74 ideas
19073 | True philosophy aims at absolute unity, while our understanding sees only separation [Hegel] |
15624 | Free thinking has no presuppositions [Hegel] |
15631 | The ideal of reason is the unification of abstract identity (or 'concept') and being [Hegel] |
15612 | Older metaphysics naively assumed that thought grasped things in themselves [Hegel] |
21768 | Logic is metaphysics, the science of things grasped in thoughts [Hegel] |
21984 | We must break up the rigidity that our understanding has imposed [Hegel] |
22081 | Let thought follow its own course, and don't interfere [Hegel] |
15626 | Categories create objective experience, but are too conditioned by things to actually grasp them [Hegel] |
15616 | If truth is just non-contradiction, we must take care that our basic concepts aren't contradictory [Hegel] |
15615 | Older metaphysics became dogmatic, by assuming opposed assertions must be true and false [Hegel] |
21767 | Dialectic is seen in popular proverbs like 'pride comes before a fall' [Hegel] |
15639 | Socratic dialectic is subjective, but Plato made it freely scientific and objective [Hegel] |
15638 | Dialectic is the moving soul of scientific progression, the principle which binds science together [Hegel] |
9847 | A contextual definition permits the elimination of the expression by a substitution [Dummett] |
19070 | Superficial truth is knowing how something is, which is consciousness of bare correctness [Hegel] |
5644 | In Hegel's logic it is concepts (rather than judgements or propositions) which are true or false [Hegel, by Scruton] |
19072 | In the deeper sense of truth, to be untrue resembles being bad; badness is untrue to a thing's nature [Hegel] |
19071 | The deeper sense of truth is a thing matching the idea of what it ought to be [Hegel] |
9820 | In classical logic, logical truths are valid formulas; in higher-order logics they are purely logical [Dummett] |
21595 | Excluded middle is the maxim of definite understanding, but just produces contradictions [Hegel] |
15628 | The idea that contradiction is essential to rational understanding is a key modern idea [Hegel] |
15629 | Tenderness for the world solves the antinomies; contradiction is in our reason, not in the essence of the world [Hegel] |
15630 | Antinomies are not just in four objects, but in all objects, all representations, all objects and all ideas [Hegel] |
9896 | A prime number is one which is measured by a unit alone [Dummett] |
18255 | Addition of quantities is prior to ordering, as shown in cyclic domains like angles [Dummett] |
9895 | A number is a multitude composed of units [Dummett] |
9852 | We understand 'there are as many nuts as apples' as easily by pairing them as by counting them [Dummett] |
9829 | The identity of a number may be fixed by something outside structure - by counting [Dummett] |
9828 | Numbers aren't fixed by position in a structure; it won't tell you whether to start with 0 or 1 [Dummett] |
9876 | Set theory isn't part of logic, and why reduce to something more complex? [Dummett] |
9884 | The distinction of concrete/abstract, or actual/non-actual, is a scale, not a dichotomy [Dummett] |
9869 | Realism is just the application of two-valued semantics to sentences [Dummett] |
22078 | Even simple propositions about sensations are filled with categories [Hegel] |
15634 | Thought about particulars is done entirely through categories [Hegel] |
9880 | Nominalism assumes unmediated mental contact with objects [Dummett] |
9885 | The existence of abstract objects is a pseudo-problem [Dummett] |
9858 | Abstract objects nowadays are those which are objective but not actual [Dummett] |
9859 | It is absurd to deny the Equator, on the grounds that it lacks causal powers [Dummett] |
9860 | 'We've crossed the Equator' has truth-conditions, so accept the Equator - and it's an object [Dummett] |
9872 | Abstract objects need the context principle, since they can't be encountered directly [Dummett] |
21981 | The one substance is formless without the mediation of dialectical concepts [Hegel] |
15637 | Essence is the essential self-positing unity of immediacy and mediation [Hegel] |
15613 | Real cognition grasps a thing from within itself, and is not satisfied with mere predicates [Hegel] |
9848 | Content is replaceable if identical, so replaceability can't define identity [Dummett, by Dummett] |
9842 | Frege introduced criteria for identity, but thought defining identity was circular [Dummett] |
15636 | The Cogito is at the very centre of the entire concern of modern philosophy [Hegel] |
22300 | Existence is just a set of relationships [Hegel] |
15609 | The sensible is distinguished from thought by being about singular things [Hegel] |
15625 | Sense perception is secondary and dependent, while thought is independent and primitive [Hegel] |
15620 | Empiricism contains the important idea that we should see knowledge for ourselves, and be part of it [Hegel] |
15619 | Empiricism made particular knowledge possible, and blocked wild claims [Hegel] |
15622 | Empiricism unknowingly contains and uses a metaphysic, which underlies its categories [Hegel] |
15621 | Empiricism of the finite denies the supersensible, and can only think with formal abstraction [Hegel] |
15632 | The Humean view stops us thinking about perception, and finding universals and necessities in it [Hegel] |
15623 | Humean scepticism, unlike ancient Greek scepticism, accepts the truth of experience as basic [Hegel] |
15617 | In abstraction, beyond finitude, freedom and necessity must exist together [Hegel] |
15608 | The act of thinking is the bringing forth of universals [Hegel] |
21986 | Hegel's system has a vast number of basic concepts [Hegel, by Moore,AW] |
15607 | We don't think with concepts - we think the concepts [Hegel] |
15610 | Active thought about objects produces the universal, which is what is true and essential of it [Hegel] |
9849 | Maybe a concept is 'prior' to another if it can be defined without the second concept [Dummett] |
9850 | An argument for conceptual priority is greater simplicity in explanation [Dummett] |
9873 | Abstract terms are acceptable as long as we know how they function linguistically [Dummett] |
9993 | There is no reason why abstraction by equivalence classes should be called 'logical' [Dummett, by Tait] |
9857 | We arrive at the concept 'suicide' by comparing 'Cato killed Cato' with 'Brutus killed Brutus' [Dummett] |
9833 | To abstract from spoons (to get the same number as the forks), the spoons must be indistinguishable too [Dummett] |
9836 | Fregean semantics assumes a domain articulated into individual objects [Dummett] |
15614 | Old metaphysics tried to grasp eternal truths through causal events, which is impossible [Hegel] |
18257 | Why should the limit of measurement be points, not intervals? [Dummett] |
15635 | The older conception of God was emptied of human features, to make it worthy of the Infinite [Hegel] |
21980 | God is the absolute thing, and also the absolute person [Hegel] |
15618 | If God is the abstract of Supremely Real Essence, then God is a mere Beyond, and unknowable [Hegel] |
15633 | We establish unification of the Ideal by the ontological proof, deriving being from abstraction of thinking [Hegel] |
1451 | Design is seen in the way ideas match the world, in the mechanisms of evolution, and in values [Tennant,FR, by PG] |