56 ideas
22309 | An idea can only be like another idea [Berkeley] |
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] |
10777 | Skolem mistakenly inferred that Cantor's conceptions were illusory [Tharp] |
10773 | The Löwenheim-Skolem property is a limitation (e.g. can't say there are uncountably many reals) [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] |
6717 | Abstract ideas are impossible [Berkeley] |
18876 | Berkeley does believe in trees, but is confused about what trees are [Berkeley, by Cameron] |
6715 | Universals do not have single meaning, but attach to many different particulars [Berkeley] |
6719 | No one will think of abstractions if they only have particular ideas [Berkeley] |
6714 | Universals do not have any intrinsic properties, but only relations to particulars [Berkeley] |
6729 | Material substance is just general existence which can have properties [Berkeley] |
16636 | A die has no distinct subject, but is merely a name for its modes or accidents [Berkeley] |
15377 | Definite descriptions pick out different objects in different possible worlds [Fitting] |
6722 | Perception is existence for my table, but also possible perception, by me or a spirit [Berkeley] |
6724 | The only substance is spirit, or that which perceives [Berkeley] |
6723 | The 'esse' of objects is 'percipi', and they can only exist in minds [Berkeley] |
6732 | When I shut my eyes, the things I saw may still exist, but in another mind [Berkeley] |
6726 | No one can, by abstraction, conceive extension and motion of bodies without sensible qualities [Berkeley] |
6728 | Motion is in the mind, since swifter ideas produce an appearance of slower motion [Berkeley] |
6727 | Figure and extension seem just as dependent on the observer as heat and cold [Berkeley] |
6495 | Berkeley's idealism resulted from fear of scepticism in representative realism [Robinson,H on Berkeley] |
6720 | Knowledge is of ideas from senses, or ideas of the mind, or operations on sensations [Berkeley] |
23636 | Berkeley's idealism gives no grounds for believing in other minds [Reid on Berkeley] |
6736 | I know other minds by ideas which are referred by me to other agents, as their effects [Berkeley] |
6713 | If animals have ideas, and are not machines, they must have some reason [Berkeley] |
6491 | Berkeley replaced intentionality with an anti-abstractionist imagist theory of thought [Berkeley, by Robinson,H] |
6711 | The mind creates abstract ideas by considering qualities separated from their objects [Berkeley] |
10581 | I can only combine particulars in imagination; I can't create 'abstract' ideas [Berkeley] |
6721 | Ideas are perceived by the mind, soul or self [Berkeley] |
6716 | Language is presumably for communication, and names stand for ideas [Berkeley] |
6718 | I can't really go wrong if I stick to wordless thought [Berkeley] |
6731 | No one can explain how matter affects mind, so matter is redundant in philosophy [Berkeley] |
6730 | We discover natural behaviour by observing settled laws of nature, not necessary connections [Berkeley] |
15861 | The laws of nature are mental regularities which we learn by experience [Berkeley] |
6734 | If properties and qualities arise from an inward essence, we will remain ignorant of nature [Berkeley] |
6735 | All motion is relative, so a single body cannot move [Berkeley] |
6733 | I cannot imagine time apart from the flow of ideas in my mind [Berkeley] |
6737 | Particular evils are really good when linked to the whole system of beings [Berkeley] |