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As Sider (2006: §3) points out, the "set-like structure" of pluralities is crucial to the theoretical role of the plural quantifiers in standing in for sets (e.g., in the definition of the ancestral relation), interpreting second-order logic, and comparing the cardinalities of pluralities too big to form sets. 25.
First, he shows that every satisfiable formula has a connected model, i.e., a model based on a model structure (G, K, R) where for all H∈K, GR*H, where R* is the ancestral relation corresponding to R. Hence, only connected models need to be considered.
But sets are abstract entities, and the ancestral relation does not generally satisfy (P.4) (the singleton of the empty set, for instance, or the singleton of any urelement, would have only one proper part on the suggested construal of 'P').
These sequences were further analysed to study the domain organization and ancestral relation with their counterparts from other insects, like B. mori, T. castenum and D. melanogaster.
Admixture analysis was performed using the program STRUCTURE to identify the presence of diverse ancestral relation of the Pathan (PTN) genome with others [ 63].
Comparative cytogenetic and linkage maps between turkey and chicken showed conserved synteny and close ancestral relation among these species [ 2, 3] and support the hypothetical ancestral Galliform karyotype [ 11].
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But that is exactly what ancestral relations are like within the human species.
Phylogenetic trees, however, also include ancestral taxa and ancestral relations between taxa.
Cladograms can be used to generate hypotheses about possible ancestral relations that can be tested by other forms of evidence such as stratigraphical information (Skelton 1993 p. 541 542).
We use the standard evolutionary model, where the nucleotide substitution process at a given site is described by a continuous-time Markov chain and a phylogenetic tree describing the ancestral relations between extant taxa [58].
Comparative sequence analysis allows the identification of ancestral relations among genes, that is, homology.
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