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26 de out. de 2023 · Cambridge Core - Philosophy of Science - Philosophy of Mathematics. The twentieth century has witnessed an unprecedented 'crisis in the foundations of mathematics', featuring a world-famous paradox (Russell's Paradox), a challenge to 'classical' mathematics from a world-famous mathematician (the 'mathematical intuitionism' of Brouwer), a new foundational school (Hilbert's Formalism), and the ...
21 de out. de 2014 · Philosophy of Arithmetic: Psychological and Logical Investigations—With Supplementary Texts from 1887–1901, by Edmund Husserl, English translation and introduction by Dallas Willard. Journal of the British Society for Phenomenology: Vol. 36, Music, the Other and Justice, pp. 97-99.
Plato supposes that the same applies to arithmetic, since it is the study of what may be called ‘perfect’ numbers. It was usual in his day to explain a number as ‘a plurality of units’, 3 and he supposes that these should be ‘perfect’ units, meaning by this that they are not divisible in any way and are in all respects perfectly equal to one another.
Hereby the difference between presentation and concept, between presenting and thinking, is blurred. Everything is shunted off into the subjective. But it is precisely because the boundary between the subjective. HUSSERL S 'PHILOSOPHY OF ARITHMETIC 325. and the objective is blurred, that conversely the subjective also acquires the appearance of ...
DR. E. HUSSERL'S PHILOSOPHY OF ARITHMETIC 9 an exceedingly effective logical power; whence, presumably, the absent mindedness of scholars. For example, let us suppose that in front of us there are sitting side by side a black and a white cat. We disregard their colour: they become colorless but are still sitting side by side.
Poincaré’s philosophy of pure mathematics, is in fact dominated by the attempt to defend mathematical intuition. This takes various forms throughout his career, but perhaps the most important example is his defense of some version of Kant’s theory of intuition in arithmetic, in opposition to the logicist program.
19 de jul. de 2013 · Kant’s philosophy of mathematics is of interest to a variety of scholars for multiple reasons. First, his thoughts on mathematics are a crucial and central component of his critical philosophical system, and so they are illuminating to the historian of philosophy working on any aspect of Kant’s corpus. Additionally, issues of contemporary ...
