Combining Texts

All the ideas for 'Defending the Axioms', 'On Freedom' and 'A Conversation: what is it? What is it for?'

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23 ideas

1. Philosophy / C. History of Philosophy / 1. History of Philosophy
The history of philosophy is an agent of power: how can you think if you haven't read the great names? [Deleuze]
     Full Idea: The history of philosophy has always been the agent of power in philosophy, and even in thought. It has played the oppressor's role: how can you think without having read Plato, Descartes, Kant and Heidegger.
     From: Gilles Deleuze (A Conversation: what is it? What is it for? [1977], I)
     A reaction: I find it hard to relate to this French 1960s obsession with everybody being oppressed in every conceivable way, so that 'liberation' is the only value that matters. If you ask why liberty is needed, you seem to have missed the point.
1. Philosophy / D. Nature of Philosophy / 1. Philosophy
Thought should be thrown like a stone from a war-machine [Deleuze]
     Full Idea: Thought should be thrown like a stone by a war-machine. …Isn't this what Nietzsche does with an aphorism?
     From: Gilles Deleuze (A Conversation: what is it? What is it for? [1977], II)
     A reaction: It sounds as if philosophy should consist of nothing but aphorisms.
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly
Philosophy aims to become the official language, supporting orthodoxy and the state [Deleuze]
     Full Idea: Philosophy is shot through with the project of becoming the official language of a Pure State. The exercise of thought thus conforms to the goals of the real State, to the dominant meanings and to the requirements of the established order.
     From: Gilles Deleuze (A Conversation: what is it? What is it for? [1977], I)
     A reaction: [He cites Nietzsche's 'Schopenhauer as Educator' as the source of this] Is Karl Marx included in this generalisation, or Diogenes of Sinope? Is conservative philosophy thereby invalidated?
1. Philosophy / F. Analytic Philosophy / 7. Limitations of Analysis
When I meet objections I just move on; they never contribute anything [Deleuze]
     Full Idea: Not reflection, and objections are even worse. Every time someone puts an objection to me, I want to say: 'OK, OK, let's get on to something else'. Objections have never contributed anything.
     From: Gilles Deleuze (A Conversation: what is it? What is it for? [1977], I)
     A reaction: I know it is heresy in analytic philosophy, but I love this! In analytic seminars you can barely complete your first sentence before someone interrupts. It's like road range - the philosophical mind state is always poised to attack, attack.
1. Philosophy / H. Continental Philosophy / 1. Continental Philosophy
We must create new words, and treat them as normal, and as if designating real things. [Deleuze]
     Full Idea: Let us create extraordinary words, on condition that they be put to the most ordinary use and that the entity they designate be made to exist in the same way as the most common object.
     From: Gilles Deleuze (A Conversation: what is it? What is it for? [1977], I)
     A reaction: This sounds like the attitude of someone creating a computer game. A language game! The idea is to create concepts with which to 'palpitate' our conceptual scheme, in order to reveal it, and thus put it within our power.
2. Reason / C. Styles of Reason / 1. Dialectic
Don't assess ideas for truth or justice; look for another idea, and establish a relationship with it [Deleuze]
     Full Idea: You should not try to find whether an idea is just or correct. You should look for a completely different idea, elsewhere, in another area, so that something passes between the two which is neither in one nor the other.
     From: Gilles Deleuze (A Conversation: what is it? What is it for? [1977], I)
     A reaction: Neither relativism nor dialectic. Sounds like just having fun with ideas, but a commentator tells me it is a strategy for liberating our thought, following an agenda created by Nietzsche.
Dualisms can be undone from within, by tracing connections, and drawing them to a new path [Deleuze]
     Full Idea: It is always possible to undo dualisms from the inside, by tracing the line of flight which passes between the two terms or the two sets …and which draws both into a non-parallel evolution. At least this does not belong to the dialectic.
     From: Gilles Deleuze (A Conversation: what is it? What is it for? [1977], II)
     A reaction: Deleuze disliked Hegel's version of the dialectic. Not clear what he means here, but he is evidently groping for an alternative account of the reasoning process, which is interesting. Deleuze hates rigid dualisms.
