An unsolved problem in the theory of constructive order types

1969 ◽  
Vol 33 (4) ◽  
pp. 565-567
Author(s):  
Alan G. Hamilton
Keyword(s):  
Recursive Function ◽  
Unsolved Problem ◽  
Order Type ◽  
Partial Answer ◽  
Linear Ordering ◽  
Partial Recursive Function ◽  
Order Types ◽  
The Difference ◽  
Definition Of

In the forthcoming monograph of Crossley [1] the question is raised whether the implication 2 + A = A ⇒ 1 + A = A is true for constructive order types. In this paper a partial answer to this question is given, in that a counterexample is constructed, using, however, not the definition of constructive order type (C.O.T.) given in [1], but an earlier one, namely that in Crossley [2]. The difference is that in [1] only orderings which can be imbedded in a standard dense r.e. ordering R by a partial recursive function are considered. The linear ordering constructed in this paper can be shown not to be such. The problem remains open in the case of orderings imbeddable in R.

A problem in the theory of constructive order types

1970 ◽  
Vol 35 (1) ◽  
pp. 119-121
Author(s):  
Robin O. Gandy ◽  
Robert I. Soare
Keyword(s):  
Recursive Function ◽  
Type A ◽  
Order Type ◽  
General Question ◽  
Partial Recursive Function ◽  
Order Types ◽  
Definition Of ◽  
Priority Argument

J. N. Crossley [1] raised the question of whether the implication 2 + A = A ⇒ 1 + A = A is true for constructive order types (C.O.T.'s). Using an earlier definition of constructive order type, A. G. Hamilton [2] presented a counterexample. Hamilton left open the general question, however, since he pointed out that Crossley considers only orderings which can be embedded in a standard dense r.e. ordering by a partial recursive function, and that his counterexample fails to meet this requirement. We resolve the question by finding a C.O.T. A which meets Crossley's requirement and such that 2 + A = A but 1 + A ≠ A. At the suggestion of A. B. Manaster and A. G. Hamilton we easily extend this construction to show that for any n ≧ 2, there is a C.O.T. A such that n + A = A but m + A ≠ A for 0 < m < n. Hence, Theorem 3 of [2] and all of its corollaries hold with the new definition of C.O.T. The construction is not difficult and requires no priority argument. The techniques are similar to those developed in [3], but no outside results are needed here.

On order-types of models

1972 ◽  
Vol 37 (1) ◽  
pp. 69-70 ◽  
Author(s):  
Wilfrid Hodges
Keyword(s):  
Order Type ◽  
Linear Ordering ◽  
Infinite Field ◽  
Strong Limit ◽  
First Order ◽  
Order Types ◽  
Order Language ◽  
Language L ◽  
New Feature

Let T be a theory in a first-order language L. Let L have a predicate ν0 ≺ ν1 such that in every model of T, the interpretation of ≺ is a linear ordering with infinite field. The order-type of this ordering will be called the order-type of the model .Several recent theorems have the following form: if T has a model of order-type ξ then T has a model of order-type ζ (see [1]). We shall add one to the list. The new feature of our result is that the order-type ζ may be in a sense “opposite” to ξ. Silver's Theorem 2.24 of [3] is a corollary of Theorem 1 below.Theorem 1. Let κ be a strong limit number (i.e. μ < κ implies 2μ < κ). Suppose λ < κ, and suppose that for every cardinal μ < κ, T has a model with where the order-type of contains no descending well-ordered sequences of length λ. Then for every cardinal μ ≥ the cardinality ∣L∣ of the language L, T has models and such that(a) the field of is the union of ≤ ∣L∣ well-ordered (inversely well-ordered) parts;(b) .The proof is by Ehrenfeucht-Mostowski models; we presuppose [2].

Constructive order types on cuts

1969 ◽  
Vol 34 (2) ◽  
pp. 285-289 ◽  
Author(s):  
Robert I. Soare
Keyword(s):  
Recursive Function ◽  
Natural Numbers ◽  
Partial Recursive Function ◽  
Order Types

If A and B are subsets of natural numbers we say that A is recursively equivalent to B (denoted A ≃ B) if there is a one-one partial recursive function which maps A onto B, and that A is recursively isomorphic to B (denoted A ≅ B) if there is a one-one total recursive function which maps A onto B and Ā (the complement of A) onto B#x00AF;.

The Distinction between [P] and [S]

2017 ◽  
Author(s):  
Galen Strawson
Keyword(s):  
Personal Identity ◽  
Radical Change ◽  
Legal Responsibility ◽  
The Difference ◽  
Definition Of ◽  
Over Time

This chapter examines the difference between John Locke's definition of a person [P], considered as a kind of thing, and his definition of a subject of experience of a certain sophisticated sort [S]. It first discusses the equation [P] = [S], where [S] is assumed to be a continuing thing that is able to survive radical change of substantial realization, as well as Locke's position about consciousness in relation to [P]'s identity or existence over time as [S]. It argues that Locke is not guilty of circularity because he is not proposing consciousness as the determinant of [S]'s identity over time, but only of [S]'s moral and legal responsibility over time. Finally, it suggests that the terms “Person” and “Personal identity” pull apart, in Locke's scheme of things, but in a perfectly coherent way.

