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Titlebook: Artificial Mathematical Intelligence; Cognitive, (Meta)mat Danny A. J. Gómez Ramírez Book 2020 Springer Nature Switzerland AG 2020 foundati

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發(fā)表于 2025-3-21 20:06:10 | 只看該作者 |倒序瀏覽 |閱讀模式
期刊全稱Artificial Mathematical Intelligence
期刊簡稱Cognitive, (Meta)mat
影響因子2023Danny A. J. Gómez Ramírez
視頻videohttp://file.papertrans.cn/163/162610/162610.mp4
發(fā)行地址Sets the multidisciplinary foundations of Artificial Mathematical Intelligence and Cognitive Metamathematics.Provides both classic and new results concerning the (artificial) co-generation of old and
圖書封面Titlebook: Artificial Mathematical Intelligence; Cognitive, (Meta)mat Danny A. J. Gómez Ramírez Book 2020 Springer Nature Switzerland AG 2020 foundati
影響因子.This volume discusses the theoretical foundations of a new inter- and intra-disciplinary meta-research discipline, which can be succinctly called .cognitive metamathematics., with the ultimate goal of achieving a global instance of concrete Artificial Mathematical Intelligence (AMI). In other words, AMI looks for the construction of an (ideal) global artificial agent being able to (co-)solve interactively formal problems with a conceptual mathematical description in a human-style way. It first gives formal guidelines from the philosophical, logical, meta-mathematical, cognitive, and computational points of view supporting the formal existence of such a global AMI framework, examining how much of current mathematics can be completely generated by an interactive computer program and how close we are to constructing a machine that would be able to simulate the way a modern working mathematician handles solvable mathematical conjectures from a conceptual point of view.?. .The thesis that it is possible to meta-model the intellectual job of a working mathematician is heuristically supported by the computational theory of mind, which posits that the mind is in fact a computational syste
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https://doi.org/10.1007/978-1-349-16779-1blending as a strong tool for enhancing the creative potential of students are described through a case study (Some of the results of this chapter can also be found in Gomez-Ramirez and Smaill (Formal conceptual blending in the (co-)invention of (pure) mathematics. However, all the meta-theorems and
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The Physical Numbersadigm-shifting (bottom-up) meta-perspective is shown for understanding the causes of the high level of difficulty that the solutions of a large number of problems in classic elementary number theory possess.
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esis that it is possible to meta-model the intellectual job of a working mathematician is heuristically supported by the computational theory of mind, which posits that the mind is in fact a computational syste978-3-030-50275-1978-3-030-50273-7
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Book 2020gnitive metamathematics., with the ultimate goal of achieving a global instance of concrete Artificial Mathematical Intelligence (AMI). In other words, AMI looks for the construction of an (ideal) global artificial agent being able to (co-)solve interactively formal problems with a conceptual mathem
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https://doi.org/10.1007/978-94-007-2831-8ely many variables, field, field extension, group of automorphisms of a field (extension), (base for a) topological space, (ideal associated to a) algebraic set, ring of coordinates of an algebraic set, pre-sheaf and sheaf with values on the category of sets.
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