Online research in philosophy

.  According to John Buridan, the time for which a statement is true is underdetermined by the grammatical form of the sentence – the intention of the speaker is required. As a consequence, truth-bearers are not sentence types, nor sentence tokens plus facts of the context of utterance, but statements. Statements are also the bearers of logical relations, since the latter can only be established among entities having determined truth-conditions. This role of the intention of the speaker in the determination of what is said by an utterance is not isolated in medieval semantics.

If we try to evaluate the sentence on line 1 we ¯nd ourselves going in an unending cycle. For this reason alone we may conclude that the sentence is not true. Moreover we are driven to this conclusion by an elementary argument: If the sentence is true then what it asserts is true, but what it asserts is that the sentence on line 1 is not true. Consequently the sentence on line 1 is not true. But when we write this true conclusion on line 2 we ¯nd ourselves repeating the very same sentence. It seems that we are unable to deny the truth of the sentence on line 1 without asserting it at the same time.

I argue here that Frege’s eventual view on the relation between sentences and the thoughts they express is that, ideally, a sentence expresses exactly one thought, and a thought is expressed by exactly one (canonical) sentence. This may clash with some mainstream views of Frege, for it has the consequence of de-emphasizing the philosophical significance of the question of how it is possible for someone to regard one sentence as true yet regard another sentence that expresses the same thought as false. This account of Frege was developed by taking a long-range look at his writings over the course of his life.

A Russellian theory of (definite) descriptions takes an utterance of the form ‘The F is G’ to express a purely general proposition that affirms the existence of a (contextually) unique F: there is exactly one F [which is C] and it is G. Strawson, by contrast, takes the utterer to presuppose in some sense that there is exactly one salient F, but this is not part of what is asserted; rather, when the presupposition is not met, the utterance simply fails to express a (true or false) proposition. A defender of Strawson’s approach, however, must square up to what appear to be straightforward counterexamples to the presupposition thesis, and must also provide an account of certain linguistic phenomena that supposedly demand treating descriptions as quantifiers, as the Russellian theory does. In this paper I propose fresh considerations in favour of Strawson’s approach. I shift attention from what the utterer presupposes to preconditions for the use of descriptions, and distinguish between referring and predicative uses of descriptions (not to be confused with referential and attributive uses); importantly, the referring and predicative uses have different preconditions, I argue, and these provide some satisfactory responses to the aforementioned challenges facing the Strawsonian.

Although Strawson’s main aim in “On Referring” was to argue that definite descriptions can be used referentially – that is, “to mention or refer to some individual person or single object . . . , in the course of doing what we should normally describe as making a statement about that person [or] object” (1950, p. 320) – he denied that definite descriptions are always used referentially. The description in ‘Napoleon was the greatest French soldier’ is not used referentially, says Strawson, since it is used not to mention an individual, but only “to say something about an individual already mentioned” (p. 320). This is an example of what we may call a predicative use of a definite description, though such uses might be better illustrated by considering the false sentence..

Although Strawson’s main aim in “On Referring” was to argue that definite descriptions can be used referentially – that is, “to mention or refer to some individual person or single object . . . , in the course of doing what we should normally describe as making a statement about that person [or] object” (1950, p. 320) – he denied that definite descriptions are always used referentially. The description in ‘Napoleon was the greatest French soldier’ is not used referentially, says Strawson, since it is used not to mention an individual, but only “to say something about an individual already mentioned” (p. 320). This is an example of what we may call a predicative use of a definite description, though such uses might be better illustrated by considering the false sentence..

Here is the liar paradox. We have a sentence, (L), which somehow says of itself that it is false. Suppose (L) is true. Then things are as (L) says they are. (For it would appear to be a mere platitude that if a sentence is true, then things are as the sentence says they are.) (L) says that (L) is false. So, (L) is false. Since the supposition that (L) is true leads to contradiction, we can assert that (L) is false. But since this is just what (L) says, (L) is then true. (For it would appear to be a mere platitude that if things are as a given sentence says they are, the sentence is true.) So (L) is true. So (L) is both true and false. Contradiction.

“To this day, partiality approaches to the paradox have been dogged by the so-called ‘Strengthened Liar’. .... The Strengthened Liar observes that if we follow a partiality theorist and declare the Liar sentence* neither true nor false (or failing to express a proposition,. or suffering from some sort of grave semantic defect), then the paradox is only pushed back. For we can go on to conclude that whatever this status may be, it implies that the Liar sentence is not true. This claim is true, but it is just the Liar sentence again.* We are back in paradox.” (Glanzberg 2002, p. 468, bold emphasis added.) Cf.: “We are back in our contradiction,”(Glanzberg 2001, p. 222). *The Liar sentence intended is evidently the sentence ‘the Liar sentence is not true’, and, the Liar sentence = ‘the Liar sentence is not true’. Cf.: “Consider a Liar sentence: ...let us take a sentence l which says l is not true. We can, informally, reason as..

Last year (2005) marked the 100th anniversary of the publication of Russell’s classic ‘On denoting’. It should not cast any shadow on that great work to note that the problems it provided solutions to are still the subject of controversy. Two of those problems involved noun phrases (NPs) which fail to denote. Russell’s examples (1a) and (1b) (1) a. The king of France is bald. b. The king of France is not bald. are puzzling because they have the form of simple contradictories, and yet we are not inclined to say either one is true. Example (2) (2) Pegasus does not exist. is even more problematic; the lack of denotation for Pegasus, which makes the sentence true, also seems to rob it of a meaningful constituent. Once the king of France is unpacked according to Russell’s analysis, (1b) is revealed to be ambiguous. It’s logical forms are given in (3). (3) a. ∃x[Kx ∧ ∀y[Ky ↔ y=x] ∧ ¬Bx] b. ¬∃x[Kx ∧ ∀y[Ky ↔ y=x] ∧ Bx] (3a) says that there is a unique (French) king who is not bald (obviously false), but (3b), the logical contradictory of (1a) says that it is not the case that there is a unique king who is bald (which is true). We can apply the analysis to sentence (2) once we recognize Pegasus as a concealed definite description, e.g. the winged horse of Greek mythology. (2) can then be unpacked as (4) (4) ¬∃x[Wx ∧ ∀y[Wy ↔ y=x]] which seems both meaningful and true, as required. Problems solved. Well, not quite. Strawson (1950) challenged the first solution above, arguing that neither (1a) nor (1b) could be used to assert the existence of a king of France. Rather, use of such sentences presupposes the existence of a king of France, and failing that existence, neither of (1a) or (1b) could be used to make either a true or a false statement – in Strawson’s words, “the question of whether it’s true or false simply doesn’t arise” (Strawson 1950, 330).1 In an extended series of essays, and one book, Jay Atlas (1977, 1978, 1979, 1989, 2004) has taken issue with the work of both Russell and Strawson..