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All the ideas for '', 'Mathematical Thought from Ancient to Modern Times' and 'The Meaning of 'Meaning''

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14 ideas

5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
If a sound conclusion comes from two errors that cancel out, the path of the argument must matter [Rumfitt]
     Full Idea: If a designated conclusion follows from the premisses, but the argument involves two howlers which cancel each other out, then the moral is that the path an argument takes from premisses to conclusion does matter to its logical evaluation.
     From: Ian Rumfitt ("Yes" and "No" [2000], II)
     A reaction: The drift of this is that our view of logic should be a little closer to the reasoning of ordinary language, and we should rely a little less on purely formal accounts.
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
Standardly 'and' and 'but' are held to have the same sense by having the same truth table [Rumfitt]
     Full Idea: If 'and' and 'but' really are alike in sense, in what might that likeness consist? Some philosophers of classical logic will reply that they share a sense by virtue of sharing a truth table.
     From: Ian Rumfitt ("Yes" and "No" [2000])
     A reaction: This is the standard view which Rumfitt sets out to challenge.
The sense of a connective comes from primitively obvious rules of inference [Rumfitt]
     Full Idea: A connective will possess the sense that it has by virtue of its competent users' finding certain rules of inference involving it to be primitively obvious.
     From: Ian Rumfitt ("Yes" and "No" [2000], III)
     A reaction: Rumfitt cites Peacocke as endorsing this view, which characterises the logical connectives by their rules of usage rather than by their pure semantic value.
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
Axioms reveal the underlying assumptions, and reveal relationships between different areas [Kline]
     Full Idea: The axiomatic method ....revealed precisely what assumptions underlie each branch [of mathematics] and made possible the comparison and clarification of the relationships of various branches.
     From: Morris Kline (Mathematical Thought from Ancient to Modern Times [1972], p.1027), quoted by Penelope Maddy - Defending the Axioms 1.3
     A reaction: I take this to be the 'fruitfulness' which marks out the discovery of the essence of something.
9. Objects / D. Essence of Objects / 15. Against Essentialism
Putnam smuggles essentialism about liquids into his proof that water must be H2O [Salmon,N on Putnam]
     Full Idea: In the full exposition of Putnam's mechanism for generating the necessary truth that water is H2O, we find that the mechanism employs a certain nontrivial general principle of essentialism concerning liquid substances as a crucial premise.
     From: comment on Hilary Putnam (The Meaning of 'Meaning' [1975]) by Nathan Salmon - Reference and Essence (1st edn) 6.23.1
     A reaction: This charge, that Kripke and Putnam smuggle the essentialism into their semantics, rather than deriving it, is the nub of Salmon's criticism of them. It seems to me that a new world view emerged while those two where revising the semantics.
15. Nature of Minds / B. Features of Minds / 5. Qualia / b. Qualia and intentionality
The Twin Earth theory suggests that intentionality is independent of qualia [Jacquette on Putnam]
     Full Idea: Putnam's Twin Earth thought experiment suggests that two thinkers can have identical qualia, despite intending different objects on Earth and Twin Earth, and hence that qualia and intentionality must be logically independent of one another.
     From: comment on Hilary Putnam (The Meaning of 'Meaning' [1975]) by Dale Jacquette - Ontology Ch.10
     A reaction: [See Idea 4099, Idea 3208, Idea 7612 for Twin Earth]. Presumably my thought of 'the smallest prime number above 10000' would be a bit thin on qualia too. Does that make them 'logically' independent? Depends what we reduce qualia or intentionality to.
18. Thought / C. Content / 5. Twin Earth
If Twins talking about 'water' and 'XYZ' have different thoughts but identical heads, then thoughts aren't in the head [Putnam, by Crane]
     Full Idea: Putnam claims that the Twins have different thoughts even though their heads are the same, so their thoughts (about 'water' or 'XYZ') cannot be in their heads.
     From: report of Hilary Putnam (The Meaning of 'Meaning' [1975]) by Tim Crane - Elements of Mind 4.37
     A reaction: Is Putnam guilty of a simple confusion of de re and de dicto reference?
