Gödel argued that intuition has an important role to play in mathematical epistemology, and despite the infamy of his own position, this opinion still has much to recommend it. Intuitions and folk platitudes play a central role in philosophical enquiry too, and have recently been elevated to a central position in one project for understanding philosophical methodology: the so-called 'Canberra plan'. This philosophical role for intuitions suggests an analogous epistemology for some fundamental parts of mathematics which casts a number of themes in recent philosophy of mathematics (concerning a priority and fictionalism, for example) in revealing new light.Citation: Eagle, A. (2008). 'Mathematics and conceptual analysis', Synthese 161 (1), 67...
Advances in modern mathematics indicate that progress in this field of knowledge depends mainly on c...
Abstract: In our description of Brouwer’s universe we have discussed a few basic principles which ha...
In basing the school curriculum on the view that some value can be attributed to knowledge most argu...
Gödel argued that intuition has an important role to play in mathematical epistemology, and despite ...
In this paper I offer an interpretation of the role of intuition in mathematical cognition in Kant’...
This paper discusses some of the issues surrounding the current notion of mathematical intuition and...
The mathematical developments of the 19th century seemed to undermine Kant’s philosophy. Non-Euclide...
This work gives a new argument for ‘Empirical Philosophy of Mathematical Practice’. It analyses diff...
Intuitionism derives philosophically from Kant\u27s Conceptualism -- the object of the mathematical ...
When the traditional distinction between a mathematical concept and a mathematical intuition is test...
The foundation of Mathematics is both a logico-formal issue and an epistemological one. By the firs...
According to a popular view mathematics progressively becomes more abstract and further detached fro...
La conception des mathématiques chez Poincaré est une pièce maîtresse de sa théorie de la connai...
When dealing with the relationship between mathematics and cognition, we face two main intellectual ...
In recent decades, intuitions' role in philosophy has been hotly debated. Many claim intuitions play...
Advances in modern mathematics indicate that progress in this field of knowledge depends mainly on c...
Abstract: In our description of Brouwer’s universe we have discussed a few basic principles which ha...
In basing the school curriculum on the view that some value can be attributed to knowledge most argu...
Gödel argued that intuition has an important role to play in mathematical epistemology, and despite ...
In this paper I offer an interpretation of the role of intuition in mathematical cognition in Kant’...
This paper discusses some of the issues surrounding the current notion of mathematical intuition and...
The mathematical developments of the 19th century seemed to undermine Kant’s philosophy. Non-Euclide...
This work gives a new argument for ‘Empirical Philosophy of Mathematical Practice’. It analyses diff...
Intuitionism derives philosophically from Kant\u27s Conceptualism -- the object of the mathematical ...
When the traditional distinction between a mathematical concept and a mathematical intuition is test...
The foundation of Mathematics is both a logico-formal issue and an epistemological one. By the firs...
According to a popular view mathematics progressively becomes more abstract and further detached fro...
La conception des mathématiques chez Poincaré est une pièce maîtresse de sa théorie de la connai...
When dealing with the relationship between mathematics and cognition, we face two main intellectual ...
In recent decades, intuitions' role in philosophy has been hotly debated. Many claim intuitions play...
Advances in modern mathematics indicate that progress in this field of knowledge depends mainly on c...
Abstract: In our description of Brouwer’s universe we have discussed a few basic principles which ha...
In basing the school curriculum on the view that some value can be attributed to knowledge most argu...