The use of diagrams in logic and geometry has encountered resistence throughout the years. For a proof to be valid in geometry it must not rely on the graphical properties of a diagram. In logic the teaching of proofs depends on the sentenial representations, ideas formed as natural language sentences such as "if A is true and B is true...". No serious formal proof system is based on diagrams. This text explores the reasons why structured graphics have been ignored in modern formal theories of axiomatic systems. The effects ...
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The use of diagrams in logic and geometry has encountered resistence throughout the years. For a proof to be valid in geometry it must not rely on the graphical properties of a diagram. In logic the teaching of proofs depends on the sentenial representations, ideas formed as natural language sentences such as "if A is true and B is true...". No serious formal proof system is based on diagrams. This text explores the reasons why structured graphics have been ignored in modern formal theories of axiomatic systems. The effects of historical forces on the evolution of diagrammatically-based systems of inference in logic and geometry are explored, from antiquity to the early 20th-century work of David Hilbert. From this exploration emerges an understanding that the present negative attitudes towards the use of diagrams in logic and geometry owe more to implicit appeals to their history and philosophical background than to any technical incompatibility with modern theories of logical systems.
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Publisher:
Centre for the Study of Language & Information
Published:
2001
Language:
English
Alibris ID:
17924231823
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New. Lecture Notes . Intended for college/higher education audience. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
Publisher:
Centre for the Study of Language & Information
Published:
2001
Language:
English
Alibris ID:
17924938207
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New. This text explores the reasons why diagrams have been ignored in modern formal theories of axiomatic systems. By looking at the use of diagrams in logic and geometry it concludes that it is not technical incompatibility, but history and philosophy that restricts the use of diagrams in these fields. Series: Center for the Study of Language and Information Publication Lecture Notes. Num Pages: 250 pages, Ill. BIC Classification: HPL; PBB; PBM. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 229 x 152 x 12. Weight in Grams: 312. 2001. Paperback.....We ship daily from our Bookshop.
Publisher:
Centre for the Study of Language & Information
Published:
1/1/2001 12: 03: 00 AM
Language:
English
Alibris ID:
18093472866
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PLEASE NOTE, WE DO NOT SHIP TO DENMARK. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Please note we cannot offer an expedited shipping service from the UK.
Publisher:
Centre for the Study of Language & Information
Published:
1/1/2001 12: 03: 00 AM
Language:
English
Alibris ID:
18093506309
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Standard Shipping: $4.72
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PLEASE NOTE, WE DO NOT SHIP TO DENMARK. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Please note we cannot offer an expedited shipping service from the UK.
Publisher:
Centre for the Study of Language & Information
Published:
2001
Language:
English
Alibris ID:
17974061148
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New. Lecture Notes . Intended for college/higher education audience. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.