display all the ideas for this combination of texts
7 ideas
3093 | 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) |
3098 | 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) |
3094 | 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) |
8729 | Intuitionists deny excluded middle, because it is committed to transcendent truth or objects [Shapiro] |
Full Idea: Intuitionists in mathematics deny excluded middle, because it is symptomatic of faith in the transcendent existence of mathematical objects and/or the truth of mathematical statements. | |
From: Stewart Shapiro (Thinking About Mathematics [2000], 1.2) | |
A reaction: There are other problems with excluded middle, such as vagueness, but on the whole I, as a card-carrying 'realist', am committed to the law of excluded middle. |
3080 | 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) |
3081 | 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) |
3084 | 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) |