Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'works' and 'Episteme and Logos in later Plato'

unexpand these ideas     |    start again     |     specify just one area for these texts


14 ideas

2. Reason / A. Nature of Reason / 2. Logos
The logos enables us to track one particular among a network of objects [Nehamas]
     Full Idea: The logos (the definition) is a summary statement of the path within a network of objects that one will have to follow in order to locate a particular member of that network.
     From: Alexander Nehamas (Episteme and Logos in later Plato [1984], p.234)
     A reaction: I like this because it confirms that Plato (as well as Aristotle) was interested in the particulars rather than in the kinds (which I take to be general truths about particulars).
A logos may be short, but it contains reference to the whole domain of the object [Nehamas]
     Full Idea: A thing's logos, apparently short as it may be, is implicitly a very rich statement since it ultimately involves familiarity with the whole domain to which that particular object belongs.
     From: Alexander Nehamas (Episteme and Logos in later Plato [1984], p.234)
     A reaction: He may be wrong that the logos is short, since Aristotle (Idea 12292) says a definition can contain many assertions.
2. Reason / A. Nature of Reason / 7. Status of Reason
Foucault originally felt that liberating reason had become an instrument of domination [Foucault, by Gutting]
     Full Idea: In early work Foucault writes in opposition to the Enlightenment. ..The reason that was supposed to liberate us has itself become the primary instrument of our domination. ..His heroisation of the mad aims to set up an alternative to the regime of reason.
     From: report of Michel Foucault (works [1978]) by Gary Gutting - Foucault: a very short introduction 7
     A reaction: Adorno and Horkheimer are cited as background. I hear Spinoza turning in his grave, because right reason could never be an instrument of domination.
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
     Full Idea: There are many coherent stopping points in the hierarchy of increasingly strong mathematical systems, starting with strict finitism, and moving up through predicativism to the higher reaches of set theory.
     From: Peter Koellner (On the Question of Absolute Undecidability [2006], Intro)
'Reflection principles' say the whole truth about sets can't be captured [Koellner]
     Full Idea: Roughly speaking, 'reflection principles' assert that anything true in V [the set hierarchy] falls short of characterising V in that it is true within some earlier level.
     From: Peter Koellner (On the Question of Absolute Undecidability [2006], 2.1)
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
We have no argument to show a statement is absolutely undecidable [Koellner]
     Full Idea: There is at present no solid argument to the effect that a given statement is absolutely undecidable.
     From: Peter Koellner (On the Question of Absolute Undecidability [2006], 5.3)
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
There are at least eleven types of large cardinal, of increasing logical strength [Koellner]
     Full Idea: Some of the standard large cardinals (in order of increasing (logical) strength) are: inaccessible, Mahlo, weakly compact, indescribable, Erdös, measurable, strong, Wodin, supercompact, huge etc. (...and ineffable).
     From: Peter Koellner (On the Question of Absolute Undecidability [2006], 1.4)
     A reaction: [I don't understand how cardinals can have 'logical strength', but I pass it on anyway]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner]
     Full Idea: To the extent that we are justified in accepting Peano Arithmetic we are justified in accepting its consistency, and so we know how to expand the axiom system so as to overcome the limitation [of Gödel's Second Theorem].
     From: Peter Koellner (On the Question of Absolute Undecidability [2006], 1.1)
     A reaction: Each expansion brings a limitation, but then you can expand again.
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
Arithmetical undecidability is always settled at the next stage up [Koellner]
     Full Idea: The arithmetical instances of undecidability that arise at one stage of the hierarchy are settled at the next.
     From: Peter Koellner (On the Question of Absolute Undecidability [2006], 1.4)
13. Knowledge Criteria / E. Relativism / 1. Relativism
Foucault challenges knowledge in psychology and sociology, not in the basic sciences [Foucault, by Gutting]
     Full Idea: Foucault's project is to question quite specific claims to cognitive authority, made by many psychologists and social scientists. He has not problems with other domains, such as mathematics and the basic sciences.
     From: report of Michel Foucault (works [1978]) by Gary Gutting - Foucault: a very short introduction 5
     A reaction: Nowadays we describe his target as Epistemic Injustice (see book of that title by Miranda Fricker).
15. Nature of Minds / B. Features of Minds / 1. Consciousness / a. Consciousness
Unlike Marxists, Foucault explains thought internally, without deference to conscious ideas [Foucault, by Gutting]
     Full Idea: Unlike Marxists, Foucault's project is to offer an internal account of human thinking, without assuming a privileged status for the conscious content of that thought.
     From: report of Michel Foucault (works [1978]) by Gary Gutting - Foucault: a very short introduction 4
     A reaction: His project is historical. Personally I resent anyone who claims to understand my thought better than I do. I suppose my intellectual duty is to read Foucault, and see (honestly) whether his project applies to me.
21. Aesthetics / B. Nature of Art / 8. The Arts / b. Literature
The author function of any text is a plurality of selves [Foucault, by Gutting]
     Full Idea: Foucault maintains that for any 'authored' text a plurality of selves fulfils the author function.
     From: report of Michel Foucault (works [1978]) by Gary Gutting - Foucault: a very short introduction 2
     A reaction: This is a completely different concept of a 'self' from the one normally found in this database. I would call it the sociological concept of self, as something changing with context. So how many selves is 'Jane Austen'?
24. Political Theory / A. Basis of a State / 3. Natural Values / c. Natural rights
Nature is not the basis of rights, but the willingness to risk death in asserting them [Foucault]
     Full Idea: The decision 'to prefer the risk of death to the certainty of having to obey' is the 'last anchor point' for any assertion of rights, 'one more solid and closer to the experience than "natural rights"'.
     From: Michel Foucault (works [1978], EW III:449)
     A reaction: I recall a group of Afrikaan men going to face certain death, rather than give up apartheid.
25. Social Practice / D. Justice / 3. Punishment / d. Reform of offenders
Power is used to create identities and ways of life for other people [Foucault, by Shorten]
     Full Idea: For Foucault power is less about repressing people or issuing commands, and more about producing identities and ways of living.
     From: report of Michel Foucault (works [1978]) by Andrew Shorten - Contemporary Political Theory 01
     A reaction: I take this to be the culmination of the Hegelian view of a person, as largely created by social circumstances rather than by biology. I'm beginning to think that Foucault may be a very important philosopher - although elusive.