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All the ideas for 'Defending the Axioms', 'Interview with Philippa Foot' and 'The Myth of Sisyphus'

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30 ideas

1. Philosophy / A. Wisdom / 3. Wisdom Deflated
Life will be lived better if it has no meaning [Camus]
     Full Idea: Life will be lived all the better if it has no meaning.
     From: Albert Camus (The Myth of Sisyphus [1942], 'Abs free')
     A reaction: One image of the good life is that of a successful wild animal, for which existence is not a problem, merely a constant activity and pursuit. Maybe life begins to acquire meaning once we realise that meaning should not be sought directly.
1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
Suicide - whether life is worth living - is the one serious philosophical problem [Camus]
     Full Idea: There is but one truly serious philosophical problem and that is suicide. Judgine whether life is or is not worth living amounts to answering the fundamental question of philosophy.
     From: Albert Camus (The Myth of Sisyphus [1942], p.11)
     A reaction: What a wonderful thesis for a book. In Idea 2682 there is the possibility of life being worth living, but not worth a huge amount of effort. It is better to call Camus' question the first question, rather than the only question.
1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
To an absurd mind reason is useless, and there is nothing beyond reason [Camus]
     Full Idea: To an absurd mind reason is useless, and there is nothing beyond reason.
     From: Albert Camus (The Myth of Sisyphus [1942], 'Phil Suic')
     A reaction: But there is, surely, intuition and instinct? Read Keats's Letters. There is good living through upbringing and habit. Read Aristotle. If you like Camus' thought, you will love Chuang Tzu. Personally I am a child of the Enlightenment.
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 / A. Overview of Logic / 3. Value of Logic
Logic is easy, but what about logic to the point of death? [Camus]
     Full Idea: It is always easy to be logical. It is almost impossible to be logical to the bitter end. The only problem that interests me is: is there a logic to the point of death?
     From: Albert Camus (The Myth of Sisyphus [1942], 'Abs and Suic')
     A reaction: This is a lovely hand grenade to lob into an analytical logic class! It is very hard to get logicians to actually ascribe a clear value to their activity. They tend to present it as a marginal private game, and yet it has high status.
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)
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.
16. Persons / F. Free Will / 1. Nature of Free Will
Whether we are free is uninteresting; we can only experience our freedom [Camus]
     Full Idea: Knowing whether or not a man is free doesn't interest me. I can only experience my own freedom.
     From: Albert Camus (The Myth of Sisyphus [1942], 'Abs free')
     A reaction: Camus has the right idea. Personally I think you could drop the word 'freedom', and just say that I am confronted by the need to make decisions.
16. Persons / F. Free Will / 6. Determinism / b. Fate
The human heart has a tiresome tendency to label as fate only what crushes it [Camus]
     Full Idea: The human heart has a tiresome tendency to label as fate only what crushes it.
     From: Albert Camus (The Myth of Sisyphus [1942], 'Appendix')
     A reaction: Nice. It might just as much be fate that you live a happy bourgeois life, as that you inadvertently murder your own father at a crossroads. But you can't avoid the powerful awareness of fate when a road accident occurs.
18. Thought / A. Modes of Thought / 5. Rationality / b. Human rationality
Full rationality must include morality [Foot]
     Full Idea: You haven't got a full idea of rationality until you've got morality within it.
     From: Philippa Foot (Interview with Philippa Foot [2003], p.35)
     A reaction: Does this mean that mathematical proofs are not rational, or that they are moral?
20. Action / C. Motives for Action / 3. Acting on Reason / a. Practical reason
Practical reason is goodness in choosing actions [Foot]
     Full Idea: Practical rationality is goodness in respect of reason for actions, just as rationality of thinking is goodness in respect of beliefs.
     From: Philippa Foot (Interview with Philippa Foot [2003], p.35)
     A reaction: It is very Greek to think that rationality involves goodness. There seems to be a purely instrumental form of practical reason that just gets from A to B, as when giving accurate street directions to someone.
20. Action / C. Motives for Action / 3. Acting on Reason / c. Reasons as causes
It is an odd Humean view to think a reason to act must always involve caring [Foot]
     Full Idea: One would need a very special, very Humean, view about reasons for actions to think a man doesn't have a reason unless he cares.
     From: Philippa Foot (Interview with Philippa Foot [2003], p.34-5)
     A reaction: She says she used to believe this, but was wrong. It is hard to imagine acting for reasons if they don't care about anything at all (even that it's their job). But then people just do care about things.
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / d. Ethical theory
Discussing ethics is pointless; moral people behave badly, and integrity doesn't need rules [Camus]
     Full Idea: There can be no question of holding forth on ethics. I have seen people behave badly with great morality and I note every day that integrity has no need of rules.
     From: Albert Camus (The Myth of Sisyphus [1942], 'Abs Man')
     A reaction: I don't agree. If someone 'behaves badly with great morality' there is something wrong with their morality, and I want to know what it is. The last part is more plausible, and could be a motto for Particularism. Rules dangerously over-simplify life.
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / d. Biological ethics
Human defects are just like plant or animal defects [Foot]
     Full Idea: We describe defects in human beings in the same way as we do defects in plants and animals. …You cannot talk about a river as being defective.
     From: Philippa Foot (Interview with Philippa Foot [2003], p.33)
     A reaction: This is a much clearer commitment to naturalistic ethics than I have found in her more academic writings. My opinion of Foot (which was already high) went up when I read this interview. …She says vice is a defect of the will.
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / k. Ethics from nature
Humans need courage like a plant needs roots [Foot]
     Full Idea: A plant needs strong roots in the same way human beings need courage.
