{"product_id":"evidence-for-dark-numbers-wolfgang-mzckenheim-9789999322188","title":"Evidence for Dark Numbers","description":"This book contains several arguments for the existence of dark numbers, i.e., numbers which cannot be manipulated as individuals but only collectively. Their existence depends on the premise of actual infinity. Whether actually infinite sets exist is unknown and cannot be proven; it can only be assumed as an axiom. But if actually infinite sets exist then dark elements are unavoidable. This concept helps to explain many paradoxes of set theory like Zeno's paradox or the paradox of the binary tree or the completely scattered space of the real axis.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Wolfgang Mückenheim\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 9999322182\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9789999322188\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Eliva Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 09\/11\/2024\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 44\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.16lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.00h x 6.00w x 0.09d","brand":"Wolfgang Mückenheim","offers":[{"title":"Paperback","offer_id":48437540552959,"sku":"9789999322188","price":49.5,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_b40ba56f-ae0f-41a4-9f91-0c4e96d52232.jpg?v=1777162515","url":"https:\/\/www.whiterainbookhouse.com\/products\/evidence-for-dark-numbers-wolfgang-mzckenheim-9789999322188","provider":"WR Book House","version":"1.0","type":"link"}