display all the ideas for this combination of texts
3 ideas
| 8725 | Rationalism tries to apply mathematical methodology to all of knowledge [Shapiro] |
| Full Idea: Rationalism is a long-standing school that can be characterized as an attempt to extend the perceived methodology of mathematics to all of knowledge. | |
| From: Stewart Shapiro (Thinking About Mathematics [2000], 1.1) | |
| A reaction: Sometimes called 'Descartes's Dream', or the 'Enlightenment Project', the dream of proving everything. Within maths, Hilbert's Programme aimed for the same certainty. Idea 22 is the motto for the opposition to this approach. |
| 6489 | Associationism results from having to explain intentionality just with sense-data [Robinson,H on Hume] |
| Full Idea: The limited theories of Berkeley and Hume have to be reductive, because they have to explain intentionality in terms of some kind of relation between sense-data; this predicament gives rise to the associationist accounts of psychology and meaning. | |
| From: comment on David Hume (Treatise of Human Nature [1739]) by Howard Robinson - Perception 1.4 | |
| A reaction: An illuminating explanation. Robinson seems to be implying that we should accept something like Searle's 'intrinsic' intentionality as basic, rather than intentionality built up from smaller components as Hume and Dennett suggest. |
| 6182 | Even Hume didn't include mathematics in his empiricism [Hume, by Kant] |
| Full Idea: Even Hume did not make empiricism so universal as to include mathematics in it. | |
| From: report of David Hume (Treatise of Human Nature [1739]) by Immanuel Kant - Critique of Practical Reason Pref | |
| A reaction: Hume didn't actually exclude mathematics, and the notion of 'relations of ideas' is a pointer. Subsequent empiricist have offered promising accounts. Personally I like the idea that patterns are the key idea. |