70 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] |
| 8721 | An 'impredicative' definition seems circular, because it uses the term being defined [Friend] |
| 8680 | Classical definitions attempt to refer, but intuitionist/constructivist definitions actually create objects [Friend] |
| 3678 | Reductio ad absurdum proves an idea by showing that its denial produces contradiction [Friend] |
| 8705 | Anti-realists see truth as our servant, and epistemically contrained [Friend] |
| 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] |
| 8713 | In classical/realist logic the connectives are defined by truth-tables [Friend] |
| 8708 | Double negation elimination is not valid in intuitionist logic [Friend] |
| 8694 | Free logic was developed for fictional or non-existent objects [Friend] |
| 8665 | A 'proper subset' of A contains only members of A, but not all of them [Friend] |
| 8672 | A 'powerset' is all the subsets of a set [Friend] |
| 8677 | Set theory makes a minimum ontological claim, that the empty set exists [Friend] |
| 8666 | Infinite sets correspond one-to-one with a subset [Friend] |
| 8682 | Major set theories differ in their axioms, and also over the additional axioms of choice and infinity [Friend] |
| 8709 | The law of excluded middle is syntactic; it just says A or not-A, not whether they are true or false [Friend] |
| 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] |
| 8711 | Intuitionists read the universal quantifier as "we have a procedure for checking every..." [Friend] |
| 8675 | Paradoxes can be solved by talking more loosely of 'classes' instead of 'sets' [Friend] |
| 8674 | The Burali-Forti paradox asks whether the set of all ordinals is itself an ordinal [Friend] |
| 8667 | The 'integers' are the positive and negative natural numbers, plus zero [Friend] |
| 8668 | The 'rational' numbers are those representable as fractions [Friend] |
| 8670 | A number is 'irrational' if it cannot be represented as a fraction [Friend] |
| 8661 | The natural numbers are primitive, and the ordinals are up one level of abstraction [Friend] |
| 8664 | Cardinal numbers answer 'how many?', with the order being irrelevant [Friend] |
| 8671 | The 'real' numbers (rationals and irrationals combined) is the Continuum, which has no gaps [Friend] |
| 8663 | Raising omega to successive powers of omega reveal an infinity of infinities [Friend] |
| 8662 | The first limit ordinal is omega (greater, but without predecessor), and the second is twice-omega [Friend] |
| 8669 | Between any two rational numbers there is an infinite number of rational numbers [Friend] |
| 8676 | Is mathematics based on sets, types, categories, models or topology? [Friend] |
| 8678 | Most mathematical theories can be translated into the language of set theory [Friend] |
| 8701 | The number 8 in isolation from the other numbers is of no interest [Friend] |
| 8702 | In structuralism the number 8 is not quite the same in different structures, only equivalent [Friend] |
| 8699 | Are structures 'ante rem' (before reality), or are they 'in re' (grounded in physics)? [Friend] |
| 8696 | Structuralist says maths concerns concepts about base objects, not base objects themselves [Friend] |
| 8695 | Structuralism focuses on relations, predicates and functions, with objects being inessential [Friend] |
| 8700 | 'In re' structuralism says that the process of abstraction is pattern-spotting [Friend] |
| 8681 | The big problem for platonists is epistemic: how do we perceive, intuit, know or detect mathematical facts? [Friend] |
| 8712 | Mathematics should be treated as true whenever it is indispensable to our best physical theory [Friend] |
| 8716 | Formalism is unconstrained, so cannot indicate importance, or directions for research [Friend] |
| 8706 | Constructivism rejects too much mathematics [Friend] |
| 8707 | Intuitionists typically retain bivalence but reject the law of excluded middle [Friend] |
| 8704 | Structuralists call a mathematical 'object' simply a 'place in a structure' [Friend] |
| 6019 | If someone squashed a horse to make a dog, something new would now exist [Mnesarchus] |
| 21890 | Heidegger showed that passing time is the key to consciousness [Derrida] |
| 8685 | Studying biology presumes the laws of chemistry, and it could never contradict them [Friend] |
| 21880 | 'Tacit theory' controls our thinking (which is why Freud is important) [Derrida] |
| 8688 | Concepts can be presented extensionally (as objects) or intensionally (as a characterization) [Friend] |
| 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] |
| 21891 | The good is implicitly violent (against evil), so there is no pure good [Derrida] |