Emiliano Ippoliti
Biographic Data
| ID | 5996303 |
|---|---|
| NAME | Emiliano Ippoliti |
| GIVEN NAMES | Emiliano |
| FAMILY NAME | Ippoliti |
| SIGNATURE | IPPOLITI E |
| AFFILIATIONS | Sapienza University of Rome |
| ORCID | 0000-0002-5515-0853 |
| VERIFIED | Yes |
| TOTAL WORKS | 6 |
| TOTAL CITATIONS | 0 |
| WORKS AS AUTHOR | 4 |
| WORKS AS EDITOR | 2 |
| FIRST PUBLICATION YEAR | 2018 |
| LATEST PUBLICATION YEAR | 2026 |
| H-INDEX | 0 |
The Problem of Stock Market Mathematics and Mandelbrot’s Bottom-Up Approach
In this article, I explore the efforts to mathematize finance—particularly stock markets—and analyze what is gained and lost through this process, focusing on Mandelbrot’s mathematical theory. I specifically investigate two main approaches to building a mathematical framework for financial systems: the top-down and bottom-up approaches, assessing the epistemic and methodological benefits and drawbacks of each. I argue that Mandelbrot’s theory ali…
Philosophy and Finance
The explanatory and heuristic power of mathematics
On the heuristic power of mathematical representations
I argue that mathematical representations can have heuristic power since their construction can be ampliative. To this end, I examine how a representation (a) introduces elements and properties into the represented object that it does not contain at the beginning of its construction, and (b) how it guides the manipulations of the represented object in ways that restructure its components by gradually adding new pieces of information to produce a …
Undecidability of the Spectral Gap
Building Theories
No prominent works on this page.
Building Theories
Undecidability of the Spectral Gap
On the heuristic power of mathematical representations
I argue that mathematical representations can have heuristic power since their construction can be ampliative. To this end, I examine how a representation (a) introduces elements and properties into the represented object that it does not contain at the beginning of its construction, and (b) how it guides the manipulations of the represented object in ways that restructure its components by gradually adding new pieces of information to produce a …
The explanatory and heuristic power of mathematics
Philosophy and Finance
The Problem of Stock Market Mathematics and Mandelbrot’s Bottom-Up Approach
In this article, I explore the efforts to mathematize finance—particularly stock markets—and analyze what is gained and lost through this process, focusing on Mandelbrot’s mathematical theory. I specifically investigate two main approaches to building a mathematical framework for financial systems: the top-down and bottom-up approaches, assessing the epistemic and methodological benefits and drawbacks of each. I argue that Mandelbrot’s theory ali…
Epistemology (4 works) · Computer Science (3 works) · Mathematics (3 works) · Philosophy (3 works) · Philosophy and History of Science (3 works) · Economic Theory and Institutions (2 works) · Financial market (2 works) · Heuristic (2 works) · History and Theory of Mathematics (2 works) · Metaphysics (2 works)