L'anglicisme dans la langue française

2019 ◽  
Vol 3 ◽  
pp. 00013
Author(s):  
Danny Susanto
Keyword(s):  
English Language ◽  
Oil Industry ◽  
English Word ◽  
Public Institutions ◽  
Font Size ◽  
The World ◽  
French Speaking ◽  
The Difference ◽  
Definition Of ◽  
Bibliographic Study

<p class="Abstract">The purpose of this study is to analyze the phenomenon known as&nbsp;<span style="font-size: 1rem;">“anglicism”: a loan made to the English language by another language.&nbsp;</span><span style="font-size: 1rem;">Anglicism arose either from the adoption of an English word as a&nbsp;</span><span style="font-size: 1rem;">result of a translation defect despite the existence of an equivalent&nbsp;</span><span style="font-size: 1rem;">term in the language of the speaker, or from a wrong translation, as a&nbsp;</span><span style="font-size: 1rem;">word-by-word translation. Said phenomenon is very common&nbsp;</span><span style="font-size: 1rem;">nowadays and most languages of the world including making use of&nbsp;</span><span style="font-size: 1rem;">some linguistic concepts such as anglicism, neologism, syntax,&nbsp;</span><span style="font-size: 1rem;">morphology etc, this article addresses various aspects related to&nbsp;</span><span style="font-size: 1rem;">Anglicisms in French through a bibliographic study: the definition of&nbsp;</span><span style="font-size: 1rem;">Anglicism, the origin of Anglicisms in French and the current situation,&nbsp;</span><span style="font-size: 1rem;">the areas most affected by Anglicism, the different categories of&nbsp;</span><span style="font-size: 1rem;">Anglicism, the difference between French Anglicism in France and&nbsp;</span><span style="font-size: 1rem;">French-speaking Canada, the attitude of French-speaking society&nbsp;</span><span style="font-size: 1rem;">towards to the Anglicisms and their efforts to stop this phenomenon.&nbsp;</span><span style="font-size: 1rem;">The study shows that the areas affected are, among others, trade,&nbsp;</span><span style="font-size: 1rem;">travel, parliamentary and judicial institutions, sports, rail, industrial&nbsp;</span><span style="font-size: 1rem;">production and most recently film, industrial production, sport, oil industry, information technology,&nbsp;</span><span style="font-size: 1rem;">science and technology. Various initiatives have been implemented either by public institutions or by&nbsp;</span><span style="font-size: 1rem;">individuals who share concerns about the increasingly felt threat of the omnipresence of Anglicism in&nbsp;</span><span style="font-size: 1rem;">everyday life.</span></p>

Identity, Community and Belonging in gcc States

2018 ◽  
Vol 6 (4) ◽  
pp. 401-428
Author(s):  
Miriam R. Lowi
Keyword(s):  
Religious Affiliation ◽  
Protective Role ◽  
The Other ◽  
National Project ◽  
Scholarly Literature ◽  
National Community ◽  
The Difference ◽  
Definition Of

Studies of identity and belonging in Gulf monarchies tend to privilege tribal or religious affiliation, if not the protective role of the ruler as paterfamilias. I focus instead on the ubiquitous foreigner and explore ways in which s/he contributes to the definition of national community in contemporary gcc states. Building upon and moving beyond the scholarly literature on imported labor in the Gulf, I suggest that the different ‘categories’ of foreigners impact identity and the consolidation of a community of privilege, in keeping with the national project of ruling families. Furthermore, I argue that the ‘European,’ the non-gcc Arab, and the predominantly Asian (and increasingly African) laborer play similar, but also distinct roles in the delineation of national community: while they are differentially incorporated in ways that protect the ‘nation’ and appease the citizen-subject, varying degrees of marginality reflect Gulf society’s perceptions or aspirations of the difference between itself and ‘the other(s).’

Charge-Transfer Dipoles at the Si-SiO2 Interface and the Metal-Semiconductor Worfunction Difference In Mos Devices.

1987 ◽  
Vol 105 ◽  
Author(s):  
Hisham Z. Massoud
Keyword(s):  
Dipole Moment ◽  
Charge Transfer ◽  
Dipole Moments ◽  
Silicon Substrates ◽  
Interface Dipole ◽  
Mos Devices ◽  
Flatband Voltage ◽  
The Difference ◽  
Definition Of ◽  
Mos Structures

AbstractThe magnitude of the dipole moment at the Si-SiO2 interface resulting from partial charge transfer that takes place upon the formation of interface bonds has been calculated. The charge transfer occurs because of the difference in electronegativity between silicon atoms and SiO2 molecules which are present across the interface. Results obtained for (100) and (111) silicon substrates indicate that the magnitude of the interface dipole moment is dependent on substrate orientation and the interface chemistry. Dipole moments at the Si-SiO2 and gate-SiO2 interfaces should be included in the definition of the flatband voltage VFB of MOS structures. CV-based measurements of the metal-semiconductor workfunction difference φms on (100) and (111) silicon oxidized in dry oxygen and metallized with Al agree with the predictions of this model. Other types of interface dipoles and their processing dependence are briefly discussed.

