8 ideas
| 8083 | Boole applied normal algebra to logic, aiming at an algebra of thought [Boole, by Devlin] |
| Full Idea: Boole proposed to use the entire apparatus of a school algebra class, with operations such as addition and multiplication, methods to solve equations, and the like, to produce an algebra of thought. | |
| From: report of George Boole (The Laws of Thought [1854]) by Keith Devlin - Goodbye Descartes Ch.3 | |
| A reaction: The Stoics didn’t use any algebraic notation for their study of propositions, so Boole's idea launched full blown propositional logic, and the rest of modern logic followed. Nice one. |
| 7727 | Boole's notation can represent syllogisms and propositional arguments, but not both at once [Boole, by Weiner] |
| Full Idea: Boole introduced a new symbolic notation in which it was possible to represent both syllogisms and propositional arguments, ...but not both at once. | |
| From: report of George Boole (The Laws of Thought [1854], Ch.3) by Joan Weiner - Frege | |
| A reaction: How important is the development of symbolic notations for the advancement of civilisations? Is there a perfect notation, as used in logical heaven? |
| 8686 | Boole made logic more mathematical, with algebra, quantifiers and probability [Boole, by Friend] |
| Full Idea: Boole (followed by Frege) began to turn logic from a branch of philosophy into a branch of mathematics. He brought an algebraic approach to propositions, and introduced the notion of a quantifier and a type of probabilistic reasoning. | |
| From: report of George Boole (The Laws of Thought [1854], 3.2) by Michèle Friend - Introducing the Philosophy of Mathematics | |
| A reaction: The result was that logic not only became more mathematical, but also more specialised. We now have two types of philosopher, those steeped in mathematical logic and the rest. They don't always sing from the same songsheet. |
| 22277 | Boole's method was axiomatic, achieving economy, plus multiple interpretations [Boole, by Potter] |
| Full Idea: Boole's work was an early example of the axiomatic method, whereby intellectual economy is achieved by studying a set of axioms in which the primitive terms have multiple interpretations. | |
| From: report of George Boole (The Laws of Thought [1854]) by Michael Potter - The Rise of Analytic Philosophy 1879-1930 02 'Boole' | |
| A reaction: Unclear about this. I suppose the axioms are just syntactic, and a range of semantic interpretations can be applied. Are De Morgan's Laws interpretations, or implications of the syntactic axioms? The latter, I think. |
| 4921 | Quantum states in microtubules could bind brain activity to produce consciousness [Penrose] |
| Full Idea: I propose that microtubules in nerve cells could give rise to a stable quantum state that would bind the activity of brain cells throughout the cerebrum and in doing so give rise to consciousness. | |
| From: Roger Penrose (Could a computer ever understand? [1998], p.329) | |
| A reaction: This seems to offer a physical theory to account for the 'unity' of the mind (which so impressed Descartes), but I don't quite see why being aware of things would ensue from some 'quantum binding'. I daresay 'quantum binding' occurs in the Sun. |
| 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. |