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All the ideas for 'Explanation in Mathematics', 'Dthat' and 'works'

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3 ideas

1. Philosophy / G. Scientific Philosophy / 3. Scientism
Philosophy is not separate from or above empirical science [Neurath]
     Full Idea: There is no such thing as philosophy as a basic or universal science alongside or above the various fields of the one empirical science.
     From: Otto Neurath (works [1930]), quoted by Simon Critchley - Continental Philosophy - V. Short Intro Ch.6
     A reaction: This is what you get for becoming an empiricist. If philosophy is the quest for human wisdom, it seems to me highly unlikely that physical sciences will provide it. Human interests and values and understanding play absolutely no role in physics.
9. Objects / D. Essence of Objects / 7. Essence and Necessity / b. Essence not necessities
Essences are no use in mathematics, if all mathematical truths are necessary [Mancosu]
     Full Idea: Essences and essential properties do not seem to be useful in mathematical contexts, since all mathematical truths are regarded as necessary (though Kit Fine distinguishes between essential and necessary properties).
     From: Paolo Mancosu (Explanation in Mathematics [2008], §6.1)
     A reaction: I take the proviso in brackets to be crucial. This represents a distortion of notion of an essence. There is a world of difference between the central facts about the nature of a square and the peripheral inferences derivable from it.
19. Language / B. Reference / 3. Direct Reference / b. Causal reference
Are causal descriptions part of the causal theory of reference, or are they just metasemantic? [Kaplan, by Schaffer,J]
     Full Idea: Kaplan notes that the causal theory of reference can be understood in two quite different ways, as part of the semantics (involving descriptions of causal processes), or as metasemantics, explaining why a term has the referent it does.
     From: report of David Kaplan (Dthat [1970]) by Jonathan Schaffer - Deflationary Metaontology of Thomasson 1
     A reaction: [Kaplan 'Afterthought' 1989] The theory tends to be labelled as 'direct' rather than as 'causal' these days, but causal chains are still at the heart of the story (even if more diffused socially). Nice question. Kaplan takes the meta- version as orthodox.