Kant held that under the concept of √2 falls a geometrical magnitude, but not a number. In particular, he explicitly distinguished this root from potentially infinite converging sequences of rationals. Like Kant, Brouwer based his foundations of mathematics on the a priori intuition of time, but unlike Kant, Brouwer did identify this root with a potentially infinite sequence. In this paper I discuss the systematical reasons why in Kant's philosophy this identification is impossible
Debates over Kant’s famous postulate about the existence of synthetic a priori judgements in mathema...
textIn the Critique of Pure Reason, Kant defends the mathematically deterministic world of physics b...
ABSTRACT: The number is the unity of the synthesis of the diverse of a homogeneous intuition, in tha...
Kant held that under the concept of √2 falls a geometrical magnitude, but not a number. In particula...
Arithmetical truths are a priori, but our understanding of them starts with the practical experience...
In the Critique of Pure Reason, Kant presents the Principle of Anticipations of Perception as follow...
Kant's antinomies are exercises designed to illustrate the limits of human reasoning. He skillfully ...
Kant's arithmetic theory is very important both in general mathematical philosophy and in the unders...
International audienceThe question of the applicability of mathematics is an epistemological issue t...
Kant and Descartes followed an extreme clever, secure way of reasoning. For them, there must be a wo...
The ontological status of mathematical objects is perhaps the most important un-solved problem in th...
The question of the applicability of mathematics is an epistemological issue that was explicitly rai...
Famously, Kant describes space and time as infinite “given” magnitudes. An influential interpretativ...
The remarkable modern speculations concerning non-Euclidean sorts of space, of which Prof. Helmhol...
Kant's account of space as an infinite given magnitude in the Critique of Pure Reason is paradoxical...
Debates over Kant’s famous postulate about the existence of synthetic a priori judgements in mathema...
textIn the Critique of Pure Reason, Kant defends the mathematically deterministic world of physics b...
ABSTRACT: The number is the unity of the synthesis of the diverse of a homogeneous intuition, in tha...
Kant held that under the concept of √2 falls a geometrical magnitude, but not a number. In particula...
Arithmetical truths are a priori, but our understanding of them starts with the practical experience...
In the Critique of Pure Reason, Kant presents the Principle of Anticipations of Perception as follow...
Kant's antinomies are exercises designed to illustrate the limits of human reasoning. He skillfully ...
Kant's arithmetic theory is very important both in general mathematical philosophy and in the unders...
International audienceThe question of the applicability of mathematics is an epistemological issue t...
Kant and Descartes followed an extreme clever, secure way of reasoning. For them, there must be a wo...
The ontological status of mathematical objects is perhaps the most important un-solved problem in th...
The question of the applicability of mathematics is an epistemological issue that was explicitly rai...
Famously, Kant describes space and time as infinite “given” magnitudes. An influential interpretativ...
The remarkable modern speculations concerning non-Euclidean sorts of space, of which Prof. Helmhol...
Kant's account of space as an infinite given magnitude in the Critique of Pure Reason is paradoxical...
Debates over Kant’s famous postulate about the existence of synthetic a priori judgements in mathema...
textIn the Critique of Pure Reason, Kant defends the mathematically deterministic world of physics b...
ABSTRACT: The number is the unity of the synthesis of the diverse of a homogeneous intuition, in tha...
View in ORKG
DOI