scholarly journals Only Two Letters: The Correspondence between Herbrand and Gödel

2005 ◽  
Vol 11 (2) ◽  
pp. 172-184 ◽  
Author(s):  
Wilfried Sieg

AbstractTwo young logicians, whose work had a dramatic impact on the direction of logic, exchanged two letters in early 1931. Jacques Herbrand initiated the correspondence on 7 April and Kurt Gödel responded on 25 July, just two days before Herbrand died in a mountaineering accident at La Bérarde (Isère). Herbrand's letter played a significant role in the development of computability theory. Gödel asserted in his 1934 Princeton Lectures and on later occasions that it suggested to him a crucial part of the definition of a general recursive function. Understanding this role in detail is of great interest as the notion is absolutely central. The full text of the letter had not been available until recently, and its content (as reported by Gödel) was not in accord with Herbrand's contemporaneous published work. Together, the letters reflect broader intellectual currents of the time: they are intimately linked to the discussion of the incompleteness theorems and their potential impact on Hilbert's Program.

1949 ◽  
Vol 14 (1) ◽  
pp. 27-31 ◽  
Author(s):  
R. M. Martin

The purpose of this note is (i) to point out an important similarity between the nominalistic system discussed by Quine in his recent paper On universals and the system of logic (the system н) developed by the author in A homogeneous system for formal logic, (ii) to offer certain corrections to the latter, and (iii) to show that that system (н) is adequate for the general theory of ancestrale and for the definition of any general recursive function of natural numbers.Nominalism as a thesis in the philosophy of science, according to Quine, is the view that it is possible to construct a language adequate for the purposes of science, which in no wise admits classes, properties, relations, or other abstract objects as values for variables.


Author(s):  
Lyailya Nurgaliyeva

This paper focuses on the contribution of Italy to the development of energy cooperation between Kazakhstan and the EU, focusing on the specific case of the Kashagan oil field. I argue that Italy, as the largest importer of Kazakhstan’s oil, can play a significant role in the diversification of energy export routes from Kazakhstan and in the introduction of new European technologies. In turn, Kazakhstan can play a prominent role in ensuring the energy security of the EU, especially after the 2014 Crimea incident. I posit that recent Italy-Kazakhstan relations shows how a medium-sized power such as Italy can be important in leading a larger block of countries into a new field of investment and development.   Full text available at: https://doi.org/10.22215/rera.v9i1.244


2021 ◽  
Vol 4 (4) ◽  
pp. 99-136
Author(s):  
Ibrahiem Mohammed Abdullah ◽  

The research paper aims to highlight the STEM approach as one of the modern integrated approaches in the field of mathematics education. STEM which means the integration of Science, Technology, Engineering, and Math has its significant role in the development of curricula in the Arab world generally and particularly in mathematics curricula. This paper addresses the definition of STEM, the justifications for its emergence and the causes for the attention it recently receives. Moreover, the paper sheds light on its objectives, content, related teaching strategies, educational activities, evaluation, characteristics, advantages and obstacles found in its application.


2015 ◽  
Vol 44 (4) ◽  
pp. 7-20
Author(s):  
Mazen Masri

Partitioning historic Palestine into two states is often presented as the most plausible solution to the Israeli-Palestinian conflict. This article examines the potential impact of such a development on the Palestinian citizens of Israel (PCI), primarily from the vantage point of Israel's constitutional regime. The article explores three fundamental aspects of the Israeli constitutional system—its instability, the “Jewish and democratic” definition of the state, and the exclusion of the PCI from “the people” as the unit that holds sovereignty—and argues that the envisaged two-state solution will only reinforce the definition of Israel as a Jewish state and consequently provide further justification for the infringement on the rights of its Palestinian citizens.


1996 ◽  
Vol 1 (1) ◽  
pp. 3-8
Author(s):  
Elna Gross ◽  
Anna Nolte ◽  
Dawie Smith

This article presents a realistic perspective on the definition of health. Debates in tins article include amongst others the World Health Organization's definition on health and the'7 Nursing for the Whole Person " health definition." Opsomming Die term gesondheid was nog altyd moeilik om te definieer, omdat daar soveel uiteenlopende beskouiings is oor wat die begrip gesondheid behels. *Please note: This is a reduced version of the abstract. Please refer to PDF for full text.


