Log in

Relevant bibliographies by topics / Set Theory / Journal articles

Journal articles on the topic 'Set Theory'

To see the other types of publications on this topic, follow the link: Set Theory.

Author: Grafiati

Published: 4 June 2021

Last updated: 1 August 2024

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 50 journal articles for your research on the topic 'Set Theory.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

1

Farah, Ilijas, Sy-David Friedman, Menachem Magidor, and W. Hugh Woodin. "Set Theory." Oberwolfach Reports 11, no. 1 (2014): 91–144. http://dx.doi.org/10.4171/owr/2014/02.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

Farah, Ilijas, Sy-David Friedman, Ralf-Dieter Schindler, and W. Hugh Woodin. "Set Theory." Oberwolfach Reports 14, no. 1 (January 2, 2018): 527–89. http://dx.doi.org/10.4171/owr/2017/11.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

Farah, Ilijas, Ralf-Dieter Schindler, Dima Sinapova, and W. Hugh Woodin. "Set Theory." Oberwolfach Reports 17, no. 2 (July 1, 2021): 797–855. http://dx.doi.org/10.4171/owr/2020/14.

Full text

APA, Harvard, Vancouver, ISO, and other styles

4

Neidhöfer, Christoph. "Set Theory." Zeitschrift der Gesellschaft für Musiktheorie [Journal of the German-Speaking Society of Music Theory] 1–2, no. 2/2–3 (2005): 219–27. http://dx.doi.org/10.31751/530.

Full text

APA, Harvard, Vancouver, ISO, and other styles

5

Merrell, Patrick. "Set Theory." Scientific American 295, no. 6 (December 2006): 110. http://dx.doi.org/10.1038/scientificamerican1206-110.

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

Farah, Ilijas, Ralf Schindler, Dima Sinapova, and W. Hugh Woodin. "Set Theory." Oberwolfach Reports 19, no. 1 (March 10, 2023): 79–106. http://dx.doi.org/10.4171/owr/2022/2.

Full text

APA, Harvard, Vancouver, ISO, and other styles

7

Hajek, P., and Z. Hanikova. "Interpreting lattice-valued set theory in fuzzy set theory." Logic Journal of IGPL 21, no. 1 (July 18, 2012): 77–90. http://dx.doi.org/10.1093/jigpal/jzs023.

Full text

APA, Harvard, Vancouver, ISO, and other styles

8

Jiang, Jingying. "From Set Theory to the Axiomatization of Set Theory." Highlights in Science, Engineering and Technology 88 (March 29, 2024): 243–47. http://dx.doi.org/10.54097/nbmg4652.

Full text

Abstract:

Axiomatic set theory was created by German mathematician Zermelo as a strategy for addressing and resolving paradoxes in the field of mathematical study. By adopting this strategy, the axiomatic technique will be applied to set theory. The person argues that Cantor's failure to impose restrictions on the idea of a set is the cause of the dilemma. They also claim that Cantor's definition of a set is unclear. Both of these arguments are predicated on the idea that Cantor neglected to place limitations on the idea of a set. Zermelo hypothesized that the condensed version of the axioms would make it easier to define a set and elaborate on its properties, and he was correct in his prediction. The creation of an axiomatization for set theory is the first of this research's main goals. Second, the investigation of various set theory development methods in comparison to one another. Even though there are intriguing puzzles in the field of set theory that have not yet been solved, the axiomatization of set theory is widely regarded as a significant accomplishment in the field.

APA, Harvard, Vancouver, ISO, and other styles

9

Takeuti, Gaisi. "Proof theory and set theory." Synthese 62, no. 2 (February 1985): 255–63. http://dx.doi.org/10.1007/bf00486049.

Full text

APA, Harvard, Vancouver, ISO, and other styles

10

Slater, Hartley. "Aggregate Theory Versus Set Theory." Philosophia Scientae, no. 9-2 (November 1, 2005): 131–44. http://dx.doi.org/10.4000/philosophiascientiae.530.

