Search
Search Results
-
Structure and applied mathematics
‘Map** accounts’ of applied mathematics hold that the application of mathematics in physical science is best understood in terms of ‘map**s’...
-
Purifying applied mathematics and applying pure mathematics: how a late Wittgensteinian perspective sheds light onto the dichotomy
In this work we argue that there is no strong demarcation between pure and applied mathematics. We show this first by stressing non-deductive...
-
Applied versus situated mathematics in ancient Egypt: bridging the gap between theory and practice
This historiographical study aims at introducing the category of “situated mathematics” to the case of Ancient Egypt. However, unlike Situated...
-
Relocating mathematics: a case of moving texts between the front and back of mathematics
As mathematics departments in the United States began to shift toward standards of original research at the end of the nineteenth century, many...
-
How Do You Apply Mathematics?
As far as disputes in the philosophy of pure mathematics goes, these are usually between classical mathematics, intuitionist mathematics,...
-
-
Critical Math Kinds: A Framework for the Philosophy of Alternative Mathematics
Mathematics, even more than the other sciences, is often presented as essentially unique, as if it could not be any other way. And yet, prima facie...
-
The negative theology of absolute infinity: Cantor, mathematics, and humility
Cantor argued that absolute infinity is beyond mathematical comprehension. His arguments imply that the domain of mathematics cannot be grasped by...
-
The Ethical Charge of Articulating Mathematics
Making mathematical statements and justifying them depend on a choice of mathematical framework(s). Such choice, this paper argues, depends on social...
-
Can Non-classical Logic Treat Mathematics as Exceptional?
The paper criticizes a ‘lazy’ strategy popular amongst contemporary advocates of non-classical logic motivated by non-mathematical phenomena (e.g....
-
Physicalism Without the Idols of Mathematics
I will argue that the ontological doctrine of physicalism inevitably entails the denial that there is anything conceptual in logic and mathematics....
-
Mathematical Naturalism and Revisionism About Mathematics
Anti-revisionism, according to which any revision to a practice should come autonomously from within the practice itself, is a key component of all...
-
The Practice of Mathematics: Cognitive Resources and Conceptual Content
In the past 10 years, contemporary philosophy of mathematics has seen the development of a trend that conceives mathematics as first and foremost a...
-
Mathematics Is a Mixed Bag
Mathematics is a mixed bag—a bit generous if we are speaking of whatever things have gone by the name of mathematics up to the present day. On the...
-
How to frame innovation in mathematics
We discuss conceptual change and progress within mathematics, in particular how tools, structural concepts and representations are transferred...
-
A Hippocratic Oath for Mathematicians? Map** the Landscape of Ethics in Mathematics
While the consequences of mathematically-based software, algorithms and strategies have become ever wider and better appreciated, ethical reflection...
-
Paul Cohen’s philosophy of mathematics and its reflection in his mathematical practice
This paper studies Paul Cohen’s philosophy of mathematics and mathematical practice as expressed in his writing on set-theoretic consistency proofs...
-
Should Type Theory Replace Set Theory as the Foundation of Mathematics?
Mathematicians often consider Zermelo-Fraenkel Set Theory with Choice (ZFC) as the only foundation of Mathematics, and frequently don’t actually want...
-
No Magic: From Phenomenology of Practice to Social Ontology of Mathematics
The paper shows how to use the Husserlian phenomenological method in contemporary philosophical approaches to mathematical practice and mathematical...
-
On the Epistemological Relevance of Social Power and Justice in Mathematics
In this paper we argue that questions about which mathematical ideas mathematicians are exposed to and choose to pay attention to are...