17 ideas
| 22087 | Philosophy fails to articulate the continual becoming of existence [Kierkegaard, by Carlisle] |
| Full Idea: Kierkegaard criticise philosophy for its inability to grasp and to articulate the movement, the continual becoming, that characterises existence. | |
| From: report of Søren Kierkegaard (Either/Or: a fragment of life [1843]) by Clare Carlisle - Kierkegaard: a guide for the perplexed 2 | |
| A reaction: Heraclitus had a go, and Hegel's historicism focuses on dynamic thought, but this idea concerns the immediacy of individual life. |
| 5651 | Traditional views of truth are tautologies, and truth is empty without a subject [Kierkegaard, by Scruton] |
| Full Idea: Kierkegaard developed the idea of 'truth as subjectivity'; the traditional conceptions of truth - correspondence or coherence - he regarded as equally empty, not because false, but because tautologous; truth ceases to be empty when related to a subject. | |
| From: report of Søren Kierkegaard (Either/Or: a fragment of life [1843]) by Roger Scruton - Short History of Modern Philosophy Ch.13 | |
| A reaction: It strikes me that the correspondence theory of truth also involves a subject. If you become too obsessed with the subject, you lose the concept of truth. You need a concept of the non-subject too. Truth concerns the contents of thought. |
| 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. |
| 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. |
| 1460 | Religious experience deserves the same respect as our other key experiences, and is best called 'holy' [Taylor,AE, by PG] |
| Full Idea: We respect the religious experience of others in a similar way to our respect for their artistic or sense experiences, and the quality which makes them seem authentic can only be called 'holy'. | |
| From: report of A.E. Taylor (Vindication of Religion (extract) [1926], III) by PG - Db (ideas) |
| 22090 | For me time stands still, and I with it [Kierkegaard, by Carlisle] |
| Full Idea: Time flows, life is a stream, people say, and so on. I do not notice it. Time stands still, and I with it. | |
| From: report of Søren Kierkegaard (Either/Or: a fragment of life [1843], I:26) by Clare Carlisle - Kierkegaard: a guide for the perplexed 3 | |
| A reaction: This is from the spokesman for the aesthetic option in life, which is largely pleasure-seeking. No real choices ever occur. |
| 9305 | The plebeians bore others; only the nobility bore themselves [Kierkegaard] |
| Full Idea: Those who bore others are the plebeians, the crowd, the endless train of humanity in general; those who bore themselves are the chosen ones, the nobility. | |
| From: Søren Kierkegaard (Either/Or: a fragment of life [1843], Pt.1), quoted by Lars Svendsen - A Philosophy of Boredom Ch.2 | |
| A reaction: [p.288 in Princeton Edn] Stunningly elitist, but ask where boredom is most overtly found. "Boring" was once a very fashionable word among the English upper classes. Education and wealth seem to intensify boredom. |
| 5650 | Reason is just abstractions, so our essence needs a subjective 'leap of faith' [Kierkegaard, by Scruton] |
| Full Idea: For Kierkegaard, reason, which produces only abstractions, negates our individual essence; this essence is subjectivity, and subjectivity exists only in the 'leap of faith', whereby the individual casts in his lot with eternity. | |
| From: report of Søren Kierkegaard (Either/Or: a fragment of life [1843]) by Roger Scruton - Short History of Modern Philosophy Ch.13 | |
| A reaction: Interesting, but this strikes me as a confusion of reason and logic. A logical life would indeed be a sort of death, and need faith as an escape, but a broad view of the rational life includes emotion, imagination and laughter. Blind faith is disaster. |
| 22095 | There are aesthetic, ethical and religious subjectivity [Kierkegaard, by Carlisle] |
| Full Idea: Kierkegaard distinguishes three main types of subjectivity: aesthetic, ethical and religious. But are these types of people, or different phases of one person's life? | |
| From: report of Søren Kierkegaard (Either/Or: a fragment of life [1843]) by Clare Carlisle - Kierkegaard: a guide for the perplexed 4 | |
| A reaction: His picture of the religious mode holds no appeal for me. I also can't accept that the aesthetic and the moral are somewho distinct. People may discover they have slipped into one of these modes, but no one chooses them, do they? |
| 20747 | What matters is not right choice, but energy, earnestness and pathos in the choosing [Kierkegaard] |
| Full Idea: In making a choice, it is not so much a question of choosing the right way as of the energy, the earnestness, and the pathos with which one chooses. | |
| From: Søren Kierkegaard (Either/Or: a fragment of life [1843], p.106), quoted by Kevin Aho - Existentialism: an introduction 2 'Phenomenology' | |
| A reaction: I'm struggling to identify with the experience he is describing. I can't imagine a more quintessentially existentialist remark than this. Reference to 'energy' in choosing strikes me as very romantic. Is 'the way not taken' crucial (in 'pathos')? |
| 22091 | Kierkegaard prioritises the inward individual, rather than community [Kierkegaard, by Carlisle] |
| Full Idea: Whereas Hegel argues that individuals find fulfilment through participation in their community, Kierkegaard prioritises the inwardness of each person, which is shared only with God. | |
| From: report of Søren Kierkegaard (Either/Or: a fragment of life [1843]) by Clare Carlisle - Kierkegaard: a guide for the perplexed 3 | |
| A reaction: Sounds like the protestant religion opposing the catholic religion (although Hegel was a protestant). Individual v community is the great debate of the last two centuries in Europe. |
| 22088 | Faith is like a dancer's leap, going up to God, but also back to earth [Kierkegaard, by Carlisle] |
| Full Idea: Kierkegaard doesn't use the phrase 'leap of faith'. His metaphor of a dancer's leap expresses the way faith goes 'up' towards God, but also comes back down to earth, and is a way of living in the world. | |
| From: report of Søren Kierkegaard (Either/Or: a fragment of life [1843]) by Clare Carlisle - Kierkegaard: a guide for the perplexed 2 | |
| A reaction: This entirely contradicts what I was taught about this idea many years ago. Memes turn into Chinese whispers. |