97 ideas
10676 | The Axiom of Choice is a non-logical principle of set-theory [Hossack] |
10686 | The Axiom of Choice guarantees a one-one correspondence from sets to ordinals [Hossack] |
23623 | Predicativism says only predicated sets exist [Hossack] |
23624 | The iterative conception has to appropriate Replacement, to justify the ordinals [Hossack] |
23625 | Limitation of Size justifies Replacement, but then has to appropriate Power Set [Hossack] |
10687 | Maybe we reduce sets to ordinals, rather than the other way round [Hossack] |
10677 | Extensional mereology needs two definitions and two axioms [Hossack] |
23628 | The connective 'and' can have an order-sensitive meaning, as 'and then' [Hossack] |
23627 | 'Before' and 'after' are not two relations, but one relation with two orders [Hossack] |
10671 | Plural definite descriptions pick out the largest class of things that fit the description [Hossack] |
10666 | Plural reference will refer to complex facts without postulating complex things [Hossack] |
10675 | A plural comprehension principle says there are some things one of which meets some condition [Hossack] |
10669 | Plural reference is just an abbreviation when properties are distributive, but not otherwise [Hossack] |
6007 | If you know your father, but don't recognise your father veiled, you know and don't know the same person [Eubulides, by Dancy,R] |
10673 | Plural language can discuss without inconsistency things that are not members of themselves [Hossack] |
6006 | If you say truly that you are lying, you are lying [Eubulides, by Dancy,R] |
6008 | Removing one grain doesn't destroy a heap, so a heap can't be destroyed [Eubulides, by Dancy,R] |
10680 | The theory of the transfinite needs the ordinal numbers [Hossack] |
10684 | I take the real numbers to be just lengths [Hossack] |
23626 | Transfinite ordinals are needed in proof theory, and for recursive functions and computability [Hossack] |
10674 | A plural language gives a single comprehensive induction axiom for arithmetic [Hossack] |
10681 | In arithmetic singularists need sets as the instantiator of numeric properties [Hossack] |
10685 | Set theory is the science of infinity [Hossack] |
23621 | Numbers are properties, not sets (because numbers are magnitudes) [Hossack] |
23622 | We can only mentally construct potential infinities, but maths needs actual infinities [Hossack] |
10668 | We are committed to a 'group' of children, if they are sitting in a circle [Hossack] |
10664 | Complex particulars are either masses, or composites, or sets [Hossack] |
10678 | The relation of composition is indispensable to the part-whole relation for individuals [Hossack] |
10665 | Leibniz's Law argues against atomism - water is wet, unlike water molecules [Hossack] |
10682 | The fusion of five rectangles can decompose into more than five parts that are rectangles [Hossack] |
20146 | 'Luck' is the unpredictable and inexplicable intersection of causal chains [Kekes] |
23101 | Intuitions don't prove things; they just receptivity to interpretations [Kekes] |
10663 | A thought can refer to many things, but only predicate a universal and affirm a state of affairs [Hossack] |
20169 | An action may be intended under one description, but not under another [Kekes] |
20149 | To control our actions better, make them result from our attitudes, not from circumstances [Kekes] |
23086 | Liberals say we are only responsible for fully autonomous actions [Kekes] |
23100 | Collective responsibility conflicts with responsibility's requirement of authonomy [Kekes] |
19738 | Values are an attempt to achieve well-being by bringing contingencies under control [Kekes] |
20145 | Values help us to control life, by connecting it to what is stable and manageable [Kekes] |
23096 | Morality should aim to prevent all evil actions, not just autonomous ones [Kekes] |
23095 | Why should moral responsibility depend on autonomy, rather than social role or experience? [Kekes] |
23087 | Much human evil is not autonomous, so moral responsibility need not be autonomous [Kekes] |
23089 | Evil people may not be autonomously aware, if they misjudge the situation [Kekes] |
23093 | Moral and causal responsibility are not clearly distinct [Kekes] |
23098 | Effects show the existence of moral responsibility, and mental states show the degree [Kekes] |
20170 | Responsibility is unprovoked foreseeable harm, against society, arising from vicious character [Kekes] |
23094 | Ought implies can means moral responsibility needs autonomy [Kekes] |
20165 | Reason and morality do not coincide; immorality can be reasonable, with an ideology [Kekes] |
