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Eleven papers collected in the volume Philosophical Approaches to the Foundations of Logic and Mathematics address various aspects of the “roots”, basic concepts and the nature of logic and mathematics. Taken together, these papers reveal how many serious philosophical problems lie at the foundations of logic and mathematics. The topics discussed in this volume include: transcending anti-foundationalism and two concurrent trends of "anthropological" and "practical" understanding of the foundations of mathematics, new approaches to mathematical realism, the “roots” of logic in a genetic perspective, the primacy of truth or satisfaction, and the “effectiveness” of mathematics in terms of categorical semantics.
Ordinary language and scientific language enable us to speak about, in a singular way (using demonstratives and names), what we recognize not to exist: fictions, the contents of our hallucinations, abstract objects, and various idealized but nonexistent objects that our scientific theories are often couched in terms of. Indeed, references to such nonexistent items-especially in the case of the application of mathematics to the sciences-are indispensable. We cannot avoid talking about such things. Scientific and ordinary languages thus enable us to say things about Pegasus or about hallucinated objects that are true (or false), such as "Pegasus was believed by the ancient Greeks to be a flyin...
One of the core challenges in linguistics is elucidating compounds—their formation as well as the reasons their structure varies between languages. This book on Modern Greek rises to the challenge with a meticulous treatment of its diverse, intricate compounds, a study as grounded in theory as it is rich in data. Enhancing our knowledge of compounding and word-formation in general, its exceptional scope is a worthy model for linguists, particularly morphologists, and offers insights for students of syntax, phonology, dialectology and typology, among others. The author examines first-tier themes such as the order and relations of constituents, headedness, exocentricity, and theta-role saturation. She shows how Modern Greek compounding relates to derivation and inflection, and charts the boundaries between compounds and phrases. Exploring dialectically variant compounds, and identifying historical changes, the analysis extends to similarly formed compounds in wholly unrelated languages.
"This book exposes research accounts which seek to convey an appreciation for local differences, for the empowerment of people and for the human-centred design of urban technology"--Provided by publisher.
A lexically based, corpus-driven theoretical approach to meaning in language that distinguishes between patterns of normal use and creative exploitations of norms. In Lexical Analysis, Patrick Hanks offers a wide-ranging empirical investigation of word use and meaning in language. The book fills the need for a lexically based, corpus-driven theoretical approach that will help people understand how words go together in collocational patterns and constructions to make meanings. Such an approach is now possible, Hanks writes, because of the availability of new forms of evidence (corpora, the Internet) and the development of new methods of statistical analysis and inferencing. Hanks offers a new...
Leading scholars examine the history of linguistics from ancient origins to the present. They consider every aspect of the field from language origins to neurolinguistics, explore the linguistic traditions in different parts of the world, examine how work in linguistics has influenced other fields, and look at how it has been practically applied