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
The Axiom of Choice paradoxically allows decomposing a sphere into two identical spheres [Maddy]
     Full Idea: One feature of the Axiom of Choice that troubled many mathematicians was the so-called Banach-Tarski paradox: using the Axiom, a sphere can be decomposed into finitely many parts and those parts reassembled into two spheres the same size as the original.
     From: Penelope Maddy (Defending the Axioms [2011], 1.3)
     A reaction: (The key is that the parts are non-measurable). To an outsider it is puzzling that the Axiom has been universally accepted, even though it produces such a result. Someone can explain that, I'm sure.
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
Critics of if-thenism say that not all starting points, even consistent ones, are worth studying [Maddy]
     Full Idea: If-thenism denies that mathematics is in the business of discovering truths about abstracta. ...[their opponents] obviously don't regard any starting point, even a consistent one, as equally worthy of investigation.
     From: Penelope Maddy (Defending the Axioms [2011], 3.3)
     A reaction: I have some sympathy with if-thenism, in that you can obviously study the implications of any 'if' you like, but deep down I agree with the critics.
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
Hilbert's geometry and Dedekind's real numbers were role models for axiomatization [Maddy]
     Full Idea: At the end of the nineteenth century there was a renewed emphasis on rigor, the central tool of which was axiomatization, along the lines of Hilbert's axioms for geometry and Dedekind's axioms for real numbers.
     From: Penelope Maddy (Defending the Axioms [2011], 1.3)
If two mathematical themes coincide, that suggest a single deep truth [Maddy]
     Full Idea: The fact that two apparently fruitful mathematical themes turn out to coincide makes it all the more likely that they're tracking a genuine strain of mathematical depth.
     From: Penelope Maddy (Defending the Axioms [2011], 5.3ii)
5. Theory of Logic / L. Paradox / 2. Aporiai
Before we seek solutions, it is important to invent problems [Deleuze]
     Full Idea: The art of constructing a problem is very important: you invent a problem, a problem-position, before finding a solution.
     From: Gilles Deleuze (A Conversation: what is it? What is it for? [1977], I)
     A reaction: I get the impression that Deleuze prefers problems to solutions, so the activity of exploring the problem is all that really matters. Sceptics accuse philosophers of inventing pseudo-problems. We must first know why 'problematising' is good.
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
Every infinite set of reals is either countable or of the same size as the full set of reals [Maddy]
     Full Idea: One form of the Continuum Hypothesis is the claim that every infinite set of reals is either countable or of the same size as the full set of reals.
     From: Penelope Maddy (Defending the Axioms [2011], 2.4 n40)
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Set-theory tracks the contours of mathematical depth and fruitfulness [Maddy]
     Full Idea: Our set-theoretic methods track the underlying contours of mathematical depth. ...What sets are, most fundamentally, is markers for these contours ...they are maximally effective trackers of certain trains of mathematical fruitfulness.
     From: Penelope Maddy (Defending the Axioms [2011], 3.4)
     A reaction: This seems to make it more like a map of mathematics than the actual essence of mathematics.
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy]
     Full Idea: Ordinary perceptual cognition is most likely involved in our grasp of elementary arithmetic, but ...this connection to the physical world has long since been idealized away in the infinitary structures of contemporary pure mathematics.
     From: Penelope Maddy (Defending the Axioms [2011], 2.3)
     A reaction: Despite this, Maddy's quest is for a 'naturalistic' account of mathematics. She ends up defending 'objectivity' (and invoking Tyler Burge), rather than even modest realism. You can't 'idealise away' the counting of objects. I blame Cantor.
7. Existence / A. Nature of Existence / 3. Being / i. Deflating being
Before Being there is politics [Deleuze]
     Full Idea: Before Being there is politics.
     From: Gilles Deleuze (A Conversation: what is it? What is it for? [1977], I)
     A reaction: [He says he is quoting Felix Guattari] I can only think that this is a very Marxist view - that politics permeates and dictates everything. This seems to tell me that I am forever controlled by something so deep and vast that I can never understand it.
