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Samuel Alexander [19]Samuel A. Alexander [2]
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Profile: Samuel Alexander (Ohio State University)
  1. Samuel Alexander (forthcoming). Guessing, Mind-Changing, and the Second Ambiguous Class. Notre Dame Journal of Formal Logic.
    In his dissertation, Wadge defined a notion of guessability on subsets of the Baire space and gave two characterizations of guessable sets. A set is guessable iff it is in the second ambiguous class (boldface Delta^0_2), iff it is eventually annihilated by a certain remainder. We simplify this remainder and give a new proof of the latter equivalence. We then introduce a notion of guessing with an ordinal limit on how often one can change one's mind. We show that for (...)
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  2. Samuel A. Alexander (2014). A Machine That Knows Its Own Code. Studia Logica 102 (3):567-576.
    We construct a machine that knows its own code, at the price of not knowing its own factivity.
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  3. Samuel Alexander (2013). An Axiomatic Version of Fitch's Paradox. Synthese 190 (12):2015-2020.
    A variation of Fitch’s paradox is given, where no special rules of inference are assumed, only axioms. These axioms follow from the familiar assumptions which involve rules of inference. We show (by constructing a model) that by allowing that possibly the knower doesn’t know his own soundness (while still requiring he be sound), Fitch’s paradox is avoided. Provided one is willing to admit that sound knowers may be ignorant of their own soundness, this might offer a way out of the (...)
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  4. Samuel Alexander (2013). Biologically Unavoidable Sequences. Electronic Journal of Combinatorics 20 (1):1-13.
    A biologically unavoidable sequence is an infinite gender sequence which occurs in every gendered, infinite genealogical network satisfying certain tame conditions. We show that every eventually periodic sequence is biologically unavoidable (this generalizes König's Lemma), and we exhibit some biologically avoidable sequences. Finally we give an application of unavoidable sequences to cellular automata.
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  5. Samuel Alexander (2013). Fast-Collapsing Theories. Studia Logica:1-21.
    Reinhardt’s conjecture, a formalization of the statement that a truthful knowing machine can know its own truthfulness and mechanicalness, was proved by Carlson using sophisticated structural results about the ordinals and transfinite induction just beyond the first epsilon number. We prove a weaker version of the conjecture, by elementary methods and transfinite induction up to a smaller ordinal.
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  6. Samuel Alexander (2013). Infinite Graphs in Systematic Biology, with an Application to the Species Problem. Acta Biotheoretica 61 (2):181--201.
    We argue that C. Darwin and more recently W. Hennig worked at times under the simplifying assumption of an eternal biosphere. So motivated, we explicitly consider the consequences which follow mathematically from this assumption, and the infinite graphs it leads to. This assumption admits certain clusters of organisms which have some ideal theoretical properties of species, shining some light onto the species problem. We prove a dualization of a law of T.A. Knight and C. Darwin, and sketch a decomposition result (...)
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  7. Samuel Alexander (2013). The First-Order Syntax of Variadic Functions. Notre Dame Journal of Formal Logic 54 (1):47-59.
    We extend first-order logic to include variadic function symbols, and prove a substitution lemma. Two applications are given: one to bounded quantifier elimination and one to the definability of certain Borel sets.
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  8. Samuel Alexander (2013). This Sentence Does Not Contain the Symbol X. The Reasoner 7 (9):108.
    A suprise may occur if we use a similar strategy to the Liar's paradox to mathematically formalize "This sentence does not contain the symbol X".
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  9. Samuel Alexander (2013). Voluntary Simplicity and the Social Reconstruction of Law: Degrowth From the Grassroots Up. Environmental Values 22 (2):287-308.
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  10. Samuel Alexander (2012). A Purely Epistemological Version of Fitch's Paradox. The Reasoner 6 (4):59-60.
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  11. Samuel Alexander (2011). A Paradox Related to the Turing Test. The Reasoner 5 (6):90-90.
  12. Samuel Alexander (2006). Formulas for Computable and Non-Computable Functions. Rose-Hulman Undergraduate Mathematics Journal 7 (2).
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  13. Samuel A. Alexander (1982). Tree Pathology Text Tree Disease Concepts Paul D. Manion. BioScience 32 (4):288-288.
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  14. Samuel Alexander (1968). Beauty and Other Forms of Value. New York, Crowell.
     
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  15. Samuel Alexander (1966). Space, Time. London, Macmillan.
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  16. Samuel Alexander (1939/1970). Philosophical and Literary Pieces. Westport, Conn.,Greenwood Press.
  17. Samuel Alexander (1928). Artistic Creation and Cosmic Creation. London, H. Milford.
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  18. Samuel Alexander (1927/1978). Art and Instinct. R. West.
     
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  19. Samuel Alexander (1920/1966). Space, Time, and Deity: The Gifford Lectures at Glasgow 1916-1918. Dover Publications.
  20. Samuel Alexander (1909). Ptolemaic and Copernican Views of the Place of Mind in the Universe. Hibbert Journal 8:47-66.
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  21. Samuel Alexander (1908/1970). Locke. Port Washington, N.Y.,Kennikat Press.