11 ideas
| 7068 | If infatuation with science leads to bad scientism, its rejection leads to obscurantism [Critchley] |
| Full Idea: If what is mistaken in much contemporary philosophy is its infatuation with science, which leads to scientism, then the equally mistaken rejection of science leads to obscurantism. | |
| From: Simon Critchley (Continental Philosophy - V. Short Intro [2001], Ch.1) | |
| A reaction: Clearly a balance has to be struck. I take philosophy to be a quite separate discipline from science, but it is crucial that philosophy respects the physical facts, and scientists are the experts there. Scientists are philosophers' most valued servants. |
| 7075 | To meet the division in our life, try the Subject, Nature, Spirit, Will, Power, Praxis, Unconscious, or Being [Critchley] |
| Full Idea: Against the Kantian division of a priori and empirical, Fichte offered activity of the subject, Schelling offered natural force, Hegel offered Spirit, Schopenhauer the Will, Nietzsche power, Marx praxis, Freud the unconscious, and Heidegger offered Being. | |
| From: Simon Critchley (Continental Philosophy - V. Short Intro [2001]) | |
| A reaction: The whole of Continental Philosophy summarised in a sentence. Fichte and Schopenhauer seem to point to existentialism, Schelling gives evolutionary teleology, Marx abandons philosophy, the others are up the creek. |
| 7069 | The French keep returning, to Hegel or Nietzsche or Marx [Critchley] |
| Full Idea: French philosophy since the 1930s might be described as a series of returns: to Hegel (in Kojève and early Sartre), to Nietzsche (in Foucault and Deleuze), or to Marx (in Althusser). | |
| From: Simon Critchley (Continental Philosophy - V. Short Intro [2001], Ch.2) | |
| A reaction: An interesting map. The question might be why they return to those three, rather than (say) Hume or Leibniz. If the choice of which one you return to a matter of 'taste' (as Nietzsche would have it)? |
| 17892 | For clear questions posed by reason, reason can also find clear answers [Gödel] |
| Full Idea: I uphold the belief that for clear questions posed by reason, reason can also find clear answers. | |
| From: Kurt Gödel (works [1930]), quoted by Peter Koellner - On the Question of Absolute Undecidability 1.5 | |
| A reaction: [written in 1961] This contradicts the implication normally taken from his much earlier Incompleteness Theorems. |
| 9188 | Gödel proved that first-order logic is complete, and second-order logic incomplete [Gödel, by Dummett] |
| Full Idea: Gödel proved the completeness of standard formalizations of first-order logic, including Frege's original one. However, an implication of his famous theorem on the incompleteness of arithmetic is that second-order logic is incomplete. | |
| From: report of Kurt Gödel (works [1930]) by Michael Dummett - The Philosophy of Mathematics 3.1 | |
| A reaction: This must mean that it is impossible to characterise arithmetic fully in terms of first-order logic. In which case we can only characterize the features of abstract reality in general if we employ an incomplete system. We're doomed. |
| 10620 | Originally truth was viewed with total suspicion, and only demonstrability was accepted [Gödel] |
| Full Idea: At that time (c.1930) a concept of objective mathematical truth as opposed to demonstrability was viewed with greatest suspicion and widely rejected as meaningless. | |
| From: Kurt Gödel (works [1930]), quoted by Peter Smith - Intro to Gödel's Theorems 28.2 | |
| A reaction: [quoted from a letter] This is the time of Ramsey's redundancy account, and before Tarski's famous paper of 1933. It is also the high point of Formalism, associated with Hilbert. |
| 17883 | Gödel's Theorems did not refute the claim that all good mathematical questions have answers [Gödel, by Koellner] |
| Full Idea: Gödel was quick to point out that his original incompleteness theorems did not produce instances of absolute undecidability and hence did not undermine Hilbert's conviction that for every precise mathematical question there is a discoverable answer. | |
| From: report of Kurt Gödel (works [1930]) by Peter Koellner - On the Question of Absolute Undecidability Intro | |
| A reaction: The normal simplistic view among philosophes is that Gödel did indeed decisively refute the optimistic claims of Hilbert. Roughly, whether Hilbert is right depends on which axioms of set theory you adopt. |
| 17885 | Gödel eventually hoped for a generalised completeness theorem leaving nothing undecidable [Gödel, by Koellner] |
| Full Idea: Eventually Gödel ...expressed the hope that there might be a generalised completeness theorem according to which there are no absolutely undecidable sentences. | |
| From: report of Kurt Gödel (works [1930]) by Peter Koellner - On the Question of Absolute Undecidability Intro | |
| A reaction: This comes as a bit of a shock to those who associate him with the inherent undecidability of reality. |
| 10614 | The real reason for Incompleteness in arithmetic is inability to define truth in a language [Gödel] |
| Full Idea: The concept of truth of sentences in a language cannot be defined in the language. This is the true reason for the existence of undecidable propositions in the formal systems containing arithmetic. | |
| From: Kurt Gödel (works [1930]), quoted by Peter Smith - Intro to Gödel's Theorems 21.6 | |
| A reaction: [from a letter by Gödel] So they key to Incompleteness is Tarski's observations about truth. Highly significant, as I take it. |
| 468 | Musical performance can reveal a range of virtues [Damon of Ath.] |
| Full Idea: In singing and playing the lyre, a boy will be likely to reveal not only courage and moderation, but also justice. | |
| From: Damon (fragments/reports [c.460 BCE], B4), quoted by (who?) - where? |
| 7067 | Food first, then ethics [Critchley] |
| Full Idea: Food first, then ethics. | |
| From: Simon Critchley (Continental Philosophy - V. Short Intro [2001], 8857) | |
| A reaction: This is not a dismissal of philosophy, but a key fact which ethical philosophers must face up to. See Mr Doolittle's speech in Shaw's 'Pygmalion. It connects to the debate c.1610 about whether one is entitled to grab someone's plank to avoid drowning. |