Abstract. The aim of this paper is to reconstruct Brouwer’s justification for the intuitionistic revision of logic and mathematics. It is attempted to show that pivotal premisses of his argument are supplied by his philosophy. To this end, the basic tenets of his philosophical doctrine are discussed: the concepts of mind, causal attention, intuition of two-ity and his repudiation of realism. The restriction of intuitionistically allowable objects to spreads and species is traced back to Brouwer’s concept of intuition that is a defining feature of his notion of mind. On the other hand, it is argued that his objections to some laws of classical logic result from the rejection of the rule of double negation elimination, which in turn follows f...
It is common knowledge that for a short while Hermann Weyl joined Brouwer in his pursuit of a revis...
It is common knowledge that for a short while Hermann Weyl joined Brouwer in his pursuit of a revis...
Thesis (Ph.D.) - Indiana University, Philosophy, 2013My dissertation concerns the proper foundation ...
The aim of this paper is to reconstruct Brouwer’s justification for the intuitionistic revision of l...
Intuitionistic logic, as a non-classical logic, encompasses the principles of logical reasoning whic...
Brouwer's contribution to the study of foundations of mathematics is generally cepted, yet the great...
This dissertation is about the initial period of Brouwer's role in the foundational debate in mathem...
The evolution of Brouwer's ideas on logic throughout his entire scientific life is practically unkno...
The evolution of Brouwer's ideas on logic throughout his entire scientific life is practically unkno...
International audienceThe ultimate justification of intuitionism lies in îts conception of truth. Th...
Brouwer's demonstration of his Bar Theorem gives rise to provocative questions regarding the proper ...
I argue that Brouwer’s general philosophy cannot account for itself, and, a fortiori, cannot lend j...
In 1957 I met professor Helena Rasiowa for the first time at the 1957 Constructivity Conference in A...
In the early twentieth century, the Dutch mathematician L.E.J. Brouwer launched a powerful attack on...
Abstract: In our description of Brouwer’s universe we have discussed a few basic principles which ha...
It is common knowledge that for a short while Hermann Weyl joined Brouwer in his pursuit of a revis...
It is common knowledge that for a short while Hermann Weyl joined Brouwer in his pursuit of a revis...
Thesis (Ph.D.) - Indiana University, Philosophy, 2013My dissertation concerns the proper foundation ...
The aim of this paper is to reconstruct Brouwer’s justification for the intuitionistic revision of l...
Intuitionistic logic, as a non-classical logic, encompasses the principles of logical reasoning whic...
Brouwer's contribution to the study of foundations of mathematics is generally cepted, yet the great...
This dissertation is about the initial period of Brouwer's role in the foundational debate in mathem...
The evolution of Brouwer's ideas on logic throughout his entire scientific life is practically unkno...
The evolution of Brouwer's ideas on logic throughout his entire scientific life is practically unkno...
International audienceThe ultimate justification of intuitionism lies in îts conception of truth. Th...
Brouwer's demonstration of his Bar Theorem gives rise to provocative questions regarding the proper ...
I argue that Brouwer’s general philosophy cannot account for itself, and, a fortiori, cannot lend j...
In 1957 I met professor Helena Rasiowa for the first time at the 1957 Constructivity Conference in A...
In the early twentieth century, the Dutch mathematician L.E.J. Brouwer launched a powerful attack on...
Abstract: In our description of Brouwer’s universe we have discussed a few basic principles which ha...
It is common knowledge that for a short while Hermann Weyl joined Brouwer in his pursuit of a revis...
It is common knowledge that for a short while Hermann Weyl joined Brouwer in his pursuit of a revis...
Thesis (Ph.D.) - Indiana University, Philosophy, 2013My dissertation concerns the proper foundation ...