Combining Texts

All the ideas for 'Towards a Critique of Hegel's Philosophy', 'Constructibility and Mathematical Existence' and 'Whose Justice? Which Rationality?'

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13 ideas

1. Philosophy / C. History of Philosophy / 1. History of Philosophy
All philosophies presuppose their historical moment, and arise from it [Feuerbach]
     Full Idea: Every philosophy originates as a manifestation of its time; its origin presupposes its historical time.
     From: Ludwig Feuerbach (Towards a Critique of Hegel's Philosophy [1839], p.59)
     A reaction: There seems to be widespread agreement among continental philosophers about this idea, whereas analytic philosophers largely ignore, and treat Plato as if he were a current professor in Chicago.
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly
I don't study Plato for his own sake; the primary aim is always understanding [Feuerbach]
     Full Idea: Plato in writing is only a means for me; that which is primary and a priori, that which is the ground to which all is ultimately referred, is understanding.
     From: Ludwig Feuerbach (Towards a Critique of Hegel's Philosophy [1839], p.63)
     A reaction: It always seems to that the main aim of philosophy is understanding - which is why its central activity is explanation.
2. Reason / C. Styles of Reason / 1. Dialectic
A dialectician has to be his own opponent [Feuerbach]
     Full Idea: A thinker is a dialectician only insofar as he is his own opponent.
     From: Ludwig Feuerbach (Towards a Critique of Hegel's Philosophy [1839], p.72)
     A reaction: Quite an inspirational slogan for beginners in philosophy. How many non-philosophers are willing to be their own opponent. In law courts and the House of Commons we assign the roles to separate persons. Hence rhetoric replaces reason?
Each proposition has an antithesis, and truth exists as its refutation [Feuerbach]
     Full Idea: Every intellectual determination has its antithesis, its contradiction. Truth exists not in unity with, but in refutation of its opposite.
     From: Ludwig Feuerbach (Towards a Critique of Hegel's Philosophy [1839], p.72)
     A reaction: This appears to be a rejection of the 'synthesis' in Hegel, in favour of what strikes me as a rather more sensible interpretation of the modern dialectic. Being exists in contrast to nothingness, and truth exists in contrast to its negation?
3. Truth / A. Truth Problems / 3. Value of Truth
Truth forges an impersonal unity between people [Feuerbach]
     Full Idea: The urge to communicate is a fundamental urge - the urge for truth. ...That which is true belongs neither to me nor exclusively to you, but is common to all. The thought in which 'I' and 'You' are united is a true thought.
     From: Ludwig Feuerbach (Towards a Critique of Hegel's Philosophy [1839], p.65)
     A reaction: Sceptics may doubt that there are such truths, but this is certainly how we experience agreement - that there is some truth shared between us which is no longer the possession of either of us. Nice idea.
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
We could talk of open sentences, instead of sets [Chihara, by Shapiro]
     Full Idea: Chihara's programme is to replace talk of sets with talk of open sentences. Instead of speaking of the set of all cats, we talk about the open sentence 'x is a cat'.
     From: report of Charles Chihara (Constructibility and Mathematical Existence [1990]) by Stewart Shapiro - Thinking About Mathematics 9.2
     A reaction: As Shapiro points out, this is following up Russell's view that sets should be replaced with talk of properties. Chihara is expressing it more linguistically. I'm in favour of any attempt to get rid of sets.
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
Chihara's system is a variant of type theory, from which he can translate sentences [Chihara, by Shapiro]
     Full Idea: Chihara's system is a version of type theory. Translate thus: replace variables of sets of type n with level n variables over open sentences, replace membership/predication with satisfaction, and high quantifiers with constructability quantifiers.
     From: report of Charles Chihara (Constructibility and Mathematical Existence [1990]) by Stewart Shapiro - Philosophy of Mathematics 7.4
We can replace type theory with open sentences and a constructibility quantifier [Chihara, by Shapiro]
     Full Idea: Chihara's system is similar to simple type theory; he replaces each type with variables over open sentences, replaces membership (or predication) with satisfaction, and replaces quantifiers over level 1+ variables with constructability quantifiers.
     From: report of Charles Chihara (Constructibility and Mathematical Existence [1990]) by Stewart Shapiro - Thinking About Mathematics 9.2
     A reaction: This is interesting for showing that type theory may not be dead. The revival of supposedly dead theories is the bread-and-butter of modern philosophy.
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism
Introduce a constructibility quantifiers (Cx)Φ - 'it is possible to construct an x such that Φ' [Chihara, by Shapiro]
     Full Idea: Chihara has proposal a modal primitive, a 'constructability quantifier'. Syntactically it behaves like an ordinary quantifier: Φ is a formula, and x a variable. Then (Cx)Φ is a formula, read as 'it is possible to construct an x such that Φ'.
     From: report of Charles Chihara (Constructibility and Mathematical Existence [1990]) by Stewart Shapiro - Philosophy of Mathematics 7.4
     A reaction: We only think natural numbers are infinite because we see no barrier to continuing to count, i.e. to construct new numbers. We accept reals when we know how to construct them. Etc. Sounds promising to me (though not to Shapiro).
7. Existence / D. Theories of Reality / 11. Ontological Commitment / e. Ontological commitment problems
To our consciousness it is language which looks unreal [Feuerbach]
     Full Idea: To sensuous consciousness it is precisely language that is unreal, nothing.
     From: Ludwig Feuerbach (Towards a Critique of Hegel's Philosophy [1839], p.77)
     A reaction: Offered as a corrective to the view that our ontological commitments entirely concern what we are willing to say.
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / d. Absolute idealism
The Absolute is the 'and' which unites 'spirit and nature' [Feuerbach]
     Full Idea: The Absolute is spirit and nature. ...But what then is the Absolute? Nothing other than this 'and', that is, the unity of spirit and nature.
     From: Ludwig Feuerbach (Towards a Critique of Hegel's Philosophy [1839], p.82)
     A reaction: This is Feuerbach's spin on Hegel. He has been outlining idealist philosophy and the philosophy of nature in Schelling. Is this Spinoza's one substance?
13. Knowledge Criteria / E. Relativism / 4. Cultural relativism
Relativism can be seen as about the rationality of different cultural traditions [MacIntyre, by Kusch]
     Full Idea: MacIntyre formulates relativism in terms of rationality rather than truth or objectivity. Things are rational relative to some particular tradition, but not rational as such.
     From: report of Alasdair MacIntyre (Whose Justice? Which Rationality? [1988], p.352) by Martin Kusch - Knowledge by Agreement Ch.19
     A reaction: Personally I had always taken it to be about truth, and I expect any account of rationality to be founded on a notion of truth. There can clearly be cultural traditions of evidence, and possibly even of logic (though I doubt it).
24. Political Theory / D. Ideologies / 6. Liberalism / g. Liberalism critique
Liberals debate how conservative or radical to be, but don't question their basics [MacIntyre]
     Full Idea: Contemporary debates within modern political systems are almost exclusively between conservative liberals, liberal liberals, and radical liberals. There is little place for the criticism of the system itself.
     From: Alasdair MacIntyre (Whose Justice? Which Rationality? [1988]), quoted by John Kekes - Against Liberalism 01
     A reaction: [No page number given] Kekes seems to be more authoritarian, and MacIntyre is a communitarian (which can be rather authoritarian). I'm dubious about both.