https://philpapers.org/rec/LEIRAS-3
via https://mastodon.social/@dailyn...@zirk.us
I found this paper by Weinberg's post to Mastodon through the write up of
Leitbeg's projects here:
https://gepris.dfg.de/gepris/person/85399322?language=en
I didn't find any papers on scholar or philpapers talking directly about the
reference patterns of paradox through graph theory. But both his composition of
similarity and non-eliminative structuralism were graph heavy. Good stuff. I
have yet to read the ramsification paper. But, as usual, here's Claude's
summary of it:
- Classical semantics presupposes the existence of a unique factually determined intended interpretation of a language. However, there are reasons to doubt this presupposition holds in general, due to phenomena like vagueness, structuralism in mathematics, and theory change in science.
- The author proposes Ramsey semantics as an alternative that avoids presupposing a unique intended interpretation. Instead, it merely postulates the existence of an admissible interpretation from which truth is defined classically.
- Formally, Ramsey semantics replaces the intended interpretation I in classical
semantics with an epsilon term εF(F∈Adm) that "picks" an interpretation from
the class Adm of admissible interpretations. Truth is then defined relative to this
interpretation.
- Ramsey semantics preserves the key features of classical semantics - classical logic, a classical concept of truth, compositionality, bivalence, etc. But it allows the intended interpretation to be indeterminate when Adm contains more than one member.
- The author argues Ramsey semantics is closer to classical semantics than
supervaluationism while still allowing semantic indeterminacy. It provides
reasonable treatments of the Sorites paradox, higher-order vagueness, and
interpretational continuity between theories.
- Overall, Ramsey semantics aims to capture the advantages of classical
semantics while being less risky, by not presupposing semantic determinacy. It
shows how semantic indeterminacy can be reconciled with an otherwise classical
approach to meaning and truth.
--
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