2020 ◽  
pp. 73-79
Author(s):  
Alina Aidarovna-Kamalova ◽  
Dinara Lenarovna-Kurbangalieva

There are many interpretations of the term reputation'. Most authors refer to the general definition of reputation, considering reputation (fr., from lat. 'Reputatio' reflection, reasoning) as "a common opinion about the merits and demerits of someone, smth". The nature and essence of the business reputation of the enterprise are multifaceted and depending on the discipline studied, each researcher has his own interpretation. As well as the very concept of reputation for various fields of science is interpreted differently, the methods of assessment differ. In this article, we analyze the Economic Assessment of the Dependence of an Organization's Competitiveness on Reputation Capital and consider the tools that form reputation capital and methods for assessing it. Based on a review of existing factors in the formation of reputation capital and valuation methods, we will be able to identify key focuses for further research. In the course of the analysis carried out in the work, we found that the formation internal factors of reputation capital play a significant role in ensuring competitiveness, namely, the organization's personnel, its corporate culture.


2021 ◽  
Vol 38 (38) ◽  
pp. 122-137
Author(s):  
Darko Trifunovic ◽  
Juliusz Piwowarski

This article generally contains two parts. One is a theoretical approach to dealing with the phenomenon of terrorism as well as international terrorism. Within the first part, a unique definition of the concept of security science is given, without which it is not possible to properly perceive or investigate security threats and risks within which terrorism is one of the significant threats. The second part deals with models of terrorist activities with special attention to the webspace and the significant role that terrorists attach to the increasing use of the Internet for their purposes. The theoretical part leads to the conclusion that there are five essential elements whose presence, if detected in one territory or state, indicates the existence of a mechanism that produces or creates new jihad warriors. The paper also gives a unique forecast of the degree of endangerment on the example of a territory, which gives scientists who investigate these threats a new direction of research.


2019 ◽  
Vol 12 (3) ◽  
pp. 179-186
Author(s):  
Rana Sagha Zadeh ◽  
Paul Eshelman

A built environment designed to be appropriate for palliative care can make a profound difference for people with life-limiting illnesses. The built environment affects a patient’s quality of life, the management of physical and psychological symptoms, and the quality of social interactions with loved ones and caregivers. This article is informed by the emerging trends in the research and practice in the disciplines of architecture, design, medicine, and nursing. The article is intended to provide a definition of palliative design and invite discussion of its potential impact on patients, families, and caregivers. Our goal is to initiate conversation about palliative design, foster sharing of experiences and feedback among building professionals, and discuss future paths for formal adoption into practice.


2018 ◽  
Vol 14 (A30) ◽  
pp. 466-470
Author(s):  
D. W. Evans ◽  
M. Riello ◽  
F. De Angeli ◽  
J. M. Carrasco ◽  
P. Montegriffo ◽  
...  

AbstractGaia DR2 was released in April 2018 and contains a photometric catalogue of more than 1 billion sources. This release contains colour information in the form of integrated BP and RP photometry in addition to the latest G-band photometry. The level of uncertainty can be as good as 2 mmag with some residual systematics at the 10 mmag level. The addition of colour information greatly enhances the value of the photometric data for the scientific community. A high level overview of the photometric processing, with a focus on the improvements with respect to Gaia DR1, was given. The definition of the Gaia photometric system, a crucial part of the calibration of the photometry, was also explained. Finally, some of the photometric improvements expected for the next data release were described.


2020 ◽  
Vol 34 (3) ◽  
pp. 317-334 ◽  
Author(s):  
Dora E. Bock ◽  
Jeremy S. Wolter ◽  
O.C. Ferrell

Purpose Artificial intelligence (AI) is currently having a dramatic impact on marketing. Future manifestations of AI are expected to bring even greater change, possibly ushering in the realization of the fourth industrial revolution. In accord with such expectations, this paper aims to examine AI’s current and potential impact on prominent service theories as related to the service encounter. Design/methodology/approach This paper reviews dominant service theories and their relevance to AI within the service encounter. Findings In doing so, this paper presents an integrated definition of service AI and identifies the theoretical upheaval it creates, triggering a plethora of key research opportunities. Originality/value Although scholars and practitioners are gaining a deeper understanding of AI and its role in services, this paper highlights that much is left to be explored. Therefore, service AI may require substantial modifications to existing theories or entirely new theories.


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