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Daisy
Daisy is on page 250 of 706
Brouwer rejected the idea that mathematics either could or needed to be grounded in logic. He further rejected the notion that consistency proofs were essential in mathematics. He also rejected the ‘objectivity’ of mathematics in the sense that it is usually understood – i.e. for Brouwer, there is no mind-independent mathematical reality about which mathematicians make discoveries.
Aug 09, 2026 03:32PM
Ludwig Wittgenstein: The Duty of Genius

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Daisy
Daisy is on page 361 of 706
Aug 11, 2026 09:56PM
Ludwig Wittgenstein: The Duty of Genius


Daisy
Daisy is on page 308 of 706
A morphology of magic rituals would,then,preserve what was deep about them, without either ridiculing or defending them. It would, in this way,have ‘the character of magic’. Similarly,Wittgenstein hoped,his new method of philosophy would preserve what was to be respected in the old metaphysical theories, and would itself have the character of metaphysics, without attempting the conjuring tricks of the Tractatus.
Aug 10, 2026 08:28PM
Ludwig Wittgenstein: The Duty of Genius


Daisy
Daisy is on page 259 of 706
There is nothing more pleasant to me than when someone takes my thoughts out of my mouth, and then, so to speak, spreads them out in the open.

'I don't like taking walks through the fields of science alone', he added.
Aug 09, 2026 04:06PM
Ludwig Wittgenstein: The Duty of Genius


Daisy
Daisy is on page 240 of 706
Even in music, the art for which Wittgenstein had the greatest feeling,he showed above all a great understanding, rather than manifesting ‘wild life striving to erupt into the open’.When he played music with others, as he did frequently during this time in Vienna, his interest was in getting it right,in using his acutely sensitive ear to impose upon his fellow musicians an extraordinary exactitude of expression.
Aug 09, 2026 12:30PM
Ludwig Wittgenstein: The Duty of Genius


Daisy
Daisy is on page 234 of 706
Jul 23, 2026 10:19AM
Ludwig Wittgenstein: The Duty of Genius


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Daisy The mathematician, on Brouwer’s view, is not a discoverer but a creator: mathematics is not a body of facts but a construction of the human mind. With all these points Wittgenstein was in agreement, and his later work can be seen as a development of these thoughts into an area that took him far away from the logical atomism of the Tractatus. If this development brought him no nearer to intuitionism, it perhaps helped to crystallize his many disagreements, in general and in detail, with the logicist approach to mathematics propounded by Russell and Ramsey – an approach which had guided, even if it had not dictated, the view he had expounded in the Tractatus.


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