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标签：intuitionism

On My Research Plan for the Next Few Years—Coursework for Reading and Writing

Life & Notes2009.01.07
On My Research Plan for the Next Few Years—Coursework for Reading and Writing
In academic matters, I am not used to setting plans or goals for myself. That does not mean I am a person who drifts with the tide; on the contrary, at any given moment I have a clear understanding of the road beneath my feet, and I will decisively take the next step, but I am not attached to some distant goal that has not yet entered my field of vision. Up to now, the path of my growth, seen in detail, has seemed as though every step were natural and continuous, yet taken as a whole it appears unexpectedly—although looking back now one can hardly find any obvious break…
philosophy everyday life phenomenology Wu Guosheng
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2009年1月7日
A Tentative Discussion of Schopenhauer’s Spirit of Rationalism

History of Science & Scholarship2008.01.10
A Tentative Discussion of Schopenhauer’s Spirit of Rationalism
The epigraph to the first part of *The World as Will and Representation* quotes Rousseau: “Step out of childhood, my friend, awaken!” What did Schopenhauer want to express by this line? We might as well compare it with a fable he wrote late in life: “A mother, with the hope of educating and cultivating her children’s minds, lets them read Aesop’s fables; but they soon send the book back, and the eldest, precocious child says: this is not the sort of book we read; it is too childish, too silly; you cannot make us believe that foxes and wolves can talk, and we shall read nothing of the kind again!…
phenomenology Kant knowledge paper
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2008年1月10日
Later Wittgenstein and the Philosophy of Mathematics of Intuitionism

History of Science & Scholarship2007.05.15
Later Wittgenstein and the Philosophy of Mathematics of Intuitionism
Late Wittgenstein and the Mathematical Philosophy of Intuitionism Abstract: This essay takes intuitionism as its guiding thread to explicate Wittgenstein’s late philosophy of mathematics, with the hope that it may contribute to a grasp of his late philosophy; on the other hand, it also cites Wittgenstein’s philosophical claims to provide support for intuitionism. Thus, this essay attempts both to sort out the mathematical philosophy of Wittgenstein’s later period and, at the same time, to offer a brief critical account of intuitionism. The author discusses separately the views of intuitionism and of late Wittgenstein on themes such as constructivism, empiricism, positivism, Platonism, logicism, formalism, conventionalism, the axiomatization movement, and the development…
philosophy mathematics paper language
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2007年5月15日
In Defense of Intuitionism

History of Science & Scholarship2006.08.15
In Defense of Intuitionism
In Defense of Intuitionism Abstract: From the perspective of defending intuitionism, the author explains intuitionism’s claims in the philosophy of mathematics and the philosophy of logic. The basic position of intuitionism is that mathematics is a creation of the human mind. Intuitionism rejects assigning any mathematical object a transcendent existence beyond mind and matter; intuition and creation, rather than proof and deduction, are the most important mathematical methods, the life of mathematics; the meaning of mathematics, like that of the other sciences, lies in discovering problems worth studying, touching the mysteries of nature, and ceaselessly pursuing truth. In the first half of this essay, the author sorts out intuitionism’s resistance…
philosophy Aristotle mathematics paper
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2006年8月15日
Preliminary Thoughts on “Intuitionism”

Philosophy & Thought2006.08.07
Preliminary Thoughts on “Intuitionism”
My term paper for my class on logical paradoxes has now been decided: I’m going to write on intuitionism and the foundations of mathematics. At first I had been dead set on writing about inductive logic, and I read a lot of books, but the more I read, the fewer ideas of my own I seemed to have left; in the end they were almost completely buried. Writing an article that simply surveys the various schools of thought isn’t very interesting either, and I also seem unable to sort out any ideas of my own in such a short time, so in the end I had no choice but to…
philosophy mathematics Kant Poincaré
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2006年8月7日