Combining Texts

All the ideas for 'fragments/reports', 'Hilbert's Programme' and 'later work'

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8 ideas

1. Philosophy / H. Continental Philosophy / 6. Deconstruction
Derrida came to believe in the undeconstructability of justice, which cannot be relativised [Derrida, by Critchley]
     Full Idea: In Derrida's later work we find him moving explicitly towards a belief in the undeconstructability of justice, as he puts it, which is an overarching value that cannot be relativised.
     From: report of Jacques Derrida (later work [1980]) by Simon Critchley - Interview with Baggini and Stangroom p.191
     A reaction: A nice corrective to the standard Anglo-Saxon assumption that Derrida is an extreme (and stupid) relativist. The notion of 'undeconstructability' is nice, just as Descartes found an idea that resisted the blasts of scepticism.
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
Gödel showed that the syntactic approach to the infinite is of limited value [Kreisel]
     Full Idea: Usually Gödel's incompleteness theorems are taken as showing a limitation on the syntactic approach to an understanding of the concept of infinity.
     From: Georg Kreisel (Hilbert's Programme [1958], 05)
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
The study of mathematical foundations needs new non-mathematical concepts [Kreisel]
     Full Idea: It is necessary to use non-mathematical concepts, i.e. concepts lacking the precision which permit mathematical manipulation, for a significant approach to foundations. We currently have no concepts of this kind which we can take seriously.
     From: Georg Kreisel (Hilbert's Programme [1958], 06)
     A reaction: Music to the ears of any philosopher of mathematics, because it means they are not yet out of a job.
24. Political Theory / A. Basis of a State / 1. A People / c. A unified people
A community must consist of singular persons, with nothing in common [Derrida, by Glendinning]
     Full Idea: In Derrida's modal reversal (where the only possible forgiveness is forgiving the unforgivable), the only possible community is the impossible community, which is a 'community of singularities' without anything in common.
     From: report of Jacques Derrida (later work [1980]) by Simon Glendinning - Derrida: A Very Short Introduction 7
     A reaction: Since this seems to go beyond multiculturalism, I can only see it as hyper-liberalism - that isolated individuals have an absolute status. Sounds like Nozick, but Derrida saw himself as a non-Marxist left-winger.
Can there be democratic friendship without us all becoming identical? [Derrida, by Glendinning]
     Full Idea: The question is whether it is possible to think of a politics of democratic friendship that could free itself from the terrifying threat of homogenization.
     From: report of Jacques Derrida (later work [1980]) by Simon Glendinning - Derrida: A Very Short Introduction 7
     A reaction: Being terrified of people becoming all the same links Derrida to existentialist individualism. Is he just a linguistic existentialist, trying to free us from the tyranny of linguistic uniformity?
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]
     Full Idea: Archelaus was the first person to say that the universe is boundless.
     From: report of Archelaus (fragments/reports [c.450 BCE]) by Diogenes Laertius - Lives of Eminent Philosophers 02.Ar.3
27. Natural Reality / C. Space / 3. Points in Space
The natural conception of points ducks the problem of naming or constructing each point [Kreisel]
     Full Idea: In analysis, the most natural conception of a point ignores the matter of naming the point, i.e. how the real number is represented or by what constructions the point is reached from given points.
     From: Georg Kreisel (Hilbert's Programme [1958], 13)
     A reaction: This problem has bothered me. There are formal ways of constructing real numbers, but they don't seem to result in a name for each one.
27. Natural Reality / G. Biology / 3. Evolution
Archelaus said life began in a primeval slime [Archelaus, by Schofield]
     Full Idea: Archelaus wrote that life on Earth began in a primeval slime.
     From: report of Archelaus (fragments/reports [c.450 BCE]) by Malcolm Schofield - Archelaus
     A reaction: This sounds like a fairly clearcut assertion of the production of life by evolution. Darwin's contribution was to propose the mechanism for achieving it. We should honour the name of Archelaus for this idea.