calgary. An Introduction to Formal Logic.P. D. Magnus, Tim Button, Aaron Thomas-Bolduc, Richard Zach & Robert Trueman - 2020 - Open Logic Project.
    forall x: Calgary is a full-featured textbook on formal logic. It covers key notions of logic such as consequence and validity of arguments, the syntax of truth-functional propositional logic TFL and truth-table semantics, the syntax of first-order (predicate) logic FOL with identity (first-order interpretations), translating (formalizing) English in TFL and FOL, and Fitch-style natural deduction proof systems for both TFL and FOL. It also deals with some advanced topics such as truth-functional completeness and modal logic. Exercises with solutions are available. (...)
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  10.  28
    Vlastos Exegesis and Argument. Studies in Greek Philosophy Presented to Gregory Vlastos. Ed. E. N. Lee, P. D. Mourelatos and R. M. Rorty. Assen: Van Gorcum & Co.1973. Pp. Xviii + 452. Frontis. Fl. 75. [REVIEW]G. E. R. Lloyd, G. Vlastos, E. N. Lee, P. D. Mourelatos & R. M. Rorty - 1975 - Journal of Hellenic Studies 95:226-227.
  11. NK≠HPC.P. D. Magnus - 2014 - Philosophical Quarterly 64 (256):471-477.
    The Homeostatic Property Cluster (HPC) account of natural kinds has become popular since it was proposed by Richard Boyd in the late 1980s. Although it is often taken as a defining natural kinds as such, it is easy enough to see that something's being a natural kind is neither necessary nor sufficient for its being an HPC. This paper argues that it is better not to understand HPCs as defining what it is to be a natural kind but instead as (...)
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  12. Inductions, Red Herrings, and the Best Explanation for the Mixed Record of Science.P. D. Magnus - 2010 - British Journal for the Philosophy of Science 61 (4):803-819.
    Kyle Stanford has recently claimed to offer a new challenge to scientific realism. Taking his inspiration from the familiar Pessimistic Induction (PI), Stanford proposes a New Induction (NI). Contra Anjan Chakravartty’s suggestion that the NI is a ‘red herring’, I argue that it reveals something deep and important about science. The Problem of Unconceived Alternatives, which lies at the heart of the NI, yields a richer anti-realism than the PI. It explains why science falls short when it falls short, and (...)
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  13.  61
    Ultimate Truth Vis- À- Vis Stable Truth.P. D. Welch - 2008 - Review of Symbolic Logic 1 (1):126-142.
    We show that the set of ultimately true sentences in Hartry Field's Revenge-immune solution model to the semantic paradoxes is recursively isomorphic to the set of stably true sentences obtained in Hans Herzberger's revision sequence starting from the null hypothesis. We further remark that this shows that a substantial subsystem of second-order number theory is needed to establish the semantic values of sentences in Field's relative consistency proof of his theory over the ground model of the standard natural numbers: -CA0 (...)
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  14. What Scientists Know Is Not a Function of What Scientists Know.P. D. Magnus - 2013 - Philosophy of Science 80 (5):840-849.
    There are two senses of ‘what scientists know’: An individual sense (the separate opinions of individual scientists) and a collective sense (the state of the discipline). The latter is what matters for policy and planning, but it is not something that can be directly observed or reported. A function can be defined to map individual judgments onto an aggregate judgment. I argue that such a function cannot effectively capture community opinion, especially in cases that matter to us.
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  15. John Stuart Mill on Taxonomy and Natural Kinds.P. D. Magnus - 2015 - Hopos: The Journal of the International Society for the History of Philosophy of Science 5 (2):269-280.
    The accepted narrative treats John Stuart Mill’s Kinds as the historical prototype for our natural kinds, but Mill actually employs two separate notions: Kinds and natural groups. Considering these, along with the accounts of Mill’s nineteenth-century interlocutors, forces us to recognize two distinct questions. First, what marks a natural kind as worthy of inclusion in taxonomy? Second, what exists in the world that makes a category meet that criterion? Mill’s two notions offer separate answers to the two questions: natural groups (...)
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  16.  96
    Drakes, Seadevils, and Similarity Fetishism.P. D. Magnus - 2011 - Biology and Philosophy 26 (6):857-870.
    Homeostatic property clusters (HPCs) are offered as a way of understanding natural kinds, especially biological species. I review the HPC approach and then discuss an objection by Ereshefsky and Matthen, to the effect that an HPC qua cluster seems ill-fitted as a description of a polymorphic species. The standard response by champions of the HPC approach is to say that all members of a polymorphic species have things in common, namely dispositions or conditional properties. I argue that this response fails. (...)
