{"product_id":"proofs","title":"Proofs","description":"\u003cp\u003eThere are statements that have not, and perhaps cannot, be proved. Data can be displayed, and patterns can be anticipated, but a proof requires a logical process.\u003c\/p\u003e\n\n\u003cp\u003eStatistics can be used to establish a link between events, but often the reliability factor is established at only 95%. Accounting firms will retest a hypothesis using a larger sample if the initial hypothesis test fails. Even then two types of errors exist for each hypothesis: rejecting it by mistake, and incorrectly accepting it. It is similar to `reasonable doubt', although some will believe the statistical claims (at least until another study is released).\u003c\/p\u003e\n\n\u003cp\u003eAny statement can be proved false by one counter example. A correct example though, only illustrates there may be a possible proof.\u003c\/p\u003e\n\n\u003cp\u003eIn this book, you will explore common methods of mathematical proof using various topics. Consider it as a supplement to a text.\u003c\/p\u003e","brand":"John Prince","offers":[{"title":"Paperback","offer_id":44934034587809,"sku":"9781312064805","price":44.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0462\/1120\/3233\/files\/125ed7v4-front-shortedge-384_23b7ad0d-c0e4-486b-b61a-d4f03dbe0c6c.jpg?v=1748357167","url":"https:\/\/bookswholesale.myshopify.com\/products\/proofs","provider":"BooksWholesale","version":"1.0","type":"link"}