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Basic Model Theory

By (author) Kees Doets

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Model theory investigates the relationships between mathematical structures ('models') on the one hand and formal languages (in which statements about these structures can be formulated) on the other. Example structures are: the natural numbers with the usual arithmetical operations, the structures familiar from algebra, ordered sets, etc. The emphasis is on first-order languages, the model theory of which is best known. An example result is Loewenheim's theorem (the oldest in the field): a first-order sentence true of some uncountable structure must hold in some countable structure as well. Second-order languages and several of their fragments are dealt with as well. As the title indicates, this book introduces the reader to what is basic in model theory. A special feature is its use of the Ehrenfeucht game by which the reader is familiarised with the world of models.

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Helgoland: The Strange and Beautiful Story of Quantum Physics

Carlo Rovelli
Paperback / softback
208 pages
was: R 295.95
now: R 265.95
Available from overseas. Usually dispatched in 3 to 6 weeks

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The Coming Wave: AI, Power and Our Future

Mustafa Suleyman
Paperback / softback
352 pages
was: R 295.95
now: R 265.95
Stock is usually dispatched in 6-12 days from date of order

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The Order of Time

Carlo Rovelli
Paperback / softback
224 pages
was: R 295.95
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Originally published in Italian: L'ordine del tempo (Milan: Adelphi Edizioni, 2017).

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