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  17. What’s New About the New Induction?P. D. Magnus - 2006 - Synthese 148 (2):295-301.
    The problem of underdetermination is thought to hold important lessons for philosophy of science. Yet, as Kyle Stanford has recently argued, typical treatments of it offer only restatements of familiar philosophical problems. Following suggestions in Duhem and Sklar, Stanford calls for a New Induction from the history of science. It will provide proof, he thinks, of "the kind of underdetermination that the history of science reveals to be a distinctive and genuine threat to even our best scientific theories" . This (...)
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  18.  78
    Games for Truth.P. D. Welch - 2009 - Bulletin of Symbolic Logic 15 (4):410-427.
    We represent truth sets for a variety of the well known semantic theories of truth as those sets consisting of all sentences for which a player has a winning strategy in an infinite two person game. The classifications of the games considered here are simple, those over the natural model of arithmetic being all within the arithmetical class of $\Sum_{3}^{0}$.
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  19. On Trusting Wikipedia.P. D. Magnus - 2009 - Episteme 6 (1):74-90.
    Given the fact that many people use Wikipedia, we should ask: Can we trust it? The empirical evidence suggests that Wikipedia articles are sometimes quite good but that they vary a great deal. As such, it is wrong to ask for a monolithic verdict on Wikipedia. Interacting with Wikipedia involves assessing where it is likely to be reliable and where not. I identify five strategies that we use to assess claims from other sources and argue that, to a greater of (...)
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  20.  24
    Some Observations on Truth Hierarchies.P. D. Welch - 2014 - Review of Symbolic Logic 7 (1):1-30.
    We show how in the hierarchies${F_\alpha }$of Fieldian truth sets, and Herzberger’s${H_\alpha }$revision sequence starting from any hypothesis for${F_0}$ that essentially each${H_\alpha }$ carries within it a history of the whole prior revision process.As applications we provide a precise representation for, and a calculation of the length of, possiblepath independent determinateness hierarchiesof Field’s construction with a binary conditional operator. We demonstrate the existence of generalized liar sentences, that can be considered as diagonalizing past the determinateness hierarchies definable in Field’s recent (...)
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  21. Underdetermination and the Claims of Science.P. D. Magnus - 2003 - Dissertation, University of California, San Diego
    The underdetermination of theory by evidence is supposed to be a reason to rethink science. It is not. Many authors claim that underdetermination has momentous consequences for the status of scientific claims, but such claims are hidden in an umbra of obscurity and a penumbra of equivocation. So many various phenomena pass for `underdetermination' that it's tempting to think that it is no unified phenomenon at all, so I begin by providing a framework within which all these worries can be (...)
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  22. Science, Values, and the Priority of Evidence.P. D. Magnus - 2018 - Logos and Episteme 9 (4):413-431.
    It is now commonly held that values play a role in scientific judgment, but many arguments for that conclusion are limited. First, many arguments do not show that values are, strictly speaking, indispensable. The role of values could in principle be filled by a random or arbitrary decision. Second, many arguments concern scientific theories and concepts which have obvious practical consequences, thus suggesting or at least leaving open the possibility that abstruse sciences without such a connection could be value-free. Third, (...)
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  23. Distributed Cognition and the Task of Science.P. D. Magnus - 2007 - Social Studies of Science 37 (2):297--310.
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  24.  23
    Cognitive Complexity and Control: A Theory of the Development of Deliberate Reasoning and Intentional Action.P. D. Zelazo & Douglas Frye - 1997 - In Maxim I. Stamenov (ed.), Language Structure, Discourse, and the Access to Consciousness. John Benjamins.
  25.  10
    Weak Systems of Determinacy and Arithmetical Quasi-Inductive Definitions.P. D. Welch - 2011 - Journal of Symbolic Logic 76 (2):418 - 436.
