• Publications
  • Influence
The Road to Modern Logic—An Interpretation
  • J. Ferreirós
  • Mathematics, Computer Science
  • Bulletin of Symbolic Logic
  • 1 December 2001
TLDR
We begin with an historical overview of landmarks along the road to modern logic, and proceed to a philosophical discussion casting doubt on the possibility of a purely rational justification of the actual delimitation of First-Order Logic. Expand
The Crisis in the Foundations of Mathematics
The foundational crisis is a celebrated affair among mathematicians and it has also reached a large nonmathematical audience. A well-trained mathematician is supposed to know something about theExpand
Hilbert, logicism, and mathematical existence
  • J. Ferreirós
  • Philosophy, Computer Science
  • Synthese
  • 1 September 2009
TLDR
David Hilbert’s early foundational views, especially those corresponding to the 1890s, are analysed here. Expand
Labyrinth of Thought
Mathematical Knowledge and the Interplay of Practices
The aim of this paper is to offer a brief presentation of the approach to the analysis of mathematical knowledge that I am developing in a forthcoming book entitled “Mathematical Knowledge and theExpand
Traditional logic and the early history of sets, 1854–1908
La theorie des ensembles emergea au XIX e siecle et fut la base des mathematiques. La notion d'ensemble est analysee a travers les travaux de Riemann (B.) et Dedekind (R.), en discutant le langage etExpand
On the relations between Georg Cantor and Richard Dedekind
This paper gives a detailed analysis of the scientific interaction between Cantor and Dedekind, which was a very important aspect in the history of set theory during the 19th century. A factor thatExpand
The Motives behind Cantor's Set Theory – Physical, Biological, and Philosophical Questions
The celebrated “creation” of transfinite set theory by Georg Cantor has been studied in detail by historians of mathematics. However, it has generally been overlooked that his research program cannotExpand
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