WellCookedFetus said:
homologies does not need to imply common ancestry, only similarity.
they absolutely do mean common ancestry in the context of evolutionary biology. absolutely no question about it. wherever you found that definition (i don't see a link BTW) it appears your definition is taken out of the context of evolutionary biology
or "by common descent" is implied in part 3 of the definition you provided. you would need to ask the author of the definition, however, you cannot argue what homology means in the context of evolutionary biology. it is crystal clear.
here's what homology means in the context in which we are using it in this thread;
"homology and analogy
Similarity due to Common Ancestry (homology) of trait (may inform us about control systems)
"Common ancestry is shared by two characters if in principle each can be shown to have evolved from the same character in a common ancestor." (Hailman p183)
Similarity due to Common functions (analogy) of trait. (generally attributed to parallel or convergent adaptation -- May inform us about ecological adaptiveness of trait)
An extreme example of analogy: The ripples on the skin of a fast moving porpoise and in the endothelial lining of a blood vessel -- both responses to comparable adaptive needs."
from
http://notes.utk.edu/bio/greenberg.nsf/0/9e1f62a13ea9da7c8525684100754aff?OpenDocument
AND
"homology -- Similarity in characteristics resulting from shared ancestry.
homologous structures -- Structures in different species that are similar because of common ancestry.
analogy -- The similarity of structure between two species that are not closely related; attributable to convergent evolution.
-- from the Glossary, Biology, N. Campbell"
from
http://web.grinnell.edu/individuals/brownj/edu/136_lab1.html
AND
"homology In this essay, since we are not assuming the truth of common descent, "homology" simply refers to similar structures, regardless of function. In evolutionary biology, structures are homologous only if they were derived from the same structure in a common ancestor. "Homology" in evolutionary practice is thus a hypothesis which can be tested, and which can garner various levels of evidential support (primarily taking into account all available phylogenetic evidence). Importantly, there exist multiple levels of homology in biology. What is evolutionarily homologous at one level may not be so at a lower level or at a higher level (Dickinson 1995). The causal chain in biology is discontinuous, including genes, genetic networks and pathways, cells, cell types, developmental pathways, organs, and organisms. Though each level is dependent upon the preceding level, functions at one level can be redundant (due to the stochastic and opportunistic nature of evolution), and thus functions are occasionally free to shift, resulting in uncoupling between levels of homology. This fact has caused some confusion in practice for the precise application and delineation of the homology concept. For example, the genes which control the development of eyes are homologous between vertebrates and invertebrates, yet the organs (the eyes themselves) are not (i.e. they evolved convergently into very different structures having somewhat similar functions). Also see parahomology, analogy, and convergence."
from
http://www.talkorigins.org/faqs/comdesc/glossary.html
i could probably provide another thousand references.