    We locate winning strategies for various ${\mathrm{\Sigma }}_{3}^{0}$ -games in the L-hierarchy in order to prove the following: Theorem 1. KP+Σ₂-Comprehension $\vdash \exists \alpha L_{\alpha}\ models"\Sigma _{2}-{\bf KP}+\Sigma _{3}^{0}-\text{Determinacy}."$ Alternatively: ${\mathrm{\Pi }}_{3}^{1}\text{\hspace{0.17em}}-{\mathrm{C}\mathrm{A}}_{0}\phantom{\rule{0ex}{0ex}}$ "there is a β-model of ${\mathrm{\Delta }}_{3}^{1}-{\mathrm{C}\mathrm{A}}_{0}\text{\hspace{0.17em}}\text{\hspace{0.17em}}+\text{\hspace{0.17 em}}{\mathrm{\Sigma }}_{3}^{0}$ -Determinacy." The implication is not reversible. (The antecedent here may be replaced with ${\mathrm{\Pi }}_{3}^{1}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\left({\mathrm{\Pi }}_{3}^{1}\right)-{\mathrm{C}\mathrm{A}}_{0}:\text{\hspace{0.17em}}{\mathrm{\Pi }}_{3}^{1}$ instances of Comprehension with only ${\mathrm{\Pi }}_{3}^{1}$ -lightface definable parameters—or even weaker theories.) Theorem 2. KP +Δ₂-Comprehension +Σ₂-Replacement + ${\mathrm{\Sigma }}_{3}^{0}\phantom{\rule{0ex}{0ex}}$ -Determinacy. (Here AQI (...)
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  26.  75
    No Grist for Mill on Natural Kinds.P. D. Magnus - 2014 - Journal for the History of Analytical Philosophy 2 (4).
    According to the standard narrative, natural kind is a technical notion that was introduced by John Stuart Mill in the 1840s and the recent craze for natural kinds, launched by Putnam and Kripke, is a continuation of that tradition. I argue that the standard narrative is mistaken. The Millian tradition of kinds was not particularly influential in the 20th-century, and the Putnam-Kripke revolution did not clearly engage with even the remnants that were left of it. The presently active tradition of (...)
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  27. Towards a Characterization of Minimal Consciousness.P. D. Zelazo - 1996 - New Ideas in Psychology 14:63-80.
  28. Reckoning the Shape of Everything: Underdetermination and Cosmotopology.P. D. Magnus - 2005 - British Journal for the Philosophy of Science 56 (3):541-557.
    This paper offers a general characterization of underdetermination and gives a prima facie case for the underdetermination of the topology of the universe. A survey of several philosophical approaches to the problem fails to resolve the issue: the case involves the possibility of massive reduplication, but Strawson on massive reduplication provides no help here; it is not obvious that any of the rival theories are to be preferred on grounds of simplicity; and the usual talk of empirically equivalent theories misses (...)
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  29.  43
    On Gupta-Belnap Revision Theories of Truth, Kripkean Fixed Points, and the Next Stable Set.P. D. Welch - 2001 - Bulletin of Symbolic Logic 7 (3):345-360.
    We consider various concepts associated with the revision theory of truth of Gupta and Belnap. We categorize the notions definable using their theory of circular definitions as those notions universally definable over the next stable set. We give a simplified account of varied revision sequences-as a generalised algorithmic theory of truth. This enables something of a unification with the Kripkean theory of truth using supervaluation schemes.
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  30.  26
    The Complexity of the Dependence Operator.P. D. Welch - 2015 - Journal of Philosophical Logic 44 (3):337-340.
    We show that Leitgeb’s dependence operator of Leitgeb is a \-operator and that this is best possible.
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  31.  73
    The Extent of Computation in Malament–Hogarth Spacetimes.P. D. Welch - 2008 - British Journal for the Philosophy of Science 59 (4):659-674.
    We analyse the extent of possible computations following Hogarth ([2004]) conducted in Malament–Hogarth (MH) spacetimes, and Etesi and Németi ([2002]) in the special subclass containing rotating Kerr black holes. Hogarth ([1994]) had shown that any arithmetic statement could be resolved in a suitable MH spacetime. Etesi and Németi ([2002]) had shown that some relations on natural numbers that are neither universal nor co-universal, can be decided in Kerr spacetimes, and had asked specifically as to the extent of computational limits there. (...)
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  32.  1
    The Route of Parmenides.Alexander P. D. Mourelatos - 1970 - New Haven: Yale University Press.
    Analyzes the poem "On Nature" by Parmenides, arguing that is actually a philosophical argument disguised as Homer-like mythological journey. Original.
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  33. Judging Covers.P. D. Magnus, Cristyn Magnus & Christy Mag Uidhir - 2013 - Journal of Aesthetics and Art Criticism 71 (4):361-370.
    Cover versions form a loose but identifiable category of tracks and performances. We distinguish four kinds of covers and argue that they mark important differences in the modes of evaluation that are possible or appropriate for each: mimic covers, which aim merely to echo the canonical track; rendition covers, which change the sound of the canonical track; transformative covers, which diverge so much as to instantiate a distinct, albeit derivative song; and referential covers, which not only instantiate a distinct song, (...)
