Unformatted text preview: ive and true identity statements? Equality gives rise to challenging questions which are not altogether easy to answer. Is it a relation? A relation between objects, or between names or signs of objects? ... Now if we were to regard equality as a relation between that which the names ‘a’ and ‘b’ designate, it would seem that a = b could not differ from a = a (i.e. provided a = b is true). A relation would thereby be expressed of a thing to itself, and indeed one in which each thing stands to itself but to no other thing. What is intended to be said by a = b seems to be that the signs or names ‘a’ and ‘b’ designate the same thing, so that those signs themselves would be under discussion; a relation between them would be asserted. But this relation would hold between the names or signs only in so far as they named or designated something. It would be mediated by the connexion of each of the two signs with the same designated thing. But this is arbitrary…. A difference can arise only if the difference between the signs corresponds to a difference in the mode of presentation of that which is designated…. The reference of ʹevening starʹ would be the same as that of ʹmorning star,ʹ but not the sense. 3. St. Ans...
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- Fall '10
- Professor Gary Mar, Advanced Symbolic Logic