This chapter describes the potential far‐reaching consequences of contemplative higher education for the fields of science and medicine.

Achieving space situational awareness requires, at a minimum, the identification, characterization, and tracking of space objects. Leveraging the resultant space object data for purposes such as hostile threat assessment, object identification, and conjunction assessment presents major challenges. This is in part because in characterizing space objects we reference a variety of identifiers, components, subsystems, capabilities, vulnerabilities, origins, missions, orbital elements, patterns of life, operational processes, operational statuses, and so forth, which tend to be defined in highly heterogeneous and sometimes inconsistent (...) ways. The Space Domain Ontologies are designed to provide a consensus-based realist framework for formulating such characterizations in a way that is both consistent and computable. Space object data are aligned with classes and relations in a suite of ontologies built around the existing Space Object Ontology. They are stored in a dynamically updated Resource Description Framework triple store, which can be queried to support space situational awareness and the needs of spacecraft operators and analysts. This paper provides an overview of the Space Domain Ontologies and their development and use. It presents the motivation for and advantages of the Space Domain Ontologies, including the benefits they provide for enhancing and maintaining long-term space situational awareness. (shrink)

Throughout the biological and biomedical sciences there is a growing need for, prescriptive ‘minimum information’ (MI) checklists specifying the key information to include when reporting experimental results are beginning to find favor with experimentalists, analysts, publishers and funders alike. Such checklists aim to ensure that methods, data, analyses and results are described to a level sufficient to support the unambiguous interpretation, sophisticated search, reanalysis and experimental corroboration and reuse of data sets, facilitating the extraction of maximum value from data sets (...) them. However, such ‘minimum information’ MI checklists are usually developed independently by groups working within representatives of particular biologically- or technologically-delineated domains. Consequently, an overview of the full range of checklists can be difficult to establish without intensive searching, and even tracking thetheir individual evolution of single checklists may be a non-trivial exercise. Checklists are also inevitably partially redundant when measured one against another, and where they overlap is far from straightforward. Furthermore, conflicts in scope and arbitrary decisions on wording and sub-structuring make integration difficult. This presents inhibit their use in combination. Overall, these issues present significant difficulties for the users of checklists, especially those in areas such as systems biology, who routinely combine information from multiple biological domains and technology platforms. To address all of the above, we present MIBBI (Minimum Information for Biological and Biomedical Investigations); a web-based communal resource for such checklists, designed to act as a ‘one-stop shop’ for those exploring the range of extant checklist projects, and to foster collaborative, integrative development and ultimately promote gradual integration of checklists. (shrink)

This is a protocol for a Cochrane Review (Intervention). The objectives are as follows: -/- The main aim of this review will be to assess the effects of changing practitioner empathy or patient expectations for all conditions. The main objective is to conduct a systematic review of randomised trials where the intervention involves manipulating either (a) practitioner empathy or (b) patient expectations, or (c) both.

This book presents Robert S. Hartman’s formal theory of value and critically examines many other twentieth century value theorists in its light, including A.J. Ayer, Kurt Baier, Brand Blanshard, Paul Edwards, Albert Einstein, William K. Frankena, R.M. Hare, Nicolai Hartmann, Martin Heidegger, G.E. Moore, P.H. Nowell-Smith, Jose Ortega y Gasset, Charles Stevenson, Paul W. Taylor, Stephen E. Toulmin, and J.O. Urmson.

This eighth volume of Collected Papers includes 75 papers comprising 973 pages on (theoretic and applied) neutrosophics, written between 2010-2022 by the author alone or in collaboration with the following 102 co-authors (alphabetically ordered) from 24 countries: Mohamed Abdel-Basset, Abduallah Gamal, Firoz Ahmad, Ahmad Yusuf Adhami, Ahmed B. Al-Nafee, Ali Hassan, Mumtaz Ali, Akbar Rezaei, Assia Bakali, Ayoub Bahnasse, Azeddine Elhassouny, Durga Banerjee, Romualdas Bausys, Mircea Boșcoianu, Traian Alexandru Buda, Bui Cong Cuong, Emilia Calefariu, Ahmet Çevik, Chang Su Kim, Victor (...) Christianto, Dae Wan Kim, Daud Ahmad, Arindam Dey, Partha Pratim Dey, Mamouni Dhar, H. A. Elagamy, Ahmed K. Essa, Sudipta Gayen, Bibhas C. Giri, Daniela Gîfu, Noel Batista Hernández, Hojjatollah Farahani, Huda E. Khalid, Irfan Deli, Saeid Jafari, Tèmítópé Gbóláhàn Jaíyéolá, Sripati Jha, Sudan Jha, Ilanthenral Kandasamy, W.B. Vasantha Kandasamy, Darjan Karabašević, M. Karthika, Kawther F. Alhasan, Giruta Kazakeviciute-Januskeviciene, Qaisar Khan, Kishore Kumar P K, Prem Kumar Singh, Ranjan Kumar, Maikel Leyva-Vázquez, Mahmoud Ismail, Tahir Mahmood, Hafsa Masood Malik, Mohammad Abobala, Mai Mohamed, Gunasekaran Manogaran, Seema Mehra, Kalyan Mondal, Mohamed Talea, Mullai Murugappan, Muhammad Akram, Muhammad Aslam Malik, Muhammad Khalid Mahmood, Nivetha Martin, Durga Nagarajan, Nguyen Van Dinh, Nguyen Xuan Thao, Lewis Nkenyereya, Jagan M. Obbineni, M. Parimala, S. K. Patro, Peide Liu, Pham Hong Phong, Surapati Pramanik, Gyanendra Prasad Joshi, Quek Shio Gai, R. Radha, A.A. Salama, S. Satham Hussain, Mehmet Șahin, Said Broumi, Ganeshsree Selvachandran, Selvaraj Ganesan, Shahbaz Ali, Shouzhen Zeng, Manjeet Singh, A. Stanis Arul Mary, Dragiša Stanujkić, Yusuf Șubaș, Rui-Pu Tan, Mirela Teodorescu, Selçuk Topal, Zenonas Turskis, Vakkas Uluçay, Norberto Valcárcel Izquierdo, V. Venkateswara Rao, Volkan Duran, Ying Li, Young Bae Jun, Wadei F. Al-Omeri, Jian-qiang Wang, Lihshing Leigh Wang, Edmundas Kazimieras Zavadskas. (shrink)

l. There is an antinomy in Hare's thought between Ought-Implies-Can and No-Indicatives-from-Imperatives. It cannot be resolved by drawing a distinction between implication and entailment. 2. Luther resolved this antinomy in the l6th century, but to understand his solution, we need to understand his problem. He thought the necessity of Divine foreknowledge removed contingency from human acts, thus making it impossible for sinners to do otherwise than sin. 3. Erasmus objected (on behalf of Free Will) that this violates Ought-Implies-Can which he (...) supported with Hare-style ordinary language arguments. 4. Luther a) pointed out the antinomy and b) resolved it by undermining the prescriptivist arguments for Ought-Implies-Can. 5. We can reinforce Luther's argument with an example due to David Lewis. 6. Whatever its merits as a moral principle, Ought-Implies-Can is not a logical truth and should not be included in deontic logics. Most deontic logics, and maybe the discipline itself, should therefore be abandoned. 7. Could it be that Ought-Conversationally-Implies-Can? Yes - in some contexts. But a) even if these contexts are central to the evolution of Ought, the implication is not built into the semantics of the word; b) nor is the parallel implication built into the semantics of orders; and c) in some cases Ought conversationally implies Can, only because Ought-Implies-Can is a background moral belief. d) Points a) and b) suggest a criticism of prescriptivism - that Oughts do not entail imperatives but that the relation is one of conversational implicature. 8. If Ought-Implies-Can is treated as a moral principle, Erasmus' argument for Free Will can be revived (given his Christian assumptions). But it does not 'prove' Pelagianism as Luther supposed. A semi-Pelagian alternative is available. (shrink)