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  34. Williamson on Knowledge and Psychological Explanation.P. D. Magnus & Jonathan Cohen - 2003 - Philosophical Studies 116 (1):37-52.
    According to many philosophers, psychological explanation canlegitimately be given in terms of belief and desire, but not in termsof knowledge. To explain why someone does what they do (so the common wisdom holds) you can appeal to what they think or what they want, but not what they know. Timothy Williamson has recently argued against this view. Knowledge, Williamson insists, plays an essential role in ordinary psychological explanation.Williamson's argument works on two fronts.First, he argues against the claim that, unlike knowledge, (...)
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  35.  98
    Success, Truth and the Galilean Strategy.P. D. Magnus - 2003 - British Journal for the Philosophy of Science 54 (3):465-474.
    Philip Kitcher develops the Galilean Strategy to defend realism against its many opponents. I explore the structure of the Galilean Strategy and consider it specifically as an instrument against constructive empiricism. Kitcher claims that the Galilean Strategy underwrites an inference from success to truth. We should resist that conclusion, I argue, but the Galilean Strategy should lead us by other routes to believe in many things about which the empiricist would rather remain agnostic. 1 Target: empiricism 2 The Galilean Strategy (...)
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  36.  52
    Global Reflection Principles.P. D. Welch - unknown
    Reflection Principles are commonly thought to produce only strong axioms of infinity consistent with V = L. It would be desirable to have some notion of strong reflection to remedy this, and we have proposed Global Reflection Principles based on a somewhat Cantorian view of the universe. Such principles justify the kind of cardinals needed for, inter alia , Woodin’s Ω-Logic.
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  37. Kind of Borrowed, Kind of Blue.P. D. Magnus - 2016 - Journal of Aesthetics and Art Criticism 74 (2):179-185.
    In late 2014, the jazz combo Mostly Other People Do the Killing released Blue—an album that is a note-for-note remake of Miles Davis's 1959 landmark album Kind of Blue. This is a thought experiment made concrete, raising metaphysical puzzles familiar from discussion of indiscernible counterparts. It is an actual album, rather than merely a concept, and so poses the aesthetic puzzle of why one would ever actually listen to it.
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  38. Peirce: Underdetermination, Agnosticism, and Related Mistakes.P. D. Magnus - 2005 - Inquiry: An Interdisciplinary Journal of Philosophy 48 (1):26 – 37.
    There are two ways that we might respond to the underdetermination of theory by data. One response, which we can call the agnostic response, is to suspend judgment: "Where scientific standards cannot guide us, we should believe nothing". Another response, which we can call the fideist response, is to believe whatever we would like to believe: "If science cannot speak to the question, then we may believe anything without science ever contradicting us". C.S. Peirce recognized these options and suggested evading (...)
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  39. Underdetermination and the Problem of Identical Rivals.P. D. Magnus - 2003 - Philosophy of Science 70 (5):1256-1264.
    If two theory formulations are merely different expressions of the same theory, then any problem of choosing between them cannot be due to the underdetermination of theories by data. So one might suspect that we need to be able to tell distinct theories from mere alternate formulations before we can say anything substantive about underdetermination, that we need to solve the problem of identical rivals before addressing the problem of underdetermination. Here I consider two possible solutions: Quine proposes that we (...)
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  40.  59
    Truth, Logical Validity and Determinateness: A Commentary on Field’s Saving Truth From Paradox.P. D. Welch - 2011 - Review of Symbolic Logic 4 (3):348-359.
    We consider notions of truth and logical validity defined in various recent constructions of Hartry Field. We try to explicate his notion of determinate truth by clarifying the path-dependent hierarchies of his determinateness operator.
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  41.  41
    On the Structure of Quantum Logic.P. D. Finch - 1969 - Journal of Symbolic Logic 34 (2):275-282.
  42.  47
    Historical Individuals Like Anas Platyrhynchos and 'Classical Gas'.P. D. Magnus - 2013 - In Christy Mag Uidhir (ed.), Art and Abstract Objects. Oxford University Press. pp. 108.
    In this paper, I explore and defend the idea that musical works are historical individuals. Guy Rohrbaugh (2003) proposes this for works of art in general. Julian Dodd (2007) objects that the whole idea is outré metaphysics, that it is too far beyond the pale to be taken seriously. Their disagreement could be seen as a skirmish in the broader war between revisionists and reactionaries, a conflict about which of metaphysics and art should trump the other when there is a (...)
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  43.  76
    Science and Rationality for One and All.P. D. Magnus - 2014 - Ergo 1 (5):129-138.
