12 ideas
21463 | Hamann, Herder and Jacobi were key opponents of the Enlightenment [Gardner] |
Full Idea: Hamann, Herder and Jacobi are central figues in the reaction against Enlightenment. | |
From: Sebastian Gardner (Kant and the Critique of Pure Reason [1999], 10 'immediate') | |
A reaction: From a British perspective I would see Hume as the leading such figure. Hamann emphasised the neglect of the role of language. Jacobi was a Christian. |
21459 | Kant halted rationalism, and forced empiricists to worry about foundations [Gardner] |
Full Idea: Kant's Critique swiftly brought rationalism to a halt, and after Kant empiricism has displayed a nervousness regarding its foundations, and been forced to assume more sophisticated forms. | |
From: Sebastian Gardner (Kant and the Critique of Pure Reason [1999], 10 Intro) | |
A reaction: See the ideas of Laurence Bonjour for a modern revival of rationalism. After Kant philosophers either went existential, or stared gloomily into the obscure depths. Formal logic was seen as a possible rope ladder down. |
21460 | Only Kant and Hegel have united nature, morals, politics, aesthetics and religion [Gardner] |
Full Idea: Apart from Hegel, no later philosophical system equals in stature Kant's attempt to weld together the diverse fields of natural science, morality, politics, aesthetics and religion into a systematic overarching epistemological and metaphysical unity. | |
From: Sebastian Gardner (Kant and the Critique of Pure Reason [1999], 10) | |
A reaction: Earlier candidate are Plato and Aristotle. Earlier Enlightenment figures say little about morality or aesthetics. Hobbes ranges widely. Aquinas covered most things. |
21443 | Transcendental proofs derive necessities from possibilities (e.g. possibility of experiencing objects) [Gardner] |
Full Idea: A transcendental proof converts a possibility into a necessity: by saying under what conditions experience of objects is possible, transcendental proofs show those conditions to be necessary for us to the extent that we have any experience of objects. | |
From: Sebastian Gardner (Kant and the Critique of Pure Reason [1999], 02 'Transc') | |
A reaction: They appear to be hypothetical necessities, rather than true metaphysical necessities. Gardner is discussing Kant, but seems to be generalising. Hypothetical necessities are easy: if it is flying, it is necessarily above the ground. |
16901 | The equivalent algebra model of geometry loses some essential spatial meaning [Burge] |
Full Idea: Geometrical concepts appear to depend in some way on a spatial ability. Although one can translate geometrical propositions into algebraic ones and produce equivalent models, the meaning of the propositions seems to me to be thereby lost. | |
From: Tyler Burge (Frege on Apriority (with ps) [2000], 4) | |
A reaction: I think this is a widely held view nowadays. Giaquinto has a book on it. A successful model of something can't replace it. Set theory can't replace arithmetic. |
21444 | Modern geoemtry is either 'pure' (and formal), or 'applied' (and a posteriori) [Gardner] |
Full Idea: There is now 'pure' geometry, consisting of formal systems based on axioms for which truth is not claimed, and which are consequently not synthetic; and 'applied', a branch of physics, the truth of which is empirical, and therefore not a priori. | |
From: Sebastian Gardner (Kant and the Critique of Pure Reason [1999], 03 'Maths') | |
A reaction: His point is that there is no longer any room for a priori geometry. Might the same division be asserted of arithmetic, or analysis, or set theory? |
16902 | Peano arithmetic requires grasping 0 as a primitive number [Burge] |
Full Idea: In the Peano axiomatisation, arithmetic seems primitively to involve the thought that 0 is a number. | |
From: Tyler Burge (Frege on Apriority (with ps) [2000], 5) | |
A reaction: Burge is pointing this out as a problem for Frege, for whom only the logic is primitive. |
21453 | Leibnizian monads qualify as Kantian noumena [Gardner] |
Full Idea: Leibnizian monads clearly satisfy Kant's definition of noumena. | |
From: Sebastian Gardner (Kant and the Critique of Pure Reason [1999], 06 'Noumena') | |
A reaction: This needs qualifying, because Leibniz clearly specifies the main attributes of monads, where Kant is adamant that we can saying virtually nothing about noumena. |
16083 | Aristotelian matter seriously threatens the intrinsic unity and substantiality of its object [Gill,ML] |
Full Idea: On the interpretation of Aristotelian matter that I shall propose, matter seriously threatens the intrinsic unity, and hence the substantiality, of the object to which it contributes. | |
From: Mary Louise Gill (Aristotle on Substance [1989], Intro) | |
A reaction: Presumably the thought is that if an object is form+matter (hylomorphism), then forms are essentially unified, but matter is essentially unified and sloppy. |
16892 | Is apriority predicated mainly of truths and proofs, or of human cognition? [Burge] |
Full Idea: Whereas Leibniz and Frege predicate apriority primarily of truths (or more fundamentally, proofs of truths), Kant predicates apriority primarily of cognition and the employment of representations. | |
From: Tyler Burge (Frege on Apriority (with ps) [2000], 1) |
17006 | Prime matter has no place in Aristotle's theories, and passages claiming it are misread [Gill,ML] |
Full Idea: I argue that prime matter has no place in Aristotle's elemental theory. ..References to prime matter are found in Aristotle's work because his theory was thought to need the doctrine. If I am right, these passages will all admit of another interpretation. | |
From: Mary Louise Gill (Aristotle on Substance [1989], App) | |
A reaction: If correct, this strikes me as important for the history of ideas, because scholastics got themselves in a right tangle over prime matter. See Pasnau on it. It pushed the 17th century into corpuscularianism. |
16093 | Prime matter is actually nothing and potentially everything (or potentially an element) [Gill,ML] |
Full Idea: Prime matter is supposed to be actually nothing and potentially everything or, at any rate, potentially the simplest bodies - earth, water, air and fire. | |
From: Mary Louise Gill (Aristotle on Substance [1989], Ch.1) | |
A reaction: The view that the four elements turn out to be prime matter is distinctive of Gill's approach. Prime matter sounds like quark soup in the early universe. |