10. Modality / B. Possibility / 5. Contingency
Necessary truths can be analysed into original truths; contingent truths are infinitely analysable [Leibniz]
     Full Idea: Derivative truths are of two sorts: some are analysed into original truths, others admit of an infinite process of analysis. The former are necessary, the latter are contingent.
     From: Gottfried Leibniz (On Freedom [1689], p.108)
     A reaction: An intriguing proposal. Hume would presumably see contingent truths as being analysed until you reach 'impressions'. Analysis of necessary truths soon comes to the blinding light of what is obvious, but analysis of contingency never gets there.
10. Modality / D. Knowledge of Modality / 2. A Priori Contingent
Only God sees contingent truths a priori [Leibniz]
     Full Idea: Only God sees contingent truths a priori.
     From: Gottfried Leibniz (On Freedom [1689], p.95)
     A reaction: This because everything is interconnected, and the whole picture must be seen to understand a contingent truth.
10. Modality / E. Possible worlds / 3. Transworld Objects / e. Possible Objects
If non-existents are possible, their existence would replace what now exists, which cannot therefore be necessary [Leibniz]
     Full Idea: If certain possibles never exist, then existing things are not always necessary; otherwise it would be impossible for other things to exist instead of them, and so all things that never exist would be impossible.
     From: Gottfried Leibniz (On Freedom [1689], p.106)
     A reaction: A neat argument, though it is not self-evident that when possibles came into existence they would have to replace what is already there. Can't something be possible, but only in another world, because this one is already booked?
15. Nature of Minds / A. Nature of Mind / 1. Mind / d. Location of mind
A meeting of man and animal can be deterritorialization (like a wasp with an orchid) [Deleuze]
     Full Idea: The wasp becomes part of the orchid's reproductive apparatus at the same time as the orchid becomes the sexual organ of the wasp. …There are becomings where a man and an animal only meet on the trajectory of a common but asymmetrical deterritorialization.
     From: Gilles Deleuze (A Conversation: what is it? What is it for? [1977], I)
     A reaction: [second bit compressed] The point here is to illustrate 'deterritorialization', a term which Deleuze got from Guattari. It seems to be where the margins of your being become unclear. Recall the externalist, anti-individualist view of mind.
16. Persons / E. Rejecting the Self / 1. Self as Indeterminate
People consist of many undetermined lines, some rigid, some supple, some 'lines of flight' [Deleuze]
     Full Idea: Things, people, are made up of varied lines, and they do not necessarily know which line they are on or where they should make the line which they are tracing pass; there is a whole geography in people, with rigid lines, supple lines, lines of flight etc.
     From: Gilles Deleuze (A Conversation: what is it? What is it for? [1977], I)
     A reaction: An example of Deleuze creating a novel concept, in order to generate a liberating way of seeing our lives. His big focus is on 'lines of flight' (which, I think, are less restrained by local culture than the others).
25. Social Practice / A. Freedoms / 2. Freedom of belief
Some lines (of flight) are becomings which escape the system [Deleuze]
     Full Idea: There are lines which do not amount to the path of a point, which break free from structure - lines of flight, becomings, without future or past, without memory, which resist the binary machine. …The rhizome is all this.
     From: Gilles Deleuze (A Conversation: what is it? What is it for? [1977], II)
     A reaction: The binary machine enforces simplistic either/or choices. I assume the 'lines' are to replace the Self, with something much more indeterminate, active and changing.
28. God / A. Divine Nature / 3. Divine Perfections
God does everything in a perfect way, and never acts contrary to reason [Leibniz]
     Full Idea: We can regard it as certain that everything is done by God in the most perfect way, that he does nothing which is contrary to reason.
     From: Gottfried Leibniz (On Freedom [1689], p.109)
     A reaction: The famous optimism which Voltaire laughed at in 'Candide'. I can't help thinking that there is an ideal of God being ABOVE reason. We reason, and give reasons, because we are unsure, and life is a struggle. The highest ideal is mystically self-evident.