Os minerais possuem uma influência direta em diversos processos fisiológicos no organismo animal e, mesmo com tamanha importância, por vezes são negligenciados pelos produtores para seu fornecimento para os animais. Este estudo teve como objetivo avaliar o desempenho reprodutivo de rebanhos de bovinos, caprinos e ovinos em 8 propriedades rurais nas cidades de Sanharó, Pesqueira, Arcoverde, Belo Jardim e São Bento do Una através da adição de suplemento mineral e mistura múltipla aos animais de forma a atender suas necessidades básicas (...) para mantença e reprodução. Foram avaliados os desempenhos de 4 touros e 25 vacas, 3 bodes e 50 cabras e 4 carneiros e 48 ovelhas em diferentes propriedades, avaliando como a adição de um suplemento mineral específico da espécie impacta de forma positiva nos índices reprodutivos avaliados que foram taxa de cio, taxa de serviço, taxa de concepção, taxa de fertilidade, taxa de prenhez, taxa de perdas gestacionais, taxa de natalidade e taxa de mortalidade. O experimento teve duração de 2 anos e pôde-se avaliar cerca de 2 partos nas vacas e, mais ou menos, 3 partos em cabras e ovelhas. Os dados foram computados e avaliados estatisticamente no Excel para conferir se os índices reprodutivos melhoraram em função da adição de minerais na ração dos animais. Conferiu-se que houve diferença significativa entre todos os índices avaliados, ou seja, a adição de minerais na ração dos animais melhora a eficiência reprodutiva de machos e fêmeas de animais ruminantes, sendo de suma importância sua disponibilização de forma correta para alcançar bons índices reprodutivos na fazenda na busca pela obtenção de neonatos que poderão ser comercializados. -/- REFERÊNCIAS BIBLIOGRÁFICAS ASTRO, G. B. A importância da adição de minerais na dieta de caprinos e ovinos no Agreste de Pernambuco. Trabalho de Conclusão de Curso (Técnico Subsequente em Agropecuária) - IFPE Campus Belo Jardim. Belo Jardim, 2023. 44 p. BALAMURUGAN, B. et al. Mineral an important nutrient for efficient reproductive health in dairy cattle. Int. J. Environ. Sci. Technol, v. 6, n. 1, p. 694-701, 2017. Barros NN, Bomfim MAD. Mistura múltipla para caprinos e ovinos. In: Anais VIII PECNORDESTE – Seminário Nordestino de Pecuária, 8; 2004; Fortaleza, Brasil. Fortaleza: FAEC, 2004. p. 50-57. BERCHIELLI, T. T.; PIRES, A. V.; OLIVEIRA, S. G. (Eds.). Nutrição de ruminantes. Jaboticabal: Funep, 2011. COTTA, T. Minerais e vitaminas para bovinos, ovinos e caprinos. Viçosa: Aprenda Fácil, 2001. DANTAS, C. C. O.; DE MATTOS NEGRÃO, F. Funções e sintomas de deficiência dos minerais essenciais utilizados para suplementação dos bovinos de corte. UNICiências, v. 14, n. 2, 2010. DA SILVA EIC. A água na nutrição animal. 1ª ed. Recife, PE: Instituto Agronômico de Pernambuco, 2023. DA SILVA, Emanuel Isaque Cordeiro. Cálculos de consumo e digestibilidade de alimentos e nutrientes para ruminantes. Revista Universitária Brasileira, v. 1, n. 3, 2023. DA SILVA, Emanuel Isaque Cordeiro. Concentrados e Rações Para Cabras em Lactação. 2022. DA SILVA, Emanuel Isaque Cordeiro. Efeitos da raça e do manejo nutricional sobre as características de qualidade da carcaça e da carne em ovinos. Revista Universitária Brasileira, v. 2, n. 1, 2024. DA SILVA, Emanuel Isaque Cordeiro. Fisiologia da Reprodução de Bovinos Leiteiros: Aspectos Básicos e Clínicos. Emanuel Isaque Cordeiro da Silva, 2022. DA SILVA, Emanuel Isaque Cordeiro. Formulação de ração para caprinos. Emanuel Isaque Cordeiro da Silva, 2021. DA SILVA, Emanuel Isaque Cordeiro. Formulação de ração para ovinos. 2021. DA SILVA, Emanuel Isaque Cordeiro. Formulação e Avaliação de Suplemento Mineral Para Caprinos. Instrução Técnica Para o Produtor Rural de Pernambuco, v. 3, n. 1, p. 1-4, 2023. DA SILVA, Emanuel Isaque Cordeiro. Formulação e fabricação de rações para ruminantes. 1ª ed. Belo Jardim: Emanuel Isaque Cordeiro da Silva, 2021. DA SILVA, Emanuel Isaque Cordeiro. Formulação e Fabricação de Rações Para Ruminantes: Bovinos, Caprinos e Ovinos. 2021. DA SILVA, Emanuel Isaque Cordeiro. Manejo Reprodutivo e Índices Zootécnicos em Gado de Leite. 2023. DA SILVA, Emanuel Isaque Cordeiro. Métodos de Formulação e Balanceamento de Rações para Bovinos. Belo Jardim: Emanuel Isaque Cordeiro da Silva, 2021. DA SILVA, Emanuel Isaque Cordeiro. Nutrição e Suplementação Mineral de Bovinos de Corte. Emanuel Isaque Cordeiro da Silva, 2021. DA SILVA, Emanuel Isaque Cordeiro. Nutrição Sobre a Reprodução e Fertilidade dos Bovinos. Emanuel Isaque Cordeiro da Silva, 2021. DA SILVA, Emanuel Isaque Cordeiro. Opções de concentrados para vacas em lactação no Semiárido. 2022. DA SILVA, Emanuel Isaque Cordeiro. Relação e Efeitos Bioquímico-nutricionais Sobre os Cistos Ovarianos em Vacas. DA SILVA, Emanuel Isaque Cordeiro. Relação e Efeitos Bioquímico-nutricionais Sobre os Transtornos do Ciclo Estral em Vacas. DA SILVA, E. I. C. Suplementação e formulação de sal mineral e mistura múltipla para bovinos. Revista Universitária Brasileira, v. 2, n. 1, 2024. DE MENDONÇA JÚNIOR, A. F. et al. Minerais: importância de uso na dieta de ruminantes. Agropecuária Científica no Semiárido, v. 7, n. 1, p. 01-13, 2011. DE PAULA SILVEIRA, L. Suplementação mineral para bovinos. Medicina Veterinária e Zootecnia, v. 11, n. 5, p. 489-500, 2017. FADLALLA, I. M. T. The Interactions of Some Minerals Elements in Health and Reproductive Performance of Dairy Cows. New Advances in the Dairy Industry, 2022. FERGUSON, J. D. Nutrition and reproduction in dairy cows. Veterinary clinics of North America: Food animal practice, v. 7, n. 2, p. 483-507, 1991. GALVANI, D. B.; BOMFIM, MAD. Mistura múltipla para caprinos e ovinos: nova fórmula dispensa adaptação. 2015. HAENLEIN, G. F. W.; ANKE, M. Mineral and trace element research in goats: A review. Small Ruminant Research, v. 95, n. 1, p. 2-19, 2011. KAWAS, J. R.; ANDRADE-MONTEMAYOR, H.; LU, C. D. Strategic nutrient supplementation of free-ranging goats. Small Ruminant Research, v. 89, n. 2-3, p. 234-243, 2010. KESSLER, J. Mineral nutrition of goats. In: Goat nutrition, v. 46, p. 104-119, 1991. LOPES, H. O. S. Suplementação de baixo custo para bovinos: mineral e alimentar. 1998. MANERA, D. B. et al. Mineral mixtures from solid salt residues for lambs. Revista Brasileira de Zootecnia, v. 43, p. 485-491, 2014. MASTERS, D. G. Practical implications of mineral and vitamin imbalance in grazing sheep. Animal Production Science, v. 58, n. 8, p. 1438-1450, 2018. MORAES, S. da S. Importância da suplementação mineral para bovinos de corte. Campo Grande, MS: Embrapa Gado de Corte, 2001., 2001. NICODEMO, M. L. F. et al. Minerais na eficiência reprodutiva de bovinos. 1ª ed. São Carlos: Embrapa Pecuária Sudeste, 2008. 50 p. NIX, J.. Trace minerals important for goat reproduction. Sweetlix Livestock Supplement System, 2002. NOGUEIRA, É. et al. Nutrição aplicada à reprodução de bovinos de corte. In: MEDEIROS, S. R. et al. (Eds.). Nutrição de bovinos de corte: fundamentos e aplicações. 1ª ed. Brasília: Embrapa, 2015. p. 143-156. PASA, C.. Relação reprodução animal e os minerais. Biodiversidade, v. 9, n. 1, 2010. PEIXOTO, P. V. et al. Eficiência reprodutiva de matrizes bovinas de corte submetidas a três diferentes tipos de suplementação mineral. Pesquisa Veterinária Brasileira, v. 23, p. 125-130, 2003. PRADA, F. Influência da nutrição animal na reprodução de touros: revisão. Revista de Educação Continuada do CRMV-SP, v. 8, n. 1, p. 68-76, 2005. ROGÉRIO, M. C. P. et al. Manejo alimentar de caprinos e ovinos nos trópicos. Veterinária e Zootecnia, v. 23, n. 3, p. 326-346, 2016. SARTORI, R.; GUARDIEIRO, M. M. Fatores nutricionais associados à reprodução da fêmea bovina. Revista Brasileira de Zootecnia, v. 39, p. 422-432, 2010. SHARMA, M. C. et al. Mineral nutrition and reproductive performance of the dairy animals: a review. The Indian Journal of Animal Sciences, v. 77, n. 7, 2007. SILVA, D. C. et al. Importância do uso de minerais na dieta de bovinos reprodutores. Vet. zootec, p. 38-52, 2018. SOUZA, G. V. Suplementação de minerais na reprodução de bovinos. Trabalho de Conclusão de Curso (Graduação em Zootecnia) - UFG. Jataí, 2014. 32 p. TEIXEIRA, J. C. Nutrição de ruminantes. Lavras: FAEPE, 1992. UNDERWOOD, E. J.; SUTTLE, N. F. Los minerales en la nutrición del ganado. 3ª ed. Zaragoza: Acribia, 2003. VALADARES FILHO, S. C. et al. (Eds.). Tabelas brasileiras de composição de alimentos para ruminantes. 1ª ed. Viçosa: UFV, 2015. VALENTIM, J. K. et al. Fatores nutricionais aplicados à reprodução de ruminantes. UNICIÊNCIAS, v. 23, n. 2, p. 77-82, 2019. VASCONCELOS, F. F. Suplementação mineral no manejo reprodutivo ovino. Dissertação (Mestrado em Medicina Veterinária) - Centro de Ciências Rurais, UFSM. Santa Maria, 2012. 50 p. VÁZQUEZ-ARMIJO, J. F. et al. Trace elements in sheep and goats reproduction: a review. Tropical and Subtropical Agroecosystems, v. 14, n. 1, p. 1-13, 2011. VELLADURAI, C.; SELVARAJU, M.; NAPOLEAN, R. E. Effects of macro and micro minerals on reproduction in dairy cattle a review. International Journal of Scientific Research in Science and Technology, v. 2, n. 1, p. 68-70, 2016. YASOTHAI, R. Importance of minerals on reproduction in dairy cattle. International Journal of Science, Environment and Technology, v. 3, n. 6, p. 2051-2057, 2014. (shrink)

