Combining Texts

All the ideas for 'Science and Method', 'Frege on Apriority' and 'Does Consciousness Exist?'

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4 ideas

6. Mathematics / A. Nature of Mathematics / 2. Geometry
One geometry cannot be more true than another [Poincaré]
     Full Idea: One geometry cannot be more true than another; it can only be more convenient.
     From: Henri Poincaré (Science and Method [1908], p.65), quoted by Stewart Shapiro - Philosophy of Mathematics
     A reaction: This is the culminating view after new geometries were developed by tinkering with Euclid's parallels postulate.
You can't simply convert geometry into algebra, as some spatial content is lost [Burge]
     Full Idea: Although one can translate geometrical propositions into algebraic ones and produce equivalent models, the meaning of geometrical propositions seems to me to be thereby lost. Pure geometry involves spatial content, even if abstracted from physical space.
     From: Tyler Burge (Frege on Apriority [2000], IV)
     A reaction: This supports Frege's view (against Quine) that geometry won't easily fit into the programme of logicism. I agree with Burge. You would be focusing on the syntax of geometry, and leaving out the semantics.
15. Nature of Minds / B. Features of Minds / 1. Consciousness / e. Cause of consciousness
Consciousness is not a stuff, but is explained by the relations between experiences [James]
     Full Idea: Consciousness connotes a kind of external relation, and not a special stuff or way of being. The peculiarity of our experiences, that they not only are, but are known, is best explained by their relations to one another, the relations being experiences.
     From: William James (Does Consciousness Exist? [1904], §3)
     A reaction: This view has suddenly caught people's interest. It might be better than the higher/lower relationship, which seems to leave the basic problem untouched. Does a whole network of relations between experiences gradually 'add up' to consciousness?
17. Mind and Body / E. Mind as Physical / 3. Eliminativism
'Consciousness' is a nonentity, a mere echo of the disappearing 'soul' [James]
     Full Idea: 'Consciousness' is the name of a nonentity. ..Those who cling to it are clinging to a mere echo, the faint rumour left behind by the disappearing 'soul' upon the air of philosophy. ..I deny that it stands for an entity, but it does stand for a function.
     From: William James (Does Consciousness Exist? [1904], Intro)
     A reaction: This kind of view is often treated as being preposterous, but I think it is correct. No one is denying the phenomenology, but it is the ontology which is at stake. Either you are a substance dualist, or mind must be eliminated as an 'entity'.