Journal of Symbolic Logic 71 (1):1 - 21 (2006)
|Abstract||We develop a new notion of independence (þ-independence, read "thorn"-independence) that arises from a family of ranks suggested by Scanlon (þ-ranks). We prove that in a large class of theories (including simple theories and o-minimal theories) this notion has many of the properties needed for an adequate geometric structure. We prove that þ-independence agrees with the usual independence notions in stable, supersimple and o-minimal theories. Furthermore, we give some evidence that the equivalence between forking and þ-forking in simple theories might be closely related to one of the main open conjectures in simplicity theory, the stable forking conjecture. In particular, we prove that in any simple theory where the stable forking conjecture holds. þ-independence and forking independence agree|
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
|Through your library||Configure|
Similar books and articles
Markus Junker & Ingo Kraus (2002). Theories with Equational Forking. Journal of Symbolic Logic 67 (1):326-340.
Assaf Peretz (2006). Geometry of Forking in Simple Theories. Journal of Symbolic Logic 71 (1):347 - 359.
Alfred Dolich (2004). Forking and Independence in o-Minimal Theories. Journal of Symbolic Logic 69 (1):215-240.
Itay Ben-Yaacov (2003). Discouraging Results for Ultraimaginary Independence Theory. Journal of Symbolic Logic 68 (3):846-850.
Byunghan Kim (2001). Simplicity, and Stability in There. Journal of Symbolic Logic 66 (2):822-836.
Patrick Toner (2011). Independence Accounts of Substance and Substantial Parts. Philosophical Studies 155 (1):37 - 43.
Hans Adler (2009). A Geometric Introduction to Forking and Thorn-Forking. Journal of Mathematical Logic 9 (01):1-20.
Douglas E. Ensley (1996). Automorphism-Invariant Measures on ℵ0-Categorical Structures Without the Independence Property. Journal of Symbolic Logic 61 (2):640 - 652.
Fabio G. Cozman (2012). Sets of Probability Distributions, Independence, and Convexity. Synthese 186 (2):577-600.
Miklos Redei (1995). Logical Independence in Quantum Logic. Foundations of Physics 25 (3):411-422.
Hans Adler (2009). Thorn-Forking as Local Forking. Journal of Mathematical Logic 9 (01):21-38.
Daniel Lascar & Anand Pillay (1999). Forking and Fundamental Order in Simple Theories. Journal of Symbolic Logic 64 (3):1155-1158.
Wolfgang Spohn (1994). On the Properties of Conditional Independence. In Paul Humphreys (ed.), Patrick Suppes, Scientific Philosopher Vol. 1: Probability and Probabilistic Causality. Kluwer.
Eric Jaligot, Alexey Muranov & Azadeh Neman (2008). Independence Property and Hyperbolic Groups. Bulletin of Symbolic Logic 14 (1):88 - 98.
Added to index2010-08-24
Total downloads6 ( #154,676 of 722,837 )
Recent downloads (6 months)1 ( #60,541 of 722,837 )
How can I increase my downloads?