Results for 'Shanna Erickson'

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  1. Perfectoid Diamonds and n-Awareness. A Meta-Model of Subjective Experience.Shanna Dobson & Robert Prentner - manuscript
    In this paper, we propose a mathematical model of subjective experience in terms of classes of hierarchical geometries of representations (“n-awareness”). We first outline a general framework by recalling concepts from higher category theory, homotopy theory, and the theory of (infinity,1)-topoi. We then state three conjectures that enrich this framework. We first propose that the (infinity,1)-category of a geometric structure known as perfectoid diamond is an (infinity,1)-topos. In order to construct a topology on the (infinity,1)-category of diamonds we then propose (...)
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  2. Pluralist-Monism. Derived Category Theory as the Grammar of n-Awareness.Shanna Dobson & Robert Prentner - manuscript
    In this paper, we develop a mathematical model of awareness based on the idea of plurality. Instead of positing a singular principle, telos, or essence as noumenon, we model it as plurality accessible through multiple forms of awareness (“n-awareness”). In contrast to many other approaches, our model is committed to pluralist thinking. The noumenon is plural, and reality is neither reducible nor irreducible. Nothing dies out in meaning making. We begin by mathematizing the concept of awareness by appealing to the (...)
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  3. Teoria e Explicação na Filosofia de David Hume: Uma Abordagem Falibilista?Erickson Cristiano dos Santos - 2010 - Dissertation, University of São Paulo, Brazil
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  4. Efimov K-theory of Diamonds.Shanna Dobson - manuscript
    Motivated by Scholze and Fargues' geometrization of the local Langlands correspondence using perfectoid diamonds and Clausen and Scholze's work on the K-theory of adic spaces using condensed mathematics, we introduce the Efimov K-theory of diamonds. We propose a pro-diamond, a large stable (infinity,1)-category of diamonds D^{diamond}, diamond spectra and chromatic tower, and a localization sequence for diamond spectra.
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  5. Categorical Mental Imagery: Visualizing the 4th Spatial Dimension.Shanna Dobson & Zihang Zhong - manuscript
    We present a colorful and novel discussion of mathematical techniques of visualizing a fourth spatial dimension. We first discuss notions of dimensionality including the homotopy dimension for objects in an (infinity,1)-topos. We try to visualize the fourth spatial dimension using color, and illustrate this with four-dimensional ice-cream. We apply categorical negative thinking to what we have called (infinity,1)-visual epistemology. The aim is that visualizations of higher spatial dimensions can occur functorially. We illustrate with five images five conjectural methods for how (...)
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  6. Categorical Colors in Diamonds: Sight as Site: Categorical Ozma and Cinderella.Shanna Dobson - manuscript
    We present colorful illustrations of particular properties of functorial diamonds, in the sense of Scholze; namely profinite reflections as categorical colors.We discuss sight as site using representable functors in the condensed formalism. We illuminate diamonds using our novel constructions of categorical Ozma and Cinderella, the site of Oz, and condensed Through the Looking-Glass.
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  7. Artistic Mediation in Mathematized Phenomenology.Robert Prentner & Shanna Dobson - manuscript
    Mathematics has a long track record of refining the concepts by which we make sense of the world. For example, mathematics allows one to speak about different senses of "sameness", depending on the larger context. Phenomenology is the name of a philosophical discipline that tries to systematically investigate the first-personal perspective on reality and how it is constituted. Together, mathematics and phenomenology seem to be a good fit to derive statements about our experience that are, at the same time, well-defined, (...)
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  8. A Comprehensive Review of Diamonds and their Incarnations in the Langlands Program. [REVIEW]Dobson Shanna - manuscript
    A comprehensive review of diamonds, in the sense of Scholze, is presented. The diamond formulations of the Fargues-Fontaine curve and Bun_G are stated. Principal results centered on the diamond formalism in the global Langlands correspondence and the geometrization of the local Langlands correspondence are given. We conclude with a discussion of future geometrizations, and conjecture a diamond reformulation of quantum computational complexity towards a diamond ER = EPR.
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  9. Pro-Generative Adversarial Network and V-stack Perceptron, Diamond Holographic Principle, and Pro-Temporal Emergence.Shanna Dobson - manuscript
    We recently presented our Efimov K-theory of Diamonds, proposing a pro-diamond, a large stable (∞,1)-category of diamonds (D^{diamond}), and a localization sequence for diamond spectra. Commensurate with the localization sequence, we now detail four potential applications of the Efimov K-theory of D^{diamond}: emergent time as a pro-emergence (v-stack time) in a diamond holographic principle using Scholze’s six operations in the ’etale cohomology of diamonds; a pro-Generative Adversarial Network and v-stack perceptron; D^{diamond}cryptography; and diamond nonlocality in perfectoid quantum physics.
