74 ideas
| 18835 | Logic doesn't have a metaphysical basis, but nor can logic give rise to the metaphysics [Rumfitt] |
| 5831 | The new view is that "water" is a name, and has no definition [Schwartz,SP] |
| 18819 | The idea that there are unrecognised truths is basic to our concept of truth [Rumfitt] |
| 18826 | 'True at a possibility' means necessarily true if what is said had obtained [Rumfitt] |
| 22309 | An idea can only be like another idea [Berkeley] |
| 18803 | Semantics for propositions: 1) validity preserves truth 2) non-contradition 3) bivalence 4) truth tables [Rumfitt] |
| 18814 | 'Absolute necessity' would have to rest on S5 [Rumfitt] |
| 18798 | It is the second-order part of intuitionistic logic which actually negates some classical theorems [Rumfitt] |
| 18799 | Intuitionists can accept Double Negation Elimination for decidable propositions [Rumfitt] |
| 18830 | Most set theorists doubt bivalence for the Continuum Hypothesis, but still use classical logic [Rumfitt] |
| 18843 | The iterated conception of set requires continual increase in axiom strength [Rumfitt] |
| 18836 | A set may well not consist of its members; the empty set, for example, is a problem [Rumfitt] |
| 18837 | A set can be determinate, because of its concept, and still have vague membership [Rumfitt] |
| 18845 | If the totality of sets is not well-defined, there must be doubt about the Power Set Axiom [Rumfitt] |
| 18815 | Logic is higher-order laws which can expand the range of any sort of deduction [Rumfitt] |
| 18805 | Classical logic rules cannot be proved, but various lines of attack can be repelled [Rumfitt] |
| 18804 | The case for classical logic rests on its rules, much more than on the Principle of Bivalence [Rumfitt] |
| 18827 | If truth-tables specify the connectives, classical logic must rely on Bivalence [Rumfitt] |
| 18813 | Logical consequence is a relation that can extended into further statements [Rumfitt] |
| 18808 | Normal deduction presupposes the Cut Law [Rumfitt] |
| 18840 | When faced with vague statements, Bivalence is not a compelling principle [Rumfitt] |
| 18802 | In specifying a logical constant, use of that constant is quite unavoidable [Rumfitt] |
| 5829 | We refer to Thales successfully by name, even if all descriptions of him are false [Schwartz,SP] |
| 5830 | The traditional theory of names says some of the descriptions must be correct [Schwartz,SP] |
| 18800 | Introduction rules give deduction conditions, and Elimination says what can be deduced [Rumfitt] |
| 18809 | Logical truths are just the assumption-free by-products of logical rules [Rumfitt] |
| 18807 | Monotonicity means there is a guarantee, rather than mere inductive support [Rumfitt] |
| 18842 | Maybe an ordinal is a property of isomorphic well-ordered sets, and not itself a set [Rumfitt] |
| 18834 | Infinitesimals do not stand in a determinate order relation to zero [Rumfitt] |
| 18846 | Cantor and Dedekind aimed to give analysis a foundation in set theory (rather than geometry) [Rumfitt] |
| 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] |
| 18839 | An object that is not clearly red or orange can still be red-or-orange, which sweeps up problem cases [Rumfitt] |
| 18838 | The extension of a colour is decided by a concept's place in a network of contraries [Rumfitt] |
| 18816 | Metaphysical modalities respect the actual identities of things [Rumfitt] |
| 18825 | S5 is the logic of logical necessity [Rumfitt] |
| 18824 | Since possibilities are properties of the world, calling 'red' the determination of a determinable seems right [Rumfitt] |
| 18828 | If two possibilities can't share a determiner, they are incompatible [Rumfitt] |
| 18821 | Possibilities are like possible worlds, but not fully determinate or complete [Rumfitt] |
| 18831 | Medieval logicians said understanding A also involved understanding not-A [Rumfitt] |
| 6722 | Perception is existence for my table, but also possible perception, by me or a spirit [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] |
| 6724 | The only substance is spirit, or that which perceives [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] |
| 18820 | In English 'evidence' is a mass term, qualified by 'little' and 'more' [Rumfitt] |
| 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] |
| 5826 | The intension of "lemon" is the conjunction of properties associated with it [Schwartz,SP] |
| 6716 | Language is presumably for communication, and names stand for ideas [Berkeley] |
| 18817 | We understand conditionals, but disagree over their truth-conditions [Rumfitt] |
| 6718 | I can't really go wrong if I stick to wordless thought [Berkeley] |
| 18829 | The truth grounds for 'not A' are the possibilities incompatible with truth grounds for A [Rumfitt] |
| 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] |