Add to ORKGThis paper discusses ways in which Kant's characterization of natural number in the Critique of Pure Reason could be made precise. The proposal is that natural numbers are functional entities which are best expressed in first order logic augmented by the lambda calculus. In reaching this view, an analysis of Frege's views on natural number in Die Grundlagen der Arithmetik (The Foundations of Arithmetic) is provided
We note that a plural version of logicism about arithmetic is suggested by the standard reading of H...
The question of the applicability of mathematics is an epistemological issue that was explicitly rai...
It is widely assumed within developmental psychology that spontaneously-arising conceptualizations o...
Putnam suggests in the Dewey Lectures that the notion of correspondence between language and subject...
Frege discussed Mill’s empiricist ideas and Kant’s rationalist ideas about the nature of mathematics...
In this paper，we give the new complete solution of the definition of the concept of natural numbers ...
Includes bibliographical references.Natural numbers, although they pervade much of mathematics, are ...
independent of all of them, but only based upon logic. This conservative concept, however, needs to ...
International audienceA common view is that natural language treats numbers as abstract objects, wit...
The purpose of this thesis is to present an axiomatic foundation for the development of the natural ...
Taking as premises some intuitions about the essences of natural numbers, pluralities and sets, the ...
The Foundations of Arithmetic is undoubtedly the best introduction to Frege's thought; it is here th...
International audienceThe question of the applicability of mathematics is an epistemological issue t...
In this paper some remarks have been given on the definition of number. It is clear that Peano’s def...
The ontological status of mathematical objects is perhaps the most important un-solved problem in th...
We note that a plural version of logicism about arithmetic is suggested by the standard reading of H...
The question of the applicability of mathematics is an epistemological issue that was explicitly rai...
It is widely assumed within developmental psychology that spontaneously-arising conceptualizations o...
Putnam suggests in the Dewey Lectures that the notion of correspondence between language and subject...
Frege discussed Mill’s empiricist ideas and Kant’s rationalist ideas about the nature of mathematics...
In this paper，we give the new complete solution of the definition of the concept of natural numbers ...
Includes bibliographical references.Natural numbers, although they pervade much of mathematics, are ...
independent of all of them, but only based upon logic. This conservative concept, however, needs to ...
International audienceA common view is that natural language treats numbers as abstract objects, wit...
The purpose of this thesis is to present an axiomatic foundation for the development of the natural ...
Taking as premises some intuitions about the essences of natural numbers, pluralities and sets, the ...
The Foundations of Arithmetic is undoubtedly the best introduction to Frege's thought; it is here th...
International audienceThe question of the applicability of mathematics is an epistemological issue t...
In this paper some remarks have been given on the definition of number. It is clear that Peano’s def...
The ontological status of mathematical objects is perhaps the most important un-solved problem in th...
We note that a plural version of logicism about arithmetic is suggested by the standard reading of H...
The question of the applicability of mathematics is an epistemological issue that was explicitly rai...
It is widely assumed within developmental psychology that spontaneously-arising conceptualizations o...