74 ideas
8625 | What physical facts could underlie 0 or 1, or very large numbers? [Frege on Mill] |
17895 | Combining two distinct assertions does not necessarily lead to a single 'complex proposition' [Mill] |
10427 | All names are names of something, real or imaginary [Mill] |
4944 | Mill says names have denotation but not connotation [Mill, by Kripke] |
7762 | Proper names are just labels for persons or objects, and the meaning is the object [Mill, by Lycan] |
9801 | Numbers must be assumed to have identical units, as horses are equalised in 'horse-power' [Mill] |
8742 | The only axioms needed are for equality, addition, and successive numbers [Mill, by Shapiro] |
9800 | Arithmetic is based on definitions, and Sums of equals are equal, and Differences of equals are equal [Mill] |
5201 | Mill says logic and maths is induction based on a very large number of instances [Mill, by Ayer] |
9360 | If two black and two white objects in practice produced five, what colour is the fifth one? [Lewis,CI on Mill] |
9888 | Mill mistakes particular applications as integral to arithmetic, instead of general patterns [Dummett on Mill] |
9794 | There are no such things as numbers in the abstract [Mill] |
9796 | Things possess the properties of numbers, as quantity, and as countable parts [Mill] |
9795 | Numbers have generalised application to entities (such as bodies or sounds) [Mill] |
9798 | Different parcels made from three pebbles produce different actual sensations [Mill] |
9797 | '2 pebbles and 1 pebble' and '3 pebbles' name the same aggregation, but different facts [Mill] |
9799 | 3=2+1 presupposes collections of objects ('Threes'), which may be divided thus [Mill] |
9802 | Numbers denote physical properties of physical phenomena [Mill] |
9803 | We can't easily distinguish 102 horses from 103, but we could arrange them to make it obvious [Mill] |
9804 | Arithmetical results give a mode of formation of a given number [Mill] |
9805 | 12 is the cube of 1728 means pebbles can be aggregated a certain way [Mill] |
8741 | Numbers must be of something; they don't exist as abstractions [Mill] |
12411 | Mill is too imprecise, and is restricted to simple arithmetic [Kitcher on Mill] |
5656 | Empirical theories of arithmetic ignore zero, limit our maths, and need probability to get started [Frege on Mill] |
9624 | Numbers are a very general property of objects [Mill, by Brown,JR] |
9806 | Whatever is made up of parts is made up of parts of those parts [Mill] |
11156 | The essence is that without which a thing can neither be, nor be conceived to be [Mill] |
12190 | Necessity is what will be, despite any alternative suppositions whatever [Mill] |
22623 | Necessity can only mean what must be, without conditions of any kind [Mill] |
16859 | Most perception is one-tenth observation and nine-tenths inference [Mill] |
9082 | Clear concepts result from good observation, extensive experience, and accurate memory [Mill] |
16860 | Inductive generalisation is more reliable than one of its instances; they can't all be wrong [Mill] |
16845 | The whole theory of induction rests on causes [Mill] |
16843 | Mill's methods (Difference,Agreement,Residues,Concomitance,Hypothesis) don't nail induction [Mill, by Lipton] |
17086 | Surprisingly, empiricists before Mill ignore explanation, which seems to transcend experience [Mill, by Ruben] |
17091 | Explanation is fitting of facts into ever more general patterns of regularity [Mill, by Ruben] |
16805 | Causal inference is by spotting either Agreements or Differences [Mill, by Lipton] |
16835 | The Methods of Difference and of Agreement are forms of inference to the best explanation [Mill, by Lipton] |
9079 | We can focus our minds on what is common to a whole class, neglecting other aspects [Mill] |
9081 | We don't recognise comparisons by something in our minds; the concepts result from the comparisons [Mill] |
9080 | General conceptions are a necessary preliminary to Induction [Mill] |
9078 | The study of the nature of Abstract Ideas does not belong to logic, but to a different science [Mill] |
468 | Musical performance can reveal a range of virtues [Damon of Ath.] |
23369 | Some liberals thinks checks and balances are enough, without virtuous citizens [Kymlicka] |
23370 | Good citizens need civic virtues of loyalty, independence, diligence, respect, etc. [Kymlicka] |
23373 | Liberals accept that people need society, but Aristotelians must show that they need political activity [Kymlicka] |
23375 | Minimal liberal citizenship needs common civility, as well as mere non-interference [Kymlicka] |
23376 | Modern non-discrimination obliges modern citizens to treat each other as equals [Kymlicka] |
23377 | The right wing sees citizenship in terms of responsibility to earn a living, rather than rights [Kymlicka] |
23371 | Modern democratic theory focuses on talk, not votes, because we need consensus or compromise [Kymlicka] |
23390 | In a liberal democracy all subjects of authority have a right to determine the authority [Kymlicka] |
23374 | We have become attached to private life because that has become greatly enriched [Kymlicka] |
23387 | Liberals must avoid an official culture, as well as an official religion [Kymlicka] |
23388 | Liberals need more than freedom; they must build a nation, through a language and institutions [Kymlicka] |
23380 | Some individuals can gain citizenship as part of a group, rather than as mere individuals [Kymlicka] |
23381 | The status hierarchy is independent of the economic hierarchy [Kymlicka] |
23383 | Some multiculturalists defended the rights of cohesive minorities against liberal individualism [Kymlicka] |
23384 | 'Culturalist' liberals say that even liberal individuals may need minority rights [Kymlicka] |
23385 | Multiculturalism may entail men dominating women in minority groups [Kymlicka] |
23386 | Liberals must prefer minority right which are freedoms, not restrictions [Kymlicka] |
23389 | Why shouldn't national minorities have their own right to nation-build? [Kymlicka] |
23391 | Multiculturalism is liberal if it challenges inequality, conservative if it emphasises common good [Kymlicka] |
23379 | Rights are a part of nation-building, to build a common national identity and culture [Kymlicka] |
23382 | Rights derived from group membership are opposed to the idea of state citizenship [Kymlicka] |
23378 | The welfare state helps to integrate the working classes into a national culture [Kymlicka] |
8345 | A cause is the total of all the conditions which inevitably produce the result [Mill] |
10391 | Causes and conditions are not distinct, because we select capriciously from among them [Mill] |
14547 | The strict cause is the total positive and negative conditions which ensure the consequent [Mill] |
8377 | Causation is just invariability of succession between every natural fact and a preceding fact [Mill] |
14545 | A cause is an antecedent which invariably and unconditionally leads to a phenomenon [Mill] |
4773 | Mill's regularity theory of causation is based on an effect preceded by a conjunction of causes [Mill, by Psillos] |
4775 | In Mill's 'Method of Agreement' cause is the common factor in a range of different cases [Mill, by Psillos] |
4776 | In Mill's 'Method of Difference' the cause is what stops the effect when it is removed [Mill, by Psillos] |
9417 | What are the fewest propositions from which all natural uniformities could be inferred? [Mill] |