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On Theories Having Three Countable Models
Author(s) -
Ikeda Koichiro,
Tsuboi Akito,
Pillay Anand
Publication year - 1998
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/malq.19980440203
Subject(s) - mathematics , countable set , mathematical economics , calculus (dental) , pure mathematics , medicine , dentistry
A theory T is called almost 0 ‐categorical if for any pure types p 1 ( x 1 ),…, p n (x n ) there are only finitely many pure types which extend p 1 ( x 1 ) ∪…∪ p n (x n ) . It is shown that if T is an almost 0 ‐categorical theory with I ( 0 , T ) = 3, then a dense linear ordering is interpretable in T .
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