146 ideas
| 16281 | Honesty requires philosophical theories we can commit to with our ordinary commonsense [Lewis] |
| 16288 | Analysis reduces primitives and makes understanding explicit (without adding new knowledge) [Lewis] |
| 9651 | Verisimilitude might be explained as being close to the possible world where the truth is exact [Lewis] |
| 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] |
| 15731 | Quantification sometimes commits to 'sets', but sometimes just to pluralities (or 'classes') [Lewis] |
| 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] |
| 10470 | There are only two kinds: sets, and possibilia (actual and possible particulars) [Lewis, by Oliver] |
| 9650 | Supervenience concerns whether things could differ, so it is a modal notion [Lewis] |
| 8909 | Abstractions may well be verbal fictions, in which we ignore some features of an object [Lewis] |
| 9057 | Vagueness is semantic indecision: we haven't settled quite what our words are meant to express [Lewis] |
| 9671 | Whether or not France is hexagonal depends on your standards of precision [Lewis] |
| 15751 | Surely 'slept in by Washington' is a property of some bed? [Lewis] |
| 15735 | Properties don't have degree; they are determinate, and things have varying relations to them [Lewis] |
| 9656 | The 'abundant' properties are just any bizarre property you fancy [Lewis] |
| 15737 | To be a 'property' is to suit a theoretical role [Lewis] |
| 15742 | A disjunctive property can be unnatural, but intrinsic if its disjuncts are intrinsic [Lewis] |
| 15397 | If a global intrinsic never varies between possible duplicates, all necessary properties are intrinsic [Cameron on Lewis] |
| 15398 | Global intrinsic may make necessarily coextensive properties both intrinsic or both extrinsic [Cameron on Lewis] |
| 15741 | All of the natural properties are included among the intrinsic properties [Lewis] |
| 15752 | We might try defining the natural properties by a short list of them [Lewis] |
| 14996 | Natural properties give similarity, joint carving, intrinsicness, specificity, homogeneity... [Lewis] |
| 15744 | We can't define natural properties by resemblance, if they are used to explain resemblance [Lewis] |
| 15743 | Defining natural properties by means of laws of nature is potentially circular [Lewis] |
| 15740 | I don't take 'natural' properties to be fixed by the nature of one possible world [Lewis] |
| 16262 | Sparse properties rest either on universals, or on tropes, or on primitive naturalness [Lewis, by Maudlin] |
| 15739 | There is the property of belonging to a set, so abundant properties are as numerous as the sets [Lewis] |
| 10723 | A property is the set of its actual and possible instances [Lewis, by Oliver] |
| 15399 | The property of being F is identical with the set of objects, in all possible worlds, which are F [Lewis, by Cameron] |
| 15732 | Properties don't seem to be sets, because different properties can have the same set [Lewis] |
| 15733 | Accidentally coextensive properties come apart when we include their possible instances [Lewis] |
| 15734 | If a property is relative, such as being a father or son, then set membership seems relative too [Lewis] |
| 9655 | Trilateral and triangular seem to be coextensive sets in all possible worlds [Lewis] |
| 16290 | I believe in properties, which are sets of possible individuals [Lewis] |
| 9653 | It would be easiest to take a property as the set of its instances [Lewis] |
| 9657 | You must accept primitive similarity to like tropes, but tropes give a good account of it [Lewis] |
| 15750 | Tropes need a similarity primitive, so they cannot be used to explain similarity [Lewis] |
| 15749 | Trope theory (unlike universals) needs a primitive notion of being duplicates [Lewis] |
| 15748 | Trope theory needs a primitive notion for what unites some tropes [Lewis] |
| 15745 | Universals recur, are multiply located, wholly present, make things overlap, and are held in common [Lewis] |
| 15746 | If particles were just made of universals, similar particles would be the same particle [Lewis] |
| 15747 | Universals aren't parts of things, because that relationship is transitive, and universals need not be [Lewis] |
| 9806 | Whatever is made up of parts is made up of parts of those parts [Mill] |
| 9667 | Mereological composition is unrestricted: any class of things has a mereological sum [Lewis] |
| 13268 | There are no restrictions on composition, because they would be vague, and composition can't be vague [Lewis, by Sider] |
| 11156 | The essence is that without which a thing can neither be, nor be conceived to be [Mill] |
| 13793 | An essential property is one possessed by all counterparts [Lewis, by Elder] |
| 9663 | A thing 'perdures' if it has separate temporal parts, and 'endures' if it is wholly present at different times [Lewis] |
| 14737 | Properties cannot be relations to times, if there are temporary properties which are intrinsic [Lewis, by Sider] |
| 9664 | Endurance is the wrong account, because things change intrinsic properties like shape [Lewis] |
| 9665 | There are three responses to the problem that intrinsic shapes do not endure [Lewis] |
| 19280 | I can ask questions which create a context in which origin ceases to be essential [Lewis] |
| 15968 | Identity is simple - absolutely everything is self-identical, and nothing is identical to another thing [Lewis] |
