Laurence Goldstein

(1947 - 2014)

The Russell class does not exist because the conditions purporting to specify that class are contradictory, and hence fail to specify any class. Equally, the conditions purporting to specify the Liar statement are contradictory and hence, although the Liar sentence is grammatically in order, it fails to yield a statement. Thus the common source of these and related paradoxes is contradictory (or tautologous) specifying conditions-for such conditions fail to specify. This is the diagnosis. The cure consists of seeking and destroying the deep-seated preconceptions that make almost irresistible our belief in the existence of items which provably do not exist

The general aim of this project is to fundamentally re-think the design of teaching materials in view of what is now known about cognitive deficits and about what Howard Gardner has termed ‘multiple intelligences’. The applicant has implemented this strategy in two distinct areas, the first involving the writing of an English language programme for Chinese speakers, the second involving the construction of specialized equipment for teaching elementary logic to blind students. The next phase is to test the effectiveness of the logic device, because in theory – the one to be tested – materials the design of which is informed by the above rationale will provide a richer learning experience for non-impaired users.

Wittgenstein discusses speakers exploiting context to inject meaning into the sentences that they use. One facet of situation comedy is context-injected ambiguity, where scriptwriters artfully construct situations such that, because of conflicting contextual clues, a character, though uttering a sentence that contains neither ambiguous words nor amphibolous contruction may plausibly be interpreted in at least two distinct ways. This highlights an important distinction between the (concise) sentence that a speaker uses and what the speaker means, the disclosure of which may require considerable spelling out. Understanding this phenomenon of nonindexical contextualism is the key to solving, inter alia , problems where, puzzlingly, exchanging a singular term in a statement with a co-referential one fails to preserve truth-value. This is a rare case where there is a huge debate in the recent literature that is decisively settled by Wittgenstein’s approach.

If nowadays categories seems to cover a multitude of different enquiries, we can see some continuity and coherence among them, and we can get some sense of what the subject is, by going back to the first treatise to receive the name, the Categories of Aristotle. The scheme of categories worked out by Aristotle in that book was used by him in subsequent works to solve a variety of problems. On one plausible hypothesis, Aristotle’s scheme was partly shaped by ontological considerations. However, one can construct categorial schemes that are free of ontological assumptions, and I call such schemes and the principles on which they are constructed “pure.” A purified Aristotelian scheme is one of a multiplicity of categorial schemes that can be generated by a sufficiently general pure categorial principle. In the penultimate section of this paper I consider a useful scheme, generated in this way, that categorizes the elements of our discourse about discourse. This links up with J. L. Austin’s discussion of the nature of illocutionary acts and throws light on the interconnections between such problematic notions as sentence, meaning, and proposition.

According to some commentators, Wittgenstein’s Tractatus is all one big joke: we plough through the text trying to extract the sense out of each spare and heroic proposition, only to be told at the end, that anyone who understands the author will realize that all of his propositions are nonsensical and so are not even propositions. The whole work is a kind of hoax; the readers are ridiculed, but, with luck, will eventually have to laugh when they come to recognize that what they had taken for deep philosophy was all so much gibberish. As a result of this revelation, they will be cured for ever of the urge to philosophize.