57 ideas
15375 | If terms change their designations in different states, they are functions from states to objects [Fitting] |
15376 | Intensional logic adds a second type of quantification, over intensional objects, or individual concepts [Fitting] |
15378 | Awareness logic adds the restriction of an awareness function to epistemic logic [Fitting] |
15379 | Justication logics make explicit the reasons for mathematical truth in proofs [Fitting] |
10775 | The axiom of choice now seems acceptable and obvious (if it is meaningful) [Tharp] |
10766 | Logic is either for demonstration, or for characterizing structures [Tharp] |
10767 | Elementary logic is complete, but cannot capture mathematics [Tharp] |
10769 | Second-order logic isn't provable, but will express set-theory and classic problems [Tharp] |
11026 | Classical logic is deliberately extensional, in order to model mathematics [Fitting] |
10762 | In sentential logic there is a simple proof that all truth functions can be reduced to 'not' and 'and' [Tharp] |
11028 | λ-abstraction disambiguates the scope of modal operators [Fitting] |
10776 | The main quantifiers extend 'and' and 'or' to infinite domains [Tharp] |
10774 | There are at least five unorthodox quantifiers that could be used [Tharp] |
10773 | The Löwenheim-Skolem property is a limitation (e.g. can't say there are uncountably many reals) [Tharp] |
10777 | Skolem mistakenly inferred that Cantor's conceptions were illusory [Tharp] |
10765 | Soundness would seem to be an essential requirement of a proof procedure [Tharp] |
10763 | Completeness and compactness together give axiomatizability [Tharp] |
10770 | If completeness fails there is no algorithm to list the valid formulas [Tharp] |
10771 | Compactness is important for major theories which have infinitely many axioms [Tharp] |
10772 | Compactness blocks infinite expansion, and admits non-standard models [Tharp] |
10764 | A complete logic has an effective enumeration of the valid formulas [Tharp] |
10768 | Effective enumeration might be proved but not specified, so it won't guarantee knowledge [Tharp] |
15377 | Definite descriptions pick out different objects in different possible worlds [Fitting] |
20043 | Evolutionary explanations look to the past or the group, not to the individual [Stout,R] |
20058 | Not all explanation is causal. We don't explain a painting's beauty, or the irrationality of root-2, that way [Stout,R] |
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] |
20046 | For an ascetic a powerful desire for something is a reason not to implement it [Stout,R] |
20049 | Maybe your emotions arise from you motivations, rather than being their cause [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] |