scholarly journals What does it mean to enrich the definition of consciousness in consciousness research using (enriched) category theory?

2020 ◽  
Author(s):  
Naotsugu Tsuchiya ◽  
Hayato Saigo

In our recent essay on Cognitive Science [Naotsugu Tsuchiya & Hayato Saigo (2019) “Understanding Consciousness Through Category Theory” vol 26, pp 462 - 477], we provided a general introduction of category theory to consciousness researchers. Further, we also provided our tentative theoretical sketches on our latest ideas on how to apply tools in category theory into consciousness research. In particular, we discussed how we can propose categories of level of consciousness and categories of contents of consciousness. We also speculated what (if any) these efforts will bring into consciousness research. In this short piece, we will address several comments we received on our essay on the same volume from six experts, providing some clarification on three issues: 1) significance of our proposal of a novel viewpoint to enrich what it means to define consciousness, 2) possibility of category theoretical interpretation of consciousness, and 3) understanding of consciousness through the enriched category theoretical framework.

2020 ◽  
Vol 65 (Special Issue) ◽  
pp. 87-103
Author(s):  
Noémi Bíró

"Feminist Interpretations of Action and the Public in Hannah Arendt’s Theory. Arendt’s typology of human activity and her arguments on the precondition of politics allow for a variety in interpretations for contemporary political thought. The feminist reception of Arendt’s work ranges from critical to conciliatory readings that attempt to find the points in which Arendt’s theory might inspire a feminist political project. In this paper I explore the ways in which feminist thought has responded to Arendt’s definition of action, freedom and politics, and whether her theoretical framework can be useful in a feminist rethinking of politics, power and the public realm. Keywords: Hannah Arendt, political action, the Public, the Social, feminism "


Author(s):  
Ash Asudeh ◽  
Gianluca Giorgolo

This book presents a theory of enriched meanings for natural language interpretation. Certain expressions that exhibit complex effects at the semantics/pragmatics boundary live in an enriched meaning space while others live in a more basic meaning space. These basic meanings are mapped to enriched meanings just when required compositionally, which avoids generalizing meanings to the worst case. The theory is captured formally using monads, a concept from category theory. Monads are also prominent in functional programming and have been successfully used in the semantics of programming languages to characterize certain classes of computation. They are used here to model certain challenging linguistic computations at the semantics/pragmatics boundary. Part I presents some background on the semantics/pragmatics boundary, informally presents the theory of enriched meanings, reviews the linguistic phenomena of interest, and provides the necessary background on category theory and monads. Part II provides novel compositional analyses of the following phenomena: conventional implicature, substitution puzzles, and conjunction fallacies. Part III explores the prospects of combining monads, with particular reference to these three cases. The authors show that the compositional properties of monads model linguistic intuitions about these cases particularly well. The book is an interdisciplinary contribution to Cognitive Science: These phenomena cross not just the boundary between semantics and pragmatics, but also disciplinary boundaries between Linguistics, Philosophy and Psychology, three of the major branches of Cognitive Science, and are here analyzed with techniques that are prominent in Computer Science, a fourth major branch. A number of exercises are provided to aid understanding, as well as a set of computational tools (available at the book's website), which also allow readers to develop their own analyses of enriched meanings.


2020 ◽  
Vol 13 (2) ◽  
Author(s):  
Joschka Briese

AbstractThis article presents a sign- and usage-based model of intentionality following the works of Robert B. Brandom and T. L. Short. The concept of discursive intentionality is established within Brandom’s theory of language explains discursive and practical reasoning as well as attributive and ascriptive practices. Discursive intentionality is distinguished from other intentionalities of conceptual proximity. Because Brandom’s concept of signs is underdetermined in his works, it will be complemented with T. L. Short’s theory of intentional signs. This dual theoretical framework leads to an innovative analysis of verbs which locates discursive intentionality at the semantic/pragmatic interface. After giving a definition of discursive intentionality, it will be diagrammed by breaking it down into different components (relata, relations, and predicates). Finally, it is tested regarding the plausibility of the diagrammatics of discursive intentionality, using the intentional verb “to promise” to differentiate between the ascription of intentionality and intention.


1949 ◽  
Vol 1 (1) ◽  
pp. 3-34
Author(s):  
Haydn Templeton

SummaryAileron reversal effects on swept-back wings in general and elevon reversal effects on tailless swept-back wings in particular are discussed on a non-mathematical basis, attention being confined to the orthodox flap type of control. The main purpose of the paper is to convey in the simplest terms possible a clear physical picture of the conditions producing loss of control power, emphasis being naturally laid upon the part played by structural wing distortion. Certain qualitative features relating to the two phenomena are also discussed. As a general introduction to the discussion on aileron reversal effects, the definition of “aileron power” in relation to the actual dynamic condition of rolling is described at some length. For elevon reversal effects on tailless aircraft the effect of wing flexibility on both “elevon power” and on trim in steady symmetric flight is considered. With the descriptive treatment adopted the analysis is of necessity broad and general but is designed to appeal to those not too familiar with the subject. The results of certain calculations on a hypothetical wing, which may be of interest, are included. A mathematical analysis for the quantitative estimation of both aileron and elevon reversal effects is given in the Appendix.