There is no uniquely standard concept of an effectively decidable set of real numbers or real n-tuples. Here we consider three notions: decidability up to measure zero [M.W. Parker, Undecidability in Rn: Riddled basins, the KAM tori, and the stability of the solar system, Phil. Sci. 70(2) (2003) 359–382], which we abbreviate d.m.z.; recursive approximability [or r.a.; K.-I. Ko, Complexity Theory of Real Functions, Birkhäuser, Boston, 1991]; and decidability ignoring boundaries [d.i.b.; W.C. Myrvold, The decision problem for entanglement, in: R.S. (...) Cohen et al. (Eds.), Potentiality, Entanglement, and Passion-at-a-Distance: Quantum Mechanical Studies fo Abner Shimony, Vol. 2, Kluwer Academic Publishers, Great Britain, 1997, pp. 177–190]. Unlike some others in the literature, these notions apply not only to certain nice sets, but to general sets in Rn and other appropriate spaces. We consider some motivations for these concepts and the logical relations between them. It has been argued that d.m.z. is especially appropriate for physical applications, and on Rn with the standard measure, it is strictly stronger than r.a. [M.W. Parker, Undecidability in Rn: Riddled basins, the KAM tori, and the stability of the solar system, Phil. Sci. 70(2) (2003) 359–382]. Here we show that this is the only implication that holds among our three decidabilities in that setting. Under arbitrary measures, even this implication fails. Yet for intervals of non-zero length, and more generally, convex sets of non-zero measure, the three concepts are equivalent. (shrink)

In this book, authors, for the first time, introduce the new notion of special subset linguistic topological spaces using linguistic square matrices. This book is organized into three chapters. Chapter One supplies the reader with the concept of ling set, ling variable, ling continuum, etc. Specific basic linguistic algebraic structures, like linguistic semigroup linguistic monoid, are introduced. Also, algebraic structures to linguistic square matrices are defined and described with examples. For the first time, non-commutative linguistic topological spaces are introduced. The (...) notion of a linguistic special subset of doubly non-commutative topological spaces of linguistic topological spaces is introduced in this book. (shrink)

Exploratory factor analysis (EFA) of the Psychopathic Personality Inventory (PPI; S. O. Lilienfeld, 1990; S. O. Lilienfeld & B. P. Andrews, 1996) with a community sample has suggested that the PPI subscales may comprise 2 higher order factors (S. D. Benning, C. J. Patrick, B. M. Hicks, D. M. Blonigen, & R. F. Krueger, 2003). However, substantive and structural evidence raises concerns about the viability of this 2-factor model, particularly in offender populations. The authors attempted to replicate the S. D. (...) Benning et al. 2-factor solution using a large (N= 1,224) incarcerated male sample. Confirmatory factor analysis of this model resulted in poor model fit. Similarly, using the same EFA procedures as did S. D. Benning et al., the authors found little evidence for a 2-factor model. When they followed the recommendations of J.-W. van Prooijen and W. A. van der Kloot (2001) for recovering EFA solutions, model fit results provided some evidence that a 3-factor EFA solution could be recovered via confirmatory factor analysis. (shrink)

In this аrtiсlе, thе аuthоr fосusеs оn еluсidаting sоmе philоsоphiсаl аspесts оf intеrсulturаl соmmuniсаtiоn in thе соntеxt оf glоbаlizаtiоn оn thе bаsis оf rесоgnizing thе соntributiоns аnd limitаtiоns оf Wittgеnstеin tо thе birth оf philоsоphy. сulturе study. Thоsе philоsоphiсаl issuеs аrе: thе similаrity in thinking аnd асting оf pеоplе асrоss сulturеs; divеrsity оf сulturеs, wоrldviеws аnd wаys оf lifе. Frоm thе Mаrxist pоint оf viеw, thе аuthоr pоintеd оut аnd сritiсizеd thе limitаtiоns оf Wittgеnstеin's philоsоphiсаl соnсеptiоn; аnd аt thе sаmе (...) timе оffеr аnd еxplаin sоlutiоns tо implеmеnt intеrсulturаl соmmuniсаtiоn in thе соntеxt оf сurrеnt glоbаlizаtiоn. (shrink)

In this book, the authors introduce the notion of Super linear algebra and super vector spaces using the definition of super matrices defined by Horst (1963). Many theorems on super linear algebra and its properties are proved. Some theorems are left as exercises for the reader. These new class of super linear algebras which can be thought of as a set of linear algebras, following a stipulated condition, will find applications in several fields using computers. The authors feel that such (...) a paradigm shift is essential in this computerized world. (shrink)

In this book authors for the first time introduce the notion of super interval matrices using special intervals. The advantage of using super interval matrices is that one can build only one vector space using m × n interval matrices, but in case of super interval matrices we can have several such spaces depending on the partition on the interval matrix.

Algebraic structures on linguistic sets associated with a linguistic variable are introduced. The linguistics with single closed binary operations are only semigroups and monoids. We describe the new notion of linguistic semirings, linguistic semifields, linguistic semivector spaces and linguistic semilinear algebras defined over linguistic semifields. We also define algebraic structures on linguistic subsets of a linguistic set associated with a linguistic variable. We define the notion of linguistic subset semigroups, linguistic subset monoids and their respective substructures. We also define as (...) in case of deals in classical semigroups, linguistic ideals in linguistic semigroups and linguistic monoids. This concept of linguistic ideals is extended to the case of linguistic subset semigroups and linguistic subset monoids. We also define linguistic substructures. (shrink)

The new notions of super column FRM model, super row FRM model and mixed super FRM model are introduced in this book. These three models are introduced specially to analyze the biased role of the print media on 27 percent reservation for the Other Backward Classes (OBCs) in educational institutions run by the Indian Central Government.

In this book authors for the first time introduce the notion of supermatrices of refined labels. Authors prove super row matrix of refined labels form a group under addition. However super row matrix of refined labels do not form a group under product; it only forms a semigroup under multiplication. In this book super column matrix of refined labels and m × n matrix of refined labels are introduced and studied.

Smarandache in 2019 has generalized the algebraic structures to NeutroAlgebraic structures and AntiAlgebraic structures. In this paper, authors, for the first time, define the NeutroAlgebra of neutrosophic triplets group under usual+ and x, built using {Zn, x}, n a composite number, 5 < n < oo, which are not partial algebras. As idempotents in Zn alone are neutrals that contribute to neutrosophic triplets groups, we analyze them and build NeutroAlgebra of idempotents under usual + and x, which are not partial (...) algebras. We prove in this paper the existence theorem for NeutroAlgebra of neutrosophic triplet groups. This proves the neutrals assocaited with neutrosophic triplet groups in { Zn, X} under product is a NeutroAlgebra of triplets. We also prove the non-existence theorem of NeutroAlgebra for neutrosophic triplets in case of Zn when n = 2p, 3p and 4p (for some primes p). Several open problems are proposed. Further, the NeutroAlgebras of extended neutrosophic triplet groups have been obtained. (shrink)

In this paper, a modified form of Collatz conjecture for neutrosophic numbers n ∈ (Z U I) is defined. We see for any n ∈ (Z U I) the related sequence using the formula (3a + 1) + (3b + 1)I converges to any one of the 55 elements mentioned in this paper. Using the akin formula of Collatz conjecture viz. (3a- 1) + (3b -1)I the neutrosophic numbers converges to any one of the 55 elements mentioned with appropriate modifications. (...) Thus, it is conjectured that every n ∈ (Z U I) has a finite sequence which converges to any one of the 55 elements. (shrink)

