[Title] The Problem of Mixing Meta-Language with Object
Language in in Modal Systems
written by Lee Chang Hoo(
)
Chang Hoo Lee (2010), The Problem
of Mixing Meta-Language with Object Language in Modal Systems,
Chul Hak Sa Sang: Journal of Philosophical Ideas,
38: 269-302. Institute of Philosophy, Seoul
National University
<Abstract>
- Subject: Analytic philosophy, philosophy of logic.
- Key words: formal system. formal semantics, modal system,
construction of formal system.
- Abstract:
In this paper, I discuss “the problem of language-level
mixture”(PLLM) in modal semantics as follows: First, I
explain the problem in detail. I choose propositional
calculus and first-order logic, which are accepted as
standard formal systems, and add some clauses to each
of them in order to achieve seriously problematic systems:
P# and L#. Second, I analyze the exact points of these
problematic systems and explain why they cannot be accepted.
Third, I describe the formal systems of Carnap (1947),
Kanger (1957), and Montague (1960) and show that each
of these systems includes PLLM, at least partly.
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