Analysis of set theory model based on model theory

2019 ◽  
Vol 1 (2) ◽  
pp. 40-50
Author(s):  
Yu Liang
Keyword(s):  
Set Theory ◽  
Model Theory ◽  
Theory Model ◽  
Model Based

Logic and Philosophical Methodology

2016 ◽  
Author(s):  
John P. Burgess
Keyword(s):  
Set Theory ◽  
Model Theory ◽  
Classical Logic ◽  
Proof Theory ◽  
Recursion Theory ◽  
Theory Model ◽  
Philosophical Methodology ◽  
Paraconsistent Logics ◽  
Philosophical Logic

This article explores the role of logic in philosophical methodology, as well as its application in philosophy. The discussion gives a roughly equal coverage to the seven branches of logic: elementary logic, set theory, model theory, recursion theory, proof theory, extraclassical logics, and anticlassical logics. Mathematical logic comprises set theory, model theory, recursion theory, and proof theory. Philosophical logic in the relevant sense is divided into the study of extensions of classical logic, such as modal or temporal or deontic or conditional logics, and the study of alternatives to classical logic, such as intuitionistic or quantum or partial or paraconsistent logics. The nonclassical consists of the extraclassical and the anticlassical, although the distinction is not clearcut.

Analisis Sens Polisemis The Merriam Webster Online Dictionary dan Kamus Besar Bahasa Indonesia dalam Jaringan: Studi Metaleksikografi (The Analysis of Sense Polysemic of The Merriam Webster Online Dictionary and Online Kamus Besar Bahasa Indonesia: the Study of Metalexsicograhpy )

JALABAHASA ◽  
2018 ◽  
Vol 14 (1) ◽  
pp. 31
Author(s):  
Kahar Prihantono
Keyword(s):  
Set Theory ◽  
Model Theory ◽  
The Senses ◽  
Bahasa Indonesia

ABSTRAKPenelitian ini berusaha membandingkan organisasi sens polisemis the Merriam Webster Online Dictionary (MWOD) dan Kamus Besar Bahasa Indonesia (KBBI) versi daring (dalam jaringan). Penulis mencermati penyusunan sens pada kedua kamus dan membandingkan keduanya untuk mengungkap peluang revitalisasi sens dalam KBBI. Sampel penelitian yang diambil secara acak, yakni 24 kata kepala yang memiliki sens polisemis. Sens kata kepala dicermati dengan menerapkan teori radial set model Brugman-Lakoff dan kemudian dibandingkan dengan memanfaatkan korpus data. Dari hasil pembahasan, penulis menarik beberapa simpulan sebagai berikut. Pertama, sens kedua kamus (MWOD dan KBBI) tersusun dalam susunan yang hampir sama, kedua kamus tidak menyertakan indikator sens dan menampilkan sens secara berurutan dengan penanda angka arab (1, 2, 3, dan seterusnya). Kedua, kelengkapan anggota sens kedua kamus berbeda, MWOD menampilkan lebih banyak sens dalam organisasi entrinya. Ketiga, MWOD menampilkan definisi pendek (mini definition) sebagai indikator sens yang terbatas. sementara KBBI tidak menampilkan, baik definisi pendek maupun indikator sens. Keempat, MWOD membuka peluang munculnya subsens,sementara KBBI tidak memiliki peluang serupa. Kelima, susunan sens MWOD diatur dengan mempertimbangkan hirarki sens Evan (2005) dan KBBI mementingkan frekuensi penggunaan (dalam realita, sens baru akan tampil setelah sens lama). Pembandingan sens kedua kamus membuka peluang bagi KBBI untuk (1) merevitalisasi sens sehingga sens-sens baru dapat dimunculkan, (2) merevisi sens dengan menyusun pembeda sens (sense differal) implisit, (3)memanfaatkan teori radial set model Brugman-Lakoff untuk membantu pengorganisasian sens baru, (4) sens-sens baru dari kata-kata kepala tersebut telah lama digunakan dalam konteks bahasa Indonesia, tetapi belum dimasukkan ke dalam organisasi entri KBBI daring oleh tim penyusun.ABSTRACTThe study attempted to compare polysemous sense organisation of The Merriam Webster Online Dictionary (MWOD) and Kamus Besar Bahasa Indonesia (KBBI). The writer examined the sense compilation of both dictionaries’ and compared each other to reveal the potential sense revitalization in KBBI. Samples of the research were taken randomly,covering 24 headwords with polysemous senses. The senses of the headwords were examined by establishing the radial set model theory of Brugman-Lakoff’s. Next, they were compared each other by taking the advantage of the data corpus. The result of the analysis led to some conclusions as follows. First, the sense of both dictionaries (MWOD and KBBI) were presented in quite the same ordering, both dictionaries did not present sense indicators and arrange the senses in Arabic numeric markers sequence (1, 2, 3, and so on). Second, the completeness of both dictionaries’ sense members was different, MWOD displayed more senses in its entry organisation. Third, MWOD displayed mini definitions as inadequate sense indicator whether KBBI did not display both mini definitions and sense indicators. Fourth, MWOD had opportunities for the emergence of new subsenses whether KBBI did not. Fifth, the sense organisation of MWOD was arranged according to sense hierarchy of Evan's (2005) whether KBBI emphasized the frequency of usage (in reality the new senses would be presented ). The comparison of the senses organisation led an opportunity for KBBI to (1) revitalize its senses so that new senses could be generated, (2) revise senses by establishing implicit sense differentiators, (3) take the advantage of the radial set theory of Brugman-Lakoff in organising its new senses, and (4) new senses of those headwords had been used in Indonesia context for years and they had not been involved in the Online KBBI entries by its compilers.

