10 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. |
18189 | ZFC could contain a contradiction, and it can never prove its own consistency [MacLane] |
Full Idea: We have at hand no proof that the axioms of ZFC for set theory will never yield a contradiction, while Gödel's second theorem tells us that such a consistency proof cannot be conducted within ZFC. | |
From: Saunders MacLane (Mathematics: Form and Function [1986], p.406), quoted by Penelope Maddy - Naturalism in Mathematics | |
A reaction: Maddy quotes this, while defending set theory as the foundation of mathematics, but it clearly isn't the most secure foundation that could be devised. She says the benefits of set theory do not need guaranteed consistency (p.30). |
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. |
20180 | A happy and joyous life must largely be a quiet life [Russell] |
Full Idea: A happy life must to a great extent be a quiet life, for it is only in an atmosphere of quiet that true joy can live. | |
From: Bertrand Russell (The Conquest of Happiness [1930], 4) | |
A reaction: Most people's image of happiness is absorption in an interesting task, or relaxing in good company. The idea that happiness is wild excitement exists, but is a minority view. |
20177 | Boredom always involves not being fully occupied [Russell] |
Full Idea: It is one of the essentials of boredom that one's faculties must not be fully occupied. | |
From: Bertrand Russell (The Conquest of Happiness [1930], 4) | |
A reaction: He gives running for your life as an example of non-boredom. I suspect that this is only the sort of boredom that troubled Russell, and not the sort of profound boredom that led the actor George Sanders to suicide (according to his last note). |
20178 | Life is now more interesting, but boredom is more frightening [Russell] |
Full Idea: We are less bored than our ancestors were, but we are more afraid of boredom | |
From: Bertrand Russell (The Conquest of Happiness [1930], 4) | |
A reaction: I get the impression that the invention of the powerful mobile phone has largely banished boredom from human life, except when you are obliged to switch it off. The fear of boredom may hence be even greater now. |
20176 | Boredom is an increasingly strong motivating power [Russell] |
Full Idea: Boredom has been, I believe, one of the great motive powers throughout the historical epoch, and is so at the present day more than ever. | |
From: Bertrand Russell (The Conquest of Happiness [1930], 4) | |
A reaction: Most of his essay tells us how to avoid boredom, rather than how it motivates. |
20179 | Happiness involves enduring boredom, and the young should be taught this [Russell] |
Full Idea: A certain power of enduring boredom is essential to a happy life, and is one of the things that ought to be taught to the young. | |
From: Bertrand Russell (The Conquest of Happiness [1930], 4) | |
A reaction: As an example he suggests that Wordsworth would never have written 'The Prelude' is he had never been bored when young. Which suggests that Russell doesn't really get boredom, seeing it merely as a stimulus to work. |