display all the ideas for this combination of texts
2 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. |
| 20182 | The word 'intuitive' often plays not role at all in arguments, and can be removed [Cappelen] |
| Full Idea: Careful study of uses of 'intuitive' will reveal that it often plays no significant argumentative role, and that removal will improve overall argumentative transparency. | |
| From: Herman Cappelen (Philosophy without Intuitions [2012], 04.1) | |
| A reaction: This is a key part of Cappelen's argument that 'intuition' is a rather empty concept, and that philosophers do not really rely on it. In effect, he is consigning it to mere rhetoric. He gives lots of examples in support. |