This paper reviews the claims of several main-stream candidates to be the foundations of mathematics, including set theory. The review concludes that at this level of mathematical knowledge it would be very unreasonable to settle with any one of these foundations and that the only reasonable choice is a pluralist one
Pluralist mathematical realism, the view that there exists more than one mathematical universe, has ...
The modern development of Set Theory raises many questions with philosophical nature. Attempts to fi...
MethodologyA new hypothesis on the basic features characterizing the Foundations of Mathematics is s...
International audienceThis paper reviews the claims of several mainstream candidates to be the found...
Set-theoretic and category-theoretic foundations represent different perspectives on mathematical su...
In these three chapters I treat a variety of issues that surround the current state of set theory. T...
In this article, I survey some philosophical attitudes to talk concerning `the' universe of sets. I ...
The crisis in the foundations of mathematics is a conceptual crisis. I suggest that we embrace the c...
Set-theoretic pluralism is an increasingly influential position in the philosophy of set theory (Bal...
Recent years have seen a wealth of discussion on the topic of the foundations of mathematics, and th...
The dominant school of logic, semantics, and the foundation of mathematics construct its theories wi...
The article is the first part of a series of papers devoted to the problem of ontological reductions...
Pluralist mathematical realism, the view that there exists more than one mathematical universe, has ...
The modern development of Set Theory raises many questions with philosophical nature. Attempts to fi...
MethodologyA new hypothesis on the basic features characterizing the Foundations of Mathematics is s...
International audienceThis paper reviews the claims of several mainstream candidates to be the found...
Set-theoretic and category-theoretic foundations represent different perspectives on mathematical su...
In these three chapters I treat a variety of issues that surround the current state of set theory. T...
In this article, I survey some philosophical attitudes to talk concerning `the' universe of sets. I ...
The crisis in the foundations of mathematics is a conceptual crisis. I suggest that we embrace the c...
Set-theoretic pluralism is an increasingly influential position in the philosophy of set theory (Bal...
Recent years have seen a wealth of discussion on the topic of the foundations of mathematics, and th...
The dominant school of logic, semantics, and the foundation of mathematics construct its theories wi...
The article is the first part of a series of papers devoted to the problem of ontological reductions...
Pluralist mathematical realism, the view that there exists more than one mathematical universe, has ...
The modern development of Set Theory raises many questions with philosophical nature. Attempts to fi...
MethodologyA new hypothesis on the basic features characterizing the Foundations of Mathematics is s...