38 found
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  1.  27
    Limits of Inquiry.William Boos - 1983 - Erkenntnis 20 (2):157 - 194.
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  2. Mathematical Quantum Theory I: Random Ultrafilters as Hidden Variables.William Boos - 1996 - Synthese 107 (1):83 - 143.
    The basic purpose of this essay, the first of an intended pair, is to interpret standard von Neumann quantum theory in a framework of iterated measure algebraic truth for mathematical (and thus mathematical-physical) assertions — a framework, that is, in which the truth-values for such assertions are elements of iterated boolean measure-algebras (cf. Sections 2.2.9, 5.2.1–5.2.6 and 5.3 below).The essay itself employs constructions of Takeuti's boolean-valued analysis (whose origins lay in work of Scott, Solovay, Krauss and others) to provide a (...)
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  3.  28
    A Self-Referential 'Cogito'.William Boos - 1983 - Philosophical Studies 44 (2):269 - 290.
  4.  15
    Boolean Extensions Which Efface the Mahlo Property.William Boos - 1974 - Journal of Symbolic Logic 39 (2):254-268.
  5. The Utopian Communism of William Morris.Florence Boos & William Boos - 1986 - History of Political Thought 7 (3):489-510.
  6.  41
    The Transzendenz of Mathematical 'Experience'.William Boos - 1998 - Synthese 114 (1):49-98.
  7.  32
    Consistency and Konsistenz.William Boos - 1987 - Erkenntnis 26 (1):1 - 43.
    A ground-motive for this study of some historical and metaphysical implications of the diagonal lemmas of Cantor and Gödel is Cantor's insightful remark to Dedekind in 1899 that the Inbegriff alles Denkbaren (aggregate of everything thinkable) might, like some class-theoretic entities, be inkonsistent. In the essay's opening sections, I trace some recent antecedents of Cantor's observation in logical writings of Bolzano and Dedekind (more remote counterparts of his language appear in the First Critique), then attempt to relativize the notion of (...)
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  8.  14
    Theory‐Relative Skepticism.William Boos - 1987 - Dialectica 41 (3):175-207.
    SummaryThis essay explores analogies between classical notions of pyrrhonist skepticism and reflexive phenomena of twentieth‐century metamathematics. In a theoretical framework T, for example, one may interpret1T's appearances () as its axioms;2evident and inevident assertions () in the language L of T as sentences 0 which are decidable and undecidable in T; and3skeptical self ‐doubt about T in L as T's Godel‐sentence γ .These analogies complement another one, between pyrrhonist ‘modes’() of indefinite semantic regress (), and recurrent appeals to ‘new’ metatheories (...)
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  9.  4
    A Metalogical Critique of Wittgensteinian 'Phenomenology'.William Boos - 2004 - In D. Kolak & J. Symons (eds.), Quantifiers, Questions and Quantum Physics. Springer. pp. 75--99.
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  10.  8
    4. Anselm, Fides Quaerens Interpretationem, and Grenzideen as Generators of Metatheoretic Ascent.William Boos - 2018 - In Metamathematics and the Philosophical Tradition. De Gruyter. pp. 131-159.
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  11. Bibliography.William Boos - 2018 - In Metamathematics and the Philosophical Tradition. De Gruyter. pp. 443-454.
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  12. 6. Berkeleyan Metalogical “Signs” and “Master Arguments”.William Boos - 2018 - In Metamathematics and the Philosophical Tradition. De Gruyter. pp. 186-232.
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  13.  4
    Contents.William Boos - 2018 - In Metamathematics and the Philosophical Tradition. De Gruyter.
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  14. Catherine Wilson, Descartes' Meditations: An Introduction Reviewed By.William Boos - 2004 - Philosophy in Review 24 (5):385-387.
     
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  15. Catherine Wilson, Descartes' Meditations: An Introduction. [REVIEW]William Boos - 2004 - Philosophy in Review 24:385-387.
     
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  16.  1
    Editorial Remarks.William Boos - 2018 - In Metamathematics and the Philosophical Tradition. De Gruyter.
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  17.  1
    Frontmatter.William Boos - 2018 - In Metamathematics and the Philosophical Tradition. De Gruyter.
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  18.  1
    Foreign Words Index.William Boos - 2018 - In Metamathematics and the Philosophical Tradition. De Gruyter. pp. 477-482.
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  19.  1
    1. Introduction: Boundaries of Experience.William Boos - 2018 - In Metamathematics and the Philosophical Tradition. De Gruyter. pp. 1-67.
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  20.  28
    Infinitary Compactness Without Strong Inaccessibility.William Boos - 1976 - Journal of Symbolic Logic 41 (1):33-38.
  21.  6
    Index of Names.William Boos - 2018 - In Metamathematics and the Philosophical Tradition. De Gruyter. pp. 455-458.
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  22.  2
    8. Kantian Ethics and “the Fate of Reason”.William Boos - 2018 - In Metamathematics and the Philosophical Tradition. De Gruyter. pp. 306-381.
