10 ideas
| 9540 | A 'value-assignment' (V) is when to each variable in the set V assigns either the value 1 or the value 0 [Hughes/Cresswell] |
| Full Idea: A 'value-assignment' (V) is when to each variable in the set V assigns either the value 1 or the value 0. | |
| From: GE Hughes/M Cresswell (An Introduction to Modal Logic [1968], Ch.1) | |
| A reaction: In the interpreted version of the logic, 1 and 0 would become T (true) and F (false). The procedure seems to be called nowadays a 'valuation'. |
| 9541 | The Law of Transposition says (P→Q) → (¬Q→¬P) [Hughes/Cresswell] |
| Full Idea: The Law of Transposition says that (P→Q) → (¬Q→¬P). | |
| From: GE Hughes/M Cresswell (An Introduction to Modal Logic [1968], Ch.1) | |
| A reaction: That is, if the consequent (Q) of a conditional is false, then the antecedent (P) must have been false. |
| 9543 | The rules preserve validity from the axioms, so no thesis negates any other thesis [Hughes/Cresswell] |
| Full Idea: An axiomatic system is most naturally consistent iff no thesis is the negation of another thesis. It can be shown that every axiom is valid, that the transformation rules are validity-preserving, and if a wff α is valid, then ¬α is not valid. | |
| From: GE Hughes/M Cresswell (An Introduction to Modal Logic [1968], Ch.1) | |
| A reaction: [The labels 'soundness' and 'consistency' seem interchangeable here, with the former nowadays preferred] |
| 20100 | Classical liberalism seeks freedom of opinion, of private life, of expression, and of property [Micklethwait/Wooldridge] |
| Full Idea: The classical liberals agreed on a basic list of freedoms: of opinion (including religion), of private life, of expression, and of property | |
| From: Micklethwait,J/Wooldridge,A (The Fourth Revolution [2014], 9) | |
| A reaction: Mill is main articulator of this. Modern neo-liberals focus on economic freedom. Neither of them seem to make freedom of opportunity central, though I suspect our modern Liberal Party would. |
| 9544 | A system is 'weakly' complete if all wffs are derivable, and 'strongly' if theses are maximised [Hughes/Cresswell] |
| Full Idea: To say that an axiom system is 'weakly complete' is to say that every valid wff of the system is derivable as a thesis. ..The system is 'strongly complete' if it cannot have any more theses than it has without falling into inconsistency. | |
| From: GE Hughes/M Cresswell (An Introduction to Modal Logic [1968], Ch.1) | |
| A reaction: [They go on to say that Propositional Logic is strongly complete, but Modal Logic is not] |
| 20097 | The welfare state aims at freedom from want, and equality of opportunity [Micklethwait/Wooldridge] |
| Full Idea: In the classical liberal tradition freedom meant freedom from external control, and equality meant equality before the law. In the welfare state (of Beatrice Webb) freedom was reinterpreted as freedom from want, and equality as equality of opportunity. | |
| From: Micklethwait,J/Wooldridge,A (The Fourth Revolution [2014], 3) | |
| A reaction: The authors call this the 'third revolution' in government, after 17th century centralisation and early 19th century accountability. Tawney 1931 is the key text. |
| 20099 | For communists history is driven by the proletariat [Micklethwait/Wooldridge] |
| Full Idea: For the communists the proletariat rather than the state was the locomotive of history. | |
| From: Micklethwait,J/Wooldridge,A (The Fourth Revolution [2014], 3) | |
| A reaction: I feel increasingly reluctant to support any party which appears to mainly represent the interests of a single social class, no matter how large that class may be. An attraction of liberalism is that it makes no reference to class. |
| 20098 | Fans of economic freedom claim that capitalism is self-correcting [Micklethwait/Wooldridge] |
| Full Idea: The central laissez-faire conceit is that capitalism is a self-correcting mechanism. | |
| From: Micklethwait,J/Wooldridge,A (The Fourth Revolution [2014], 3) | |
| A reaction: This was Keynes's rather left-wing criticism of standard capitalist views. These resurfaced in the 1980s with mantras about the virtues of 'market forces'. |
| 20096 | Roman law entrenched property rights [Micklethwait/Wooldridge] |
| Full Idea: Roman law entrenched property rights. | |
| From: Micklethwait,J/Wooldridge,A (The Fourth Revolution [2014], 1 Intro) | |
| A reaction: Normally attributed to Locke, so this is a good corrective. Was the principle gradually forgotten before Locke? |
| 6011 | There is a remote first god (the Good), and a second god who organises the material world [Numenius, by O'Meara] |
| Full Idea: Numenius argues that material reality depends on intelligible being, which depends on a first god - the Good - which is difficult to grasp, but which inspires a second god to imitate it, turning to matter and organizing it as the world. | |
| From: report of Numenius (fragments/reports [c.160]) by Dominic J. O'Meara - Numenius | |
| A reaction: The interaction problem comes either between the two gods, or between the second god and the world. The argument may have failed to catch on for long when people scented an infinite regress lurking in the middle of it. |