Predication is a lingual relation. We have this relation when a term is said (λέγεται) of another term. This simple definition, however, is not Aristotle’s own definition. In fact, he does not define predication but attaches his almost in a new field used word κατηγορεῖσθαι to λέγεται. In a predication, something is said of another thing, or, more simply, we have ‘something of something’ (ἓν καθ᾿ ἑνὸς). (PsA. , A, 22, 83b17-18) Therefore, a relation in which two terms are posited (...) to each other in a way that one is said (predicated) of the other is a predication. The term of which the other term is said is called a subject (ὑποκειμένον) and the other, which is said about the subject, is called the predicate. Thus, in a predication the predicate is predicated of the subject; given that being predicated is almost as the same as being said. The relation between being said and being predicated is so close that ‘if something is said of a subject both its name and its definition are necessarily predicated of the subject.’ (Cat., 5, 2a19-26) This, however, is true only about the second genera and not the accidents. a) Nature of relation in predication What is Aristotle’s theory about the nature of the relation in a predication? How does he fundamentally understand this relation? Phil Corkum distinguishes between predication logic and traditional term logic and argues that the relation between subject and predicate in Aristotle is of the latter kind. While in predicate logic, subjects and predicates have distinct roles, they have the same role in traditional term logic. In predication logic, subjects refer, but predicates characterize. Thereupon, a sentence expresses a truth if the object to which the subject refers is correctly characterized by the predicate. In traditional term logic, both subjects and predicates refer and a sentences expresses a truth if both name one and the same thing. He concludes that Aristotle ‘problematically conflates prediction and identity claims’ because while he thinks both subjects and predicates refer, he would deny that a sentence is true just in case the subject and the predicate name one and the same thing. Based on this, Corkum believes that Aristotle’s core semantic is not identity but the weaker relation of constitution, which is a mereological interpretation: ‘All men are mortal’ is true just in case the mereological sum of humans is part of the mereological sum of mortals. b) Aristotle’s theory of predication: one or two theories? Frank Lewis finds an inconsistent gap between the theory of predication in the Categories and that in the later books of the Metaphysics VII, 6. So too Joan Kung, Terry Irwin, Daniel Graham. c) Distinction of ‘being said of’ and ‘being in’ Owen enumerates the texts in which Aristotle’s distinction between ‘being said of’ and ‘being in’ is asserted: OI. 11b38-12a17; To., 127b1-4; Cat. 1a20-b9; 2a11-14; 2a27-b6; 2b15-17; 3a7-32; 9b22-24 d) Predication in Aristotle and the standard ‘S is P’ Marie De Rijk Lambertus thinks that the ‘S is P’ pattern is misleading when it comes to express predication in Aristotle. In his view, ‘The Aristotelian procedure should be described in terms of appositively assigning an attribute (κατηγορούμενον) to a substrate (ὑποκείμενον), rather than ascribing a predicate to a subject by means of a copula…. The comment should be considered an attribute which is said to fall to a substrate, without understanding this procedure in terms of sentence predication.’ e) Aristotle’s predication: bipartite or tripartite? It is a difficulty to make Aristotle’s theories of name-verb predication and tripartite predication consistent. The reason is that tripartite is not consistant with his name-verb structure based on which he says that the predicate term is the ‘verb.’ (20a31; 20b1-2; 16a13-5) The problem is that in a tripartite form like ‘Socrates is white’ we cannot take ‘is white’ as the verb because, based on Aristotle himself, no part of a verb can be significant itself. (16b6-7) However, his assertions about the equivalences between the two structures (OI. 12, 21b9-10; PrA. 51b13-16; Met., 1017b22-30) must mean that they are not inconsistent in his own view. Thus, as Allen Bāck points, ‘Aristotle seems to think that he has a single, consistent theory.’ The sense of saying or speaking as the root sense of rhema makes the relation between predication (saying something of something) and verb more interesting. The use of rhema in the sense of a long expression approves this. In Plato’s work (399ac) where Socrates claims that the name anthropos derives from anthron ha opopen (‘he who examines what he has seen’) we have an onoma from, or in place of, a rhema. 1) Subject The subject (ὑποκειμένον) is that of which another term is said or predicated. Aristotle’s own definition is of a much more philosophical value: ‘By subject I mean that which is expressed by an affirmative term (λέγω δὲ ὑποκείμενον τὸ κάταφάσει δηλούμενον).’ (Met., K, 1067b18) Throughout Aristotle’s work, three kinds of subjects can be found: possible, prime and absolute subject. a) Possible subject Those things that can take the position of a subject in a predication we call possible subjects, no matter they can or cannot take the position of predicate in any predication. All terms except the ultimate predicates are possible subjects because they can take the position of subject. b) Prime subject Those that in any predication can only take the position of a subject and not the position of a predicate are prime subjects. (Cat., 5, 3a36-b2; Met., Z, 1028b36-1029a1) This is the truest sense of subject and belongs only to substances. (Met., Z, 1029a1-2) In fact, ‘that which is not predicated of a subject, but of which all else is predicated’ is a substance. (Met., Z, 1029a7-9) In Categories, besides primary substances (Cat., 2, 1b3-6), individual qualities are also said not to be able to be said of anything else. (Cat., 2, 1a23-29) Aristotle’s examples are a certain ‘knowledge-of-grammar’ (τὶς γράμματικὴ) and ‘an individual white’ (τὸ τὶ λευκὸν). Thus, although substances are indeed in the truest sense individuals and, thereby, in the truest sense primary subjects, other individuals can take the position of subject as well. c) Absolute subject While substances are prime subjects of all other things, there is still something of which substances can be predicated and this predication is not an accidental predication: matter. (Met., Z, 1029a21-24) This predication is, indeed, the predication of a ‘form or this’ on matter and material substance. (Met., Θ, 1049a34-36) The only thing that is absolutely a subject, therefore, and can be a predicate is prime matter (πρώτη ὓλη). (Met., Θ, 1049a24-27) d) Subject and substance The most important thing in being a substance is being a subject: ‘It is because the primary substances are subjects for all the other things and all the other things are predicated of them or are in them, that they are called substances most of all.’ (Cat., 5, 2b15-17) And what is nearer to this position is more a substance as a species is more a substance than a genus.’ (Cat., 5, 2b7-8) e) Primary versus accidental subject A subject is a primary subject in a predication when the predicate is predicated of it as itself. In such a case, the subject is the subject of the predicate qua itself and not qua something else. A subject, on the one hand, is an accidental subject when it is not the primary subject of the predicate that is predicated on it. It means that a subject is an accidental subject when the predicate is predicated of it not qua itself but qua something else. An accidental subject is, therefore, anything other than a substance. 2) Predicate as universal It is evident from our discussion of kinds of subjects that except matter, primary substances (if we ignore both accidental predication and cases of absolute subjects) and other individuals, everything else can take the position of a predicate. Since primary substances are individuals, it results that everything except matter and individuals are capable to take the position of predicate. The immediate consequence of this is that the predicate must be a universal. When individuals cannot take the position of predicate, this position cannot be taken by any particular. Therefore, only universals can be predicated of others. Moreover, albeit universals can be a simple subject (for another universal), they are not prime subjects. The closeness of universal and predicate is to the extent that Aristotle differentiates universal from subject. (Met., Θ, 1049a27-30) 3) Categories or classes of predicates Aristotle distinguishes ten highest classes into one of which each predicate must necessarily fall: substance (or what a thing is), quality, quantity, relation, place, time, position, state, activity and passivity. (Cat., 4, 1b25-27; To., I, 9, 103b20- ; PsA., A, 22, 83b13-23) The substance counted among predicates must refer to secondary and not primary substances not only because Aristotle insists that primary substances cannot be predicated but also from his own examples of the category of substance: man and animal. (To., I, 9, 103b25) However, if a predicate be asserted of itself or its genus be asserted of it, the predicate signifies substance or what is; but if ‘one kind of predicate is asserted of another kind,’ it signifies one of the other nines. (To., I, 9, 103b30) These categories are so comprehensive that no predicate can remain outside them so that even non-being has as many senses as categories. (Met., M, 1089a26-30) a) That whether Aristotle’s categories are merely linguistic or fundamentally ontological is a so much controversial dispute. Some like G. E. R. Lloyd believe that ‘categories are primarily intended as a classification of reality … rather than of the signifying terms themselves.’ b) Although Aristotle’s categories have been historically regarded as a classification of predications, there are some recent commentators like Jonathan Barnes that think it is classifying predicates and not predications. 4) Kinds of predicates In his introduction of Categories, as J. W. Thorp truly points out , Aristotle distinguishes between the category of substance and the other categories using μὲν ... δὲ construction. This construction illustrates that beside tenfold classification of categories, there is an even more crucial differentiation between two kinds of predicates: substance or what is on the one hand and the other nine ones on the other hand: the distinction between what is predicated of the subject as what it is and what is predicated of it as an accident. Therefore, we have three kinds of classification - a twofold, a fourfold and a tenfold-complicatedly classifying the same thing, viz. the predicate. Predicates can be divided also to four kinds: property, definition, genus and accident. (To., I, 4, 101b11-20) A property is that predicate that is convertible with its subject and does not signify its essence. A definition is that predicate that is convertible with its subject and signifies its essence. It is a genus if it is not predicated convertibly and is contained in the definition of its subject. And it is an accident if it is neither convertible nor contained in the definition of its subject. (To., I, 8, ^103b3) All of these four kinds are among categories. (To., I, 9, 103b20) It seems that there might be some kind of relation between the twofold and the fourfold distinction: whereas genus and definition are predicated as what it is, accidents are not so predicated. There seems to be some rules that determine to each of these four kinds each predicate belongs. At To., IV, 123b30ff. Aristotle asserts: ‘If B has a contrary and A does not, then B does not belong to A as its genus.’ There is a dispute around per se accidents (τὰ καθ’ αὑτὰ συμβεβηκότα) (Topics., 102a18) whether they must be regarded as either of the four kinds or as a fifth kind. Barnes (1970) argued that they ‘do not fit at all neatly into the fourfold classification.’ He argues that based on the definition of accidents at A, 5, 102b4-5, they must be accidents but based on another definition, A, 5, 102b6-7, they cannot be accidents. He also defends the view that they are not properties. Barnes concludes: ‘This shows that the two definitions are not equivalent, and hence that the ‘predicables’ are not well-defined.’ Demetris J. Hadgopoulos defends the view that the two definitions of accidents are equivalent and per se accidents are properties. 5) Five types of predications We have five kinds of predications based on our division of subjects and our discussion of predicates: simple, primary (itself divided to substantial and accident), accidental (itself divided to primary and secondary), aoincidental and absolute predication. a) Simple predication. This is a predication in which a universal is predicated of either a particular or a universal subject. This sense of predication includes all other senses except the first kind of accidental predication. b) Primary predication. This is a predication in which a universal is predicated of a primary subject, namely a substance. A primary predication is of two kinds: i) Substantial predication. A primary predication in which the predicate is part of, or is included in, the definition of the subject. The universal that is the predicate here is the definition or the genus or the species or the diferentia of the subject. It is this predication that Aristotle calls a unity: ‘A statement may be called a unity … because it exhibits a single predicate as inhering not accidentally in a single subject.’ (PsA., B, 10, 93b35-37) It is only substantial predicates that can be predicated of each other: ‘Predicates which are not substantial are not predicated of one another.’ (PsA., A, 22, 83b18-19) Aristotle defines a substantial predication also in another way. A predication in which a higher genus is predicated on a lower genus, species, a substance or an individual, (or a species is predicated on an individual) is a substantial predication. Therefore, a substantial predication is a predication in a series that has individuals on one of its ends and a general category on its other end. In fact, only substantial predicates can be predicated of one another. (PsA., A, 22, 83b17-19) This series cannot be an infinite series because otherwise not only substances would not be definable but also a genus would be equal to one of its own species. (PsA., A, 22, 83b7-10) -/- ii) Accident predication. A primary predication in which the predicate is not part of, or is not included in, the definition of its subject. The universal that is the predicate here is the property or the accident of the subject. c) Accidental predication. This is a predication in which the subject is not a primary subject and its predicate is a substance. This predication is of two kinds: i) Primary accidental predication. This is a predication in which an accident is predicated of substance. Such a predication can go ad infinitum, which is inferable from Aristotle’s assertion that the secondary accidental predication cannot go ad infinitum. ii) Secondary accidental predication. It is a predication in which an accident is predicated of another accident. Such a predication, Aristotle asserts, cannot go ad infinitum because even more than two accidents cannot be combined. Now what is the meaning of Aristotle’s assertion that we cannot continue this ad infinitum? Does it mean that we cannot continue the predication ‘The musician is white’ and say ‘The white is Athenian?’ But why not? Or maybe he means that by adding any predication, we are still in a condition of predicating two accidents of a substance on each other. -/- As primary subjects, substances can also take the position of predicate though not essentially but accidentally. In propositions like ‘the white is a log’ or ‘That big thing is a log’ we observe substance taking the position of predicate but this is only accidentally: ‘When I affirm ‘the white is a log,’ I mean that something which happens to be white is a log- not that white is the subject in which log inheres (οὐχ ὡς τὸ ὑποκείμενον τῷ ξύλῳ τὸ λευκόν ἐστι), for it was not qua white or qua a species of white that the white (thing) came to be a log (οὔτε λευκὸν ὄν οὔθ᾿ ὃπερ λευκόν τι ἐγἐνετο ξύλον), and the white (thing) is consequently not a log except incidentally.’ (PsA., 22, 83a3-9) Aristotle compares this accidental use of substance in the position of predicate with the substantial use of it in the place of a subject: ‘On the other hand, when I affirm ‘the log is white,’ I do not mean that something else, which happens to be a log, is white (οὐχ ὃτι ἓτερόν τί ἐστι λευκόν, ἐκείνῳ δὲ συμβέβηκε ξύλῳ εἶναι), (as I should if I said ‘the musician is white,’ which would mean ‘The man who happens also to be a musician is white’); on the contrary, log is here the subject- the subject which actually came to be white, and did so qua wood or qua a species of wood and qua nothing else.’ (PsA., 22, 83a8-14) Aristotle asks us not to call propositions like ‘The white is a log’ a predication at all or at least call them accidental predication instead of simple (ἁπλως) predication. (PsA., A, 22, 83a14-17) An accidental predication, in which we have a substance in the place of predicate, is different from an essential predication in that while the subject of an accidental predication is said to be the predicate not by itself but as something different with which it coincides, the subject of an essential predicate is said to be the predicate by itself and not because it is something else: ‘Since there are attributes which are predicated of a subject essentially and not accidentally- not, that is, in the sense in which we say ‘That white (thing) is a man,’ which is not the same mode of predication as when we say ‘The man is white’: the man is white not because he is something else but because he is man, but the white is man because ‘being white’ coincides with ‘humanity’ within one subject. Therefore, there are terms such as are essentially subjects of predicates. (PsA., A, 19, 81a24-29) This capability of ‘non-essentially and only accidentally’ being a subject does belong, in fact, to all sensible things. (PsA., A, 27a32-36) d) Coincidental predication. this is a predication in which none of the subject and predicate are a substance or an individual. In this predication, one of the accidents of a substance or individual is predicated of one of the other accidentals of the same substance or individual. For example, when it is said that ‘The white is musical,’ there is an individual, say Socrates, for which both of white and musical are accidents. e) Absolute predication. This is a predication in which a form or a substance is predicated of a matter or a material substance. Some commentators like Loux and Lewis regarded this predication as close to accident predication, both based on inherence. As R.M. Dancy points out, these predications make Aristotle’s theory of predication immanentist: not only accident predications are explained by the immanence of accidents in substances, some of the substantial predications, which were not explained in Categories, are also explained by the immanence of form in matter. It is interesting that in this kind of predication, it is the predicate and not the subject, which is in the strictest sense substance. As the central books of Metaphysics claim, the form is the substance. Thus, in this predication, substance gets away from the sense of ὑποκείμενον. Corkum mentiones 68a19 as the only instance where Aristotle explicitly claims that a term may be predicated of itself, a passage that is, in Corkum’s view, problematic. 6) Demonstrable predicates Those predicates are demonstrable that are so related to their subjects that there are other predicates prior to them predicable of their subjects (ἔτι δ᾿ ἄλλος, εἰ ὧν πρότερα ἄττα κατηγορεῖται). (PsA., A, 22, 83b32-34) 7) Series of predications Since it is possible for a predicate to be itself the subject of another predication, we can have a series of predications in which the predicate of a predication is the subject of the next predication. This series has the following features: a) It has a limit (in number) (PsA., A, 22, 83b14-16) on the side of subjects: there are subjects that cannot themselves be predicated (PsA., A, 27, 43a39-41), which are, as we noted, prime subjects: particulars, i.e. prime substances and other individuals. (PsA., A, 19-22) Aristotle calls them ultimate (ὓστατον). (PsA., 21, 82a36-b1) b) It has a limit (in number of kinds) (PsA., A, 22, 83b14-16) also on the side of predicates: there must be predicates that cannot be subjects. (PsA., A, 19-22; PsA., A, 27, 43a36-39) Aristotle calls them primary (πρῶτον). (PsA., A, 21, 82b1-4) These are the highest categories or the highest genera of categories. (PsA., A, 22, 83b14-16) c) The series has an escalating shape from mere subjects at its downside to mere predicates at its upside. It is Aristotle himself whos uses the words up and down in this sense. (e.g. PsA., A, 22, 83b2-3) d) The predications that lie between lowest and highest ones must be finite in number. (PsA., A, 19-22 especially: 20, 82a21-35) These have subjects and predicates, each capable of both of the roles of being subject and being predicated. A result of this fitness is that neither demonstration can go to infinity nor everything is demonstrable, the two points Aristotle always insist on. e) The upward side includes the more universal ones and the downward the more particular ones. (PsA., 20, 82a21-23) f) It follows from the above features that ‘neither the ascending nor the descending series of predications … are infinite.’ (PsA., A, 22, 83b24-25) g) Reciprocation and convertibility. Except in case of terms (i.e. subjects and predicates) that are at each of the ends of series of predications, namely ultimates and primaries, it is possible to reciprocate (ἀντιστρέφειν) terms and convert the predication. (PsA., A, 19, 82a15-20) h) Antipredication. Antipredication means that in a predication (S is P), the subject becomes the predicate of its predicate (P is S) in the same category its predicate was predicated on it. For example, if P is in the category of quality, antipredication means that S be predicated of P in the category of quality. In other words, P is a quality of S and S is a quality of P. Aristotle rejects this. (PsA., A, 22, 83a36-b3) i) Self-predication versus other-predication. Aristotle distinguishes between a predication in which a term is said of itself and a predication in which a term is said of another. (Phy., Δ, 2, 209a31-33) j) Predicablity (Cat., 5, 3a36-b2): 1) Primary substances and individuals are not predicable. 2) Secondary substances are of two kinds: genus and species i) Genus is predicable able both of the species and of the individuals. ii) Species is predicable of the individual. 3) Differentiae are predicable both of the species and of the individuals. 8) Predication as classification a) Richard Patterson believes that Aristotle’s so repeated construction using hoper (estin A hoper B) in Topics (120a23 sq., 122b19, 26sq., 123a, 124a18, 125a29, 126a21, 128a35. Also in Posterior Analytics (83a24-30) (Brunschwig’s list. ‘expresses the fact that A is a kind of B (esti A B tis), that A is a species of the genus B.’ 9) Universal predication Aristotle defines universal predication (κατὰ παντὸς κατηγορεῖσθαι) as such: ‘wherever no instance of the subject (τῶν τοῦ ὑποκειμέμνου) can be found of which the other term cannot be asserted.’ (PrA., A, 24b27-29) In this predication, the subject is included in another as in a whole (ἐν ὃλῳ εἶναι) and the predicate is predicated of all of the subject (κατὰ παντὸς κατηγορεῖσθαι). (PrA., A, 24b26-27) Attach another discussion we had about ἐν ὃλῳ here. 10) Quantity of predication A predication, truly stated, has a quantity, which is the number of objects under the name of the subject of which the predicate is predicated. The quantity of subject can be stated in four ways: a. Indefinite: when the predicate belongs or does not belong to the subject without any mark to show to haw many of the particulars under the name of the subject it does or does not belong. E.g. ‘Man is white’; ‘Man is not white.’ (PrA., A, 24a20; OI., I, 7, 17b8-12) b. Universal quantity: When the predicate belongs to all or none of the subject. E.g. ‘Every man is animal’; ‘No man is animal.’ (PrA., A, 24a18-19; OI., I, 7, 17b5-6) The contrary of a predication of a universal quality is a predication of a universal quality. E.g. the contrary of ‘Every man is white’ is ‘No man is white.’ (OI., I, 7, 17b20-23) c. Particular quantity: When the predicate belongs (or does not belong) to some of the subject. E.g. ‘Some men are white’; ‘Some men are not white.’ (PrA., A, 24a19-20) d. Single quantity: when the subject is a proper name of only one object. E.g. ‘Socrates is white’; ‘Socrates is not white.’ The contrary of this predication is of a single quantity: ‘Socrates is not white.’ (OI., I, 7, 17b38-18a4) 11) Convertibility of predication. Some predications are convertible, that is, it is possible to change the place of subject and predicate in a true proposition so that the converted proposition remains true. This is supposed to mean that given the truth of a predication, the truth of the converted predication is inferable. The convert form of a predication depends on its quantity. a. Indefinite quantity: This predication has no strictly true convert because its quantity is not stated. b. Universal quantity: It can be converted in two ways: i) A negative universal can be converted to a negative universal in which the terms are changed. E.g. ‘No pleasure is good’ can be converted to ‘No good is pleasure.’ (PrA., A, 2, 25a5-8 and a14-19) ii) An affirmative universal can be converted to an affirmative particular in which the terms are changed. E.g. ‘Every pleasure is good’ can be converted to ‘Some good is pleasure.’ (PrA., A, 2, 25a7-9) c. Particular quantity: If it is negative, it cannot be converted but if it is affirmative, it can be converted to an affirmative predication with particular quantity. E.g. ‘Some pleasure is good’ can be converted to ‘Some good is pleasure.’ (PrA., A, 2, 25a10-13 and a20-24) d. Single quantity: It cannot be converted. 12) Characteristics of relations between subject and predicate 1. A predicate is of a wider range than its subject. It is based on this fact that Aristotle: a) Prevents individuals to be predicate because there is nothing of which an individual be of a wider range. In other words, it is due to the fact that since an individual is only ‘one particular’ thing and, thus, cannot be of a wider extent than anything that Aristotle prevents them of being a predicate. Matthews, however, thinks we cannot use Socrates, a substance and an individual, in the place of predicate and say it of Socrates because ‘Socrates does not classify Socrates: it names him.’ b) Prevents differentia, species and things under species to be predicated of genus. (To., Z, 6, 144a27-) c) Prevents the species and the things under it to be predicated of the differentia. (To., Z, 6, 144b1-4) d) Also about the effect because it is wider than its subject. (PsA., B, 17, 99a) e) Each attribute is wider than every individual it is predicated on, though several attributes, collectively considered, might not be wider but exactly the substance of a thing. (PsA., B, 13, 96a32-b1) 2. The predicate of a predicate of a subject will be predicated of the subject too: ‘whenever one thing is predicated of another as of a subject, all things said of what is predicated will be said of the subject too.’ (Cat., 3, 1b10-15) In fact, it is due to its predication of the subject that it is predicated of its predicate. (Cat., 5, 2a36-b1) Moreover, what is not predicated of the predicate of a subject cannot be predicated of it as well. (PrA., A, 27, 43b22-27) Thus, what, for example, is not predicated of animal, cannot be predicated of man. 3. The predicate of a subject can be predicated of its predicates as well. (Cat., 5, 3a1-6) For example, you call the individual man grammatical and, thence, you call both a man and an animal grammatical. Nonetheless, the predicate of a subject belongs to it more properly than to its higher predicates. (PrA., A, 27, 43a27-32) 4. It is only the subject that can be distributed and not the predicate. (PrA., A, 27, 43b16-22; OI, I, 7, 17b12-16) Therefore, we can say e.g. ‘Every man is animal’ but we cannot say ‘Every man is every animal.’ 5. It is the reason of the relation between subjects and predicates, that is the reason of predication, which is the subject of inquiry. (Met., Z, 1041a20-24) In other words, since it is a meaningless inquiry to ask why a thing is itself (Met., Z, 1041a14-15), the only remaining meaningful inquiry is to ask why something is something else, i.e. to ask about the reason of predication. 6. A subject cannot categorize its predicate in the same category in which it is categorized by it. If e.g. A is a quality of B, B cannot be a quality of A. Therefore, there is no reciprocation in the same category. (PsA., A, 22, 83a36-39) 13) Characteristics of series of predications 1. A series of secondary accidental predication cannot go ad infinitum for not even more than two terms can be comnbined. For an accident is not an accident of an accident, unless it be because both are accidents of the same subject. (Met., Γ, 1007b1-4) 2. Infinite series cannot be traversed in thought. (PsA., A, 22, 83b6-7) 3. The predications of genera on each other must be ended and cannot go to infinity because otherwise not only substances would not be definable but also a genus would be equal to one of its own species. (PsA., A, 22, 83b7-10) Therefore, a series of predication of genera on each other must be limited on both sides. There must be an upward limit in general categories as well as a downward limit in individual because they cannot be predicated of others. Whatever lies between these limits can both be predicated of others and others be predicated of them. (PrA., A, 27, 43a36-43) 4. The order of predicates matters: it makes a difference whether the series be ABC or BAC. (PsA., B, 13, 96b25-32) . (shrink)