     From: Philippa Foot (Interview with Philippa Foot [2003], p.33)
     A reaction: I'm not quite convince by the analogy, but I strongly agree with her basic approach.
Concepts such as function, welfare, flourishing and interests only apply to living things [Foot]
     Full Idea: There are concepts which apply only to living things, considered in their own right, which would include function, welfare, flourishing, interests and the good of something.
     From: Philippa Foot (Interview with Philippa Foot [2003], p.33)
     A reaction: This is a very Aristotelian view, with which I entirely agree. The central concept is function.
22. Metaethics / B. Value / 1. Nature of Value / b. Fact and value
There is no fact-value gap in 'owls should see in the dark' [Foot]
     Full Idea: If you say 'an owl should be able to see in the dark' …you're not going to think that there's a gap between facts and evaluation.
     From: Philippa Foot (Interview with Philippa Foot [2003], p.33)
     A reaction: I take this to be a major and fundamental idea, which pinpoints the failure of Humeans to understand the world correctly. There is always total nihilism, of course, but that is a sort of blindness to how things are. Demanding 'proof' of values is crazy.
22. Metaethics / B. Value / 1. Nature of Value / f. Ultimate value
Principles are not ultimate, but arise from the necessities of human life [Foot]
     Full Idea: I don't believe in ultimate principles that must be simply affirmed or denied, but rather in an appeal to the necessities of human life.
     From: Philippa Foot (Interview with Philippa Foot [2003], p.37)
     A reaction: I agree. Humans have a strong tendency to elevate anything which they consider important into an absolute (such as the value of life, or freedom).
22. Metaethics / B. Value / 2. Values / a. Normativity
If you demonstrate the reason to act, there is no further question of 'why should I?' [Foot]
     Full Idea: You lose the sense of 'should' if you go on saying 'why should I?' when you've finished the argument about what is rational to do, what you've got reason to do.
     From: Philippa Foot (Interview with Philippa Foot [2003], P.34)
     A reaction: Some people reify the concept of duty, so that they do what is required without caring about the reason. I suppose that would wither if they were shown that no reason exists.
22. Metaethics / B. Value / 2. Values / g. Love
The more one loves the stronger the absurd grows [Camus]
     Full Idea: The more one loves the stronger the absurd grows.
     From: Albert Camus (The Myth of Sisyphus [1942], 'Don Juan')
     A reaction: A penetrating remark, to be placed as a contrary to the remarks of Harry Frankfurt on love. But if the absurd increases the intensity of life, as Camus thinks, then they both make love the great life-affirmation, but in different ways.
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / c. Motivation for virtue
One can be virtuous through a whim [Camus]
     Full Idea: One can be virtuous through a whim.
     From: Albert Camus (The Myth of Sisyphus [1942], 'Abs Man')
     A reaction: A nice remark. Obviously neither Aristotle nor Kant would be too impressed by someone who did this, and Aristotle would certainly say that it is not really virtue, but merely right behaviour. I agree with Aristotle.
23. Ethics / F. Existentialism / 2. Nihilism
If we believe existence is absurd, this should dictate our conduct [Camus]
     Full Idea: What a man believes to be true must determine his action. Belief in the absurdity of existence must then dictate his conduct.
     From: Albert Camus (The Myth of Sisyphus [1942], 'Abs and Suic')
     A reaction: It is intriguing to speculate what the appropriate conduct is. Presumably it is wild existential gestures, like sticking a knife through your hand. Suicide will be an obvious temptation. But bourgeois life might be equally appropriate.
Happiness and the absurd go together, each leading to the other [Camus]
     Full Idea: Happiness and the absurd are two sons of the same earth; they are inseparable; it would be a mistake to say that happiness necessarily springs from the absurd discovery; it happens as well that the feeling of the absurd springs from happiness.
     From: Albert Camus (The Myth of Sisyphus [1942], p.110)
     A reaction: I'm not sure that I understand this, but I understand the experience of absurdity, and I can see that somehow one feels a bit more alive when one acknowledges the absurdity of it all. Meta-meta-thought is the highest form of human life, I say.
23. Ethics / F. Existentialism / 7. Existential Action
Essential problems either risk death, or intensify the passion of life [Camus]
     Full Idea: The essential problems are those that run the risk of leading to death, or those that intensify the passion of living.
     From: Albert Camus (The Myth of Sisyphus [1942], 'Abs and Suic')
     A reaction: This seems to be distinctively existentialist, in a way that a cool concern for great truths are not ranked as so important. Ranking dangerous problems as crucial seems somehow trivial for a philosopher. Intensity of life is more impressive.
Danger and integrity are not in the leap of faith, but in remaining poised just before the leap [Camus]
     Full Idea: The leap of faith does not represent an extreme danger as Kierkegaard would like it to do. The danger, on the contrary, lies in the subtle instant that precedes the leap. Being able to remain on the dizzying crest - that is integrity.
     From: Albert Camus (The Myth of Sisyphus [1942], 'Phil Suic')
     A reaction: I have always found that a thrilling thought. It perfectly distinguishes atheist existentialism from religious existentialism. It is Camus' best image for how the Absurd can be a life affirming idea, rather than a sort of nihilism. Life gains intensity.
25. Social Practice / F. Life Issues / 4. Suicide
It is essential to die unreconciled and not of one's own free will [Camus]
     Full Idea: It is essential to die unreconciled and not of one's own free will. Suicide is a repudiation.
     From: Albert Camus (The Myth of Sisyphus [1942], 'Abs free')
     A reaction: Camus' whole book addresses the question of suicide. He suggests that life can be redeemed and become livable if you squarely face up to the absurdity of it, and the gap between what we hope for and what we get.