7 ideas
| 4037 | Ockham's Razor is the principle that we need reasons to believe in entities [Mellor/Oliver] |
| Full Idea: Ockham's Razor is the principle that we need reasons to believe in entities. | |
| From: DH Mellor / A Oliver (Introduction to 'Properties' [1997], §9) | |
| A reaction: This presumably follows from an assumption that all beliefs need reasons, but is that the case? The Principle of Sufficient Reason precedes Ockham's Razor. |
| 9565 | Zermelo made 'set' and 'member' undefined axioms [Zermelo, by Chihara] |
| Full Idea: The terms 'set' and 'is a member of' are primitives of Zermelo's 1908 axiomatization of set theory. They are not given model-theoretic analyses or definitions. | |
| From: report of Ernst Zermelo (works [1920]) by Charles Chihara - A Structural Account of Mathematics 7.5 | |
| A reaction: This looks like good practice if you want to work with sets, but not so hot if you are interested in metaphysics. |
| 3339 | For Zermelo's set theory the empty set is zero and the successor of each number is its unit set [Zermelo, by Blackburn] |
| Full Idea: For Zermelo's set theory the empty set is zero and the successor of each number is its unit set. | |
| From: report of Ernst Zermelo (works [1920]) by Simon Blackburn - Oxford Dictionary of Philosophy p.280 |
| 4027 | Properties are respects in which particular objects may be alike or differ [Mellor/Oliver] |
| Full Idea: Properties are respects in which particular objects may be alike or differ. | |
| From: DH Mellor / A Oliver (Introduction to 'Properties' [1997], §1) | |
| A reaction: Note that this definition does not mention a causal role for properties. |
| 4029 | Nominalists ask why we should postulate properties at all [Mellor/Oliver] |
| Full Idea: Nominalists ask why we should postulate properties at all. | |
| From: DH Mellor / A Oliver (Introduction to 'Properties' [1997], §3) | |
| A reaction: Objects might be grasped without language, but events cannot be understood, and explanations of events seem inconceivable without properties (implying that they are essentially causal). |
| 4039 | Abstractions lack causes, effects and spatio-temporal locations [Mellor/Oliver] |
| Full Idea: Abstract entities (such as sets) are usually understood as lacking causes, effects, and spatio-temporal location. | |
| From: DH Mellor / A Oliver (Introduction to 'Properties' [1997], §10) | |
| A reaction: This seems to beg some questions. Has the ideal of 'honour' never caused anything? Young men dream of pure velocity. |
| 23897 | Once money is the main aim, society needs everyone to think wealth is possible [Weil] |
| Full Idea: Money, once it becomes the goal of desires and efforts, cannot tolerate in its domain internal conditions in which it is impossible to be enriched. | |
| From: Simone Weil (The Work of a Free Person [1942], p.134) | |
| A reaction: The possibility for everyone that they might become rich seems basic to capitalism, even though it is utterly impossible. In theory we can all set up small successful businesses, but if they are good they nearly all get squeezed out. |