We say ice and steam are different forms of water, but not that they are different forms of H2O [Forbes,G on Putnam]
     Full Idea: Putnam presumes it is correct to say that ice and steam are forms of water, rather than that ice, water and steam are three forms of H2O. If we allow the latter, then 'water is H2O' is not an identity, but elliptical for 'water is H2O in liquid state'.
     From: comment on Hilary Putnam (The Meaning of 'Meaning' [1975]) by Graeme Forbes - The Metaphysics of Modality 8.2
     A reaction: This nice observation seems to reveal that the word 'water' is ambiguous. I presume the ambiguity preceded the discovery of its chemical construction. Shakespeare would have hesitated over whether to say 'water is ice'. Context would matter.
Does 'water' mean a particular substance that was 'dubbed'? [Putnam, by Rey]
     Full Idea: Putnam argued that "water" refers to H2O by virtue of causal chains extending from present use back to early dubbing uses of it that were in fact dubbings of the substance H2O (although, of course, the original users of the word didn't know this).
     From: report of Hilary Putnam (The Meaning of 'Meaning' [1975]) by Georges Rey - Contemporary Philosophy of Mind 9.2.1
     A reaction: This is the basic idea of the Causal Theory of Reference. Nice conclusion: most of us don't know what we are talking about. Maybe the experts on H2O are also wrong...
19. Language / B. Reference / 4. Descriptive Reference / a. Sense and reference
Often reference determines sense, and not (as Frege thought) vice versa [Putnam, by Scruton]
     Full Idea: Putnam argues that, Frege notwithstanding, it is often the case that reference determines sense, and not vice versa.
     From: report of Hilary Putnam (The Meaning of 'Meaning' [1975]) by Roger Scruton - Modern Philosophy:introduction and survey 19.6
     A reaction: Does this say anything more than that once you have established a reference, you can begin to collect information about the referent?
19. Language / F. Communication / 3. Denial
We learn 'not' along with affirmation, by learning to either affirm or deny a sentence [Rumfitt]
     Full Idea: The standard view is that affirming not-A is more complex than affirming the atomic sentence A itself, with the latter determining its sense. But we could learn 'not' directly, by learning at once how to either affirm A or reject A.
     From: Ian Rumfitt ("Yes" and "No" [2000], IV)
     A reaction: [compressed] This seems fairly anti-Fregean in spirit, because it looks at the psychology of how we learn 'not' as a way of clarifying what we mean by it, rather than just looking at its logical behaviour (and thus giving it a secondary role).
26. Natural Theory / B. Natural Kinds / 4. Source of Kinds
The hidden structure of a natural kind determines membership in all possible worlds [Putnam]
     Full Idea: If there is a hidden structure, then generally it determines what it is to be a member of the natural kind, ...in all possible worlds. Put another way, it determines what we can and cannot counterfactually suppose about the natural kind.
     From: Hilary Putnam (The Meaning of 'Meaning' [1975], p.241)
     A reaction: This is the arrival of the bold new view of natural kinds (which is actually the original view - see Idea 8153). One must be careful of the necessity here. There is causal context, vagueness etc.
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / a. Scientific essentialism
If causes are the essence of diseases, then disease is an example of a relational essence [Putnam, by Williams,NE]
     Full Idea: Putnam takes causes to be the essence of disease kinds, and they are distinct from the diseases they cause, both in identity and in proper parthood. These are relational properties, so Putnam gives examples of natural kinds with relational essences.
     From: report of Hilary Putnam (The Meaning of 'Meaning' [1975]) by Neil E. Williams - Putnam's Traditional Neo-Essentialism §4
     A reaction: This seems to be a nice point, since scientific essentialism invariable takes itself to be pursuing instrinsic properties when it unravels the essences of natural kinds. Probably the best response is the Putnam has got muddled.
Archimedes meant by 'gold' the hidden structure or essence of the stuff [Putnam]
     Full Idea: When Archimedes asserted that something was gold, he was not just saying that it had the superficial characteristics of gold; he was saying that it had the same general hidden structure (the same 'essence', so to speak) as any normal piece of local gold.
     From: Hilary Putnam (The Meaning of 'Meaning' [1975], p.235)
     A reaction: This is one of the key announcements of the new scientific essentialism, and seems to me to be totally correct. Obviously Archimedes could say 'this is really gold, even if it no way appears to be gold'.