Nidus Idearum. Scilogs, XV: NeutroNexus

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In this volume, I delve into a wide spectrum of topics, spanning mathematics, physics, philosophy, artificial intelligence, and social dynamics. A significant portion of the book is dedicated to neutrosophy and its extensions, including refined and quadripartitioned neutrosophic sets, neutrosophic determinants, and their applications in decision-making, evolutionary biology, and algebraic structures. The plithogenic approach, with its focus on multi-valued, multi-attributed frameworks, is also examined through concepts such as plithogenic derivatives and constants.

Additionally, this volume explores the Dezert-Smarandache Theory (DSmT) and its implications for sensor fusion and probability assessment. The rank preservation, Bayesian masses, and decision fusion rules is considered, shedding light on critical aspects of belief representation and reasoning under uncertainty.

Beyond mathematics and theoretical physics, I reflect on broader philosophical and societal questions: the spectrum of moral and social dynamics, the nature of free will, and the implications of population growth. The philosophical underpinnings of paradoxism, indeterminacy, and the evolving nature of logic are also explored.

Technological advancements, including neutrosophic control in robotics and the impact of digital proliferation on learning and cognition, form another key theme of this volume. As artificial intelligence and automation continue to shape our world, I examine their implications through a neutrosophic and plithogenic lens.

This book is not meant to provide definitive answers but rather to serve as a repository of ideas, questions, and intellectual provocations. I invite you, the reader, to engage, challenge, and expand upon these concepts, using them as a foundation for further inquiry and innovation.

Exchanging ideas with Mayada Abualhomos, R. Alagar, Y. AlHasan, Mai Mousa Mahmoud Alhejoj, Abdallah Al-Husban, Norah Mousa Alrayes, G. Albert Asirvatham, Mahmut Baydaș, Octavian Blaga, Said Broumi, Victor Christianto, Jean Dezert, Dan Florin Lazăr, Feng Liu, Mohammad Hamidi, Ion Marinică, Nivetha Martin, Sagvan Y. Musa, Mutaz Mohamed Abbas Ali, Antonios Paraskevas, Amani Shatarah, Takaaki Fujita, Michael Voskoglou (alphabetically ordered).

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