Dirk Schlimm
Biographic Data
| ID | 1088720 |
|---|---|
| NAME | Dirk Schlimm |
| GIVEN NAMES | Dirk |
| FAMILY NAME | Schlimm |
| SIGNATURE | SCHLIMM D |
| AFFILIATIONS | McGill University |
| ORCID | 0000-0002-2476-2611 |
| VERIFIED | Yes |
| TOTAL WORKS | 11 |
| TOTAL CITATIONS | 20 |
| AUTHOR COUNT | 10 |
| EDITOR COUNT | 1 |
| FIRST PUBLICATION YEAR | 2005 |
| LATEST PUBLICATION YEAR | 2021 |
| H-INDEX | 3 |
Calculus as method or calculus as rules? Boole and Frege on the aims of a logical calculus
Babbage’s guidelines for the design of mathematical notations
Research in History and Philosophy of Mathematics: The CSHPM 2018 Volume
Extended mathematical cognition: External representations with non-derived content
Vehicle externalism maintains that the vehicles of our mental representations can be located outside of the head, that is, they need not be instantiated by neurons located inside the brain of the cogniser. But some disagree, insisting that 'non-derived', or 'original', content is the mark of the cognitive and that only biologically instantiated representational vehicles can have non-derived content, while the contents of all extra-neural represen…
History and philosophy of infinity: Selected papers from the conference “Foundations of the Formal Sciences VIII” held at Corpus Christi College, Cambridge, England, 20–23 September 2013
Methodological Reflections on Typologies for Numerical Notations
Argument Past and present societies world-wide have employed well over 100 distinct notational systems for representing natural numbers, some of which continue to play a crucial role in intellectual and cultural development today. The diversity of these notations has prompted the need for classificatory schemes, or typologies, to provide a systematic starting point for their discussion and appraisal. The present paper provides a general framework…
On the creative role of axiomatics. The discovery of lattices by Schröder, Dedekind, Birkhoff, and others
Learning from the existence of models: On psychic machines, tortoises, and computer simulations
Two Ways of Analogy: Extending the Study of Analogies to Mathematical Domains
The structure-mapping theory has become the de facto standard account of analogies in cognitive science and philosophy of science. In this paper I propose a distinction between two kinds of domains and I show how the account of analogies based on structure-preserving mappings fails in certain (object-rich) domains, which are very common in mathematics, and how the axiomatic approach to analogies, which is based on a common linguistic description …
Dedekind’s Analysis of Number: Systems and Axioms
Against Against Intuitionism
Extended mathematical cognition: External representations with non-derived content
Vehicle externalism maintains that the vehicles of our mental representations can be located outside of the head, that is, they need not be instantiated by neurons located inside the brain of the cogniser. But some disagree, insisting that 'non-derived', or 'original', content is the mark of the cognitive and that only biologically instantiated representational vehicles can have non-derived content, while the contents of all extra-neural represen…
On the creative role of axiomatics. The discovery of lattices by Schröder, Dedekind, Birkhoff, and others
Dedekind’s Analysis of Number: Systems and Axioms
Two Ways of Analogy: Extending the Study of Analogies to Mathematical Domains
The structure-mapping theory has become the de facto standard account of analogies in cognitive science and philosophy of science. In this paper I propose a distinction between two kinds of domains and I show how the account of analogies based on structure-preserving mappings fails in certain (object-rich) domains, which are very common in mathematics, and how the axiomatic approach to analogies, which is based on a common linguistic description …
Calculus as method or calculus as rules? Boole and Frege on the aims of a logical calculus
Learning from the existence of models: On psychic machines, tortoises, and computer simulations
Dedekind’s Analysis of Number: Systems and Axioms
Against Against Intuitionism
Two Ways of Analogy: Extending the Study of Analogies to Mathematical Domains
The structure-mapping theory has become the de facto standard account of analogies in cognitive science and philosophy of science. In this paper I propose a distinction between two kinds of domains and I show how the account of analogies based on structure-preserving mappings fails in certain (object-rich) domains, which are very common in mathematics, and how the axiomatic approach to analogies, which is based on a common linguistic description …
Learning from the existence of models: On psychic machines, tortoises, and computer simulations
On the creative role of axiomatics. The discovery of lattices by Schröder, Dedekind, Birkhoff, and others
Methodological Reflections on Typologies for Numerical Notations
Argument Past and present societies world-wide have employed well over 100 distinct notational systems for representing natural numbers, some of which continue to play a crucial role in intellectual and cultural development today. The diversity of these notations has prompted the need for classificatory schemes, or typologies, to provide a systematic starting point for their discussion and appraisal. The present paper provides a general framework…
History and philosophy of infinity: Selected papers from the conference “Foundations of the Formal Sciences VIII” held at Corpus Christi College, Cambridge, England, 20–23 September 2013
Research in History and Philosophy of Mathematics: The CSHPM 2018 Volume
Extended mathematical cognition: External representations with non-derived content
Vehicle externalism maintains that the vehicles of our mental representations can be located outside of the head, that is, they need not be instantiated by neurons located inside the brain of the cogniser. But some disagree, insisting that 'non-derived', or 'original', content is the mark of the cognitive and that only biologically instantiated representational vehicles can have non-derived content, while the contents of all extra-neural represen…
Calculus as method or calculus as rules? Boole and Frege on the aims of a logical calculus
Babbage’s guidelines for the design of mathematical notations
Philosophy (10 works) · Epistemology (9 works) · Mathematics (8 works) · Computer Science (7 works) · Philosophy of science (7 works) · Metaphysics (6 works) · Philosophy of language (6 works) · Artificial Intelligence (5 works) · Artificial Intelligence (4 works) · History and Theory of Mathematics (4 works)