Numerical Term Logic

by Szabolcsi, Lorne; Eglebretsen, George; Sommers, Fred

• ISBN13: 9780773450271
• ISBN10: 0773450270
• Format: Hardcover
• Copyright: 2008-10-16
• Publisher: Edwin Mellen Pr

Summary

This is an edited volume of the unpublished work of numerical logic pioneer, Lome Szabolcsi, who died suddenly at age 28.

Table of Contents

Introduction	p. 1
Numerical Term Logic	p. 11
Logical Notation	p. 11
Rudiments of the Notational Extension	p. 11
Non-exceptive Occurrences of "At least" and "Fewer than"	p. 16
Exact Quantification	p. 20
Comparatives	p. 22
Fractional Quantities	p. 24
Subjective Natural Language Quantifiers	p. 26
Inference in NTL	p. 32
Quantifier Transformation	p. 32
Guaranteed Reference	p. 35
Existential Implication	p. 39
Distribution	p. 42
Mediate Logical Inference: Quantifier Addition	p. 44
Algebraic Inference	p. 57
Further Developments in NTL	p. 67
The Plurivocality of "Some"	p. 67
"Only"	p. 68
"Most" vs. "The Majority"	p. 70
Wild Quantity	p. 72
Definite Descriptions	p. 74
Subalternation	p. 76
Other Systems of Intermediate Quantification	p. 81
Bruce Thompson	p. 82
Philip Peterson	p. 92
Wallace Murphree	p. 99
A Note on Generalized Quantifiers	p. 101
Conclusion	p. 103
Notes	p. 105
Bibliography	p. 115
Index	p. 117
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