Silvia De Toffoli
Biographic Data
| ID | 1308046 |
|---|---|
| NAME | Silvia De Toffoli |
| GIVEN NAMES | Silvia |
| FAMILY NAME | De Toffoli |
| SIGNATURE | DE TOFFOLI S |
| AFFILIATIONS | Princeton University |
| ORCID | 0000-0003-0495-6977 |
| VERIFIED | Yes |
| TOTAL WORKS | 7 |
| TOTAL CITATIONS | 8 |
| AUTHOR COUNT | 7 |
| EDITOR COUNT | 0 |
| FIRST PUBLICATION YEAR | 2013 |
| LATEST PUBLICATION YEAR | 2022 |
| H-INDEX | 2 |
Objectivity and Rigor in Classical Italian Algebraic Geometry
The classification of algebraic surfaces by the Italian School of algebraic geometry is universally recognized as a breakthrough in 20th century mathematics. The methods by which it was achieved do not, however, meet the modern standard of rigor and therefore appear dubious from a contemporary viewpoint. In this article, we offer a glimpse into the mathematical practice of the three leading exponents of the Italian School of algebraic geometry: C…
What are mathematical diagrams
Reconciling Rigor and Intuition
Groundwork for a Fallibilist Account of Mathematics
According to the received view, genuine mathematical justification derives from proofs. In this article, I challenge this view. First, I sketch a notion of proof that cannot be reduced to deduction from the axioms but rather is tailored to human agents. Secondly, I identify a tension between the received view and mathematical practice. In some cases, cognitively diligent, well-functioning mathematicians go wrong. In these cases, it is plausible t…
Tools of Reason: The Practice of Scientific Diagramming from Antiquity to the Present
An Inquiry into the Practice of Proving in Low-Dimensional Topology
Forms and Roles of Diagrams in Knot Theory
Groundwork for a Fallibilist Account of Mathematics
According to the received view, genuine mathematical justification derives from proofs. In this article, I challenge this view. First, I sketch a notion of proof that cannot be reduced to deduction from the axioms but rather is tailored to human agents. Secondly, I identify a tension between the received view and mathematical practice. In some cases, cognitively diligent, well-functioning mathematicians go wrong. In these cases, it is plausible t…
Tools of Reason: The Practice of Scientific Diagramming from Antiquity to the Present
What are mathematical diagrams
Forms and Roles of Diagrams in Knot Theory
An Inquiry into the Practice of Proving in Low-Dimensional Topology
Tools of Reason: The Practice of Scientific Diagramming from Antiquity to the Present
Reconciling Rigor and Intuition
Groundwork for a Fallibilist Account of Mathematics
According to the received view, genuine mathematical justification derives from proofs. In this article, I challenge this view. First, I sketch a notion of proof that cannot be reduced to deduction from the axioms but rather is tailored to human agents. Secondly, I identify a tension between the received view and mathematical practice. In some cases, cognitively diligent, well-functioning mathematicians go wrong. In these cases, it is plausible t…
Objectivity and Rigor in Classical Italian Algebraic Geometry
The classification of algebraic surfaces by the Italian School of algebraic geometry is universally recognized as a breakthrough in 20th century mathematics. The methods by which it was achieved do not, however, meet the modern standard of rigor and therefore appear dubious from a contemporary viewpoint. In this article, we offer a glimpse into the mathematical practice of the three leading exponents of the Italian School of algebraic geometry: C…
What are mathematical diagrams
Epistemology (6 works) · Mathematics (6 works) · Philosophy (6 works) · Computer Science (5 works) · History and Theory of Mathematics (4 works) · Mathematics Education and Teaching Techniques (4 works) · Mathematical practice (3 works) · Mathematics and Applications (3 works) · Calculus (dental) (2 works) · Intuition (2 works)