Davide Rizza
Biographic Data
| ID | 5965953 |
|---|---|
| NAME | Davide Rizza |
| GIVEN NAMES | Davide |
| FAMILY NAME | Rizza |
| SIGNATURE | RIZZA D |
| AFFILIATIONS | University of East Anglia |
| ORCID | 0000-0002-1375-371X |
| VERIFIED | Yes |
| TOTAL WORKS | 7 |
| TOTAL CITATIONS | 5 |
| WORKS AS AUTHOR | 7 |
| WORKS AS EDITOR | 0 |
| FIRST PUBLICATION YEAR | 2011 |
| LATEST PUBLICATION YEAR | 2025 |
| H-INDEX | 2 |
Measurement theory in the context of scientific enquiry
The body of work on mathematical models of measurement known as ‘measurement theory’ is not yet adequately understood from a philosophical standpoint. Recent evaluations of measurement theory (in this paper I focus on Heilmann (Philosophy of Science 82:787–797, 2015); Philippi (Philosophy of Science 88:929-939, 2021); Tal (Perspectives on Science 29:701–741, 2021)) have dislocated it from the context of scientific enquiry, making it harder to app…
Eulerian Routing in Practice
The Königsberg bridge problem has played a central role in recent philosophical discussions of mathematical explanation. In this paper I look at it from a novel perspective, which is independent of explanatory concerns. Instead of restricting attention to the solved Königsberg bridge problem, I consider Euler’s construction of a solution method for the problem and discuss two later integrations of Euler’s approach into a more structured methodolo…
Mathematical problem-solving in scientific practice
In this paper I study the activity of mathematical problem-solving in scientific practice, focussing on enquiries in mathematical social science. I identify three salient phases of mathematical problem-solving and adopt them as a reference frame to investigate aspects of applications that have not yet received extensive attention in the philosophical literature
Arrow’s theorem and theory choice
The Applicability of Mathematics
In this article, I argue that mapping-based accounts of applications cannot be comprehensive and must be supplemented by analyses of other, qualitatively different, forms of application. I support these claims by providing a detailed discussion of the application of mathematics to a problem of election design that is prominent in social choice theory
Resolving Paradoxes In Judgment Aggregation
When a law court makes a decision based on the individual deliberation of each judge, a case of judgment aggregation occurs. The possibility that the aggregation's outcome be logically inconsistent, even though it is based on consistent individual judgments, arises relatively easily and has been the subject of several investigations. In this paper I show that this paradoxical behaviour is the effect of decision procedures that are unable to discr…
Mathematics and Reality - Mary Leng
Mary Leng's book presents a fictionalist account of pure and applied mathematics in the context of naturalist ontology. The main claim of the book is that the close inspection of the practice of pure and applied mathematics, carried out against the standards of successful scientific enquiry, does not imply ontological commitment to the existence of abstract mathematical entities. Although the focus of the discussion is by and large applied mathem…
The Applicability of Mathematics
In this article, I argue that mapping-based accounts of applications cannot be comprehensive and must be supplemented by analyses of other, qualitatively different, forms of application. I support these claims by providing a detailed discussion of the application of mathematics to a problem of election design that is prominent in social choice theory
Arrow’s theorem and theory choice
Mathematics and Reality - Mary Leng
Mary Leng's book presents a fictionalist account of pure and applied mathematics in the context of naturalist ontology. The main claim of the book is that the close inspection of the practice of pure and applied mathematics, carried out against the standards of successful scientific enquiry, does not imply ontological commitment to the existence of abstract mathematical entities. Although the focus of the discussion is by and large applied mathem…
Resolving Paradoxes In Judgment Aggregation
When a law court makes a decision based on the individual deliberation of each judge, a case of judgment aggregation occurs. The possibility that the aggregation's outcome be logically inconsistent, even though it is based on consistent individual judgments, arises relatively easily and has been the subject of several investigations. In this paper I show that this paradoxical behaviour is the effect of decision procedures that are unable to discr…
The Applicability of Mathematics
In this article, I argue that mapping-based accounts of applications cannot be comprehensive and must be supplemented by analyses of other, qualitatively different, forms of application. I support these claims by providing a detailed discussion of the application of mathematics to a problem of election design that is prominent in social choice theory
Arrow’s theorem and theory choice
Mathematical problem-solving in scientific practice
In this paper I study the activity of mathematical problem-solving in scientific practice, focussing on enquiries in mathematical social science. I identify three salient phases of mathematical problem-solving and adopt them as a reference frame to investigate aspects of applications that have not yet received extensive attention in the philosophical literature
Eulerian Routing in Practice
The Königsberg bridge problem has played a central role in recent philosophical discussions of mathematical explanation. In this paper I look at it from a novel perspective, which is independent of explanatory concerns. Instead of restricting attention to the solved Königsberg bridge problem, I consider Euler’s construction of a solution method for the problem and discuss two later integrations of Euler’s approach into a more structured methodolo…
Measurement theory in the context of scientific enquiry
The body of work on mathematical models of measurement known as ‘measurement theory’ is not yet adequately understood from a philosophical standpoint. Recent evaluations of measurement theory (in this paper I focus on Heilmann (Philosophy of Science 82:787–797, 2015); Philippi (Philosophy of Science 88:929-939, 2021); Tal (Perspectives on Science 29:701–741, 2021)) have dislocated it from the context of scientific enquiry, making it harder to app…
Epistemology (7 works) · Philosophy (7 works) · Computer Science (5 works) · Mathematics (5 works) · Philosophy and History of Science (5 works) · Mathematical practice (3 works) · Metaphysics (3 works) · Philosophy and Theoretical Science (3 works) · Philosophy of language (3 works) · Philosophy of science (3 works)