This book extends the concept of linguistic coordinate geometry using linguistic planes or semi-linguistic planes. In the case of coordinate planes, we are always guaranteed of the distance between any two points in that plane. However, in the case of linguistic and semi-linguistic planes, we can not always determine the linguistic distance between any two points. This is the first limitation of linguistic planes and semi-linguistic planes.

The systematic study of supermatrices and super linear algebra has been carried out in 2008. These new algebraic structures find their applications in fuzzy models, Leontief economic models and data-storage in computers.

The new classes of super special codes are constructed in this book using the specially constructed super special vector spaces. These codes mainly use the super matrices. These codes can be realized as a special type of concatenated codes.

The notion of linguistic geometry is defined in this book. It is pertinent to keep in the record that linguistic geometry differs from classical geometry. Many basic or fundamental concepts and notions of classical geometry are not true or extendable in the case of linguistic geometry. Hence, for simple illustration, facts like two distinct points in classical geometry always define a line passing through them; this is generally not true in linguistic geometry. Suppose we have two linguistic points as tall (...) and light we cannot connect them, or technically, there is no line between them. However, let's take, for instance, two linguistic points, tall and very short, associated with the linguistic variable height of a person. We have a directed line joining from the linguistic point very short to the linguistic point tall. In this case, it is important to note that the direction is essential when the linguistic variable is a person's height. The other way line, from tall to very short, has no meaning. So in linguistic geometry, in general, we may not have a linguistic line; granted, we have a line, but we may not have it in both directions; the line may be directed. The linguistic distance is very far. So, the linguistic line directed or otherwise exists if and only if they are comparable. Hence the very concept of extending the line infinitely does not exist. Likewise, we cannot say as in classical geometry; three noncollinear points determine the plane in linguistic geometry. Further, we do not have the notion of the linguistic area of well-defined figures like a triangle, quadrilateral or any polygon as in the case of classical geometry. The best part of linguistic geometry is that we can define the new notion of linguistic social information geometric networks analogous to social information networks. This will be a boon to non-mathematics researchers in socio-sciences in other fields where natural languages can replace mathematics. (shrink)

The concept of supermatrix for social scientists was first introduced by Paul Horst. The main purpose of his book was to introduce this concept to social scientists, students, teachers and research workers who lacked mathematical training. This book introduces the concept of fuzzy super matrices and operations on them. The author has provided only those operations on fuzzy supermatrices that are essential for developing super fuzzy multi expert models. This book will be highly useful to social scientists who wish to (...) work with multi expert models. (shrink)

In this book, for the first time, authors try to introduce the concept of linguistic variables as a continuum of linguistic terms/elements/words in par or similar to a real continuum. For instance, we have the linguistic variable, say the heights of people, then we place the heights in the linguistic continuum [shortest, tallest] unlike the real continuum (–∞, ∞) where both –∞ or +∞ is only a non-included symbols of the real continuum, but in case of the linguistic continuum we (...) generally include the ends or to be more mathematical say it is a closed interval, where shortest denotes the shortest height of a person, maybe the born infant who is very short from usual and the tallest will denote the tallest one usually very tall; however this linguistic continuum [shortest, tallest] in the real continuum will be the closed interval say [1 foot, 8 feet] or [1, 8] the measurement in terms of feet. So, the real interval is a subinterval with which we have associated the real continuum in terms of qualifying unit feet and inches in this case. (shrink)

In this book, the authors systematically define the new notion of linguistic graphs associated with a linguistic set of a linguistic variable. We can also define the notion of directed linguistic graphs and linguistic-weighted graphs. Chapter two discusses all types of linguistic graphs, linguistic dyads, linguistic triads, linguistic wheels, complete linguistic graphs, linguistic connected graphs, disconnected linguistic graphs, linguistic components of the graphs and so on. Further, we define the notion of linguistic subgraphs of a linguistic graph. However, like usual (...) graphs, we will not be able to arbitrarily connect any two linguistic words of a linguistic set associated with a linguistic variable. They can be related or adjacent depending on the linguistic variable associated with the linguistic set. This is an exceptional feature of a linguistic graph. (shrink)

In this book, the authors introduce the linguistic set associated with a linguistic variable and the structure of matrices, which they define as linguistic matrices. The authors build linguistic matrices only for those linguistic variables which yield a linguistic continuum or an ordered linguistic set. This book is organised into three chapters. The first chapter is introductory, in which we introduce all the basic concepts of linguistic variables and the associated linguistic set to make this book self-contained. Chapter two introduces (...) linguistic matrices and develops basic properties associated with them, like types of matrices, transpose of matrices and diagonal matrices. Most of the properties enjoyed by real or complex matrices are satisfied by these linguistic matrices. Chapter three deals with operations on the linguistic matrices. (shrink)

This chapter explores the opportunities and limitations of the ideal of transparency in responsible innovation, by consulting the virtual case of "The Circle", a company which appears in Dave Eggers' novel The Circle. The Circle is a high-tech company with the main purpose of being responsive to societal needs. They want to eradicate unethical behaviour in society, enhance public health and make a positive impact on the environment. The ultimate goal of The Circle is to reach 100% full transparency in (...) the world, which is impossible without any societal desirability. In first instance, it is free choice of people to accept and embrace the products and services of The Circle, who invest resources in keeping customers happy and in raising awareness about the dangers of privacy. The chapter concludes that The Circle meets the requirements regarding the outcomes of responsible innovation, at least to a certain extent, while at the same time, one feels unease about certain activities they undertake. (shrink)

Este artigo procura analisar algumas das principais ideias abordadas no encontro anual promovido pela “American Association for the Advancement of Sciencie” em Boston (EUA) em 1953. Parte do encontro foi para abordar sobre o estado atual da concepção operacional de significado desenvolvida por Percy W. Bridgman a partir de 1927. As principais ideias tratadas no encontro foram posteriormente publicadas pela revista “The Scientific Montly” em 1954-1955 e republicadas no capítulo 2 do livro “The validation of scientific theories” (1961), editado por (...) Philipp Frank. A obra de 1961 será utilizada aqui como referência para as citações. Os autores dos capítulos são Henry Margenau, Gustav Bergmann, Carl G. Hempel, R. B. Lindsay, Raymond J. Sieger, Adolf Gründbaun, além do artigo do próprio Percy Bridgman. Este debate surgiu a mais de 20 anos depois da publicação da primeira obra de Bridgman, a saber, “The Logic of Modern Physics” (1927), onde ele apresenta pela primeira vez sua concepção de significado dos conceitos científicos baseada em procedimentos operacionais. A obra de 1927 trouxe os debates sobre a importância da linguagem científica e da correspondência empírica, uma questão pertinente na filosofia da ciência da época inflacionada pela filosofia da ciência do empirismo lógico. Os debates do encontro tiveram como objetivo apresentar questionamentos e fazer exposições gerais sobre a forma como a concepção operacional pode ser interpretada por cientistas e filósofos da época, seja em seus elementos favoráveis na ciência, enquanto resolvendo questões pertinentes para cientistas e filósofos da ciência, seja por mostrar também as limitações da concepção operacional através dos questionamentos dirigidos a ela. Ressaltamos a importância deste debate na época e nos dias atuais. Temos aqui um material que pode servir de direcionamento histórico e de debate filosófico para algumas das questões pertinentes dos filósofos da ciência da época. (shrink)

In this book authors study neutrosophic super matrices. The concept of neutrosophy or indeterminacy happens to be one the powerful tools used in applications like FCMs and NCMs where the expert seeks for a neutral solution. Thus this concept has lots of applications in fuzzy neutrosophic models like NRE, NAM etc. These concepts will also find applications in image processing where the expert seeks for a neutral solution.

