J
from Blogosophy proposes that we use "in a manner of speaking" instead
of "accoring to the fiction" as a prefix for fictional statements. This, J
says, would also work for the problematic cases like "Sherlock Holmes
consumed drugs that are illegal nowadays". I'm afraid I don't quite
understand this operator. What are the truth conditions of "in a manner of
speaking, p"?
It is controversial whether indicative conditionals with false antecedents
are generally true. As far as I know, which really is not very far at all,
it is equally controversial whether counterfactual conditionals with
necessarily false antecedents are generelly true. What's interesting is
the different kinds of counterexamples that are brought forward against
these views. For indicatives, the counterexamples are indicative
conditionals with false antecedents that nevertheless appear to be false,
e.g. "if I put diesel in my coffee, the coffee tastes fine." For
counterfactuals however, the alleged counterexamples (brought forward e.g.
by Field in §7.2 of Realism, Mathematics & Modality, Katz in §5
of "What mathematical knowledge could be", and Rosen in §1 of "Modal
fictionalism fixed") are counterfactual conditionals with necessarily false
antecedents that appear to be true, e.g. "if the axiom of choice
were false, the cardinals wouldn't be linearly ordered". Isn't this quite
puzzling? How can the fact that some instances are true be a problem for
a theory that claims that all instances are true?
This is part 2 of my comments on Fiction and
Metaphysics.
Amie Thomasson argues that fictional objects are not as strange and special as
one might have thought because they belong to the same basic ontological
category as works of art, governments, chairs and other objects of everyday
life. Doing without fictional entities, she says, would merely be "false
parsimony" unless one can also do without other entities of this category.
I have three complaints.
Brian has made so many puzzling remarks about fictional characters being
real but abstract that I've decided to read Amie Thomasson's Fiction and
Metaphysics. Here is my little review.
Thomasson's theory, in a nutshell, is that the Sherlock Holmes stories
are not really about the adventures of a detective who lives at 221B Baker
Street, but rather about the adventures of a ghostly, invisible character
who lives at no place in particular and never does anything at all. We
don't find this written in the Sherlock Holmes stories because, according
to Thomasson's theory, Arthur Conan Doyle simply doesn't tell the truth
about Holmes. In fact the only thing he gets right is his name: That
ghostly character he is telling wildly false stories about is really called
"Sherlock Holmes".
Here comes the promised reply to Sam's
reply to my previous
posting. In that posting, I first suggested that some sentence S (in a
given language) is analytic iff you can't understand it unless you believe
it. Then I said that, "put slightly differently", S is analytic iff it is
impossible to believe that not-S.
As Sam notes, the first definition implies that even very complicated
analytic truths have to be believed in order to be understood, which might
be somewhat unintuitive. I'm not sure how bad this is for lack of a clear
example. Sam uses "the sum of the digits of the first prime number greater
than 1 million is even", but this is not analytic, so here I can perfectly
well admit that you may understand it without either believing or
disbelieving it. He also mentions infinitely long sentences, but I don't
believe there are any of those in ordinary languages.
Here at Humboldt University, there's a reading group about analytic
philosophy (Sam already mentioned it). The flyer
advertising this group describes analytic philosophy as a sort of new and
fascinating kind of philosophy characterised by its perspicuity and
ignorance of philosophical tradition. The funny thing is that the
organisers of the reading group decided that we'll be discussing David
Wiggins' Sameness and Substance Renewed. I don't want to know
how much Hegel one has to read to find Wiggins perspicuous (and
ignorant of philosophical tradition).
Some expression can't be properly understood unless one believes certain
things: In some sense you don't understand "irrational number" unless you
believe that no natural number is irrational; You don't understand "grandmother"
unless you believe that grandmothers are female; Maybe you don't understand
"cat" unless you believe that cats are animals.
This is all quite vague because "understanding" and "believing" are vague.
I now want to suggest that a sentence is analytic iff you can't understand
it unless you believe it. Analyticity is also vague, so the vagueness of
the explicans is fine for this purpose.
I've made some slides about logic programming (PS) for my presentation next week in the logic seminar.
The following restriction might be a way out of the problems I mentioned in
my last posting:
The gamma rule must not be applied if the result of its
previous application has not yet been replaced by the Closure rule.
(The gamma rule deals with
and ![neg](../logik/trees/neg.gif)
formulae; the Closure rule is the rule that allows to replace dummy
constants by real constants iff that leads to the closure of at least one
branch.)