search for books and compare prices
cover image
Logical Thinking in the Pyramidal Schema of Concepts: The Logical and Mathematical Elements
Price
Store
Arrives
Preparing
Shipping
The price is the lowest for any condition, which may be new or used; other conditions may also be available. Rental copies must be returned at the end of the designated period, and may involve a deposit.
Jump down to see edition details for: Hardcover | Paperback
Bibliographic Detail
Publisher Springer Verlag
Publication date November 29, 2012
Pages 154
Binding Hardcover
Book category Adult Non-Fiction
ISBN-13 9789400753006
ISBN-10 9400753004
Dimensions 0.75 by 6.50 by 9 in.
Published in Europe
Original list price $159.00
Summaries and Reviews
Amazon.com description: Product Description:

This new volume on logic follows a recognizable format that deals in turn with the topics of mathematical logic, moving from concepts, via definitions and inferences, to theories and axioms. However, this fresh work offers a key innovation in its ‘pyramidal’ graph system for the logical formalization of all these items. The author has developed this new methodology on the basis of original research, traditional logical instruments such as Porphyrian trees, and modern concepts of classification, in which pyramids are the central organizing concept. The pyramidal schema enables both the content of concepts and the relations between the concept positions in the pyramid to be read off from the graph. Logical connectors are analyzed in terms of the direction in which they connect within the pyramid.

Additionally, the author shows that logical connectors are of fundamentally different types: only one sort generates propositions with truth values, while the other yields conceptual  expressions or complex concepts. On this basis, strong arguments are developed against adopting the non-discriminating connector definitions implicit in Wittgensteinian truth-value tables. Special consideration is given to mathematical connectors so as to illuminate the formation of concepts in the natural sciences. To show what the pyramidal method can contribute to science, a pyramid of the number concepts prevalent in mathematics is constructed. The book also counters the logical dogma of ‘false’ contradictory propositions and sheds new light on the logical characteristics of probable propositions, as well as on syllogistic and other inferences.



Editions
Hardcover
Book cover for 9789400753006
 
The price comparison is for this edition
With Lutz Geldsetzer | from Springer Verlag (November 29, 2012)
9789400753006 | details & prices | 154 pages | 6.50 × 9.00 × 0.75 in. | 0.95 lbs | List price $159.00
About: This new volume on logic follows a recognizable format that deals in turn with the topics of mathematical logic, moving from concepts, via definitions and inferences, to theories and axioms.
Paperback
Book cover for 9789401784443
 
With Lutz Geldsetzer | from Springer Verlag (December 14, 2014)
9789401784443 | details & prices | List price $159.00
About: This new volume on logic follows a recognizable format that deals in turn with the topics of mathematical logic, moving from concepts, via definitions and inferences, to theories and axioms.

Pricing is shown for items sent to or within the U.S., excluding shipping and tax. Please consult the store to determine exact fees. No warranties are made express or implied about the accuracy, timeliness, merit, or value of the information provided. Information subject to change without notice. isbn.nu is not a bookseller, just an information source.