Full text

APA, Harvard, Vancouver, ISO, and other styles

11

Potter, M. D. "Iterative Set Theory." Philosophical Quarterly 43, no. 171 (April 1993): 178. http://dx.doi.org/10.2307/2220368.

Full text

APA, Harvard, Vancouver, ISO, and other styles

12

Lord, Nick, John C. Morgan, D. N. Dikranjan, I. R. Prodanov, and L. N. Stoyanov. "Point Set Theory." Mathematical Gazette 75, no. 473 (October 1991): 397. http://dx.doi.org/10.2307/3619553.

Full text

APA, Harvard, Vancouver, ISO, and other styles

13

Shelah, Saharon. "Applying Set Theory." Axioms 10, no. 4 (November 30, 2021): 329. http://dx.doi.org/10.3390/axioms10040329.

Full text

Abstract:

We prove some results in set theory as applied to general topology and model theory. In particular, we study ℵ1-collectionwise Hausdorff, Chang Conjecture for logics with Malitz-Magidor quantifiers and monadic logic of the real line by odd/even Cantor sets.

APA, Harvard, Vancouver, ISO, and other styles

14

Fletcher, Peter. "Nonstandard set theory." Journal of Symbolic Logic 54, no. 3 (September 1989): 1000–1008. http://dx.doi.org/10.2307/2274759.

Full text

Abstract:

AbstractNonstandard set theory is an attempt to generalise nonstandard analysis to cover the whole of classical mathematics. Existing versions (Nelson, Hrbáček, Kawai) are unsatisfactory in that the unlimited idealisation principle conflicts with the wish to have a full theory of external sets.I re-analyse the underlying requirements of nonstandard set theory and give a new formal system, stratified nonstandard set theory, which seems to meet them better than the other versions.

APA, Harvard, Vancouver, ISO, and other styles

15

Kirby, Laurence. "Finitary Set Theory." Notre Dame Journal of Formal Logic 50, no. 3 (July 2009): 227–44. http://dx.doi.org/10.1215/00294527-2009-009.

Full text

APA, Harvard, Vancouver, ISO, and other styles

16

OLIVER, ALEX, and TIMOTHY SMILEY. "CANTORIAN SET THEORY." Bulletin of Symbolic Logic 24, no. 4 (December 2018): 393–451. http://dx.doi.org/10.1017/bsl.2018.10.

Full text

Abstract:

AbstractAlmost all set theorists pay at least lip service to Cantor’s definition of a set as a collection of many things into one whole; but empty and singleton sets do not fit with it. Adapting Dana Scott’s axiomatization of the cumulative theory of types, we present a ‘Cantorian’ system which excludes these anomalous sets. We investigate the consequences of their omission, examining their claim to a place on grounds of convenience, and asking whether their absence is an obstacle to the theory’s ability to represent ordered pairs or to support the arithmetization of analysis or the development of the theory of cardinals and ordinals.

APA, Harvard, Vancouver, ISO, and other styles

17

Titani, Satoko, and Haruhiko Kozawa. "Quantum Set Theory." International Journal of Theoretical Physics 42, no. 11 (November 2003): 2575–602. http://dx.doi.org/10.1023/b:ijtp.0000005977.55748.e4.

Full text

APA, Harvard, Vancouver, ISO, and other styles

18

Maji, P. K., R. Biswas, and A. R. Roy. "Soft set theory." Computers & Mathematics with Applications 45, no. 4-5 (February 2003): 555–62. http://dx.doi.org/10.1016/s0898-1221(03)00016-6.

Full text

APA, Harvard, Vancouver, ISO, and other styles

19

Nambiar, K. K. "Real set theory." Computers & Mathematics with Applications 38, no. 7-8 (October 1999): 167–71. http://dx.doi.org/10.1016/s0898-1221(99)00247-3.

Full text

APA, Harvard, Vancouver, ISO, and other styles

20

Nambiar, K. K. "Intuitive set theory." Computers & Mathematics with Applications 39, no. 1-2 (January 2000): 183–85. http://dx.doi.org/10.1016/s0898-1221(99)00322-3.

