Vrije Universiteit Brussel

Initiated at the end of the 18th century by Immanuel Kant, the father of modern philosophy of mathematics, constructivism has had a long and prosperous development, the common basis of its different types being that mathematical entities are creations of the human mind.

As the title indicates, the guest editors invite for this issue two types of contributions.

On the one hand – and probably best known in the community of philosophers of mathematics – we are thinking about the several varieties of constructivism in mathematics, that is versions of constructivism that aspire the status of a foundational theory rival to logicism or formalism. Thus we are thinking about the developments that were initiated by such mathematicians-philosophers such as Brouwer, Markov or Bishop.

On the other hand – and most likely less known to the same community – we also welcome contributions that deal with constructivist theories about mathematics as a research discipline. In general, we think of applications to mathematics of approaches adding to the traditional focus on the individual as diverse as cultural anthropology, social constructivism, systems theory, conventionalism, as well as views from cognitive science such as the embodied and the enactive approach.

A subtheme that is of great importance for the guest-editors is that “in” and “about” need not be and preferably should not be thought in oppositional terms, although unfortunately it is the standard today. Take an example such as deductive proof. Currently deductive proof is near to being universally accepted as a standard of valid mathematical knowledge, but as some philosophers and mathematicians have noticed deductive proof was at the same time the outcome of a contingent process, started and perfected by the Greeks, now considered to be the first major actual transformation in (the image of) mathematical knowledge.

If contributors somehow succeed to turn the non-productive opposition into a fruitful collaboration or cross-fertilization, such as in the example above, we would be particularly pleased.

Declaration of interest: 31 July 2011
**Deadline for full-text submissions: 31 October 2011**

Deadline Revised versions: 31 January 2011

Publication date: 15 March 2012

Articles should typically have a length of between 3000 and 9000 words. Please follow the Author’s Guidelines at http://www.univie.ac.at/constructivism/journal/guidelines/

For your convenience, a Word template is available at http://www.constructivistfoundations.info/guidelines/template.doc

Submissions and further inquires should be sent to both editors:

Jean Paul Van Bendegem <jpvbende/at/vub.ac.be>

Bart Van Kerkhove <bvkerkho/at/vub.ac.be>

Constructivist Foundations is a scholarly peer-reviewed e-journal concerned with the critical interdisciplinary study of constructivist approaches to science and philosophy. Among others, it is indexed in the ISI Arts & Humanities Citation Index and the Current Contents/Arts & Humanities, and has currently more than 3000 subscribers. For more information, please see its web page at http://www.constructivistfoundations.info