Author Topic: Schopenhauer's Philosophy of Mathematics  (Read 31996 times)

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Holden

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Re: Schopenhauer's Philosophy of Mathematics
« Reply #60 on: November 21, 2023, 12:56:33 am »
Holy Numbers
La Tristesse Durera Toujours                                  (The Sadness Lasts Forever ...)
-van Gogh.

There is but one truly serious philosophical problem and that is suicide.-Camus

Holden

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Re: Schopenhauer's Philosophy of Mathematics
« Reply #61 on: January 03, 2024, 12:15:41 pm »
Medieval mathematicians calculated areas of segments and sectors of circles. To do this they needed a table of arcs and chords. Although some of them defined the Sine of an arc in the standard way, they did not give a table of Sines, but one of chords, and in fact reproduced the Ptolemaic procedure for determining the chord of half an arc from that of the whole arc.
La Tristesse Durera Toujours                                  (The Sadness Lasts Forever ...)
-van Gogh.

There is but one truly serious philosophical problem and that is suicide.-Camus

Holden

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Re: Schopenhauer's Philosophy of Mathematics
« Reply #62 on: January 05, 2024, 12:31:28 pm »
The idea of representing distance as the area under the velocity curve goes back to Galileo.
La Tristesse Durera Toujours                                  (The Sadness Lasts Forever ...)
-van Gogh.

There is but one truly serious philosophical problem and that is suicide.-Camus

Holden

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Re: Schopenhauer's Philosophy of Mathematics
« Reply #63 on: January 06, 2024, 12:23:06 pm »
The permutations of a given order in a given number of elements are equal to that number formed by multiplying together the number of integers in their natural sequence equal to the given order and ending with the number of elements in the set.
La Tristesse Durera Toujours                                  (The Sadness Lasts Forever ...)
-van Gogh.

There is but one truly serious philosophical problem and that is suicide.-Camus

Holden

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Re: Schopenhauer's Philosophy of Mathematics
« Reply #64 on: January 07, 2024, 11:27:26 am »
The ideal is a Euclidean model, with definitions,axioms,postulates, propositions,and careful proofs.
La Tristesse Durera Toujours                                  (The Sadness Lasts Forever ...)
-van Gogh.

There is but one truly serious philosophical problem and that is suicide.-Camus