Sentence examples for the identity statement from inspiring English sources
The identity statement is true because they have the same reference.
Thus the names do not have the same referents in the identity statement and the predications.
His classic example is the identity statement 'Hesperus = Phosphorus', which is true, but which was discovered a posteriori to be true.
If one makes the numerosity assertion first, then one can regard that as a justifying ground for the subsequent statement that the number of Fs is identical to 2. As Frege put it, the propositional content on the right-hand side has been 're-carved' as the identity statement on the left-hand side.
The nature of the structure is such that the identity statement "The building in which Smith is located is the building in which Jones is located" is neither true nor false because it is indeterminate whether Alpha Hall and Beta Hall count as two distinct buildings or merely as two parts of one and the same building.
Note that both terms in the identity-statement on the left-hand side are abstractive terms.
Moreover, it has been suggested that it offers a possible way to escape the explanatory gap: If some mental state just is some physical state, then there is nothing to be explained about how "these states" connect; it is a sheer misunderstanding to ask for more than just the identity-statement.
If just one side of the identity formula has an occurrence of a denotationless term, this identity statement is false.
Since 'Mark Twain' and Samuel Clemenss' pick out the same entity in every possible world where they pick out anything, this identity statement is a necessary truth.
In that case, the above identity statement (H) would have been false.
"If 'A' and 'B' refer to the same objects throughout (1), the first conjunct of (1) is not an identity statement, and the counterexample (to the thesis that no instance of RI is true) fails.
