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Ontological Maths

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  • ted.wrinch
    It s interesting to see that another disputation has started up on WC, between Roger and a newcomer, an affiliate of Waldorf, looking for free-thinkers to help
    Message 1 of 1 , Jan 14, 2012
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      It's interesting to see that another disputation has started up on WC, between Roger and a newcomer, an affiliate of Waldorf, looking for free-thinkers to help s/he gain an objective perspective (s/he has come to the *wrong* place!). They are currently discussing the ontological status of maths; neither side has much idea. The newcomer has expressed the opinion that maths is 'divorced from reality and therefore taken on authority'. This is the opposite of the truth: its relation to 'reality' is complex; its results are are created by the use of logical rules, understood within the mind, and are not taken on authority. He continues to elucidate that a triangle 'by definition contains 180 degrees'. This is not true either; a triangle is 'by definition' a closed form containing 3 angles. That it contains 180 degrees is a logical consequence of this conception. Roger's understanding of maths appears to be that its laws are inducted from the external, phenomenal world. This isn't (entirely) true either: there is no right-angled triangle in the outside world, to which the law of Pythagoras applies.

      It will be interesting to see where this goes!

      T.

      Ted Wrinch
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