Monthly Archives: October 2011

Addendum to Natural Topology on Hawk-Eye

In Natural Topology the line-calling decision-support system Hawk-Eye (which is used in professional tennis) is discussed. It is shown that an algorithm which only yields IN and OUT must lead to a bias in results, since there is no surjective … Continue reading

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Addendum to Natural Topology regarding functions

In the appendix, I omitted to include the definition of `function´ in section A.4 Constructive concepts and axioms used. The reason is that we use the standard classical definition: Having taken the notion of `set´ and `subset´ as primitive, we … Continue reading

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Some minor errata in `Natural Topology’

(17 oct 2012: this post is obsolete since the second edition of `Natural Topology’ is now available) I will use this post to list minor errata in the book `Natural Topology’ (see previous post), which of course only leap to … Continue reading

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Addendum to ‘Natural Topology’

(17 oct 2012: this post is obsolete since the second edition is now available from the same link below) Recently published online, the book ‘Natural Topology’ finishes a project which Wim Couwenberg and I started already in 2004. See also … Continue reading

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Pondering infinity and finiteness in physics and math

The longer I think about it, the less I am convinced that infinity and/or finiteness is a done deal. In fact, the longer I think about it, the more urgent it seems to me that science starts to fully acknowledge … Continue reading

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