Artificial Mathematical Intelligence: Cognitive, (Meta)mathematical, Physical and Philosophical Foundations

Author:   Danny A. J. Gómez Ramírez
Publisher:   Springer Nature Switzerland AG
Edition:   1st ed. 2020
ISBN:  

9783030502751


Pages:   259
Publication Date:   25 October 2021
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Artificial Mathematical Intelligence: Cognitive, (Meta)mathematical, Physical and Philosophical Foundations


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Author:   Danny A. J. Gómez Ramírez
Publisher:   Springer Nature Switzerland AG
Imprint:   Springer Nature Switzerland AG
Edition:   1st ed. 2020
Weight:   0.438kg
ISBN:  

9783030502751


ISBN 10:   3030502759
Pages:   259
Publication Date:   25 October 2021
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

"1. Global Introduction to the Artificial Mathematical Intelligence General Program.- 2. Some Basic Technical (Meta-)Mathematical Preliminaries for Cognitive Mathematics.- Part I. New Cognitive Foundations for Mathematics.- 3. General Considerations for the New Cognitive Foundations' Program.- 4. Towards the (Cognitive) Reality of Mathematics and the Mathematics of (Cognitive) Reality).- 5. The Physical Numbers.- 6. Dathematics: A Meta-Isomorphic Version of ""Standard"" Mathematics Based on Proper Classes.- Part II. Global Taxonomy of the Fundamental Cognitive Mathematical Mechanisms Used in Mathematical Research.- 7. Conceptual Blending in Mathematical Creation/Invention.- 8. Formal Analogical Reasoning in Concrete Mathematical Research.- 9. Conceptual Substratum.- 10. (Initial) Global Taxonomy of the Most Fundamental  Cognitive Mechanisms Used in Mathematical Creation/Invention.- Part III. Toward a Universal Meta-Modeling of Mathematical Creation/Invention.- 11. Meta-Modeling of Classic and Modern Mathematical Proofs and Concepts.- 12. The Most Outstanding (Future) Challenges Toward Global AMI and its Plausible Extensions. "

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