Full text

APA, Harvard, Vancouver, ISO, and other styles

21

Nishimura, Hirokazu. "Empirical set theory." International Journal of Theoretical Physics 32, no. 8 (August 1993): 1293–321. http://dx.doi.org/10.1007/bf00675196.

Full text

APA, Harvard, Vancouver, ISO, and other styles

22

Strauss, Paul. "Arithmetical Set Theory." Studia Logica 50, no. 2 (June 1991): 343–50. http://dx.doi.org/10.1007/bf00370192.

Full text

APA, Harvard, Vancouver, ISO, and other styles

23

Shehtman, V. "Review: Set Theory." Journal of Logic and Computation 15, no. 1 (February 1, 2005): 75–76. http://dx.doi.org/10.1093/logcom/exh039.

Full text

APA, Harvard, Vancouver, ISO, and other styles

24

Reinhardt, William N. "Epistemic set theory." Notre Dame Journal of Formal Logic 29, no. 2 (March 1988): 216–28. http://dx.doi.org/10.1305/ndjfl/1093637872.

Full text

APA, Harvard, Vancouver, ISO, and other styles

25

Tom Leinster. "Rethinking Set Theory." American Mathematical Monthly 121, no. 5 (2014): 403. http://dx.doi.org/10.4169/amer.math.monthly.121.05.403.

Full text

APA, Harvard, Vancouver, ISO, and other styles

26

Losada, Catherine. "Around set theory." Journal of Mathematics and Music 4, no. 3 (November 2010): 175–81. http://dx.doi.org/10.1080/17459737.2010.531214.

Full text

APA, Harvard, Vancouver, ISO, and other styles

27

Zakharov, V. K. "Local set theory." Mathematical Notes 77, no. 1-2 (January 2005): 177–93. http://dx.doi.org/10.1007/s11006-005-0019-x.

Full text

APA, Harvard, Vancouver, ISO, and other styles

28

Lehmann, Ingo, Richard Weber, and Hans Jürgen Zimmermann. "Fuzzy set theory." Operations-Research-Spektrum 14, no. 1 (March 1992): 1–9. http://dx.doi.org/10.1007/bf01783496.

Full text

APA, Harvard, Vancouver, ISO, and other styles

29

Zimmermann, H. J. "Fuzzy set theory." Wiley Interdisciplinary Reviews: Computational Statistics 2, no. 3 (April 16, 2010): 317–32. http://dx.doi.org/10.1002/wics.82.

Full text

APA, Harvard, Vancouver, ISO, and other styles

30

Barr, Michael. "Fuzzy Set Theory and Topos Theory." Canadian Mathematical Bulletin 29, no. 4 (December 1, 1986): 501–8. http://dx.doi.org/10.4153/cmb-1986-079-9.

Full text

Abstract:

AbstractThe relation between the categories of Fuzzy Sets and that of Sheaves is explored and the precise connection between them is explicated. In particular, it is shown that if the notion of fuzzy sets is further fuzzified by making equality (as well as membership) fuzzy, the resultant categories are indeed toposes.

APA, Harvard, Vancouver, ISO, and other styles

31

Musès, C. "System Theory and Deepened Set Theory." Kybernetes 22, no. 6 (June 1993): 91–99. http://dx.doi.org/10.1108/eb005994.

Full text

APA, Harvard, Vancouver, ISO, and other styles

32

KELLY, KEVIN T. "Learning Theory and Descriptive Set Theory." Journal of Logic and Computation 3, no. 1 (1993): 27–45. http://dx.doi.org/10.1093/logcom/3.1.27.

Full text

APA, Harvard, Vancouver, ISO, and other styles

33

Flagg, R. C. "Epistemic set theory is a conservative extension of intuitionistic set theory." Journal of Symbolic Logic 50, no. 4 (December 1985): 895–902. http://dx.doi.org/10.2307/2273979.

