Naive Truth and Restricted Quantification: Saving Truth a whole lot Better
نویسنده
چکیده
Restricted quanti cation poses a serious and under-appreciated challenge for non-classical approaches to both vagueness and the semantic paradoxes. It is tempting to explain All A are B as For all x, if x is A then x is B ; but in the non-classical logics typically used in dealing with vagueness and the semantic paradoxes (even those where 'if ... then' is a special conditional not de nable in terms of negation and disjunction or conjunction), this de nition of restricted quanti cation fails to deliver important principles of restricted quanti cation that we'd expect. If we're going to use a non-classical logic, we need one that handles restricted quanti cation better. The challenge is especially acute for naive theories of truth roughly, theories that take True(〈A〉) to be intersubstitutable with A, even when A is a paradoxical sentence such as a Liar-sentence. A naive truth theory inevitably involves a somewhat non-classical logic; the challenge is to get a logic that's compatible with naive truth and also validates intuitively obvious claims involving restricted quanti cation (for instance, If S is a truth stated by Jones, and every truth stated by Jones was also stated by Smith, then S is a truth stated by Smith ). No extant naive truth theory even comes close to meeting this challenge, including the theory I put forth in Saving Truth from Paradox. After reviewing the motivations for naive truth, and elaborating on some of the problems posed by restricted quanti cation, I will show how to do better. (I take the resulting logic to be appropriate for vagueness too, though that goes beyond the present paper.) In showing that the resulting logic is adequate to naive truth, I will employ a somewhat novel xed point construction that may prove useful in other
منابع مشابه
A Resolution Calculus for Presuppositions
The semantics of everyday language and the semantics of its naive translation into classical first-order language considerably differ. An important discrepancy that is addressed in this paper is about the implicit assumption what exists. For instance, in the case of universal quantification natural language uses restrictions and presupposes that these restrictions are non-empty, while in classi...
متن کاملTruth in the Context of Christian Faith and its Relation to Other Religions
In the following reflections on the understanding of truth in regard to Christian faith (or even in regard to religious faith, experience, and language in general), I advocate a relational interpretation of truth. Truth in that sense is understood not primarily as an intellectual assertion but as a qualification of a dynamic, existential, personal relation. Truth is the trustworthiness of that ...
متن کاملRestriction by Noncontraction
This paper investigates how naive theories of truth fare with respect to a set of extremely plausible principles of restricted quantification. It is first shown that both nonsubstructural theories as well as certain substructural theories cannot validate all those principles. Then, pursuing further an approach to the semantic paradoxes that the author has defended elsewhere, the theory of restr...
متن کاملThis Is My (Post) Truth, Tell Me Yours; Comment on “The Rise of Post-truth Populism in Pluralist Liberal Democracies: Challenges for Health Policy”
This is a commentary on the article ‘The rise of post-truth populism in pluralist liberal democracies: challenges for health policy.’ It critically examines two of its key concepts: populism and ‘post truth.’ This commentary argues that there are different types of populism, with unclear links to impacts, and that in some ways, ‘post-truth’ has resonances with arguments advanced in the period a...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Rew. Symb. Logic
دوره 7 شماره
صفحات -
تاریخ انتشار 2014