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Showing 1 to 20 of 158 for “"Set theory."”.

  1. Some results in set theory

    L'abstract è presente nell'allegato / the abstract is in the attachment

    poli-torino Repository record for Some results in set theory (opens in a new tab)

  2. SET THEORY FOR KNOWLEDGE REPRESENTATION

    The decision problem in set theory has been intensively investigated in the last decades, and decision procedures or proofs of undecidability have been provided for several quantified and unquantified fragments of set theory. In this thesis we study the decision problem for three novel quantified …

    catania Repository record for SET THEORY FOR KNOWLEDGE REPRESENTATION (opens in a new tab)

  3. Constructibility in impredicative set theory.

    Massachusetts Institute of Technology. Dept. of Mathematics. Thesis. 1965. Ph.D.

    mit Repository record for Constructibility in impredicative set theory. (opens in a new tab)

  4. Tripos models of Internal Set Theory

    … to make sense of models of E. Nelson’s Internal Set Theory (and hence of nonstandard analysis) in elementary toposes by exploiting the technology of tripos theory and Lawvere’s hyperdoctrines. A new doctrinal account of nonstandard phenomena is described, which avoids a few key restrictions in …

    cambridge Repository record for Tripos models of Internal Set Theory (opens in a new tab)

  5. Subsystems of set theory and analysis

    Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1967.

    mit Repository record for Subsystems of set theory and analysis (opens in a new tab)

  6. Complexity hierarchies in generalized descriptive set theory

    Within the framework of generalized descriptive set theory, we conduct a systematic analysis of several hierarchies of classes of sets and functions. At the level of sets, we study the Borel hierarchy, the difference hierarchy, and the Wadge hierarchy; at the level of functions, we examine the …

    poli-torino Repository record for Complexity hierarchies in generalized descriptive set theory (opens in a new tab)

  7. A non-well-founded set theory (GST)

    Open Restriction set for Item 19544 on 2020-11-02T17:15:11Z with date null by astein@illinois.edu.

    uiuc Repository record for A non-well-founded set theory (GST) (opens in a new tab)

  8. Pointwise ergodic theorems via descriptive set theory

    Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2024-05-01

    uiuc Repository record for Pointwise ergodic theorems via descriptive set theory (opens in a new tab)

  9. Independence and conservativity results for intuitionistic set theory

    … realizability to intuitionistic Zermelo-Fraenkel set theory with two sorts, IZFN. In addition to separating Church's thesis with uniqueness condition from its general form in intuitionistic set theory, I also obtain several interesting corollaries. The interpretation repudiates a weak form of …

    whiterose Repository record for Independence and conservativity results for intuitionistic set theory (opens in a new tab)

  10. An Account of the Development of Set Theory

    Made available in DSpace on 2014-12-10T18:48:35Z (GMT). No. of bitstreams: 1 7514128.pdf: 11174849 bytes, checksum: a1737e2f81201f15ed6148eb4a3d49fb (MD5) Previous issue date: 1975

    uiuc Repository record for An Account of the Development of Set Theory (opens in a new tab)

  11. Transfinite Sequences of Axiom Systems for Set Theory

    Made available in DSpace on 2014-12-09T22:17:43Z (GMT). No. of bitstreams: 1 6808241.pdf: 1998340 bytes, checksum: d9b52b03ffc0b694a65007e65b1b0a0d (MD5) Previous issue date: 1967

    uiuc Repository record for Transfinite Sequences of Axiom Systems for Set Theory (opens in a new tab)

  12. Coloring problems in combinatorics and descriptive set theory

    … context and in the framework of descriptive set theory, with applications to topological dynamics and ergodic theory. This work consists of two parts, each of which is in turn split into a number of chapters. Although the individual chapters are largely independent from each other (with the …

    uiuc Repository record for Coloring problems in combinatorics and descriptive set theory (opens in a new tab)

  13. Axiomatization and Incompleteness in Arithmetic and Set Theory

    … and Incompleteness in Arithmetic and Set Theory Wesley Duncan Wrigley I argue that are (at least) two distinct kinds of mathematical incompleteness. Part A of the thesis discusses Gödelian incompleteness, while Part B is concerned with set-theoretic incompleteness. Both parts are …

    cambridge Repository record for Axiomatization and Incompleteness in Arithmetic and Set Theory (opens in a new tab)

  14. An investment analysis model using fuzzy set theory

    … and non-economic, tangible and intangible. Fuzzy set theory provides an alternative to probability theory for handling uncertainty, while at the same time being able to handle imprecision. It also provides a means of closing the gap between the human thought process and the computer, by enabling …

    vt Repository record for An investment analysis model using fuzzy set theory (opens in a new tab)

  15. Internal Set Theory and Euler's Introductio in Analysin Infinitorum

    … (NSA); in particular, we will use Internal Set Theory, Edward Nelson's distinctive version of NSA. We will specifically examine Euler's proofs of the Euler formula, the Euler product, the Wallis product and the divergence of the harmonic series. All of these results have been proved in …

    ohiolink Repository record for Internal Set Theory and Euler's Introductio in Analysin Infinitorum (opens in a new tab)

  16. Aspects of Large Cardinals (Set Theory, Logic, Measurable, Strongly Compact, Extendible)

    This paper deals with three subjects in set theory. Chapter I concerns a categorical representation of measurable cardinals. The result answers Girard's presumption "The solution to make the order relation between dilators total will be connected to large cardinal axioms, if it exists" negatively. …

    uiuc Repository record for Aspects of Large Cardinals (Set Theory, Logic, Measurable, Strongly Compact, Extendible) (opens in a new tab)

  17. A relatively small turing machine whose behavior is independent of set theory

    Since the definition of the Busy Beaver function by Radó in 1962, an interesting open question has been what the smallest value of n for which BB(n) is independent of ZFC. Is this n approximately 10, or closer to 1,000,000, or is it unfathomably large? In this thesis, I show that it is at most …

    mit Repository record for A relatively small turing machine whose behavior is independent of set theory (opens in a new tab)

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