19 ideas
| 22864 | Philosophy is the study and criticsm of cultural beliefs, to achieve new possibilities [Dewey] |
| Full Idea: Philosophy is criticism of the influential beliefs that underlie culture, tracking them to their generating conditions and results, and considering their mutual compatibility. This terminates in a new perspective, which leads to new possibilities. | |
| From: John Dewey (The Later Works (17 vols, ed Boydston) [1930], 6:19), quoted by David Hildebrand - Dewey Intro | |
| A reaction: [compressed] This would make quite a good manifesto for French thinkers of the 1960s. Foucault could hardly disagree. An excellent idea. |
| 17610 | 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. |
| 22873 | Liberalism should improve the system, and not just ameliorate it [Dewey] |
| Full Idea: Liberalism must become radical in the sense that, instead of using social power to ameliorate the evil consequences of the existing system, it shall use social power to change the system. | |
| From: John Dewey (The Later Works (17 vols, ed Boydston) [1930], 11:287), quoted by David Hildebrand - Dewey 4 'Dewey' | |
| A reaction: Conservative liberals ask what people want, and try to give it to them. Radical liberals ask what people actually need, and try to make it possible. The latter is bound to be a bit paternalistic, but will probably create a better world. |
| 17620 | 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. |
| 17605 | 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) |
| 17625 | 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) |
| 17615 | 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) |
| 17618 | 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. |
| 17614 | 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. |
| 22869 | Knowledge is either the product of competent enquiry, or it is meaningless [Dewey] |
| Full Idea: Knowledge, as an abstract term, is a name for the product of competent enquiries. Apart from this relation, its meaning is so empty that any content or filling may be arbitrarily poured into it. | |
| From: John Dewey (The Later Works (17 vols, ed Boydston) [1930], 12:16), quoted by David Hildebrand - Dewey 2 'Knowledge' | |
| A reaction: What is the criterion of 'competent'? Danger of tautology, if competent enquiry is what produces knowledge. |
| 22867 | The quest for certainty aims for peace, and avoidance of the stress of action [Dewey] |
| Full Idea: The quest for certainty is a quest for a peace which is assured, an object which is unqualified by risk and the shadow of fear which action costs. | |
| From: John Dewey (The Later Works (17 vols, ed Boydston) [1930], 4:7), quoted by David Hildebrand - Dewey 2 'Intro' | |
| A reaction: This is a characteristic pragmatist account. I think Dewey and Peirce offer us the correct attitude to certainty. It is just not available to us, and can only be a delusion. That doesn't mean we don't know anything, however! |
| 22870 | No belief can be so settled that it is not subject to further inquiry [Dewey] |
| Full Idea: The attainment of settled beliefs is a progressive matter; there is no belief so settled as not to be exposed to further inquiry. | |
| From: John Dewey (The Later Works (17 vols, ed Boydston) [1930], 12:16), quoted by David Hildebrand - Dewey 2 'Knowledge' | |
| A reaction: A nice pragmatist mantra, but no scientists gets a research grant to prove facts which have been securely established for a very long time. It is neurotic to keep returning to check that you have locked your front door. Dewey introduced 'warranted'. |
| 22866 | Mind is never isolated, but only exists in its interactions [Dewey] |
| Full Idea: Mind is primarily a verb. ...Mind never denotes anything self-contained, isolated from the world of persons and things, but is always used with respect to situations, events, objects, persons and groups. | |
| From: John Dewey (The Later Works (17 vols, ed Boydston) [1930], 10:267), quoted by David Hildebrand - Dewey 1 'emerge' | |
| A reaction: I strongly agree with the idea that mind is a process, not a thing. Certain types of solitary introspection don't seem to quite fit his account, but in general he is right. |
| 20765 | Man is a brave naked will, separate from a background of values and realities [Murdoch] |
| Full Idea: Existentialists no longer see man against a background of values, of realities, which transcend him. We picture man as a brave naked will. | |
| From: Iris Murdoch (Against Dryness: a polemical sketch [1983], p.46), quoted by Kevin Aho - Existentialism: an introduction 7 'Subjectivism' | |
| A reaction: It is one thing to deny the values, and another to deny the realities. This piece is a 'polemic', and reads more like an exhortation than a truth. Many of us are, at best, cowardly naked wills. |
| 22872 | Liberals aim to allow individuals to realise their capacities [Dewey] |
| Full Idea: Liberalism is committed to …the liberation of individuals so that realisation of their capacities may be the law of their life. | |
| From: John Dewey (The Later Works (17 vols, ed Boydston) [1930], 11:41), quoted by David Hildebrand - Dewey 4 'Dewey' | |
| A reaction: Capacity expression as the main aim of politics is precisely the idea developed more fully in modern times by Amartya Sen and Martha Nussbaum. It strikes me as an excellent proposal. Does it need liberalism, or socialism? |
| 22880 | The things in civilisation we prize are the products of other members of our community [Dewey] |
| Full Idea: The things in civilisation we most prize are not of ourselves. They exist by grace of the doings and sufferings of the continuous human community in which we are a link | |
| From: John Dewey (The Later Works (17 vols, ed Boydston) [1930], 9:57), quoted by David Hildebrand - Dewey 7 'Reconstruct' | |
| A reaction: Dewey defends liberalism, but he has strong communitarian tendencies. What is the significance of an enduring community losing touch with its own achievements? |
| 22879 | 'God' is an imaginative unity of ideal values [Dewey] |
| Full Idea: 'God' represents a unification of ideal values that is essentially imaginative in origin. | |
| From: John Dewey (The Later Works (17 vols, ed Boydston) [1930], 9:29), quoted by David Hildebrand - Dewey 7 'Construct' | |
| A reaction: This seems to have happened when a flawed God like Zeus is elevated to be the only God, and is given supreme power and wisdom. |
| 22877 | We should try attaching the intensity of religious devotion to intelligent social action [Dewey] |
| Full Idea: One of the few experiments in the attachment of emotion to ends that mankind has not tried is that of devotion (so intense as to be religious) to intelligence as a force in social action. | |
| From: John Dewey (The Later Works (17 vols, ed Boydston) [1930], 9:53), quoted by David Hildebrand - Dewey 7 'Intro' | |
| A reaction: An interesting thought that religious emotions such as devotion are so distinctive that they can be treated as valuable, even in the absence of belief. He seems to be advocating Technocracy. |
| 22878 | Religions are so shockingly diverse that they have no common element [Dewey] |
| Full Idea: There is only a multitude of religions …and the differences between them are so great and so shocking that any common element that can be extracted is meaningless. | |
| From: John Dewey (The Later Works (17 vols, ed Boydston) [1930], 9:7), quoted by David Hildebrand - Dewey 7 'Construct' | |
| A reaction: Religion is for Dewey what a game was for Wittgenstein, as an anti-essentialist example. I would have thought that they all involved some commitment to a realm of transcendent existence. |