    It seems obvious that a community of one thousand scientists working together to make discoveries and solve puzzles should arrange itself differently than would one thousand scientist-hermits working independently. Because of limited time, resources, and attention, an independent scientist can explore only some of the possible approaches to a problem. Working alone, each hermit would explore the most promising approaches. They would needlessly duplicate the work of others and would be unlikely to develop approaches which look unpromising but really have (...)
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  44.  42
    On Revision Operators.P. D. Welch - 2003 - Journal of Symbolic Logic 68 (2):689-711.
    We look at various notions of a class of definability operations that generalise inductive operations, and are characterised as “revision operations”. More particularly we: (i) characterise the revision theoretically definable subsets of a countable acceptable structure; (ii) show that the categorical truth set of Belnap and Gupta’s theory of truth over arithmetic using \emph{fully varied revision} sequences yields a complete \Pi13 set of integers; (iii) the set of \emph{stably categorical} sentences using their revision operator ψ is similarly \Pi13 and which (...)
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  45. Events, Processes, and States.Alexander P. D. Mourelatos - 1978 - Linguistics and Philosophy 2 (3):415 - 434.
    The familiar Vendler-Kenny scheme of verb-types, viz., performances (further differentiated by Vedler into accomplishments and achievements), activities, and states, is too narrow in two important respects. First, it is narrow linguistically. It fails to take into account the phenomenon of verb aspect. The trichotomy is not one of verbs as lexical types but of predications. Second, the trichotomy is narrow ontologically. It is a specification in the context of human agency of the more fundamental, topic-neutral trichotomy, event-process-state.The central component in (...)
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  46. Demonstrative Induction and the Skeleton of Inference.P. D. Magnus - 2008 - International Studies in the Philosophy of Science 22 (3):303-315.
    It has been common wisdom for centuries that scientific inference cannot be deductive; if it is inference at all, it must be a distinctive kind of inductive inference. According to demonstrative theories of induction, however, important scientific inferences are not inductive in the sense of requiring ampliative inference rules at all. Rather, they are deductive inferences with sufficiently strong premises. General considerations about inferences suffice to show that there is no difference in justification between an inference construed demonstratively or ampliatively. (...)
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  47. Background Theories and Total Science.P. D. Magnus - 2005 - Philosophy of Science 72 (5):1064-1075.
    Background theories in science are used both to prove and to disprove that theory choice is underdetermined by data. The alleged proof appeals to the fact that experiments to decide between theories typically require auxiliary assumptions from other theories. If this generates a kind of underdetermination, it shows that standards of scientific inference are fallible and must be appropriately contextualized. The alleged disproof appeals to the possibility of suitable background theories to show that no theory choice can be timelessly or (...)
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  48. Reid's Defense of Common Sense.P. D. Magnus - 2008 - Philosophers' Imprint 8:1-14.
    Thomas Reid is often misread as defending common sense, if at all, only by relying on illicit premises about God or our natural faculties. On these theological or reliabilist misreadings, Reid makes common sense assertions where he cannot give arguments. This paper attempts to untangle Reid's defense of common sense by distinguishing four arguments: (a) the argument from madness, (b) the argument from natural faculties, (c) the argument from impotence, and (d) the argument from practical commitment. Of these, (a) and (...)
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  49.  79
    Reid's Dilemma and the Uses of Pragmatism.P. D. Magnus - 2004 - Journal of Scottish Philosophy 2 (1):69-72.
    Peter Baumann offers the tantalizing suggestion that Thomas Reid is almost, but not quite, a pragmatist. He motivates this claim by posing a dilemma for common sense philosophy: Will it be dogmatism or scepticism? Baumann claims that Reid points to but does not embrace a pragmatist third way between these unsavory options. If we understand `pragmatism' differently than Baumann does, however, we need not be so equivocal in attributing it to Reid. Reid makes what we could call an argument from (...)
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  50.  40
    Eventually Infinite Time Turing Machine Degrees: Infinite Time Decidable Reals.P. D. Welch - 2000 - Journal of Symbolic Logic 65 (3):1193-1203.
    We characterise explicitly the decidable predicates on integers of Infinite Time Turing machines, in terms of admissibility theory and the constructible hierarchy. We do this by pinning down ζ, the least ordinal not the length of any eventual output of an Infinite Time Turing machine (halting or otherwise); using this the Infinite Time Turing Degrees are considered, and it is shown how the jump operator coincides with the production of mastercodes for the constructible hierarchy; further that the natural ordinals associated (...)
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