Monday, September 26, 2005

Evans on Frege

Evans makes two major claims--
(A) Frege's theory is Russellian;
(B) Frege is inconsistent in attributing senses to empty singular terms.

A.

  1. Meaning, according to the later Frege, has two aspects: reference and sense.
  2. The meaning of a complex expression is a function of the meaning of its parts.
  3. The reference of a singular term is its referent; the reference of a
    sentence is its truth-value. So a truth value is a referent (and, for Frege, a sentence is a species of name).
  4. The sense of a singular term is the mode of presentation; the sense
    of a sentence is the thought it expresses: a mode of presentation of a truth value.
  5. A sentence expresses a thought only if the singular term it contains
    has a referent. (p.12) [Not sure who thinks this or why. Do you regard it as a consequence of (4) plus the general idea that there is no mode of presentation without an object presented? If so, the argument could proceed more swiftly.]
  6. A sentence has a truth-value only if it expresses a thought. (p.12)
  7. Hence, a sentence containing an empty singular term does not express
    a thought, and it has no truth-value either.
  8. That is, a sentence containing an empty singular term has neither a
    sense nor a reference; it is meaningless.
  9. 9. A theory of meaning is Russellian if it is a view that 'someone who
    uttered a sentence containing an empty singular term would fail to say
    anything, in the sense that he would fail to express a thought.' (p.12)

  10. Hence, Frege's theory of meaning is Russellian. [from 8,9]

    B.
  11. An empty singular term has a sense.
  12. The sense of a sentence is the thought it expresses.
  13. The sense of a sentence is a function from its parts.
  14. Hence, a sentence containing an empty singular term has a
    sense. [from 11,12,13]
  15. Hence, a sentence containing an empty singular term expresses a
    thought. [from 12, 14] [[15 contradicts 7]]
  16. A determinate thought has a truth-value. (p.24?) [Not sure where this comes from. As Frege says that a sentence containing an empty name expresses a thought but has no truth value, this seems an easy way to make Frege out to be inconsistent!]
  17. A sentence containing an empty singular term has a
    truth-value. [from 15, 16]
  18. A sentence containing an empty singular term has no truth-value.
    [from 7]

  19. Hence, Frege is inconsistent in attributing senses to empty
    singular terms. [[17 contradicts 18]]



Russellain: the view that someone who uttered a sentence containing an
empty singular term would fail to say anything, in the sense that he
would fail to express a thought. p.12

Russellain singular term: a singular term whose significance depends
upon its having a referent. p.12
Q:A singular term without a referent can still be significant-- it has
a sense.
A: An empty name with a sense is just inconsistent!

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