78 ideas
| 21887 | Derrida focuses on other philosophers, rather than on science [Derrida] |
| 21888 | Philosophy is just a linguistic display [Derrida] |
| 21896 | Philosophy aims to build foundations for thought [Derrida, by May] |
| 21893 | Philosophy is necessarily metaphorical, and its writing is aesthetic [Derrida] |
| 21892 | Interpretations can be interpreted, so there is no original 'meaning' available [Derrida] |
| 20925 | Hermeneutics blunts truth, by conforming it to the interpreter [Derrida, by Zimmermann,J] |
| 20934 | Hermeneutics is hostile, trying to overcome the other person's difference [Derrida, by Zimmermann,J] |
| 21895 | Structuralism destroys awareness of dynamic meaning [Derrida] |
| 21934 | The idea of being as persistent presence, and meaning as conscious intelligibility, are self-destructive [Derrida, by Glendinning] |
| 21883 | Sincerity can't be verified, so fiction infuses speech, and hence reality also [Derrida] |
| 21882 | Sentences are contradictory, as they have opposite meanings in some contexts [Derrida] |
| 21881 | We aim to explore the limits of expression (as in Mallarmé's poetry) [Derrida] |
| 18137 | Impredicative definitions are wrong, because they change the set that is being defined? [Bostock] |
| 4756 | Derrida says that all truth-talk is merely metaphor [Derrida, by Engel] |
| 21877 | True thoughts are inaccessible, in the subconscious, prior to speech or writing [Derrida] |
| 18122 | Classical interdefinitions of logical constants and quantifiers is impossible in intuitionism [Bostock] |
| 18114 | There is no single agreed structure for set theory [Bostock] |
| 18107 | A 'proper class' cannot be a member of anything [Bostock] |
| 18115 | We could add axioms to make sets either as small or as large as possible [Bostock] |
| 18139 | The Axiom of Choice relies on reference to sets that we are unable to describe [Bostock] |
| 18105 | Replacement enforces a 'limitation of size' test for the existence of sets [Bostock] |
| 18151 | Could we replace sets by the open sentences that define them? [Chihara, by Bostock] |
| 18109 | The completeness of first-order logic implies its compactness [Bostock] |
| 18108 | First-order logic is not decidable: there is no test of whether any formula is valid [Bostock] |
| 21878 | Names have a subjective aspect, especially the role of our own name [Derrida] |
| 21889 | 'I' is the perfect name, because it denotes without description [Derrida] |
| 21879 | Even Kripke can't explain names; the word is the thing, and the thing is the word [Derrida] |
| 18123 | Substitutional quantification is just standard if all objects in the domain have a name [Bostock] |
| 18120 | The Deduction Theorem is what licenses a system of natural deduction [Bostock] |
| 18125 | Berry's Paradox considers the meaning of 'The least number not named by this name' [Bostock] |
| 18100 | ω + 1 is a new ordinal, but its cardinality is unchanged [Bostock] |
| 18101 | Each addition changes the ordinality but not the cardinality, prior to aleph-1 [Bostock] |
| 18102 | A cardinal is the earliest ordinal that has that number of predecessors [Bostock] |
| 18106 | Aleph-1 is the first ordinal that exceeds aleph-0 [Bostock] |
| 18095 | Instead of by cuts or series convergence, real numbers could be defined by axioms [Bostock] |
| 18099 | The number of reals is the number of subsets of the natural numbers [Bostock] |
| 18093 | For Eudoxus cuts in rationals are unique, but not every cut makes a real number [Bostock] |
| 18110 | Infinitesimals are not actually contradictory, because they can be non-standard real numbers [Bostock] |
| 18156 | Modern axioms of geometry do not need the real numbers [Bostock] |
| 18097 | The Peano Axioms describe a unique structure [Bostock] |
| 18149 | There are many criteria for the identity of numbers [Bostock] |
| 18148 | Hume's Principle is a definition with existential claims, and won't explain numbers [Bostock] |
| 18145 | Many things will satisfy Hume's Principle, so there are many interpretations of it [Bostock] |
| 18143 | Frege makes numbers sets to solve the Caesar problem, but maybe Caesar is a set! [Bostock] |
| 18116 | Numbers can't be positions, if nothing decides what position a given number has [Bostock] |
| 18117 | Structuralism falsely assumes relations to other numbers are numbers' only properties [Bostock] |
| 18141 | Nominalism about mathematics is either reductionist, or fictionalist [Bostock] |
| 18157 | Nominalism as based on application of numbers is no good, because there are too many applications [Bostock] |
| 18150 | Actual measurement could never require the precision of the real numbers [Bostock] |
| 18158 | Ordinals are mainly used adjectively, as in 'the first', 'the second'... [Bostock] |
| 18127 | Simple type theory has 'levels', but ramified type theory has 'orders' [Bostock] |
| 18144 | Neo-logicists agree that HP introduces number, but also claim that it suffices for the job [Bostock] |
| 18147 | Neo-logicists meet the Caesar problem by saying Hume's Principle is unique to number [Bostock] |
| 18111 | Treating numbers as objects doesn't seem like logic, since arithmetic fixes their totality [Bostock] |
| 18129 | Many crucial logicist definitions are in fact impredicative [Bostock] |
| 18146 | If Hume's Principle is the whole story, that implies structuralism [Bostock] |
| 18159 | Higher cardinalities in sets are just fairy stories [Bostock] |
| 18155 | A fairy tale may give predictions, but only a true theory can give explanations [Bostock] |
| 18140 | The best version of conceptualism is predicativism [Bostock] |
| 18138 | Conceptualism fails to grasp mathematical properties, infinity, and objective truth values [Bostock] |
| 18133 | The usual definitions of identity and of natural numbers are impredicative [Bostock] |
| 18131 | If abstracta only exist if they are expressible, there can only be denumerably many of them [Bostock] |
| 18134 | Predicativism makes theories of huge cardinals impossible [Bostock] |
| 18135 | If mathematics rests on science, predicativism may be the best approach [Bostock] |
| 18136 | If we can only think of what we can describe, predicativism may be implied [Bostock] |
| 18132 | The predicativity restriction makes a difference with the real numbers [Bostock] |
| 21890 | Heidegger showed that passing time is the key to consciousness [Derrida] |
| 21880 | 'Tacit theory' controls our thinking (which is why Freud is important) [Derrida] |
| 21894 | Madness and instability ('the demonic hyperbole') lurks in all language [Derrida] |
| 21886 | Meanings depend on differences and contrasts [Derrida] |
| 21930 | For Aristotle all proper nouns must have a single sense, which is the purpose of language [Derrida] |
| 21884 | Capacity for repetitions is the hallmark of language [Derrida] |
| 21935 | The sign is only conceivable as a movement between elusive presences [Derrida] |
| 21933 | Writing functions even if the sender or the receiver are absent [Derrida, by Glendinning] |
| 21931 | 'Dissemination' is opposed to polysemia, since that is irreducible, because of multiple understandings [Derrida, by Glendinning] |
| 21885 | Words exist in 'spacing', so meanings are never synchronic except in writing [Derrida] |
| 18121 | In logic a proposition means the same when it is and when it is not asserted [Bostock] |
| 21891 | The good is implicitly violent (against evil), so there is no pure good [Derrida] |