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The most commonly discussed theoretical identity statements concern kinds.
Theoretical identity statements are of interest across the gamut of philosophy.
And again, the rigidity of designators in a true theoretical identity statement is sufficient for the statement's necessity.
By far, the most attention concerning theoretical identity statements has focused on the area of philosophy of mind.
The rigid designation of both designators flanking an identity sign in a true theoretical identity statement is sufficient to establish the necessity of the statement.
'Cicero = the organism descended from sperm s and egg e' shows that statements about individuals can, in effect, be theoretical identity statements.
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Kripke (1980), however, denies that his arguments concerning other theoretical identities apply here.
The type-identity theory, if true, might seem to motivate essentialism about psychological kinds, by analogy with other theoretical identities (cf. Section 1.3.1 and Section 3.3).
Kripke regards theoretical identities such as 'water = H2O', where one of the terms is a description, as instances of such a posteriori necessary identities.
Several of Kripke's exemplary cases concern theoretical identities; these are typically identities of the form C = T, expressed using a common name for a kind, 'C', and a technical identification of the kind, 'typicallyally thereby telling us what that kind is.
Furthermore, when we consider theoretical identities, such as 'water is H2O' and 'gold is the element with atomic number 79' etc., it appears that we are being given a special kind of necessary truth, a truth that it necessary because it specifies the essence of a kind.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com