India-2021: Middle class in pandemic conditions

2021 ◽  
pp. 14
Author(s):  
Elena A. Bragina
Keyword(s):  
Developing Countries ◽  
Middle Class ◽  
Gradual Increase ◽  
Population Group ◽  
Special Significance ◽  
Statistical Estimates ◽  
National Characteristics ◽  
The Difference ◽  
Definition Of ◽  
Sociological Studies

The article analyzes the conditions for the formation of the middle class in India. Shown is its important balancing role in the politics and economy of the country. The nature of the definition of &quot;middle class&quot;, its special significance in developing countries is considered. Due to the difference in the applied criterion - the initial unit of account (employee, family, population group), due to the weakness of statistical services, the results of sociological studies, statistical estimates of the size of the middle class are often approximate. The work shows that the official and infor-mal (shadow) parts of the middle class coexist in the economies of developing countries in parallel.  The pressure of the COVID-19 pandemic on the development of the Indian middle class is taken into account.  The article examines the national characteristics of the formation of the middle class inherent in India. Due to the unclear definition of the criteria, the inconsistency of its assessments, the insufficient level of work of statistical organizations, information on the size of the middle class is inaccurate (according to various estimates, about 210-360 million people). Attention is paid to the formation of the rural middle class in India, rural residents make up a significant part of it (estimated at 48-66%).The forecast of the recovery of the Indian middle class ispresented. It is assumed that its quantitative growth, which was observed before the pandemic, and a gradual increase in influence will continue and will allow in the future. The topic is relevant, in demand by the Russian reader.

scholarly journals PENGELOLAAN SAMPAH BERBASIS MASYARAKAT DI DESA PAKRAMAN PADANGTEGAL KECAMATAN UBUD KABUPATEN GIANYAR

2019 ◽  
Vol 13 (2) ◽  
pp. 205
Author(s):  
I Putu Juniartha ◽  
Made Antara ◽  
I Made Sudarma
Keyword(s):  
Waste Management ◽  
Public Perception ◽  
Tourism Industry ◽  
Management Process ◽  
Glass Waste ◽  
The People ◽  
The Difference ◽  
The Government ◽  
Inorganic Waste ◽  
Definition Of

The results of this study indicate: (1) Characteristics of waste in Pakraman Padangtegal Village consisted of 83.88% organic waste, 7.24% plastic waste, 4.42% paper waste, 2.22% bottle waste, glass waste at 1.28% and metal waste at 0.96%; (2) public perception in waste management in Pakraman Village, Padangtegal that most of the people in Pakraman Village, Padangtegal, already know about the definition of waste and the danger of waste if it is not managed properly. Besides that the community also knows the difference between organic and inorganic waste so that the process of sorting waste in the place provided can run well, and the community's perception of waste management services has gone well with the transportation of waste twice a day; (3) the participation of the Pakraman Padangtegal Village community in waste management has played a role in various stages of waste management, starting from the sorting, garbage collection and garbage disposal, which complies with waste regulations and maintains the quality of the environment in Padangtegal Pakraman Village. The participation of the tourism industry in the process of waste management in Pakraman Village, Padangtegal, can be seen as being involved in the process of sorting waste and paying monthly fees and waste fees. The community participation in the waste management process is to help the government to socialize the waste management process by carrying out waste collection activities every week and provide a place for the waste management process. Suggestions in this study are that waste managers will immediately add facilities and infrastructure for waste transportation and accelerate the expansion of waste management in the village of Pakraman Padangtegal.   Keywords: Waste Management System, Pakraman Village

Guidelines for potentiometric measurements in suspensions Part B. Guidelines for practical pH measurements in soil suspensions (IUPAC Recommendations 2006)

2007 ◽  
Vol 79 (1) ◽  
pp. 81-86 ◽  
Author(s):  
Srecko F. Oman ◽  
M. Filomena Camões ◽  
Kipton J. Powell ◽  
Raj Rajagopalan ◽  
Petra Spitzer
Keyword(s):  
Reference Electrode ◽  
Operational Definition ◽  
Indicator Electrode ◽  
Liquid Junction ◽  
Cell Potential ◽  
Technical Report ◽  
Potentiometric Measurements ◽  
Suspension Effect ◽  
The Difference ◽  
Definition Of

The measured cell potentials for suspension potentiometric cells have been interpreted and explained by a detailed analysis of the schemes for these cells ["Guidelines for potentiometric measurements in suspensions. Part A. The suspension effect (IUPAC Technical Report", Pure Appl. Chem.79, 67 (2007)]. Some former disagreements amongst investigations have been clarified. A new unambiguous operational definition of the suspension effect (SE) is presented. It is defined as the difference in cell potential for two suspension potentiometric cells, one with both electrodes in the separated equilibrium solution (eqs) and the other with both electrodes in the sediment or suspension. This potential difference is the sum of the change in the indicator electrode (IE) potential and the change in the liquid junction potential of the reference electrode (RE), when the electrodes are used for measurement, once in the sediment of the suspension and then in its eqs.

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