John Wigglesworth
Biographic Data
| ID | 1236966 |
|---|---|
| NAME | John Wigglesworth |
| GIVEN NAMES | John |
| FAMILY NAME | Wigglesworth |
| SIGNATURE | WIGGLESWORTH J |
| AFFILIATIONS | University of Vienna |
| ORCID | 0000-0002-7305-6844 |
| VERIFIED | Yes |
| TOTAL WORKS | 3 |
| TOTAL CITATIONS | 1 |
| AUTHOR COUNT | 3 |
| EDITOR COUNT | 0 |
| FIRST PUBLICATION YEAR | 2017 |
| LATEST PUBLICATION YEAR | 2023 |
| H-INDEX | 1 |
Structuralism and informal provability
Mathematical structuralism can be understood as a theory of mathematical ontology, of the objects that mathematics is about. It can also be understood as a theory of the semantics for mathematical discourse, of how and to what mathematical terms refer. In this paper we propose an epistemological interpretation of mathematical structuralism. According to this interpretation, the main epistemological claim is that mathematical knowledge is purely s…
The Structuralist Thesis Reconsidered
Øystein Linnebo and Richard Pettigrew ([2014]) have recently developed a version of non-eliminative mathematical structuralism based on Fregean abstraction principles. They argue that their theory of abstract structures proves a consistent version of the structuralist thesis that positions in abstract structures only have structural properties. They do this by defining a subset of the properties of positions in structures, so-called fundamental p…
The Boundary Stones of Thought
Debates over which logic is the correct logic, either generally or for a particular area of discourse, pose a distinctive problem. Any justification for a logical law should proceed via an argument, and that argument will likely appeal to the very logical law that is in question. The argument will then be circular, and most likely viciously so. Ian Rumfitt's The Boundary Stones of Thought shows how we can avoid this problem in order to rationally…
The Structuralist Thesis Reconsidered
Øystein Linnebo and Richard Pettigrew ([2014]) have recently developed a version of non-eliminative mathematical structuralism based on Fregean abstraction principles. They argue that their theory of abstract structures proves a consistent version of the structuralist thesis that positions in abstract structures only have structural properties. They do this by defining a subset of the properties of positions in structures, so-called fundamental p…
The Boundary Stones of Thought
Debates over which logic is the correct logic, either generally or for a particular area of discourse, pose a distinctive problem. Any justification for a logical law should proceed via an argument, and that argument will likely appeal to the very logical law that is in question. The argument will then be circular, and most likely viciously so. Ian Rumfitt's The Boundary Stones of Thought shows how we can avoid this problem in order to rationally…
The Structuralist Thesis Reconsidered
Øystein Linnebo and Richard Pettigrew ([2014]) have recently developed a version of non-eliminative mathematical structuralism based on Fregean abstraction principles. They argue that their theory of abstract structures proves a consistent version of the structuralist thesis that positions in abstract structures only have structural properties. They do this by defining a subset of the properties of positions in structures, so-called fundamental p…
Structuralism and informal provability
Mathematical structuralism can be understood as a theory of mathematical ontology, of the objects that mathematics is about. It can also be understood as a theory of the semantics for mathematical discourse, of how and to what mathematical terms refer. In this paper we propose an epistemological interpretation of mathematical structuralism. According to this interpretation, the main epistemological claim is that mathematical knowledge is purely s…
Epistemology (3 works) · Philosophy (3 works) · Computer Science (2 works) · Linguistics (2 works) · Philosophy and History of Science (2 works) · Philosophy and Theoretical Science (2 works) · Structuralism (philosophy of science) (2 works) · Abstraction (1 work) · Appeal (1 work) · Argument (complex analysis) (1 work)