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Ideas for 'On the Question of Absolute Undecidability', 'Thought' and 'A Dictionary of Political Thought'

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7 ideas

5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
Any two states are logically linked, by being entailed by their conjunction [Harman]
     Full Idea: Any two states of affairs are logically connected, simply because both are entailed by their conjunction.
     From: Gilbert Harman (Thought [1973], 8.1)
5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
Deductive logic is the only logic there is [Harman]
     Full Idea: Deductive logic is the only logic there is.
     From: Gilbert Harman (Thought [1973], 10.4)
5. Theory of Logic / B. Logical Consequence / 5. Modus Ponens
You don't have to accept the conclusion of a valid argument [Harman]
     Full Idea: We may say "From P and If-P-then-Q, infer Q" (modus ponens), but there is no rule of acceptance to say that we should accept Q. Maybe we should stop believing P or If-P-then-Q rather than believe Q.
     From: Gilbert Harman (Thought [1973], 10.1)
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
Our underlying predicates represent words in the language, not universal concepts [Harman]
     Full Idea: The underlying truth-conditional structures of thoughts are language-dependent in the sense that underlying predicates represent words in the language rather than universal concepts common to all languages.
     From: Gilbert Harman (Thought [1973], 6.3)
Logical form is the part of a sentence structure which involves logical elements [Harman]
     Full Idea: The logical form of a sentence is that part of its structure that involves logical elements.
     From: Gilbert Harman (Thought [1973], 5.2)
A theory of truth in a language must involve a theory of logical form [Harman]
     Full Idea: Some sort of theory of logical form is involved in any theory of truth for a natural language.
     From: Gilbert Harman (Thought [1973], 5.2)
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
We have no argument to show a statement is absolutely undecidable [Koellner]
     Full Idea: There is at present no solid argument to the effect that a given statement is absolutely undecidable.
     From: Peter Koellner (On the Question of Absolute Undecidability [2006], 5.3)