16 ideas
| 9777 | Kant was the first philosopher [Zizek] |
| Full Idea: From today's perspective it is in a way clear that Kant was the first philosopher. Pre-Kantian philosophy cannot think in his transcendental aspect. | |
| From: Slavoj Zizek (Conversations, with Glyn Daly [2004], §1) | |
| A reaction: It is probably equally plausible to say that Kant was the last philosopher. More thought-provoking than true. |
| 9778 | There is no dialogue in philosophy [Zizek] |
| Full Idea: I think I truly became a philosopher when I realised that there is no dialogue in philosophy. Plato's dialogues are clearly fakes, with one guy talking most of the time. ...Philosophy as an interdisciplinary project is the ultimate nightmare. | |
| From: Slavoj Zizek (Conversations, with Glyn Daly [2004], §1) | |
| A reaction: This goes against all my prejudices in favour of teamwork and mutual criticism (e.g. Idea 1576), but I was a bit shaken by it, and have begun to wonder whether I must just face up to the solitary nature of the enterprise. |
| 9779 | Philosophy is transcendental questioning (not supporting science or constructing ontology) [Zizek] |
| Full Idea: Philosophy can no longer play its traditional roles, giving foundations to science, or constructing general ontology. It should simply fulfil its task of transcendental questioning. | |
| From: Slavoj Zizek (Conversations, with Glyn Daly [2004], §2) | |
| A reaction: I remain unsure what is being recommended, unless it is for philosophy to start asking questions just at the point where everyone else gives up. |
| 18739 | Three stages of philosophical logic: syntactic (1905-55), possible worlds (1963-85), widening (1990-) [Horsten/Pettigrew] |
| Full Idea: Three periods can be distinguished in philosophical logic: the syntactic stage, from Russell's definite descriptions to the 1950s, the dominance of possible world semantics from the 50s to 80s, and a current widening of the subject. | |
| From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 1) | |
| A reaction: [compressed] I've read elsewhere that the arrival of Tarski's account of truth in 1933, taking things beyond the syntactic, was also a landmark. |
| 18741 | Logical formalization makes concepts precise, and also shows their interrelation [Horsten/Pettigrew] |
| Full Idea: Logical formalization forces the investigator to make the central philosophical concepts precise. It can also show how some philosophical concepts and objects can be defined in terms of others. | |
| From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 2) | |
| A reaction: This is the main rationale of the highly formal and mathematical approach to such things. The downside is when you impose 'precision' on language that was never intended to be precise. |
| 18744 | Models are sets with functions and relations, and truth built up from the components [Horsten/Pettigrew] |
| Full Idea: A (logical) model is a set with functions and relations defined on it that specify the denotation of the non-logical vocabulary. A series of recursive clauses explicate how truth values of complex sentences are compositionally determined from the parts. | |
| From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 3) | |
| A reaction: See the ideas on 'Functions in logic' and 'Relations in logic' (in the alphabetical list) to expand this important idea. |
| 12427 | All of mathematics is properties of the whole numbers [Kronecker] |
| Full Idea: All the results of significant mathematical research must ultimately be expressible in the simple forms of properties of whole numbers. | |
| From: Leopold Kronecker (works [1885], Vol 3/274), quoted by Philip Kitcher - The Nature of Mathematical Knowledge 09.5 | |
| A reaction: I've always liked Kronecker's line, but I'm beginning to realise that his use of the word 'number' is simply out-of-date. Natural numbers have a special status, but not sufficient to support this claim. |
| 10091 | God made the integers, all the rest is the work of man [Kronecker] |
| Full Idea: God made the integers, all the rest is the work of man. | |
| From: Leopold Kronecker (works [1885]), quoted by A.George / D.J.Velleman - Philosophies of Mathematics Intro | |
| A reaction: This famous remark was first quoted in Kronecker's obituary. A response to Dedekind, it seems. See Idea 10090. Did he really mean that negative numbers were the work of God? We took a long time to spot them. |
| 18740 | If 'exist' doesn't express a property, we can hardly ask for its essence [Horsten/Pettigrew] |
| Full Idea: If there is indeed no property of existence that is expressed by the word 'exist', then it makes no sense to ask for its essence. | |
| From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 2) | |
| A reaction: As far as I can tell, this was exactly Aristotle's conclusion, so he skirted round the question of 'being qua being', and focused on the nature of objects instead. Grand continental talk of 'Being' doesn't sound very interesting. |
| 18745 | A Tarskian model can be seen as a possible state of affairs [Horsten/Pettigrew] |
| Full Idea: A Tarskian model can in a sense be seen as a model of a possible state of affairs. | |
| From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 3) | |
| A reaction: I include this remark to show how possible worlds semantics built on the arrival of model theory. |
| 18747 | The 'spheres model' was added to possible worlds, to cope with counterfactuals [Horsten/Pettigrew] |
| Full Idea: The notion of a possible worlds model was extended (resulting in the concept of a 'spheres model') in order to obtain a satisfactory logical treatment of counterfactual conditional sentences. | |
| From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 4) | |
| A reaction: Thus we add 'centred' worlds, and an 'actual' world, to the loose original model. It is important to remember when we discuss 'close' worlds that we are then committed to these presuppositions. |
| 18748 | Epistemic logic introduced impossible worlds [Horsten/Pettigrew] |
| Full Idea: The idea of 'impossible worlds' was introduced into epistemic logic. | |
| From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 4) | |
| A reaction: Nathan Salmon seems interested in their role in metaphysics (presumably in relation to Meinongian impossible objects, like circular squares, which must necessarily be circular). |
| 18746 | Possible worlds models contain sets of possible worlds; this is a large metaphysical commitment [Horsten/Pettigrew] |
| Full Idea: Each possible worlds model contains a set of possible worlds. For this reason, possible worlds semantics is often charged with smuggling in heavy metaphysical commitments. | |
| From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 3) | |
| A reaction: To a beginner it looks very odd that you should try to explain possibility by constructing a model of it in terms of 'possible' worlds. |
| 18750 | Using possible worlds for knowledge and morality may be a step too far [Horsten/Pettigrew] |
| Full Idea: When the possible worlds semantics were further extended to model notions of knowledge and of moral obligation, the application was beginning to look distinctly forced and artificial. | |
| From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 5) | |
| A reaction: They accept lots of successes in modelling necessity and time. |
| 9780 | Consciousness is a malfunction of evolution [Zizek] |
| Full Idea: Consciousness is a kind of mistake, a malfunction of evolution, and out of this mistake a miracle occurred. | |
| From: Slavoj Zizek (Conversations, with Glyn Daly [2004], §2) | |
| A reaction: Rather hard to prove, but actually quite an uplifting thought. If consciousness only evolved so that we could navigate and defend ourselves, our 'higher' activities seem irrelevant. But Zizek's view means we can make them central. Nice. |
| 9781 | Tolerance and love are strategies to avoid encountering our neighbours [Zizek] |
| Full Idea: All this preaching about tolerance, love for one's neighbour and so on, are ultimately strategies to avoid encountering the neighbour. | |
| From: Slavoj Zizek (Conversations, with Glyn Daly [2004], §2) | |
| A reaction: I have begun to wonder whether some such motivation underlies the modern obsession with raising huge sums for charity. |