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  23.  1
    Metamathematics and the Philosophical Tradition.William Boos - 2018 - De Gruyter.
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  24.  4
    Main Index.William Boos - 2018 - In Metamathematics and the Philosophical Tradition. De Gruyter. pp. 459-476.
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  25.  1
    9. Metamathematical Interpretations of Free Will and Determinism.William Boos - 2018 - In Metamathematics and the Philosophical Tradition. De Gruyter. pp. 382-405.
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  26.  2
    Preface.William Boos - 2018 - In Metamathematics and the Philosophical Tradition. De Gruyter.
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  27.  6
    5. “Parfaits Miroirs de L’Univers”: A “Virtual” Interpretation of Leibnizian Metaphysics.William Boos - 2018 - In Metamathematics and the Philosophical Tradition. De Gruyter. pp. 160-185.
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  28.  43
    Parfaits Miroirs de L'Univers'': A `Virtual' Interpretation of Leibnizian Metaphysics.William Boos - 2003 - Synthese 136 (2):281 - 304.
  29.  10
    Parfaits Miroirs De L'univers'': A `Virtual' Interpretation of Leibnizian Metaphysics.William Boos - 2003 - Synthese 136 (2):281-304.
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  30.  23
    Reflective Inquiry and “The Fate of Reason”.William Boos - 2014 - Synthese 191 (18):4253-4314.
    What particular privilege has this little Agitation of the Brain which we call Thought, that we must make it the Model of the whole Universe? (Hume, Dialogues Concerning Natural Religion, 1976, p. 168)******...at once it struck me, what quality went to form a Man (sic) of Achievement especially in Literature and which Shakespeare possessed so enormously—I mean Negative Capability, that is when someone is capable of being in uncertainties, Mysteries, doubts without any irritable reaching after fact and reason. (Keats 1959, (...)
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  31. 10. Time-Evolution in Random “Universes”.William Boos - 2018 - In Metamathematics and the Philosophical Tradition. De Gruyter. pp. 406-442.
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  32.  9
    7. The Second-Order Idealism of David Hume.William Boos - 2018 - In Metamathematics and the Philosophical Tradition. De Gruyter. pp. 233-305.
  33.  2
    3. The Stoics, the Skeptics and Aporetic Autonomy: Is “What Is In Our Power” In Our Power?William Boos - 2018 - In Metamathematics and the Philosophical Tradition. De Gruyter. pp. 105-130.
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  34.  67
    The World, the Flesh and the Argument From Design.William Boos - 1994 - Synthese 101 (1):15 - 52.
    In the the passage just quoted from theDialogues concerning Natural Religion, David Hume developed a thought-experiment that contravened his better-known views about chance expressed in hisTreatise and firstEnquiry.For among other consequences of the eternal-recurrence hypothesis Philo proposes in this passage, it may turn out that what the vulgar call cause is nothing but a secret and concealed chance.
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  35.  68
    The World, the Flesh and the Argument From Design.William Boos - 1995 - Synthese 104 (2):15 - 52.
    In the the passage just quoted from the Dialogues concerning Natural Religion, David Hume developed a thought-experiment that contravened his better-known views about "chance" expressed in his Treatise and first Enquiry. For among other consequences of the 'eternal-recurrence' hypothesis Philo proposes in this passage, it may turn out that what the vulgar call cause is nothing but a secret and concealed chance. (In this sentence, I have simply reversed "cause" and "chance" in a well-known passage from Hume's Treatise, p. 130). (...)
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  36.  42
    Virtual Modality. [REVIEW]William Boos - 2003 - Synthese 136 (3):435 - 491.
    Model-theoretic 1-types overa given first-order theory T may be construed as natural metalogical miniatures of G. W. Leibniz' ``complete individual notions'', ``substances'' or ``substantial forms''. This analogy prompts this essay's modal semantics for an essentiallyundecidable first-order theory T, in which one quantifies over such ``substances'' in a boolean universe V(C), where C is the completion of the Lindenbaum-algebra of T.More precisely, one can define recursively a set-theoretic translate of formulae N of formulae of a normal modal theory Tm based on (...)
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  37.  9
    Virtual Modality.William Boos - 2003 - Synthese 136 (3):435-492.
    Model-theoretic 1-types overa given first-order theory T may be construed as natural metalogical miniatures of G. W. Leibniz' ``complete individual notions'', ``substances'' or ``substantial forms''. This analogy prompts this essay's modal semantics for an essentiallyundecidable first-order theory T, in which one quantifies over such ``substances'' in a boolean universe V, where C is the completion of the Lindenbaum-algebra of T.More precisely, one can define recursively a set-theoretic translate of formulae νNϕ of formulae ν of a normal modal theory Tm based (...)
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  38.  2
    2. “Was Blind, But Now I See”: Ramifications of Plato’s “Line”.William Boos - 2018 - In Metamathematics and the Philosophical Tradition. De Gruyter. pp. 68-104.
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