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  10. Events and Memory in Functorial Time I: Localizing Temporal Logic to Condensed, Event-Dependent Memories.Shanna Dobson & Chris Fields - manuscript
    We develop an approach to temporal logic that replaces the traditional objective, agent- and event-independent notion of time with a constructive, event-dependent notion of time. We show how to make this event-dependent time entropic and hence well-defined. We use sheaf-theoretic techniques to render event-dependent time functorial and to construct memories as sequences of observed and constructed events with well-defined limits that maximize the consistency of categorizations assigned to objects appearing in memories. We then develop a condensed formalism that represents memories (...)
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  11. Dark Imaginarium: Infinity-Curiosity & Dark Consciousness.Shanna Dobson - manuscript
    We investigate the idea of sleep as the protostate, and posit the idea of dark consciousness where dark is a 2-fold hybrid. We model dark consciousness as a 2-topos in p-adic time, and outline perfectoid and diamond-like versions. We then introduce and illustrate implications of Dark Imaginarium, which is a higher order Curiosity Artificial Intelligence, an Infinity-Curiosity Type, that thinks in infinity categories.
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  12. Qurio: QBit Learning, Quantum Pedagogy, and Agentive AI Tutors.Shanna Dobson & Julian Scaff - manuscript
    We propose Qurio, which is our new model of pedagogy incorporating the principles of quantum mechanics with a curiosity AI called Curio AI equipped with a meta-curiosity algorithm. Curio has a curiosity profile that is in a quantum superposition of every possible curiosity type. We describe the ethos and tenets of Qurio, which we claim can create an environment supporting neuroplasticity that cultivates curiosity powered by tools that exhibit their own curiosity. We give examples of how to incorporate non-locality, complementarity, (...)
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  13. Quantum Intrinsic Curiosity Algorithms.Shanna Dobson & Julian Scaff - manuscript
    We propose a quantum curiosity algorithm as a means to implement quantum thinking into AI, and we illustrate 5 new quantum curiosity types. We then introduce 6 new hybrid quantum curiosity types combining animal and plant curiosity elements with biomimicry beyond human sensing. We then introduce 4 specialized quantum curiosity types, which incorporate quantum thinking into coding frameworks to radically transform problem-solving and discovery in science, medicine, and systems analysis. We conclude with a forecasting of the future of quantum thinking (...)
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  14. Neuronal Time Crystals: Shared Intelligence as an Everettian Phone.Shanna Dobson - manuscript
    Commensurate with our work on dark consciousness, we present a small extension of our previous formalism to model the mixed-frequency states as time crystals. We then posit shared intelligence as an Everettian phone, which is a looking-glass p-adic periodicity in time.
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  15. An Impossibility Theorem for Base Rate Tracking and Equalized Odds.Rush Stewart, Benjamin Eva, Shanna Slank & Reuben Stern - forthcoming - Analysis.
    There is a theorem that shows that it is impossible for an algorithm to jointly satisfy the statistical fairness criteria of Calibration and Equalised Odds non-trivially. But what about the recently advocated alternative to Calibration, Base Rate Tracking? Here, we show that Base Rate Tracking is strictly weaker than Calibration, and then take up the question of whether it is possible to jointly satisfy Base Rate Tracking and Equalised Odds in non-trivial scenarios. We show that it is not, thereby establishing (...)
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  16. Constructing Condensed Memories in Functorial Time.Shanna Dobson & Chris Fields - manuscript
    If episodic memory is constructive, experienced time is also a construct. We develop an event-based formalism that replaces the traditional objective, agent-independent notion of time with a constructive, agent-dependent notion of time. We show how to make this agent-dependent time entropic and hence well-defined. We use sheaf-theoretic techniques to render agent-dependent time functorial and to construct episodic memories as sequences of observed and constructed events with well-defined limits that maximize the consistency of categorizations assigned to objects appearing in memories. We (...)
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  17. (1 other version)Deleuzian Haecceity and Derridean Arche-Writing as a Stackified Infinity-Exigency.Shanna Dobson - manuscript
    We construct a mathematization of Derridian "arche-writing" and Deleuzian "haecceity." We posit an infinity-categorification of exigency (infinity-exigency), a higher-dimensional visual epistemology (infinity-visual epistemology), and infinity-stack Wittgenstein ladder. We reframe haecceities in terms of diamonds, in the sense of Scholze, and mathematize the haecceity-and-arche-writing reflection as a pro-diamond. As an exercise in infinity-visual epistemology, we validate a diamond infinity-stack time signature and infinity-stack harmony.
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  18. Making Up Our Minds: Imaginative Deconstruction in MathArt, 1920 – Present.Shanna Dobson & Chris Fields - manuscript
    The cognitive sciences tell us that the self is a construct. The visual arts illustrate this fact. Mathematics give it full expression, abstracting the self to a Grothendieck site. This self is a haecceity, an ephemeral this-ness and now-ness. We make up our minds and our histories. That our acts are public, that they communicate effectively, becomes a dialetheic paradox, a deep paradox for our times.
