105 ideas
15586 | When philosophy makes itself intelligible, it commits suicide [Heidegger] |
15585 | Later Heidegger sees philosophy as more like poetry than like science [Heidegger, by Polt] |
15582 | Perhaps the aim of philosophy is to abolish sham problems [Heidegger] |
18835 | Logic doesn't have a metaphysical basis, but nor can logic give rise to the metaphysics [Rumfitt] |
22223 | Being-in-the-world is projection to possibilities, thrownness among them, and fallenness within them [Heidegger, by Caputo] |
22158 | Pheomenology seeks things themselves, without empty theories, problems and concepts [Heidegger] |
15574 | 'Logos' really means 'making something manifest' [Heidegger, by Polt] |
21953 | For Heidegger there is 'ontic' truth or 'uncoveredness', as in "he is a true friend" [Heidegger, by Wrathall] |
18819 | The idea that there are unrecognised truths is basic to our concept of truth [Rumfitt] |
15569 | Heidegger says truth is historical, and never absolute [Heidegger, by Polt] |
18826 | 'True at a possibility' means necessarily true if what is said had obtained [Rumfitt] |
18803 | Semantics for propositions: 1) validity preserves truth 2) non-contradition 3) bivalence 4) truth tables [Rumfitt] |
12204 | The logic of metaphysical necessity is S5 [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] |
11211 | If a sound conclusion comes from two errors that cancel out, the path of the argument must matter [Rumfitt] |
18815 | Logic is higher-order laws which can expand the range of any sort of deduction [Rumfitt] |
9390 | Logic guides thinking, but it isn't a substitute for it [Rumfitt] |
18804 | The case for classical logic rests on its rules, much more than on the Principle of Bivalence [Rumfitt] |
18805 | Classical logic rules cannot be proved, but various lines of attack can be repelled [Rumfitt] |
18827 | If truth-tables specify the connectives, classical logic must rely on Bivalence [Rumfitt] |
12195 | Soundness in argument varies with context, and may be achieved very informally indeed [Rumfitt] |
12199 | There is a modal element in consequence, in assessing reasoning from suppositions [Rumfitt] |
12201 | We reject deductions by bad consequence, so logical consequence can't be deduction [Rumfitt] |
18813 | Logical consequence is a relation that can extended into further statements [Rumfitt] |
18808 | Normal deduction presupposes the Cut Law [Rumfitt] |
15571 | The idea of an atemporal realm of validity is as implausible as medieval theology [Heidegger] |
18840 | When faced with vague statements, Bivalence is not a compelling principle [Rumfitt] |
12194 | Contradictions include 'This is red and not coloured', as well as the formal 'B and not-B' [Rumfitt] |
11212 | The sense of a connective comes from primitively obvious rules of inference [Rumfitt] |
11210 | Standardly 'and' and 'but' are held to have the same sense by having the same truth table [Rumfitt] |
18802 | In specifying a logical constant, use of that constant is quite unavoidable [Rumfitt] |
12198 | Geometrical axioms in logic are nowadays replaced by inference rules (which imply the logical truths) [Rumfitt] |
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] |
17462 | A single object must not be counted twice, which needs knowledge of distinctness (negative identity) [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] |
17461 | Some 'how many?' answers are not predications of a concept, like 'how many gallons?' [Rumfitt] |
21897 | Reducing being to the study of beings too readily accepts the modern scientific view [Heidegger, by May] |
15573 | For us, Being is constituted by awareness of other sorts of Being [Heidegger] |
9273 | Heidegger turns to 'Being' to affirm the uniqueness of humans in the world [Heidegger, by Gray] |
22157 | Dasein is a mode of Being distinguished by concern for its own Being [Heidegger] |
8137 | Dasein is ahead of itself in the world, and alongside encountered entities [Heidegger] |
21951 | In company with others one's Dasein dissolves, and even the others themselves dissolve [Heidegger] |
20745 | 'Dasein' expresses not 'what' the entity is, but its being [Heidegger] |
8134 | The word 'dasein' is used to mean 'the manner of Being which man possesses', and also the human creature [Heidegger, by Cooper,DE] |
8135 | 'Dasein' is Being which is laid claim to, and which matters to its owner [Heidegger, by Cooper,DE] |