Full text

Abstract:

In [6] Gödel observed that intuitionistic propositional logic can be interpreted in Lewis's modal logic (S4). The idea behind this interpretation is to regard the modal operator □ as expressing the epistemic notion of “informal provability”. With the work of Shapiro [12], Myhill [10], Goodman [7], [8], and Ščedrov [11] this simple idea has developed into a successful program of integrating classical and intuitionistic mathematics.There is one question quite central to the above program that has remained open. Namely:Does Ščedrov's extension of the Gödel translation to set theory provide a faithful interpretation of intuitionistic set theory into epistemic set theory?In the present paper we give an affirmative answer to this question.The main ingredient in our proof is the construction of an interpretation of epistemic set theory into intuitionistic set theory which is inverse to the Gödel translation. This is accomplished in two steps. First we observe that Funayama's theorem is constructively provable and apply it to the power set of 1. This provides an embedding of the set of propositions into a complete topological Boolean algebra . Second, in a fashion completely analogous to the construction of Boolean-valued models of classical set theory, we define the -valued universe V(). V() gives a model of epistemic set theory and, since we use a constructive metatheory, this provides an interpretation of epistemic set theory into intuitionistic set theory.

APA, Harvard, Vancouver, ISO, and other styles

34

Terui, Kazushige. "Light Affine Set Theory: A Naive Set Theory of Polynomial Time." Studia Logica 77, no. 1 (June 2004): 9–40. http://dx.doi.org/10.1023/b:stud.0000034183.33333.6f.

Full text

APA, Harvard, Vancouver, ISO, and other styles

35

Jones, Robert. "Elementary set theory with a universal set." Mathematical Intelligencer 29, no. 3 (June 2007): 71–73. http://dx.doi.org/10.1007/bf02985697.

Full text

APA, Harvard, Vancouver, ISO, and other styles

36

Steggles, I., and Robert L. Vaught. "Set Theory, an Introduction." Mathematical Gazette 71, no. 458 (December 1987): 324. http://dx.doi.org/10.2307/3617077.

Full text

APA, Harvard, Vancouver, ISO, and other styles

37

Abbott, Steve, and Iain T. Adamson. "A Set Theory Workbook." Mathematical Gazette 83, no. 496 (March 1999): 168. http://dx.doi.org/10.2307/3618735.

Full text

APA, Harvard, Vancouver, ISO, and other styles

38

Kilmister, C. W., Karel Hrbacek, and Thomas Jech. "Introduction to Set Theory." Mathematical Gazette 84, no. 499 (March 2000): 173. http://dx.doi.org/10.2307/3621546.

Full text

APA, Harvard, Vancouver, ISO, and other styles

39

Kanamori, Akihiro. "Gödel and Set Theory." Bulletin of Symbolic Logic 13, no. 2 (June 2007): 153–88. http://dx.doi.org/10.2178/bsl/1185803804.

Full text

Abstract:

Kurt Gödel (1906–1978) with his work on the constructible universeLestablished the relative consistency of the Axiom of Choice (AC) and the Continuum Hypothesis (CH). More broadly, he ensured the ascendancy of first-order logic as the framework and a matter of method for set theory and secured the cumulative hierarchy view of the universe of sets. Gödel thereby transformed set theory and launched it with structured subject matter and specific methods of proof. In later years Gödel worked on a variety of set theoretic constructions and speculated about how problems might be settled with new axioms. We here chronicle this development from the point of view of the evolution of set theory as a field of mathematics. Much has been written, of course, about Gödel's work in set theory, from textbook expositions to the introductory notes to his collected papers. The present account presents an integrated view of the historical and mathematical development as supported by his recently published lectures and correspondence. Beyond the surface of things we delve deeper into the mathematics. What emerges are the roots and anticipations in work of Russell and Hilbert, and most prominently the sustained motif of truth as formalizable in the “next higher system”. We especially work at bringing out how transforming Gödel's work was for set theory. It is difficult now to see what conceptual and technical distance Gödel had to cover and how dramatic his re-orientation of set theory was.