2021 ◽  
Vol 5 (2) ◽  
pp. 33-46
Author(s):  
Antonio C. Cuyler

This article represents a snapshot and analysis of U. S. service arts organizations’ DEI statements and activities in 2018. At that time, many primarily White-serving U. S. cultural organizations responded defensively to accusations of elitism and a harmful rigged funding system that maintained the status quo by awarding most cultural funding to these organizations while undermining the health and vitality of cultural organizations by and for historically oppressed communities (Sidford, 2011). Furthermore, Helicon Collaborative (2017) found that even with a host of cultural equity, “diversity” projects (Tseng 2016), and public-facing DEI statements, little had changed within six years. Therefore, this study uses directed and summative content analysis to investigate the research question “what do cultural equity and diversity statements communicate about cultural organizations’ positions on DEI?” This study also uses Frankfurt’s (2005) essay On Bullshit and Laing’s (2016) two-prong definition of accountability as a theoretical framework to examine if and how cultural organizations hold themselves accountable for achieving DEI in the creative sector. Lastly, readers should keep in mind that the public murder of Geor-ge Floyd in 2020 has hastened all of the service arts organizations’ access, diversity, equity, and inclusion (ADEI) work examined in this study.


2013 ◽  
Vol 21 (3) ◽  
pp. 193-205
Author(s):  
Marco Riccardi

Summary Category theory was formalized in Mizar with two different approaches [7], [18] that correspond to those most commonly used [16], [5]. Since there is a one-to-one correspondence between objects and identity morphisms, some authors have used an approach that does not refer to objects as elements of the theory, and are usually indicated as object-free category [1] or as arrowsonly category [16]. In this article is proposed a new definition of an object-free category, introducing the two properties: left composable and right composable, and a simplification of the notation through a symbol, a binary relation between morphisms, that indicates whether the composition is defined. In the final part we define two functions that allow to switch from the two definitions, with and without objects, and it is shown that their composition produces isomorphic categories.


2013 ◽  
Vol 4 (1) ◽  
pp. 179-217 ◽  
Author(s):  
T. Gasser ◽  
P. Ciais

Abstract. We develop a theoretical framework and analysis of the net land-to-atmosphere CO2 flux in order to discuss possible definitions of "emissions from land-use change". The terrestrial biosphere is affected by two perturbations: the perturbation of the global Carbon-Climate-Nitrogen system (CCN) with elevated atmospheric CO2, climate change and nitrogen deposition; and the Land-Use Change perturbation (LUC). Here, we progressively establish mathematical definitions of four generic components of the net land-to-atmosphere CO2 flux. The two first components are the fluxes that would be observed if only one perturbation occurred. The two other components are due to the coupling of the CCN and LUC perturbations, which shows the non-linear response of the terrestrial carbon cycle. Thanks to these four components, we introduce three possible definitions of "emissions from land-use change", that are indeed used in the scientific literature, often without clear distinctions, and we draw conclusions as for their absolute and relative behaviors. Thanks to the OSCAR v2 model, we provide quantitative estimates of the differences between the three definitions, and we find that comparing results from studies that do not use the same definition can lead to a bias of up to 20% between estimates of those emissions. After discussion of the limitations of the framework, we conclude on the three major points of this study that should help the community to reconcile modeling and observation of emissions from land-use change. The Appendix mainly provides more detailed mathematical expressions of the four components of the net land-to-atmosphere CO2 flux.


2019 ◽  
Vol 2 (2) ◽  
Author(s):  
Abdulhakeem Abdul Kaleg Al-Hassan Seedah

<p>The study deals with the phonemes on syntax and their employment in the teaching of Arabic to non-Arabic speakers. The study aims at explaining how these phonemes are used in the teaching of Arabic as a second language. The study also aims to explain the role played by these secondary phonemes in communicating the Arabic language to an optimal level of sound; Acoustic sounds are not isolated but need to be viewed at the level of composition as well. Moreover, to reach the desired goals, the researcher divided the research into two sections and contained each of these sections on the axes.</p>The first topic came in terms of theoretical framework, where the researcher talked about the importance of the audio lesson for the Arabic learner a second language, and the second axis of the definition of the phonemes above the structure of the lesson and attention, the practical side of the study was divided into axes, namely:  The use of algebra in the teaching of Arabic as second language, the use of toning in teaching


Author(s):  
David I. Spivak

Category theory is presented as a mathematical modelling framework that highlights the relationships between objects, rather than the objects in themselves. A working definition of model is given, and several examples of mathematical objects, such as vector spaces, groups, and dynamical systems, are considered as categorical models.


2015 ◽  
Vol 5 (1-2) ◽  
Author(s):  
Brian Schultis

In this short piece, Brian Schultis reflects on an experience of walking carrying a gold thread with four others in Aberdeen in Spring, 2014.  Schultis first remembers the experience and then speculates at a possible theoretical interpretation.  Following Gilles Deleuze and Felix Guattari, he describes the event becoming a component of a haecceity, and suggests that the embodied memory of such and individuation may be a way of thinking about intimacy.


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