Artificial mathematical intelligence : cognitive, (meta)mathematical, physical and philosophical foundations / Danny A. J. Gómez Ramírez.

Format:

Book

Author/Creator:

Gómez Ramírez, Danny A. J., author.

Contributor:

ProQuest ebook central.

Edward Potts Cheyney Memorial Fund.

Language:

English

Subjects (All):

Computer science--Mathematics.

Computer science.

Neural networks (Computer science).

Physical Description:

1 online resource (xxi, 259 pages) : illustrations (some color)

Place of Publication:

Cham : Springer, 2020.

System Details:

text file PDF

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. .

Notes:

Electronic reproduction. Ann Arbor, MI Available via World Wide Web.

Local Notes:

Acquired for the Penn Libraries with assistance from the Edward Potts Cheyney Memorial Fund.

ISBN:

9783030502737

3030502732

Publisher Number:

99986196182

Access Restriction:

Restricted for use by site license.