gesang finished reading The Dark Ground of Spirit by Sean J. McGrath
The Dark Ground of Spirit by Sean J. McGrath
Friedrich Wilhelm Joseph Schelling is widely regarded as one of the most difficult and influential of German philosophers. In this …
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Friedrich Wilhelm Joseph Schelling is widely regarded as one of the most difficult and influential of German philosophers. In this …
This immensely influential work of Edwin Arthur Burtt, who influenced Koyre, and thus Kuhn, and virtually all philosophy of sciences, has many merits, but it is, not merely as a truism, not without great deficiencies.
The crucial deficiency is that it is the origin of this absurd humanist scholarss and students' aversion to "the mathematical". It is as if the mathematization of the world led to a false metaphysics, while those who condemn this very mathematization knows virtually nothing about mathematics. For them mathematics, instead of a general science of structural form and their relations, is a science of quantity and figures.
Another deficiency is its naivety as to the proposed solutions. A commen-sense Aristotelian form of metaphysics is, if not directly called for, implicitly suggested. Burtt finished the book in 1925, and in 1926 the probabilistic interpretation of quantum mechanics was put forward, unfortunately for him, so while many …
This immensely influential work of Edwin Arthur Burtt, who influenced Koyre, and thus Kuhn, and virtually all philosophy of sciences, has many merits, but it is, not merely as a truism, not without great deficiencies.
The crucial deficiency is that it is the origin of this absurd humanist scholarss and students' aversion to "the mathematical". It is as if the mathematization of the world led to a false metaphysics, while those who condemn this very mathematization knows virtually nothing about mathematics. For them mathematics, instead of a general science of structural form and their relations, is a science of quantity and figures.
Another deficiency is its naivety as to the proposed solutions. A commen-sense Aristotelian form of metaphysics is, if not directly called for, implicitly suggested. Burtt finished the book in 1925, and in 1926 the probabilistic interpretation of quantum mechanics was put forward, unfortunately for him, so while many of his analyses and rejections to the Newtonian metaphysics is trenchant, valid and to the point, his proposed solutions are tremendously naive in hindsight. His critique of forms of "wild" idealism became quite unfounded, which is still unnoticed by many of his readers, especially those who do not continue the journey to engage with modern philosophy of sciences and tackle the real problems of metaphysics, but rather, being convinced by Burtt's rhetoric, becomes unrestrained in their frank ignorance.
The first and the concluding chapters are really worth reading, but the concluding chapter is for those with a critical mind who is responsible enough to force himself to learn modern science and contemporary mathematics before he participates in the stupid marches of those humanity scholars in their ignorance.
A panoramic survey of the vast spectrum of modern and contemporary mathematics and the new philosophical possibilities they suggest.
A …
Good insights, but, for those familiar with pragmaticism and category theory and various issues in foundation, proof theory, etc. the perspective isn't new. Some chapters are rather like introductions to works of seminal contemporary mathematicians with flowery language.
While the book is rather about what future philosophy of mathematics should do, a call to a re-orientation of philosophy of mathematics, it is the rediscovery of Albert Lautman and indication of his unique modern Platonistic metaphysics implicitly present is of pivotal importance, at least for me. The extreme structuralization in contemporary mathematics and its power of organization indicates a brand-new schema for a new version of Pythagoreanism and thus a new version of Platonism to be founded. This should be an ambitious and fruitful project.
Becomes repetitive and pointless when it goes to the end. Again, for those with enough background, an 50-pages essay should have been sufficient.
David Corfield provides a variety of innovative approaches to research in the philosophy of mathematics. His study ranges from an …
[The stakes of the mobile: Mathematics, physics, philosophy] directly confronts the fundamental problems of mathematical thought’s mobility, and of its …
Mathematicians tend to think of themselves as scientists investigating the features of real mathematical things, and the wildly successful application …
Indiscrete Thoughts gives a glimpse into a world that has seldom been described that of science and technology as seen …
Indiscrete Thoughts gives a glimpse into a world that has seldom been described that of science and technology as seen …
Mathematics as a Cultural System discusses the relationship between mathematics and culture. The book is comprised of eight chapters discussing …
Francastel in this book tries to construct a relay, a deep common ground, between the aesthetic and the technological. His methodology is roughly a sociological or even anthropological one. By means of anthropological analysis he tries to single out the concordance that supervenes the two - the aesthetic and the technological. However, his focus, his aim, is towards a much deeper level of confluence: a complete re-evaluation of the schema of categorization that generates the segragation between the aesthetic and the technological, between fine art and architecture and technology. Hence what he's actually trying to do is a:
[...] (metaphysical-theological restructuring) or in a complete reformulation of the categories which originated in, roughly speaking, the 12th centuries, e.g. in the work of St.Bonaventure (De Redcutione Artium ad Theologiam), that may possibly in a structural manner resolve the tension that maintains the cleavage [...]
Francastel in this book tries to construct a relay, a deep common ground, between the aesthetic and the technological. His methodology is roughly a sociological or even anthropological one. By means of anthropological analysis he tries to single out the concordance that supervenes the two - the aesthetic and the technological. However, his focus, his aim, is towards a much deeper level of confluence: a complete re-evaluation of the schema of categorization that generates the segragation between the aesthetic and the technological, between fine art and architecture and technology. Hence what he's actually trying to do is a:
[...] (metaphysical-theological restructuring) or in a complete reformulation of the categories which originated in, roughly speaking, the 12th centuries, e.g. in the work of St.Bonaventure (De Redcutione Artium ad Theologiam), that may possibly in a structural manner resolve the tension that maintains the cleavage [...]
(See (Preface to) an Intellectual Grasp of the Meaningfulness of Art)
His investigation is incomplete and only gives a faint idea of the direction that one should take in order to initiate an all-encompassing project, but a feeling, an intuition, should slowly emerge, as to a kind of future metaphysics that in its shapes takes the form of a sort of "structural regulation principle" that fully incorporates the pivotal role of human being that is coupled to the milieu and thenceforward generate the categorization schema.
On comprend ainsi l'originalité du projet scientifique que Francastel définit comme celui d'une "sociologie historique comparative". Il s'agit, très exactement, …
Albert Lautman (1908-1944) was a French philosopher of mathematics whose work played a crucial role in the history of contemporary …