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单词 model-theoretical
释义

model-theoreticaladj.

Brit. /ˌmɒdlθɪəˈrɛtɪkl/, U.S. /ˈˌmɑd(ə)lˌθiəˈrɛdɪk(ə)l/
Origin: Formed within English, by compounding. Etymons: model n., theoretical adj.
Etymology: < model n. + theoretical adj., after model theory n. (compare sense 1c). Compare slightly earlier model-theoretic adj.
Chiefly Mathematics and Logic.
= model-theoretic adj.
ΘΚΠ
the mind > mental capacity > philosophy > mathematical philosophy > [adjective] > of other theories or systems
finitist1904
incomplete1932
proof-theoretic1940
model-theoretic1956
model-theoretical1958
1958 Notices Amer. Math. Soc. 5 673 (heading) Some model-theoretical results concerning weak second-order logic.
1976 Jrnl. Symbolic Logic 41 59 Our proofs are stated in the more usual language of model theoretical forcing.
1995 Ann. Pure & Appl. Logic 73 53 This paper is part of a more general model theoretical study of strong normalization in type systems with a reduction relation.
2012 P. May & K. Ponto More Conc. Algebraic Topology xiv. 280 In the examples, it turns out that the classical notion of homotopy suffices to describe the model theoretical notion.

Derivatives

ˌmodel-theoˈretically adv.
ΘΚΠ
the mind > mental capacity > philosophy > mathematical philosophy > [adverb]
proof-theoretically1952
model-theoretically1960
1960 Jrnl. Symbolic Logic 25 139 Model-theoretically, this implies that C(σ*(X)) = σ*(C(X)).
1973 J. J. Zeman Modal Logic p. vi The systems are studied model-theoretically.
2012 T. Williamson Modal Logic as Metaphysics vii. 307 Thus the two theories are model—theoretically equivalent.
This entry has been updated (OED Third Edition, September 2002; most recently modified version published online March 2022).
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adj.1958
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