Two Applications of Inner Model Theory to the Study of Sets

1996 ◽  
Vol 2 (1) ◽  
pp. 94-107 ◽  
Author(s):  
Greg Hjorth
Keyword(s):  
Los Angeles ◽  
Set Theory ◽  
Model Theory ◽  
Large Cardinals ◽  
Descriptive Set Theory ◽  
Inner Model Theory ◽  
Regular Cardinals ◽  
Inner Model ◽  
Definable Sets ◽  
Descriptive Set

§0. Preface. There has been an expectation that the endgame of the more tenacious problems raised by the Los Angeles ‘cabal’ school of descriptive set theory in the 1970's should ultimately be played out with the use of inner model theory. Questions phrased in the language of descriptive set theory, where both the conclusions and the assumptions are couched in terms that only mention simply definable sets of reals, and which have proved resistant to purely descriptive set theoretic arguments, may at last find their solution through the connection between determinacy and large cardinals.Perhaps the most striking example was given by [24], where the core model theory was used to analyze the structure of HOD and then show that all regular cardinals below ΘL(ℝ) are measurable. John Steel's analysis also settled a number of structural questions regarding HODL(ℝ), such as GCH.Another illustration is provided by [21]. There an application of large cardinals and inner model theory is used to generalize the Harrington-Martin theorem that determinacy implies )determinacy.However, it is harder to find examples of theorems regarding the structure of the projective sets whose only known proof from determinacy assumptions uses the link between determinacy and large cardinals. We may equivalently ask whether there are second order statements of number theory that cannot be proved under PD–the axiom of projective determinacy–without appealing to the large cardinal consequences of the PD, such as the existence of certain kinds of inner models that contain given types of large cardinals.

scholarly journals SET THEORY MODEL FOR THE ASSESSMENT OF THE CONTAINER TERMINAL�S OPERATIONAL RESOURCES

2018 ◽  
Vol 10 (5) ◽  
pp. 1094-1103
Author(s):  
Aleksandr L. Kuznetsov ◽  
◽  
Anton D. Semenov ◽  
Victoria N. Shcherbakova-Slyusarenko ◽  
◽  
...  
Keyword(s):  
Set Theory ◽  
Container Terminal ◽  
Theory Model

scholarly journals Applying Set Theory E88

Axioms ◽  
2021 ◽  
Vol 10 (4) ◽  
pp. 329
Author(s):  
Saharon Shelah
Keyword(s):  
Set Theory ◽  
Model Theory ◽  
Real Line ◽  
Cantor Sets ◽  
General Topology ◽  
The Real ◽  
Collectionwise Hausdorff ◽  
Monadic Logic

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.

Sign in / Sign up

Export Citation Format

Share Document