{"product_id":"b0hftg9gr2","title":"Foundations of Infinity: Set Theory, Cardinals, Ordinals, and the Continuum Hypothesis","description":"\u003cp\u003eReactive Publishing Foundations of Infinity offers a rigorous yet accessible introduction to the mathematical study of infinity through the lens of modern set theory.\u003c\/p\u003e\n\n\u003cp\u003eBeginning with the axioms of Zermelo–Fraenkel set theory, the text develops the theory of ordinals and cardinals in careful detail. Readers will encounter the construction of the ordinal hierarchy, the arithmetic of infinite cardinals, and the fundamental distinction between countable and uncountable sets. The continuum hypothesis is examined both historically and formally: its formulation, independence from ZFC, and the broader implications of forcing and large-cardinal assumptions are presented with precision and clarity.\u003c\/p\u003e\n\n\u003cp\u003eThroughout, emphasis is placed on conceptual understanding supported by precise definitions, theorems, and carefully chosen examples. The book is designed for advanced undergraduates, graduate students, and mathematically mature readers seeking a self-contained treatment of the foundations of infinite mathematics.\u003c\/p\u003e\n\n\u003cp\u003eNo prior specialized knowledge of set theory is assumed beyond a solid background in undergraduate mathematics.\u003c\/p\u003e","brand":"ANT","offers":[{"title":"Ebook","offer_id":67933744103460,"sku":"YSL30743","price":6.59,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0805\/2614\/7620\/files\/71LiYL7eD1L._SY1500.jpg?v=1793244923","url":"https:\/\/booktavero.com\/products\/b0hftg9gr2","provider":"BookTavero","version":"1.0","type":"link"}