Mindfulness training has been used to improve emotional wellbeing in early adolescents. However, little is known about treatment outcome moderators, or individual differences that may differentially impact responses to treatment. The current study focused on gender as a potential moderator for affective outcomes in response to school-based mindfulness training. Sixth grade students (N = 100) were randomly assigned to either the six weeks of mindfulness meditation or the active control group as part of a history class curriculum. Participants in the (...) mindfulness meditation group completed short mindfulness meditation sessions four to five times per week, in addition to didactic instruction (Asian history). The control group received matched experiential activity in addition to didactic instruction (African history) from the same teacher with no meditation component. Self-reported measures of emotional wellbeing/affect, mindfulness, and self-compassion were obtained at pre and post intervention. Meditators reported greater improvement in emotional wellbeing compared to those in the control group. Importantly, gender differences were detected, such that female meditators reported greater increases in positive affect compared to females in the control group, whereas male meditators and control males displayed equivalent gains. Uniquely among females but not males, increases in self-reported self-compassion were associated with improvements in affect. These findings support the efficacy of school-based mindfulness interventions, and interventions tailored to accommodate distinct developmental needs of female and male adolescents. (shrink)

Three separate churches erected in Constantinople were all dedicated to the wisdom of Christ and erected on the same site one after the other. These churches were built between 360 and 537 AD by three different emperors: Constantius II, Theodosius the Younger, and Justinian I. The first two churches were consumed in flames after relatively short lives, but the final and greatest church still stands today, despite a history of extensive damage. This final edifice is the main focus of this (...) paper, owing to its 1500 year longevity and unprecedented architecture. If the entire History of Justinian's church is to considered, it is inaccurate to refer to it as a “church,” because although it remained a church for the first 900 years after its audacious construction, it was later converted into a mosque. Today it is a museum, in remembrance of its long history. (24). (shrink)

This paper presents a preliminary analysis of the first participatory budgeting experiment in the United States, in Chicago's 49th Ward. There are two avenues of inquiry: First, does participatory budgeting result in different budgetary priorities than standard practices? Second, do projects meet normative social justice outcomes? It is clear that allowing citizens to determine municipal budget projects results in very different outcomes than standard procedures. Importantly, citizens in the 49th Ward consistently choose projects that the research literature classifies as low (...) priority. The results are mixed, however, when it comes to social justice outcomes. While there is no clear pattern in which projects are located only in affluent sections of the ward, there is evidence of geographic clustering. Select areas are awarded projects like community gardens, dog parks, and playgrounds, while others are limited to street resurfacing, sidewalk repairs, bike racks, and bike lanes. Based on our findings, we offer suggestions for future programmatic changes. (shrink)

Glоbalizatiоn is an inеvitablе and оbjеctivе trеnd; it has bоth pоsitivе and nеgativе sidеs and pоsеs fоr all cоuntriеs and pеоplеs bоth оppоrtunitiеs and challеngеs. Rеcоgnizing glоbal issuеs rеquirеs glоbal cоnsciоusnеss. Glоbal cоnsciоusnеss, accоrding tо thе authоr, has thе fоllоwing charactеristics: (i) Rеflеcting thе suprеmacy оf univеrsal valuеs; (ii) It must bе fundamеntally adjustеd in thе sеlf-cоnsciоusnеss оf еach natiоn as wеll as оf еach individual; (iii) Highly sciеntific. Tо build glоbal cоnsciоusnеss, philоsоphy plays a particularly impоrtant rоlе. This rоlе (...) manifеsts itsеlf in its twо basic functiоns: thе wоrldviеw functiоn and thе mеthоdоlоgical functiоn. (shrink)

An antinaturalist defense of causality of mental states. The argument is based on the properties of causal models in cognitive research. Bibliografia prac przywołanych w tekście -/- Damasio A., 1994/1999, Błąd Kartezjusza. Emocje, rozum i ludzki mózg, tłum. M. Karpiński, Poznań: Rebis. Davidson D., 1963/2001, „Actions, reasons, and causes”, w: (Davidson 2001), s. 3-19. Davidson D., 1967/2001, „Causal relations”, w: (Davidson 2001), s. 149-62. Davidson D., 1970/2001, „Mental events”, w: (Davidson 2001), s. 207-25. Davidson D., 1976/2001, „Hempel on explaining action”, (...) w: (Davidson 2001), s. 261-75. Davidson D., 2001, Essays on actions and events, Oxford: Clarendon. Farmer A., McGuffin P., Williams J., 2002, Measuring psychopathology, Oxford: Oxford University Press. Freedman D. A., Petitti D. B., 2002, „Salt, blood pressure, and public policy”, International Journal of Epidemiology, t. 31, s. 319–320. Greyson B., 2000, „Near-death experiences”, w: Varieties of anomalous experience. Examining the scientific evidence, red. E. Cardeña, S. J. Lynn i S. Krippner, Washington, DC: American Psychological Association, s. 315-52. Judycki S., 1995, Umysł i synteza, Lublin: RW KUL. Judycki S., 2000, „Transkauzalność a determinizm”, Kognitywistyka i media w edukacji, t. 3, s. 73-86. Kawalec P. 2005, „Understanding science of the new millennium”, http://philsci archive.pitt.edu/archive/00002558/ Kawalec P., 2006, Jak odkryć przyczynę? Studium z ogólnej metodologii i filozofii nauki, Lublin 2006, w przygotowaniu. Kim J., 1998/2002, Umysł w świecie fizycznym, tłum. R. Poczobut, Warszawa: IFiS PAN. Lauritzen S., 1996, Graphical models, Oxford: Clarendon. Menzies P., 2003, „The causal efficacy of mental states”, w: Physicalism and mental causation. The metaphysics of mind and action, red. S. Walter i H.-D. Heckmann, w druku. Pearl J., 2000, Causality. Models, reasoning, and inference, Cambridge: Cambridge University Press. Piłat R., 1999, Umysł jako model świata, Warszawa: IFiS PAN. Rosenbaum P., 2002, Observational studies, Nowy Jork: Springer. Sabom M., 1998, Life and death. One doctors’s fascinating account of near-death experiences, Grand Rapids: Zondervan. Spirtes P., Glymour C., Scheines R., 2000, Causation, prediction, and search, Cambridge, MA.: MIT. van Fraassen B., 1980, The scientific image, Oxford: Clarendon. van Fraassen B., 2002, The empirical stance, New Haven: Yale University Press. Woodward J., 2003, Making things happen: a theory of causal explanation, Nowy Jork: Oxford University Press. Żegleń U., 2003, Filozofia umysłu, Toruń: A. Marszałek. (shrink)

In 2035 global egg demand will have risen 50% from 1985. Because we are not able to tell in the egg whether it will become a male or female chick, billons of one day-old male chicks will be killed. International research initiatives are underway in this area, and governments encourage the development of an alternative with the goal of eliminating the culling of day-old male chicks. The Netherlands holds an exceptional position in the European egg trade, but is also the (...) only country in the European Union where the downside of the egg sector, the practice of killing day-old male chicks, is a recurrent subject of societal debate. ‘Preventing the killing of young animals’ and ‘in ovo sex determination’ are the two alternative approaches available to solve this problem. It is clear that both approaches solve the problem of killing day-old male chicks, either by keeping them alive or by preventing them from living, but they also raise a lot of new animal welfare-related dilemmas. A thorough analysis was undertaken of these dilemmas and the results are presented in this article. The analysis resulted in an ethical framework based on the two main approaches in bioethics: a consequentialist approach and a deontological approach. This ethical framework was used to develop an online survey administered to ascertain Dutch public opinion about these alternative approaches. The results show that neither alternative will be fully accepted, or accepted by more than half of Dutch society. However, the survey does provide an insight into the motives that are important for people’s choice: food safety and a good treatment of animals. Irrespective of the approach chosen, these values should be safeguarded and communicated clearly. (shrink)

This paper explores an emerging sub-field of both empirical bioethics and experimental philosophy, which has been called “experimental philosophical bioethics” (bioxphi). As an empirical discipline, bioxphi adopts the methods of experimental moral psychology and cognitive science; it does so to make sense of the eliciting factors and underlying cognitive processes that shape people’s moral judgments, particularly about real-world matters of bioethical concern. Yet, as a normative discipline situated within the broader field of bioethics, it also aims to contribute to substantive (...) ethical questions about what should be done in a given context. What are some of the ways in which this aim has been pursued? In this paper, we employ a case study approach to examine and critically evaluate four strategies from the recent literature by which scholars in bioxphi have leveraged empirical data in the service of normative arguments. (shrink)

Jennifer Hawkins (2024) offers two cases that challenge traditional accounts of decision-making capacity, according to which respect for a medical decision turns on an individual’s cognitive capacities at the time the decision is made (Hawkins 2024; Appelbaum and Grisso 1988). In each of her described cases (involving anorexia nervosa and grief, respectively), a patient makes a decision that—although instrumentally rational at the time—does not reflect the patient’s longer-term values due to being in a particular psychological state. Importantly, this state does (...) not impair the patient’s cognition, but rather predisposes them to make a decision that conflicts with their own broader values, beliefs, or desires. (shrink)

Sören Halldén’s logic of nonsense is one of the most well-known many-valued logics available in the literature. In this paper, we discuss Peter Woodruff’s as yet rather unexplored attempt to advance a version of such a logic built on the top of a constructive logical basis. We start by recalling the basics of Woodruff’s system and by bringing to light some of its notable features. We then go on to elaborate on some of the difficulties attached to it; on our (...) way to offer a possible solution to such difficulties, we discuss the relation between Woodruff’s system and two-dimensional semantics for many-valued logics, as developed by Hans Herzberger. (shrink)

What is it to be a woman? What is it to be a man? We start by laying out desiderata for an analysis of 'woman' and 'man': descriptively, it should link these gender categories to sex biology without reducing them to sex biology, and politically, it should help us explain and combat traditional sexism while also allowing us to make sense of the activist view that gendering should be consensual. Using a Putnam-style 'Twin Earth' example, we argue that none of (...) the existing analyses in the feminist literature succeeds in meeting all of our desiderata. Finally, we propose a positive account that we believe can satisfy all the desiderata outlined. According to our theory, the genders 'woman' and 'man' are individuated not by their contemporary connections to sex biology, but by their historical continuity with classes that were originally closely connected to sex biology. (shrink)

In a series of recent publications, orofacial researchers have debated the question of how ‘bruxism’ should be defined for the purposes of accurate diagnosis and reliable clinical research. Following the principles of realism-based ontology, we performed an analysis of the arguments involved. This revealed that the disagreements rested primarily on inconsistent use of terms, so that issues of ontology were thus obfuscated by shortfalls in terminology. In this paper, we demonstrate how bruxism terminology can be improved by paying attention to (...) the relationships between (1) particulars and types, and (2) continuants and occurrents. (shrink)

This article is in a larger textbook of articles on Medical Ethics. It identifies a number of values that underlie professional commitments to confidentiality that are involved in protecting or promoting the client's (1) privacy, (2)social status, (3) economic advantages, (4) openness of communications, (5) seeking professional help, (6) trust in professionals, (7) autonomous control over personal information. The problem of making exceptions to confidentiality commitments is also examined.

