Combining Philosophers

All the ideas for Carl Friedrich Gauss, Sebastian Gardner and Carl Hempel

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16 ideas

1. Philosophy / C. History of Philosophy / 4. Later European Philosophy / c. Eighteenth century philosophy
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.
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.
1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
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.
2. Reason / E. Argument / 2. Transcendental Argument
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.
6. Mathematics / A. Nature of Mathematics / 2. Geometry
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?
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite
Actual infinities are not allowed in mathematics - only limits which may increase without bound [Gauss]
     Full Idea: I protest against the use of an infinite quantity as an actual entity; this is never allowed in mathematics. The infinite is only a manner of speaking, in which one properly speaks of limits ...which are permitted to increase without bound.
     From: Carl Friedrich Gauss (Letter to Shumacher [1831]), quoted by Brian Clegg - Infinity: Quest to Think the Unthinkable Ch.7
7. Existence / C. Structure of Existence / 6. Fundamentals / c. Monads
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.
14. Science / A. Basis of Science / 4. Prediction
Explanatory facts also predict, and predictive facts also explain [Hempel, by Okasha]
     Full Idea: Hempel said every scientific explanation is potentially a prediction - it would have predicted the phenomenon in question, had it not already been known. But also the information used to make a prediction is potentially an explanation.
     From: report of Carl Hempel (Aspects of Scientific Explanation [1965]) by Samir Okasha - Philosophy of Science: Very Short Intro (2nd ed) 3
     A reaction: Sounds too neatly glib to be quite true. If you explain a single event there is nothing to predict. You might predict accurately from a repetitive pattern, with no understanding at all of the pattern.
14. Science / D. Explanation / 1. Explanation / b. Aims of explanation
Scientific explanation aims at a unifying account of underlying structures and processes [Hempel]
     Full Idea: What theoretical scientific explanation aims at is an objective kind of insight that is achieved by a systematic unification, by exhibiting the phenomena as manifestations of common underlying structures and processes that conform to testable principles.
     From: Carl Hempel (Philosophy of Natural Science [1967], p.83), quoted by Laurence Bonjour - The Structure of Empirical Knowledge 5.3
     A reaction: This is a pretty good statement of scientific essentialism, and structures and processes are what I take Aristotle to have had in mind when he sought 'what it is to be that thing'. Structures and processes give stability and powers.
14. Science / D. Explanation / 2. Types of Explanation / e. Lawlike explanations
For Hempel, explanations are deductive-nomological or probabilistic-statistical [Hempel, by Bird]
     Full Idea: Hempel proposes that explanations involve covering laws and antecedent conditions; this view (the 'covering law' view) has two versions, the deductive-nomological model and the probabilistic-statistical model of explanation.
     From: report of Carl Hempel (Aspects of Scientific Explanation [1965]) by Alexander Bird - Philosophy of Science Ch.2
     A reaction: The obvious problem with this approach, it seem to me, is that the laws themselves need explanation, and I don't see how a law can be foundational unless there is a divine law-giver. Are the laws arbitrary and axiomatic?
The covering-law model is for scientific explanation; historical explanation is quite different [Hempel]
     Full Idea: To put forward the covering-law models of scientific explanation is not to deny that there are other contexts in which we speak of explanation. ….That it does not fit explaining the rules of Hanoverian succession is to miss the intent of our model.
     From: Carl Hempel (Aspects of Scientific Explanation [1965], p. 412-3), quoted by David-Hillel Ruben - Explaining Explanation Ch 1
     A reaction: Important to get that clear. It then requires a clear demarcation between science and the rest, and it had better not rule out biology because it is having a love affair with physics.
14. Science / D. Explanation / 2. Types of Explanation / g. Causal explanations
Hempel rejects causation as part of explanation [Hempel, by Salmon]
     Full Idea: Hempel explicitly rejects the idea that causality plays any essential explanatory role.
     From: report of Carl Hempel (Aspects of Scientific Explanation [1965], p.352) by Wesley Salmon - Four Decades of Scientific Explanation 1.1
     A reaction: Hempel champions the 'covering-law' model of explanation. It strikes me that Hempel is so utterly wrong about this that his views aren't even a candidate for correctness, but then for a long time his views were orthodoxy.
21. Aesthetics / A. Aesthetic Experience / 1. Aesthetics
Aesthetics presupposes a distinctive sort of experience, and a unified essence for art [Gardner]
     Full Idea: Aesthetics traditionally has two presuppositions: the first is that there is a distinctive form of experience which is common to the appreciation of art and natural beauty; the second is that art has an essence or some sort of underlying unity.
     From: Sebastian Gardner (Aesthetics [1995], Intro)
     A reaction: Both must come up for discussion. I think the biggest problem for the first one is the place of sexual attraction, or even fancying a prawn sandwich. The second has been weakened by Marcel Duchamp's urinal, and modern fringe arts.
21. Aesthetics / B. Nature of Art / 7. Ontology of Art
Art works originate in the artist's mind, and appreciation is re-creating this mental object [Gardner]
     Full Idea: A strong tradition in aesthetics (the 'idealist' view) regards works of art as existing originally in the artist's mind, and the appreciation of art as a matter of re-creating the artist's mental object.
     From: Sebastian Gardner (Aesthetics [1995], 2.2)
     A reaction: He mentions Collingwood and Croce. Against this is the view (Idea 7268) that what goes on in the artist's mind is just irrelevant. Freud is important here, suggesting that the artist doesn't quite know what he or she is doing.
21. Aesthetics / C. Artistic Issues / 5. Objectivism in Art
Aesthetic objectivists must explain pleasure being essential, but not in the object [Gardner]
     Full Idea: The aesthetic objectivist faces the difficulty of accounting for the fact that pleasure is not in the object, and is necessary for, and not just a contingent accompaniment to, aesthetic response.
     From: Sebastian Gardner (Aesthetics [1995], 1.2.3)
     A reaction: The objectivist has to claim, not utterly implausibly, that if you don't get pleasure from certain works, then you 'ought' to. You can ignore a good work, but to deny that it gives pleasure is a failing in you.
22. Metaethics / B. Value / 1. Nature of Value / d. Subjective value
Aesthetic judgements necessarily require first-hand experience, unlike moral judgements [Gardner]
     Full Idea: I am not within my rights to declare an object beautiful until I have seen it myself, ..unlike moral judgement, which (arguably) does not presuppose either a felt response or personal acquaintance.
     From: Sebastian Gardner (Aesthetics [1995], 1.1)
     A reaction: Particularists might argue that moral judgements also require exposure to the actual situation, if they are to be authentic and authoritative. We can also discuss principles of aesthetics in the absence of examples.