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  19. Time-Warps.Hector M. Manrique, Shanna Dobson & Michael J. Walker - manuscript
    Time and space are conflated in time-warps when asleep we dream. Our wakeful cognitive ability to keep them separate indicates different ways of envisaging self-hood. Awareness that dream-time and life-time are separate is itself a propensity of human minds that has evolved by natural selection with adaptive developments in cerebral neuronal circuitry that underpin human behavioural complexity. The contrast is highlighted between how memory of our spatio-temporal experiences appears to be treated by our brain one way when we are wide-awake (...)
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  20. Vitaminas e minerais na nutrição de bovinos.Joyanne Mirelle de Sousa Ferreira, Cleyton de Almeida Araújo, Rosa Maria dos Santos Pessoa, Glayciane Costa Gois, Fleming Sena Campos, Saullo Laet Almeida Vicente, Angela Maria dos Santos Pessoa, Dinah Correia da Cunha Castro Costa, Paulo César da Silva Azevêdo & Deneson Oliveira Lima - 2023 - Rev Colombiana Cienc Anim. Recia 15 (2):e969.
    RESUMO A alimentação é o fator que mais onera um sistema de produção animal. Assim, a utilização de diferentes estratégias de alimentação dos animais ainda é o grande desafio da nutrição animal, principalmente, levando em consideração as exigências nutricionais de diferentes categorias de ruminantes, em especial bovinos em regiões tropicais, haja vista que a sazonalidade na produção de forragens afeta diretamente a produção bovina, promovendo inadequação no atendimento das exigências nutricionais dos animais principalmente em minerais e vitaminas. Uma alimentação que (...)
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  21. (1 other version)Methodologies of Kelp: On Feminist Posthumanities, Transversal Knowledge Production and Multispecies Ethics in an Age of Entanglement.Cecilia Åsberg, Janna Holmstedt & Marietta Radomska - 2020 - In H. Mehti, N. Cahoon & A. Wolfsberger (eds.), The Kelp Congress. pp. 11-23.
    We take kelp as material entities immersed in a multitude of relations with other creatures (for whom kelp serves as both nourishment and shelter) and inorganic elements of the milieu it resides in, on the one hand, and as a figuration: a material-semiotic “map of contestable worlds” that encompasses entangled threads of “knowledge, practice and power” (Haraway 1997, 11) in its local and global sense, on the other. While drawing on our field notes from the congress and feminist posthumanities and (...)
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  22. Moral education in Slovakia and its theoretical basis.Vasil Gluchman - 2016 - Ethics and Bioethics (in Central Europe) 6 (1-2):79-89.
    With regard to existing concept of the moral education (ethics) in Slovakia, the questions of ethics and morals are only one of the partial sections. The dominant role is played by psychology based on Roberto Olivar’s concept with emphasis on pro–socialization and on Erickson’s concept of the psychosocial development. From the philosophy basis point of view, only Aristotle, even in reduced form and Spranger’s concept of the life forms are mentioned. Philosophy and ethics are only complements to more psychologically (...)
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  23. Singular referential names as nonrigid designators and bound variables.Samuel Jambrović - 2022 - In Özge Bakay, Breanna Pratley, Eva Neu & Peyton Deal (eds.), NELS 52: Proceedings of the fifty-second annual meeting of the North East Linguistic Society, volume two. Graduate Linguistics Student Association. pp. 73-86.
    This paper contributes to the debate regarding the semantic type of singular referential names. According to one view, known as referentialism, names rigidly designate individuals (Kripke 1972, Abbott 2002, Leckie 2013, Jeshion 2015, Schoubye 2017). According to another view, known as predicativism, names designate properties of individuals (Burge 1973, Geurts 1997, Bach 2002, Elbourne 2005, Matushansky 2008, Fara 2015). Most predicativist accounts claim that bare names in English occur with a phonologically null determiner, a proposal that is based on languages (...)
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  24. Gametogênese Animal: Espermatogênese e Ovogênese.Emanuel Isaque Cordeiro da Silva - manuscript
    GAMETOGÊNESE -/- Emanuel Isaque Cordeiro da Silva Instituto Agronômico de Pernambuco Departamento de Zootecnia – UFRPE Embrapa Semiárido -/- • _____OBJETIVO -/- Os estudantes bem informados, estão a buscando conhecimento a todo momento. O estudante de Veterinária e Zootecnia, sabe que a Reprodução é uma área de primordial importância para sua carreira. Logo, o conhecimento da mesma torna-se indispensável. No primeiro trabalho da série fisiologia reprodutiva dos animais domésticos, foi abordado de forma clara, didática e objetiva os mecanismos de diferenciação (...)
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