extensionality

For Grice, the admission that "intensionality seems to be imbedded in the very foundations of language" doesn't preclude "extensionality."

Post-Secular Conviviality 2008

In other words, fully unrestricted composition calls for extensionality, on pain of giving up both supplementation principles.

Wild Dreams Of Reality, 3 2009

Moreover, and independently, if ξ were just overlap, then (P. 13ξ) would be unacceptable for anyone unwilling to embrace mereological extensionality.

Wild Dreams Of Reality, 3 2009

For example, the extensionality theorem of EM, (27), says that composite things with the same proper parts are identical, but in the presence of indeterminacy this may call for qualifications.

Wild Dreams Of Reality, 3 2009

Concerning the necessity of mereological extensionality, i.e., the left-to-right conditional in the consequent of (27):

Wild Dreams Of Reality, 3 2009

(One philosopher who explicitly accepts extensionality but feels uneasy about scattered entities is Chisholm 1987.)

Wild Dreams Of Reality, 3 2009

However, it turns out that this is not generally the case unless one assumes extensionality.

Wild Dreams Of Reality, 3 2009

So it is not entirely surprising that as long as proper parthood is well behaved, as per (P. 4), extensionality might pop up like this in the presence of substantive composition principles.

Wild Dreams Of Reality, 3 2009

And since Lowe (1953) many authors have expressed discomfort with such entities regardless of extensionality.

Wild Dreams Of Reality, 3 2009

But their independent motivation also bears witness to the fact that controversies about the necessity of extensionality, and particularly about (28), stem from genuine and fundamental philosophical conundrums and cannot be assessed by appealing to our intuitions about the meaning of

Wild Dreams Of Reality, 3 2009