Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Letters to Thomas Burnett' and 'Conversations, with Glyn Daly'

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13 ideas

1. Philosophy / C. History of Philosophy / 4. Later European Philosophy / c. Eighteenth century philosophy
Kant was the first philosopher [Zizek]
     Full Idea: From today's perspective it is in a way clear that Kant was the first philosopher. Pre-Kantian philosophy cannot think in his transcendental aspect.
     From: Slavoj Zizek (Conversations, with Glyn Daly [2004], §1)
     A reaction: It is probably equally plausible to say that Kant was the last philosopher. More thought-provoking than true.
1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
There is no dialogue in philosophy [Zizek]
     Full Idea: I think I truly became a philosopher when I realised that there is no dialogue in philosophy. Plato's dialogues are clearly fakes, with one guy talking most of the time. ...Philosophy as an interdisciplinary project is the ultimate nightmare.
     From: Slavoj Zizek (Conversations, with Glyn Daly [2004], §1)
     A reaction: This goes against all my prejudices in favour of teamwork and mutual criticism (e.g. Idea 1576), but I was a bit shaken by it, and have begun to wonder whether I must just face up to the solitary nature of the enterprise.
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / b. Philosophy as transcendent
Philosophy is transcendental questioning (not supporting science or constructing ontology) [Zizek]
     Full Idea: Philosophy can no longer play its traditional roles, giving foundations to science, or constructing general ontology. It should simply fulfil its task of transcendental questioning.
     From: Slavoj Zizek (Conversations, with Glyn Daly [2004], §2)
     A reaction: I remain unsure what is being recommended, unless it is for philosophy to start asking questions just at the point where everyone else gives up.
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)
9. Objects / B. Unity of Objects / 2. Substance / a. Substance
The notion of substance is one of the keys to true philosophy [Leibniz]
     Full Idea: I consider the notion of substance to be one of the keys to the true philosophy. ....I imagine that philosophers will one day know the notion of substance a bit better than they do now.
     From: Gottfried Leibniz (Letters to Thomas Burnett [1703], 1699.01.20/30)
     A reaction: This is a controversial remark at this historical moment, when the apparent Aristotelian commitment to substances was becoming discredited. Personally I would eliminate substance, but not just because physicists don't refer to it.
15. Nature of Minds / B. Features of Minds / 1. Consciousness / d. Purpose of consciousness
Consciousness is a malfunction of evolution [Zizek]
     Full Idea: Consciousness is a kind of mistake, a malfunction of evolution, and out of this mistake a miracle occurred.
     From: Slavoj Zizek (Conversations, with Glyn Daly [2004], §2)
     A reaction: Rather hard to prove, but actually quite an uplifting thought. If consciousness only evolved so that we could navigate and defend ourselves, our 'higher' activities seem irrelevant. But Zizek's view means we can make them central. Nice.
22. Metaethics / B. Value / 2. Values / f. Altruism
Tolerance and love are strategies to avoid encountering our neighbours [Zizek]
     Full Idea: All this preaching about tolerance, love for one's neighbour and so on, are ultimately strategies to avoid encountering the neighbour.
     From: Slavoj Zizek (Conversations, with Glyn Daly [2004], §2)
     A reaction: I have begun to wonder whether some such motivation underlies the modern obsession with raising huge sums for charity.
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / c. Essence and laws
Gravity is within matter because of its structure, and it can be explained. [Leibniz]
     Full Idea: I believe that both gravity and elasticity are in matter only because of the structure of the system and can be explained mechanically or through impulsion.
     From: Gottfried Leibniz (Letters to Thomas Burnett [1703], 1699 draft)
     A reaction: The significance of this remark is that gravity is held (in full knowledge of Newton's work) to be within matter, and not imposed from the outside. I believe we now postulate a particle as part of the explanation.