APA, Harvard, Vancouver, ISO, and other styles

40

Kanamori, Akihiro. "Cohen and Set Theory." Bulletin of Symbolic Logic 14, no. 3 (September 2008): 351–78. http://dx.doi.org/10.2178/bsl/1231081371.

Full text

APA, Harvard, Vancouver, ISO, and other styles

41

Kanamori, Akihiro. "Bernays and Set Theory." Bulletin of Symbolic Logic 15, no. 1 (March 2009): 43–69. http://dx.doi.org/10.2178/bsl/1231081769.

Full text

APA, Harvard, Vancouver, ISO, and other styles

42

FUCHINO, Sakaé. "Mathematics and Set Theory:." Journal of the Japan Association for Philosophy of Science 46, no. 1 (2018): 33–47. http://dx.doi.org/10.4288/kisoron.46.1_33.

Full text

APA, Harvard, Vancouver, ISO, and other styles

43

Kirby, Laurence. "Bounded finite set theory." Mathematical Logic Quarterly 67, no. 2 (May 2021): 149–63. http://dx.doi.org/10.1002/malq.202000056.

Full text

APA, Harvard, Vancouver, ISO, and other styles

44

Morgan. "TRANSCENDENTAL POINT SET THEORY." Real Analysis Exchange 24, no. 1 (1998): 29. http://dx.doi.org/10.2307/44152910.

Full text

APA, Harvard, Vancouver, ISO, and other styles

45

Green, Frederic. "Review of Set Theory." ACM SIGACT News 48, no. 3 (September 7, 2017): 7–9. http://dx.doi.org/10.1145/3138860.3138863.

Full text

APA, Harvard, Vancouver, ISO, and other styles

46

Radu, C., and R. Wilkerson. "Using fuzzy set theory." IEEE Potentials 14, no. 5 (1996): 33–35. http://dx.doi.org/10.1109/45.481510.

Full text

APA, Harvard, Vancouver, ISO, and other styles

47

Hart, Joan E., Kenneth Kunen, and Yiannis N. Moschovakis. "Notes on Set Theory." American Mathematical Monthly 103, no. 1 (January 1996): 87. http://dx.doi.org/10.2307/2975227.

Full text

APA, Harvard, Vancouver, ISO, and other styles

48

KANAMORI, AKIHIRO. "ERDŐS AND SET THEORY." Bulletin of Symbolic Logic 20, no. 4 (December 2014): 449–90. http://dx.doi.org/10.1017/bsl.2014.38.

Full text

Abstract:

Paul Erdős (26 March 1913—20 September 1996) was a mathematicianpar excellencewhose results and initiatives have had a large impact and made a strong imprint on the doing of and thinking about mathematics. A mathematician of alacrity, detail, and collaboration, Erdős in his six decades of work moved and thought quickly, entertained increasingly many parameters, and wrote over 1500 articles, the majority with others. Hismodus operandiwas to drive mathematics through cycles of problem, proof, and conjecture, ceaselessly progressing and ever reaching, and hismodus vivendiwas to be itinerant in the world, stimulating and interacting about mathematics at every port and capital.

APA, Harvard, Vancouver, ISO, and other styles

49

JÄGER, GERHARD. "RELATIVIZING OPERATIONAL SET THEORY." Bulletin of Symbolic Logic 22, no. 3 (September 2016): 332–52. http://dx.doi.org/10.1017/bsl.2016.11.

Full text

Abstract:

AbstractWe introduce a way of relativizing operational set theory that also takes care of application. After presenting the basic approach and proving some essential properties of this new form of relativization we turn to the notion of relativized regularity and to the system OST (LR) that extends OST by a limit axiom claiming that any set is element of a relativized regular set. Finally we show that OST (LR) is proof-theoretically equivalent to the well-known theory KPi for a recursively inaccessible universe.

APA, Harvard, Vancouver, ISO, and other styles

50

Yee, Jerry. "Set Theory: Nephrology ∩ Urology." Advances in Chronic Kidney Disease 22, no. 4 (July 2015): 253–55. http://dx.doi.org/10.1053/j.ackd.2015.05.001.

Full text

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!