20171 | Practical reason is not universal and impersonal, because it depends on what success is [Kekes] |
20175 | If morality has to be rational, then moral conflicts need us to be irrational and immoral [Kekes] |
23090 | Liberals assume people are naturally free, equal, rational, and morally good [Kekes] |
20174 | Relativists say all values are relative; pluralists concede much of that, but not 'human' values [Kekes] |
20158 | Innumerable values arise for us, from our humanity, our culture, and our individuality [Kekes] |
20159 | Cultural values are interpretations of humanity, conduct, institutions, and evaluations [Kekes] |
20161 | The big value problems are evil (humanity), disenchantment (cultures), and boredom (individuals) [Kekes] |
20156 | We are bound to regret some values we never aspired to [Kekes] |
20150 | There are far more values than we can pursue, so they are optional possibilities [Kekes] |
20151 | Our attitudes include what possibilities we value, and also what is allowable, and unthinkable [Kekes] |
20152 | Unconditional commitments are our most basic convictions, saying what must never be done [Kekes] |
20153 | Doing the unthinkable damages ourselves, so it is more basic than any value [Kekes] |
23117 | Love should be partial, and discriminate in favour of its object [Kekes] |
23119 | Sentimental love distorts its object [Kekes] |
23088 | Evil is not deviation from the good, any more than good is a deviation from evil [Kekes] |
20162 | Evil isn't explained by nature, by monsters, by uncharacteristic actions, or by society [Kekes] |
23097 | What matters for morality is the effects of action, not the psychological causes [Kekes] |
20154 | Control is the key to well-being [Kekes] |
20157 | Well-being needs correct attitudes and well-ordered commitments to local values [Kekes] |
23099 | It is said that if an agent is not autonomous then their evil actions don't reflect on their character [Kekes] |
23118 | Awareness of others' suffering doesn't create an obligation to help [Kekes] |
20172 | Boredom destroys our ability to evaluate [Kekes] |
20173 | Boredom is apathy and restlessness, yearning for something interesting [Kekes] |
20155 | Society is alienating if it lacks our values, and its values repel us [Kekes] |
23109 | The veil of ignorance is only needed because people have bad motivations [Kekes] |
23114 | The chief function of the state is to arbitrate between contending visions of the good life [Kekes] |
20164 | The ideal of an ideology is embodied in a text, a role model, a law of history, a dream of the past... [Kekes] |
20163 | Ideologies have beliefs about reality, ideals, a gap with actuality, and a program [Kekes] |
23116 | Citizenship is easier than parenthood [Kekes] |
23103 | Power is meant to be confined to representatives, and subsequent delegation [Kekes] |
23107 | Prosperity is a higher social virtue than justice [Kekes] |
23081 | Liberal basics are pluralism, freedom, rights, equality, and distributive justice - for autonomy [Kekes] |
23085 | The key liberal values are explained by the one core value, which is autonomy [Kekes] |
23092 | Agents have little control over the capacities needed for liberal autonomy [Kekes] |
23102 | Liberals are egalitarians, but in varying degrees [Kekes] |
23084 | Are egalitarians too coercive, or not egalitarian enough, or lax over morality? [Kekes] |
23079 | Liberal justice ignores desert, which is the essence of justice [Kekes] |
23091 | Why do liberals not see a much wider range of values as basic? [Kekes] |
23112 | Liberals ignore contingency, and think people are good and equal, and institutions cause evil [Kekes] |
23082 | Liberal distribution cares more about recipients than donors [Kekes] |
23106 | To rectify the undeserved equality, we should give men longer and women shorter lives [Kekes] |
23121 | It is just a fact that some people are morally better than others [Kekes] |
23120 | The problem is basic insufficiency of resources, not their inequality [Kekes] |
20148 | Equal distribution is no good in a shortage, because there might be no one satisfied [Kekes] |
23105 | It is not deplorable that billionaires have more than millionaires [Kekes] |
23108 | Justice combines consistency and desert; treat likes alike, judging likeness by desert [Kekes] |
23083 | Liberal welfare focuses on need rather than desert [Kekes] |
23113 | Sexual morality doesn't require monogamy, but it needs a group of sensible regulations [Kekes] |
10683 | We could ignore space, and just talk of the shape of matter [Hossack] |