| 15969 | Two things can never be identical, so there is no problem [Lewis] |
| 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] |
| 9660 | The impossible can be imagined as long as it is a bit vague [Lewis] |
| 9669 | There are no free-floating possibilia; they have mates in a world, giving them extrinsic properties [Lewis] |
| 16133 | Possible worlds can contain contradictions if such worlds are seen as fictions [Lewis] |
| 16132 | On mountains or in worlds, reporting contradictions is contradictory, so no such truths can be reported [Lewis] |
| 16283 | For me, all worlds are equal, with each being actual relative to itself [Lewis] |
| 12255 | For Lewis there is no real possibility, since all possibilities are actual [Oderberg on Lewis] |
| 9219 | Lewis posits possible worlds just as Quine says that physics needs numbers and sets [Lewis, by Sider] |
| 15022 | If possible worlds really exist, then they are part of actuality [Sider on Lewis] |
| 10469 | A world is a maximal mereological sum of spatiotemporally interrelated things [Lewis] |
| 16441 | Lewis rejects actualism because he identifies properties with sets [Lewis, by Stalnaker] |
| 16282 | Ersatzers say we have one world, and abstract representations of how it might have been [Lewis] |
| 16284 | Ersatz worlds represent either through language, or by models, or magically [Lewis] |
| 16286 | Linguistic possible worlds need a complete supply of unique names for each thing [Lewis] |
| 16287 | Maximal consistency for a world seems a modal distinction, concerning what could be true together [Lewis] |
| 9662 | Linguistic possible worlds have problems of inconsistencies, no indiscernibles, and vocabulary [Lewis] |
| 7690 | If sets exist, then defining worlds as proposition sets implies an odd distinction between existing and actual [Jacquette on Lewis] |
| 14404 | The counterpart relation is sortal-relative, so objects need not be a certain way [Lewis, by Merricks] |
| 5440 | A counterpart in a possible world is sufficiently similar, and more similar than anything else [Lewis, by Mautner] |
| 5441 | Why should statements about what my 'counterpart' could have done interest me? [Mautner on Lewis] |
| 16291 | In counterpart theory 'Humphrey' doesn't name one being, but a mereological sum of many beings [Lewis] |
| 11903 | Extreme haecceitists could say I might have been a poached egg, but it is too remote to consider [Lewis, by Mackie,P] |
| 15129 | Haecceitism implies de re differences but qualitative identity [Lewis] |
| 9670 | Extreme haecceitism says you might possibly be a poached egg [Lewis] |
| 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] |
| 16279 | General causal theories of knowledge are refuted by mathematics [Lewis] |
| 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] |
| 9661 | Induction is just reasonable methods of inferring the unobserved from the observed [Lewis] |
| 9652 | To just expect unexamined emeralds to be grue would be totally unreasonable [Lewis] |
| 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] |
| 9658 | An explanation tells us how an event was caused [Lewis] |
| 16280 | Often explanaton seeks fundamental laws, rather than causal histories [Lewis] |
| 16274 | If the well-ordering of a pack of cards was by shuffling, the explanation would make it more surprising [Lewis] |
| 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] |
| 8901 | Abstraction is usually explained either by example, or conflation, or abstraction, or negatively [Lewis] |
| 8904 | The Way of Abstraction says an incomplete description of a concrete entity is the complete abstraction [Lewis] |
| 8938 | The Way of Example compares donkeys and numbers, but what is the difference, and what are numbers? [Lewis] |
| 8903 | Abstracta can be causal: sets can be causes or effects; there can be universal effects; events may be sets [Lewis] |
| 8902 | If abstractions are non-spatial, then both sets and universals seem to have locations [Lewis] |
| 8905 | If universals or tropes are parts of things, then abstraction picks out those parts [Lewis] |
| 8906 | If we can abstract the extrinsic relations and features of objects, abstraction isn't universals or tropes [Lewis] |
| 8907 | The abstract direction of a line is the equivalence class of it and all lines parallel to it [Lewis] |
| 8908 | For most sets, the concept of equivalence is too artificial to explain abstraction [Lewis] |
| 16289 | We can't account for an abstraction as 'from' something if the something doesn't exist [Lewis] |
| 16278 | A particular functional role is what gives content to a thought [Lewis] |
| 9654 | A proposition is a set of entire possible worlds which instantiate a particular property [Lewis] |
| 15736 | A proposition is the property of being a possible world where it holds true [Lewis] |
| 15738 | Propositions can't have syntactic structure if they are just sets of worlds [Lewis] |
| 7903 | The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna] |
| 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] |
| 9659 | Causation is when at the closest world without the cause, there is no effect either [Lewis] |
| 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] |
| 9666 | It is quite implausible that the future is unreal, as that would terminate everything [Lewis] |