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Titlebook: Le?niewski‘s Systems of Logic and Foundations of Mathematics; Rafal Urbaniak Book 2014 Springer International Publishing Switzerland 2014

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發(fā)表于 2025-3-21 18:37:16 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Le?niewski‘s Systems of Logic and Foundations of Mathematics
編輯Rafal Urbaniak
視頻videohttp://file.papertrans.cn/586/585528/585528.mp4
概述Accessible introduction to Lesniewski‘s foundations of mathematics.Critical analysis covers Lesniewski’s philosophical views as well as his contributions to mathematical logic.Exclusive focus on prima
叢書名稱Trends in Logic
圖書封面Titlebook: Le?niewski‘s Systems of Logic and Foundations of Mathematics; Rafal Urbaniak Book 2014 Springer International Publishing Switzerland 2014
描述.This meticulous critical assessment of the ground-breaking work of philosopher Stanislaw? Le?niewski focuses exclusively on primary texts and explores the full range of output by one of the master logicians of the Lvov-Warsaw school. The author’s nuanced survey eschews secondary commentary, analyzing Le?niewski‘s core philosophical views and evaluating the formulations that were to have such a profound influence on the evolution of mathematical logic. ? .One of the undisputed leaders of the cohort of brilliant logicians that congregated in Poland in the early twentieth century, Le?niewski was a guide and mentor to a generation of celebrated analytical philosophers (Alfred Tarski was his PhD student). His primary achievement was a system of foundational mathematical logic intended as an alternative to the Principia Mathematica of Alfred North Whitehead and Bertrand Russell. Its three strands—‘protothetic’, ‘ontology’, and ‘mereology’, are detailed in discrete sectionsof this volume, alongside a wealth other chapters grouped to provide the fullest possible coverage of Le?niewski’s academic output. .With material on his early philosophical views, his contributions to set theory and h
出版日期Book 2014
關(guān)鍵詞Foundations of mathematics; History of logic; Lesniewski‘s Mereology; Lesniewski‘s Ontology; Lesniewski‘
版次1
doihttps://doi.org/10.1007/978-3-319-00482-2
isbn_softcover978-3-319-34416-4
isbn_ebook978-3-319-00482-2Series ISSN 1572-6126 Series E-ISSN 2212-7313
issn_series 1572-6126
copyrightSpringer International Publishing Switzerland 2014
The information of publication is updating

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Book 2014ands—‘protothetic’, ‘ontology’, and ‘mereology’, are detailed in discrete sectionsof this volume, alongside a wealth other chapters grouped to provide the fullest possible coverage of Le?niewski’s academic output. .With material on his early philosophical views, his contributions to set theory and h
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,Le?niewski’s Early Philosophical Views,postulates introduced to elucidate the meaning and role of certain natural language devices. Then I show how he used them to draw conclusions about existential propositions, the principle of contradiction, the principle of excluded middle, the eternity of truth and the existence of abstract objects.
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發(fā)表于 2025-3-23 01:29:56 | 只看該作者
,Le?niewski’s Protothetic,les representing various connectives or higher-order function variables. First, I describe the historical context of its development, discuss the crucial notion of semantic categories and explain Le?niewski’s original notation. The notation uses wheels and spokes to graphically represent connectives
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發(fā)表于 2025-3-23 08:07:37 | 只看該作者
,Le?niewski’s Ontology,re is no distinction between predicates and singular terms: there is only one class of name variables, and names can refer to any number of objects.) Then, I describe its language and its original axiomatization. I give some examples of definitions in Ontology to highlight the flexibility of its lan
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