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+1 " Without transitivity I fail to see how equality has retains its usual meaning. "
– J D
Commented Jun 29 at 17:33
While this is an interesting suggestion, it isn't relevant to the question, which is motivated by the inconsistent notion of an "arbitrary constant" that is equal to everything.
– David Gudeman
Commented Jun 29 at 17:34
@DavidGudeman ah, ok -- I think I got lost a bit there in the formalism.
– Annika
Commented Jun 29 at 17:47
1

@Annika You give an interesting example from biology. But it does not show that "equality" violates transitivity - of course not. It shows that the relation "mating with fertile offspring" violates transitivity. There are many similar, non-transitive relations, e.g., "is friend of" or "to be acquainted with so.".
– Jo Wehler
Commented Jun 29 at 17:53
5

I don't recommend putting any effort into understanding his post. From experience, I can tell you that such effort will not be rewarded. Still, this is a very good answer to a different question; it's a shame that it won't get you the upvotes you deserve.
– David Gudeman
Commented Jun 29 at 18:08

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