5 ideas
| 17783 | A number is not a multitude, but a unified ratio between quantities [Newton] |
| Full Idea: By a Number we understand not so much a Multitude of Unities, as the abstracted Ratio of any Quantity to another Quantity of the same Kind, which we take for unity. | |
| From: Isaac Newton (Universal Arithmetick [1669]), quoted by John Mayberry - What Required for Foundation for Maths? p.407-2 | |
| A reaction: This needs a metaphysics of 'kinds' (since lines can't have ratios with solids). Presumably Newton wants the real numbers to be more basic than the natural numbers. This is the transition from Greek to modern. |
| 13128 | 'Ultimate sortals' cannot explain ontological categories [Westerhoff on Wiggins] |
| Full Idea: 'Ultimate sortals' are said to be non-subordinated, disjoint from one another, and uniquely paired with each object. Because of this, the ultimate sortal cannot be a satisfactory explication of the notion of an ontological category. | |
| From: comment on David Wiggins (Identity and Spatio-Temporal Continuity [1971], p.75) by Jan Westerhoff - Ontological Categories §26 | |
| A reaction: My strong intuitions are that Wiggins is plain wrong, and Westerhoff gives the most promising reasons for my intuition. The simplest point is that objects can obviously belong to more than one category. |
| 22370 | Big central government only exists as a focus for anger - not to act [Fisher] |
| Full Idea: The specter of big government is there to be blamed precisely for its failure to act as a centralising power, the anger directed at it much like the fury Thomas Hardy supposedly spat at God for not existing. | |
| From: Mark Fisher (Capitalist Realism [2009], 8) | |
| A reaction: The point is that the power resides with the leaders of capitalism, and central government is largely a side-show. Sounds somewhat true, and the politicians are largely unaware of their role. |
| 22368 | It is hard to imagine the end of capitalism [Fisher] |
| Full Idea: It is easier to imagine the end of the world than it is to imagine the end of capitalism. | |
| From: Mark Fisher (Capitalist Realism [2009], 1) | |
| A reaction: His book addresses the question of whether complacently accepting capitalism is the right attitude. I read it because I am complacently resigned to living with capitalism. If we started again, would capitalism be a rational choice? |
| 22369 | Are students consumers or products of education? [Fisher] |
| Full Idea: Are students the consumers of education, or its product? | |
| From: Mark Fisher (Capitalist Realism [2009], 6) | |
| A reaction: As a teacher I have been increasingly obliged to treat pupils as customers, meaning that my main task is to keep them happy. Admittedly, pupils who are interested are usually happy pupils, but as a main objective happiness seems wrong. |