21948 | Dasein is being which can understand itself, and possess itself in a way allowing authenticity [Heidegger] |
15584 | I say the manifestation of Being needs humans, and humans only exist as reflected in Being [Heidegger] |
7680 | Ontology is possible only as phenomenology [Heidegger] |
22161 | Readiness-to-hand defines things in themselves ontologically [Heidegger] |
9389 | Vague membership of sets is possible if the set is defined by its concept, not its members [Rumfitt] |
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] |
15576 | Heidegger seeks a non-traditional concept of essence as 'essential unfolding' [Heidegger, by Polt] |
14532 | A distinctive type of necessity is found in logical consequence [Rumfitt, by Hale/Hoffmann,A] |
18816 | Metaphysical modalities respect the actual identities of things [Rumfitt] |
12193 | Logical necessity is when 'necessarily A' implies 'not-A is contradictory' [Rumfitt] |
12200 | A logically necessary statement need not be a priori, as it could be unknowable [Rumfitt] |
18825 | S5 is the logic of logical necessity [Rumfitt] |
12202 | Narrow non-modal logical necessity may be metaphysical, but real logical necessity is not [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] |
12203 | If a world is a fully determinate way things could have been, can anyone consider such a thing? [Rumfitt] |
18821 | Possibilities are like possible worlds, but not fully determinate or complete [Rumfitt] |
15578 | Propositions don't provide understanding, because the understanding must come first [Heidegger, by Polt] |
18831 | Medieval logicians said understanding A also involved understanding not-A [Rumfitt] |
22159 | If we posit 'I' as the starting point, we miss the mind's phenomenal content [Heidegger] |
22160 | Our relationship to a hammer strengthens when we use [Heidegger] |
15580 | There are no raw sense-data - our experiences are of the sound or colour of something [Heidegger] |
20749 | Perceived objects always appear in a context [Heidegger] |
18820 | In English 'evidence' is a mass term, qualified by 'little' and 'more' [Rumfitt] |
22163 | The scandal of philosophy is expecting to prove reality when the prover's Being is vague [Heidegger] |
21949 | Having thoughts and feelings need engagement in the world [Heidegger, by Wrathall] |
5987 | Alcmaeon was the first to say the brain is central to thinking [Alcmaeon, by Staden, von] |
22222 | Dasein finds itself already amongst others [Heidegger, by Caputo] |
8136 | If we work and play with other people, they are bound to be 'Dasein', intelligent agents [Heidegger, by Cooper,DE] |
22164 | When Dasein grasps something it exists externally alongside the thing [Heidegger] |
15579 | My active existence is defined by being able to say 'I can' [Heidegger] |
15583 | Certainty that I will die is more basic to my existence than the Cogito [Heidegger] |
22162 | There is an everyday self, and an authentic self, when it is grasped in its own way [Heidegger] |
20114 | Everyone is other, and no one is himself [Heidegger] |
15577 | Moods are more fundamentally revealing than theories - as when fear reveals a threat [Heidegger, by Polt] |
18817 | We understand conditionals, but disagree over their truth-conditions [Rumfitt] |
18829 | The truth grounds for 'not A' are the possibilities incompatible with truth grounds for A [Rumfitt] |
11214 | We learn 'not' along with affirmation, by learning to either affirm or deny a sentence [Rumfitt] |
20748 | We do not add value to naked things; its involvement is disclosed in understanding it [Heidegger] |
22166 | Dasein has the potential to be itself, but must be shown this in the midst of ordinariness [Heidegger] |
22165 | Anxiety reveals the possibility and individuality of Dasein [Heidegger] |
21952 | Anxiety about death frees me to live my own life [Heidegger, by Wrathall] |
22224 | Anxiety is the uncanniness felt when constantly fleeing from asserting one's own freedom [Heidegger, by Caputo] |
20767 | Culture is now dominated by boredom, so universal it is unnoticed [Heidegger, by Aho] |
15572 | Being what it is (essentia) must be conceived in terms of Being (existence) [Heidegger] |
20453 | Heidegger says we must either choose an inauthentic hero, or choose yourself as hero [Heidegger, by Critchley] |
15581 | Dasein is always only that which it has chosen to be [Heidegger] |
24043 | Soul must be immortal, since it continually moves, like the heavens [Alcmaeon, by Aristotle] |