TY - JOUR
T1 - Logical consequence and first-order soundness and completeness
T2 - A bottom up approach
AU - Dresner, Eli
PY - 2011
Y1 - 2011
N2 - What is the philosophical significance of the soundnessand completeness theorems for first-order logic? In the first section of this paper I raise this question, which is closely tied to current debate over the nature of logical consequence. Following many contemporary authors' dissatisfaction with the view that these theorems ground deductive validity in model-theoretic validity, I turn to measurement theory asa source for an alternative view. For this purpose I presentin the second section several of the key ideas of measurement theory, and in the third and central section of the paper I use these ideas in an account of the relation between model theory, formal deduction, and our logical intuitions.
AB - What is the philosophical significance of the soundnessand completeness theorems for first-order logic? In the first section of this paper I raise this question, which is closely tied to current debate over the nature of logical consequence. Following many contemporary authors' dissatisfaction with the view that these theorems ground deductive validity in model-theoretic validity, I turn to measurement theory asa source for an alternative view. For this purpose I presentin the second section several of the key ideas of measurement theory, and in the third and central section of the paper I use these ideas in an account of the relation between model theory, formal deduction, and our logical intuitions.
KW - Completeness
KW - First-order logic
KW - Measurement theory
KW - Soundness
UR - http://www.scopus.com/inward/record.url?scp=79960152864&partnerID=8YFLogxK
U2 - 10.1215/00294527-2010-038
DO - 10.1215/00294527-2010-038
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AN - SCOPUS:79960152864
SN - 0029-4527
VL - 52
SP - 75
EP - 93
JO - Notre Dame Journal of Formal Logic
JF - Notre Dame Journal of Formal Logic
IS - 1
ER -