Combining Texts

Ideas for 'Writing the Book of the World', 'Cratylus' and 'The Really Hard Problem'

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10 ideas

5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
There is a real issue over what is the 'correct' logic [Sider]
     Full Idea: Certain debates over the 'correct' logic are genuine, and not linguistic or conceptual.
     From: Theodore Sider (Writing the Book of the World [2011], 01.3)
     A reaction: It is rather hard to give arguments in favour of this view, but I am pleased to have the authority of Sider with me.
'It is raining' and 'it is not raining' can't be legislated, so we can't legislate 'p or ¬p' [Sider]
     Full Idea: I cannot legislate-true 'It is raining' and I cannot legislate true 'It is not raining', so if I cannot legislate either true then I cannot legislate-true the disjunction 'it is raining or it is not raining'.
     From: Theodore Sider (Writing the Book of the World [2011], 06.5)
     A reaction: This strikes me as a very simple and very persuasive argument against the idea that logic is a mere convention. I take disjunction to be an abstract summary of how the world works. Sider seems sympathetic.
5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
Classical logic is good for mathematics and science, but less good for natural language [Sider]
     Full Idea: Despite its brilliant success in mathematics and fundamental science, classical logic applies uneasily to natural language.
     From: Theodore Sider (Writing the Book of the World [2011], 10.6)
     A reaction: He gives examples of the conditional, and debates over the meaning of 'and', 'or' and 'not', and also names and quantifiers. Many modern philosophical problems result from this conflict.
5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
Modal accounts of logical consequence are simple necessity, or essential use of logical words [Sider]
     Full Idea: The simplest modal account is that logical consequence is just necessary consequence; another modal account says that logical consequences are modal consequences that involve only logical words essentially.
     From: Theodore Sider (Writing the Book of the World [2011], 12.3)
     A reaction: [He cites Quine's 'Carnap and Logical Truth' for the second idea] Sider is asserting that Humeans like him dislike modality, and hence need a nonmodal account of logical consequence.
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
Define logical constants by role in proofs, or as fixed in meaning, or as topic-neutral [Sider]
     Full Idea: Some say that logical constants are those expressions that are defined by their proof-theoretic roles, others that they are the expressions whose semantic values are permutation-invariant, and still others that they are the topic-neutral expressions.
     From: Theodore Sider (Writing the Book of the World [2011], 10.3)
     A reaction: [He cites MacFarlane 2005 as giving a survey of this]
5. Theory of Logic / F. Referring in Logic / 1. Naming / a. Names
A name is a sort of tool [Plato]
     Full Idea: A name is a sort of tool.
     From: Plato (Cratylus [c.377 BCE], 388a)
     A reaction: Idea 13775 gives a background for this metaphor, from earlier in the text. Wittgenstein has a famous toolkit metaphor for language. The whole of this text, 'Cratylus', is about names.
A name-giver might misname something, then force other names to conform to it [Plato]
     Full Idea: The name-giver might have made a mistake at the beginning and then forced the other names to be consistent with it.
     From: Plato (Cratylus [c.377 BCE], 436c)
     A reaction: Lovely. This is Gareth Evans's 'Madagascar' example. See Idea 9041.
Things must be known before they are named, so it can't be the names that give us knowledge [Plato]
     Full Idea: If things cannot be learned except from their names, how can we possibly claim that the name-givers or rule-setters have knowledge before any names had been given for them to know?
     From: Plato (Cratylus [c.377 BCE], 438b)
     A reaction: Running through this is a hostility to philosophy of language, so I find it very congenial. We are animals who relate to the world before language takes a grip. We have full-blown knowledge of things, with no intervention of words.
5. Theory of Logic / F. Referring in Logic / 1. Naming / c. Names as referential
Anyone who knows a thing's name also knows the thing [Plato]
     Full Idea: The simple truth is that anyone who knows a thing's name also knows the thing.
     From: Plato (Cratylus [c.377 BCE], 435d)
     A reaction: A nice slogan, but it seems to be blatantly false. The best example is Gareth Evans's of joining in a conversation about a person ('Louis'?), and only gradually tuning in to the person to which the name refers.
5. Theory of Logic / H. Proof Systems / 4. Natural Deduction
'Tonk' is supposed to follow the elimination and introduction rules, but it can't be so interpreted [Sider]
     Full Idea: 'Tonk' is stipulated by Prior to stand for a meaning that obeys the elimination and introduction rules; but there simply is no such meaning; 'tonk' cannot be interpreted so as to obey the rules.
     From: Theodore Sider (Writing the Book of the World [2011], 06.5)
     A reaction: 'Tonk' thus seems to present a problem for so-called 'natural' deduction, if the natural deduction consists of nothing more than obey elimination and introduction rules.