58 ideas
9572 | Realists about sets say there exists a null set in the real world, with no members [Chihara] |
9550 | We only know relational facts about the empty set, but nothing intrinsic [Chihara] |
9562 | In simple type theory there is a hierarchy of null sets [Chihara] |
9573 | The null set is a structural position which has no other position in membership relation [Chihara] |
9551 | What is special about Bill Clinton's unit set, in comparison with all the others? [Chihara] |
9549 | The set theorist cannot tell us what 'membership' is [Chihara] |
9571 | ZFU refers to the physical world, when it talks of 'urelements' [Chihara] |
18151 | Could we replace sets by the open sentences that define them? [Chihara, by Bostock] |
9563 | A pack of wolves doesn't cease when one member dies [Chihara] |
8758 | We could talk of open sentences, instead of sets [Chihara, by Shapiro] |
9561 | The mathematics of relations is entirely covered by ordered pairs [Chihara] |
9552 | Sentences are consistent if they can all be true; for Frege it is that no contradiction can be deduced [Chihara] |
9553 | Analytic geometry gave space a mathematical structure, which could then have axioms [Chihara] |
10192 | We can replace existence of sets with possibility of constructing token sentences [Chihara, by MacBride] |
10265 | Chihara's system is a variant of type theory, from which he can translate sentences [Chihara, by Shapiro] |
8759 | We can replace type theory with open sentences and a constructibility quantifier [Chihara, by Shapiro] |
10264 | Introduce a constructibility quantifiers (Cx)Φ - 'it is possible to construct an x such that Φ' [Chihara, by Shapiro] |
9559 | If a successful theory confirms mathematics, presumably a failed theory disconfirms it? [Chihara] |
9566 | No scientific explanation would collapse if mathematical objects were shown not to exist [Chihara] |
20043 | Evolutionary explanations look to the past or the group, not to the individual [Stout,R] |
13165 | Geometrical proofs do not show causes, as when we prove a triangle contains two right angles [Proclus] |
20058 | Not all explanation is causal. We don't explain a painting's beauty, or the irrationality of root-2, that way [Stout,R] |
9569 | The origin of geometry started in sensation, then moved to calculation, and then to reason [Proclus] |
9568 | I prefer the open sentences of a Constructibility Theory, to Platonist ideas of 'equivalence classes' [Chihara] |
9547 | Mathematical entities are causally inert, so the causal theory of reference won't work for them [Chihara] |
20035 | Philosophy of action studies the nature of agency, and of deliberate actions [Stout,R] |
20084 | Agency is causal processes that are sensitive to justification [Stout,R] |
20061 | Mental states and actions need to be separate, if one is to cause the other [Stout,R] |
20079 | Are actions bodily movements, or a sequence of intention-movement-result? [Stout,R] |
20080 | If one action leads to another, does it cause it, or is it part of it? [Stout,R] |
20059 | I do actions, but not events, so actions are not events [Stout,R] |
20081 | Bicycle riding is not just bodily movement - you also have to be on the bicycle [Stout,R] |
20044 | The rationalistic approach says actions are intentional when subject to justification [Stout,R] |
20039 | The causal theory says that actions are intentional when intention (or belief-desire) causes the act [Stout,R] |
20047 | Deciding what to do usually involves consulting the world, not our own minds [Stout,R] |
20065 | Should we study intentions in their own right, or only as part of intentional action? [Stout,R] |
20067 | You can have incompatible desires, but your intentions really ought to be consistent [Stout,R] |
20078 | The normativity of intentions would be obvious if they were internal promises [Stout,R] |
20036 | Intentional agency is seen in internal precursors of action, and in external reasons for the act [Stout,R] |
20066 | Speech needs sustained intentions, but not prior intentions [Stout,R] |
20073 | Bratman has to treat shared intentions as interrelated individual intentions [Stout,R] |
20069 | A request to pass the salt shares an intention that the request be passed on [Stout,R] |
20070 | An individual cannot express the intention that a group do something like moving a piano [Stout,R] |
20071 | An intention is a goal to which behaviour is adapted, for an individual or for a group [Stout,R] |
20038 | If the action of walking is just an act of will, then movement of the legs seems irrelevant [Stout,R] |
20050 | Most philosophers see causation as by an event or state in the agent, rather than the whole agent [Stout,R] |
20052 | If you don't mention an agent, you aren't talking about action [Stout,R] |
20077 | If you can judge one act as best, then do another, this supports an inward-looking view of agency [Stout,R] |
20049 | Maybe your emotions arise from you motivations, rather than being their cause [Stout,R] |
20046 | For an ascetic a powerful desire for something is a reason not to implement it [Stout,R] |
20060 | Beliefs, desires and intentions are not events, so can't figure in causal relations [Stout,R] |
20055 | A standard view says that the explanation of an action is showing its rational justification [Stout,R] |
20056 | In order to be causal, an agent's reasons must be internalised as psychological states [Stout,R] |
20053 | An action is only yours if you produce it, rather than some state or event within you [Stout,R] |
20048 | There may be a justification relative to a person's view, and yet no absolute justification [Stout,R] |
20068 | Describing a death as a side-effect rather than a goal may just be good public relations [Stout,R] |
20083 | Aristotelian causation involves potentiality inputs into processes (rather than a pair of events) [Stout,R] |
9574 | 'Gunk' is an individual possessing no parts that are atoms [Chihara] |