35 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] |
10687 | Maybe we reduce sets to ordinals, rather than the other way round [Hossack] |
10677 | Extensional mereology needs two definitions and two axioms [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] |
10669 | Plural reference is just an abbreviation when properties are distributive, but not otherwise [Hossack] |
10675 | A plural comprehension principle says there are some things one of which meets some condition [Hossack] |
10673 | Plural language can discuss without inconsistency things that are not members of themselves [Hossack] |
10680 | The theory of the transfinite needs the ordinal numbers [Hossack] |
10684 | I take the real numbers to be just lengths [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] |
10668 | We are committed to a 'group' of children, if they are sitting in a circle [Hossack] |
12699 | A body would be endless disunited parts, if it did not have a unifying form or soul [Leibniz] |
12700 | Form or soul gives unity and duration; matter gives multiplicity and change [Leibniz] |
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] |
12736 | If we understand God and his choices, we have a priori knowledge of contingent truths [Leibniz, by Garber] |
2181 | It is an absurd Kantian idea that at the limit rationality and freedom coincide [Williams,B] |
2176 | There is only a problem of free will if you think the notion of 'voluntary' can be metaphysically deepened [Williams,B] |
12698 | Every body contains a kind of sense and appetite, or a soul [Leibniz] |
10663 | A thought can refer to many things, but only predicate a universal and affirm a state of affairs [Hossack] |
4317 | We judge weakness of will by an assessment after the event is concluded [Williams,B, by Cottingham] |
2174 | Responsibility involves cause, intention, state of mind, and response after the event [Williams,B] |
2178 | In bad actions, guilt points towards victims, and shame to the agent [Williams,B] |
2169 | Greek moral progress came when 'virtue' was freed from social status [Williams,B] |
2172 | The modern idea of duty is unknown in archaic Greece [Williams,B] |
2179 | If the moral self is seen as characterless, then other people have a very limited role in our moral lives [Williams,B] |
2180 | If reason cannot lead people to good, we must hope they have an internal voice [Williams,B] |
10683 | We could ignore space, and just talk of the shape of matter [Hossack] |
2175 | There is a problem of evil only if you expect the world to be good [Williams,B] |