This paper provides a retrospective and prospective overview of TU Delft’s approach to engineering ethics education. For over twenty years, the Ethics and Philosophy of Technology Section at TU Delft has been at the forefront of engineering ethics education, offering education to a wide range of engineering and design students. The approach developed at TU Delft is deeply informed by the research of the Section, which is centered around Responsible Research and Innovation, Design for Values, and Risk Ethics. These theoretical (...) approaches are premised on the notion that technologies are inherently value-laden, and as such contain the possibility of fostering or hindering moral values. Each of these approaches encourages students to take a proactive attitude with respect to their projects and profession, thinking creatively about – and taking responsibility for – how to both prevent harm and do good via the technologies they help develop. To explain how this is put into practice, this paper sketches a brief history of ethics teaching at TU Delft, outlines current activities, and presents future plans for Bachelor and Master’s level engineering ethics education at TU Delft. (shrink)

(Added April 2023: This draft is superseded by Briggs, R.A., & George, B.R. (2023). 'What Even Is Gender?'. Routledge. DOI 10.4324/9781003053330, and in particular by the first three chapters thereof. While this much earlier draft remains available for archival purposes, you are encouraged to read and cite the 2023 book and to use its terminology.) -/- This paper presents a new taxonomy of sex/gender concepts based on the idea of starting with a few basic components of the sex/gender system, and (...) exhausting the possible types of simple associations and identities based on these. The resulting system is significantly more fine-grained than most competitors, and helps to clarify a number of points of confusion and conceptual tension in academic and activist conversations about feminism, transgender politics, and the social analysis of gender. (shrink)

The first collection of Leibniz's key writings on the binary system, newly translated, with many previously unpublished in any language. -/- The polymath Gottfried Wilhelm Leibniz (1646–1716) is known for his independent invention of the calculus in 1675. Another major—although less studied—mathematical contribution by Leibniz is his invention of binary arithmetic, the representational basis for today's digital computing. This book offers the first collection of Leibniz's most important writings on the binary system, all newly translated by the authors with many (...) previously unpublished in any language. Taken together, these thirty-two texts tell the story of binary as Leibniz conceived it, from his first youthful writings on the subject to the mature development and publication of the binary system. -/- As befits a scholarly edition, Strickland and Lewis have not only returned to Leibniz's original manuscripts in preparing their translations, but also provided full critical apparatus. In addition to extensive annotations, each text is accompanied by a detailed introductory “headnote” that explains the context and content. Additional mathematical commentaries offer readers deep dives into Leibniz's mathematical thinking. The texts are prefaced by a lengthy and detailed introductory essay, in which Strickland and Lewis trace Leibniz's development of binary, place it in its historical context, and chart its posthumous influence, most notably on shaping our own computer age. (shrink)

Philosophers of science commonly connect ontology and science, stating that these disciplines maintain a two-way relationship: on the one hand, we can extract ontology from scientific theories; on the other hand, ontology provides the realistic content of our scientific theories. In this article, we will critically examine the process of naturalizing ontology, i.e., confining the work of ontologists merely to the task of pointing out which entities certain theories commit themselves to. We will use non-relativistic quantum mechanics as a case (...) study. We begin by distinguishing two roles for ontology: the first would be characterized by cataloging existing entities according to quantum mechanics; the second would be characterized by establishing more general ontological categories in which existing entities must be classified. We argue that only the first step is available for a naturalistic approach; the second step not being open for determination or anchoring in science. Finally, we also argue that metaphysics is still a step beyond ontology, not contained in either of the two tasks of ontology, being thus even farther from science. (shrink)

RESUMO Os cuidados para atender às necessidades específicas da fêmea gestante são indispensáveis para o sucesso no manejo reprodutivo de qualquer espécie. Entretanto, é necessário entender que podem acontecer problemas em qualquer uma das fases reprodutivas, inclusive na gestação. Antes de tudo, na clínica e na produção, a sobrevivência dos fetos significa êxito no manejo reprodutivo. Durante o período gestacional podem se desenvolver diversas afecções no útero da fêmea, dentre elas podem ser citadas: mumificação fetal, gravidez ectópica, maceração fetal, prenhez (...) múltipla patológica e diversas anomalias que podem acometer os envoltórios e líquidos fetais. Essas doenças representam prognóstico ruim para a fêmea e para o feto, podendo resultar em perdas fetais. O conhecimento acerca das características dessas afecções, bem como a fisiopatologia e diagnóstico são indispensáveis para o sucesso da reprodução animal. Palavras-chave: Ginecologia, reprodução, gestação. ABSTRACT Care to meet the specific needs of pregnant females is essential for the successful reproductive management of any species. However, it is necessary to understand that problems may occur in any of the reproductive stages, including pregnancy. First of all, in the clinic and production, the survival of fetuses means success in reproductive management. During the gestational period, several pathological conditions can develop in the female uterus, among them fetal mummification, ectopic pregnancy, fetal maceration, pathological multiple pregnancy, and the various anomalies that can affect fetal envelopes and fluids. These illnesses represent a poor prognosis for the female and the fetus and may result in fetal loss. Knowledge about the characteristics of these conditions, as well as the pathophysiology and diagnosis are essential for the success of animal reproduction. Keywords: Gynecology, reproduction, gestation. -/- INTRODUÇÃO Na fisiologia da reprodução nos mamíferos, a implantação e a placentação são processos essenciais na nutrição do embrião e do feto e do seu desenvolvimento. Nos bovinos leiteiros, estima-se uma taxa de fertilização de 95%, com apenas 55% desses zigotos se desenvolvendo a termo e com perda de gestações de 35% (SILVA, 2021). Em equinos varia entre 5 e 15% (BRINSKO et al., 2011) e em suínos chega a 40% (VAN DER LENDE et al., 1994). A reprodução permite a manutenção do equilíbrio biótico, entretanto, falhas podem ocorrer, desde a concepção até o parto, incapacitando o pleno desenvolvimento gestacional e acarretando danos à cadeia produtiva (BRAGA e BARROSO, 2014). A taxa de perda gestacional atinge o pico durante o desenvolvimento embrionário e diminui após 45 dias, à medida que a gestação progride e a placentação ativa está completa (REESE et al., 2020). A placenta permite contato vascular eficaz entre as membranas fetais e o endométrio materno, através do qual ocorre a troca de oxigênio e de nutrientes vindos pelo sangue materno, além dos produtos de excreção do sangue fetal. Ela apresenta quatro membranas: a) âmnio, que contém o fluido amniótico que banha o embrião; b) saco vitelínico, que armazena os nutrientes; c) saco alantoide, onde os restos do metabolismo embrionário são estocados e d) córion, que delimita os limites do embrião e interage seletivamente com o ambiente externo, permitindo nutrientes e/ou oxigênio cheguem ao embrião (SILVA, 2020). No aparelho reprodutivo feminino as estruturas internas são presas pelo ligamento mesovário, que sustenta o ovário; o mesossalpinge, que ancora o oviduto e o mesométrio, que mantém o útero no seu lugar. Ele compreende os ovários, tubas, útero, cérvix, vagina, vestíbulo e vulva (KÖNIG e LIEBICH, 2021). O útero é formado por dois cornos, na região mesogástrica, que formam o corpo uterino, dorsal a vesícula urinária e ventral ao cólon descendente (PINTO e LORIGADOS, 2015). A cérvix fica na região caudal do útero (DYCE, 2019) e é composta pelo óstio uterino interno e o externo (KÖNIG e LIEBICH, 2021). O líquido amniótico é um complexo biológico que proporciona proteção mecânica, nutrientes e substâncias para o crescimento fetal e possui efeito antimicrobiano (UNDERWOOD et al., 2005). Ele desempenha várias funções: protege o feto contra traumas, desidratação e mudanças de temperatura; permite o desenvolvimento fetal e sua mobilidade; amplia a lubrificação da vagina após a ruptura da bolsa, inibe o crescimento bacteriano por ação mecânica de limpeza e previne aderências (GRUNERT e BIRGEL, 1984). As enfermidades do trato reprodutivo têm causado problemas reprodutivos, acarretando perdas econômicas (JÚNIOR et al., 2009). Os problemas na esfera da fisiopatologia da reprodução em animais, está associada ao período do periparto (SCOTT, 2005). Entretanto, existem relatos de sua ocorrência em fêmeas não gestantes e também fora do período puerperal (PRESTES et al., 2008; SALES et al., 2011). Devido à importância das diversas patologias que atingem o útero gravídico, esse trabalho tem como objetivo buscar identificar na literatura científica existente as características, diagnóstico e tratamento de cada alteração uterina, pautando discussão crítica sobre os processos de formação de cada uma. (shrink)