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All the ideas for '', 'Sets and Numbers' and 'Impossible Objects: interviews'

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22 ideas

1. Philosophy / C. History of Philosophy / 2. Ancient Philosophy / b. Pre-Socratic philosophy
Philosophy really got started as the rival mode of discourse to tragedy [Critchley]
     Full Idea: The pre-Socratics are interesting, but philosophy really begins in drama; it's a competitive discourse to tragedy. Which is why Plato's 'Republic' excludes the poets: they're the competition; gotta get rid of them.
     From: Simon Critchley (Impossible Objects: interviews [2012], 6)
     A reaction: That's an interesting and novel perspective. So what was the 'discourse' of tragedy saying, and why did that provoke the new rival? Was it too fatalistic?
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / d. Philosophy as puzzles
Philosophy begins in disappointment, notably in religion and politics [Critchley]
     Full Idea: I claim that philosophy begins in disappointment, and there are two forms of disappointment that interest me: religious and political disappointment
     From: Simon Critchley (Impossible Objects: interviews [2012], 2)
     A reaction: You are only disappointed by reality if you expected something better. To be disappointed by the failures of religion strikes me as rather old-fashioned, which Critchley sort of admits. Given the size and tumult of modern states, politics isn't promising.
1. Philosophy / G. Scientific Philosophy / 3. Scientism
Science gives us an excessively theoretical view of life [Critchley]
     Full Idea: One of the problems with the scientific worldview is that it leads human beings to have an overwhelmingly theoretical relationship to the world.
     From: Simon Critchley (Impossible Objects: interviews [2012], 2)
     A reaction: Critchley is defending phenomenology, but this also supports its cousin, existentialism. I keep meeting bright elderly men who have immersed themselves in the study of science, and they seem very remote from the humanist culture I love.
1. Philosophy / H. Continental Philosophy / 2. Phenomenology
Phenomenology uncovers and redescribes the pre-theoretical layer of life [Critchley]
     Full Idea: Phenomenology is a philosophical method that tries to uncover the pre-theoretical layer of human experience and redescribe it.
     From: Simon Critchley (Impossible Objects: interviews [2012], 2)
     A reaction: I would be delighted if someone could tell me what this means in practice. I have the impression of lots of talk about phenomenology, but not much doing of it. Clearly I must enquire further.
4. Formal Logic / F. Set Theory ST / 7. Natural Sets
The master science is physical objects divided into sets [Maddy]
     Full Idea: The master science can be thought of as the theory of sets with the entire range of physical objects as ur-elements.
     From: Penelope Maddy (Sets and Numbers [1981], II)
     A reaction: This sounds like Quine's view, since we have to add sets to our naturalistic ontology of objects. It seems to involve unrestricted mereology to create normal objects.
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
If a sound conclusion comes from two errors that cancel out, the path of the argument must matter [Rumfitt]
     Full Idea: If a designated conclusion follows from the premisses, but the argument involves two howlers which cancel each other out, then the moral is that the path an argument takes from premisses to conclusion does matter to its logical evaluation.
     From: Ian Rumfitt ("Yes" and "No" [2000], II)
     A reaction: The drift of this is that our view of logic should be a little closer to the reasoning of ordinary language, and we should rely a little less on purely formal accounts.
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
Standardly 'and' and 'but' are held to have the same sense by having the same truth table [Rumfitt]
     Full Idea: If 'and' and 'but' really are alike in sense, in what might that likeness consist? Some philosophers of classical logic will reply that they share a sense by virtue of sharing a truth table.
     From: Ian Rumfitt ("Yes" and "No" [2000])
     A reaction: This is the standard view which Rumfitt sets out to challenge.
The sense of a connective comes from primitively obvious rules of inference [Rumfitt]
     Full Idea: A connective will possess the sense that it has by virtue of its competent users' finding certain rules of inference involving it to be primitively obvious.
     From: Ian Rumfitt ("Yes" and "No" [2000], III)
     A reaction: Rumfitt cites Peacocke as endorsing this view, which characterises the logical connectives by their rules of usage rather than by their pure semantic value.
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Set theory (unlike the Peano postulates) can explain why multiplication is commutative [Maddy]
     Full Idea: If you wonder why multiplication is commutative, you could prove it from the Peano postulates, but the proof offers little towards an answer. In set theory Cartesian products match 1-1, and n.m dots when turned on its side has m.n dots, which explains it.
     From: Penelope Maddy (Sets and Numbers [1981], II)
     A reaction: 'Turning on its side' sounds more fundamental than formal set theory. I'm a fan of explanation as taking you to the heart of the problem. I suspect the world, rather than set theory, explains the commutativity.
Standardly, numbers are said to be sets, which is neat ontology and epistemology [Maddy]
     Full Idea: The standard account of the relationship between numbers and sets is that numbers simply are certain sets. This has the advantage of ontological economy, and allows numbers to be brought within the epistemology of sets.
     From: Penelope Maddy (Sets and Numbers [1981], III)
     A reaction: Maddy votes for numbers being properties of sets, rather than the sets themselves. See Yourgrau's critique.
Numbers are properties of sets, just as lengths are properties of physical objects [Maddy]
     Full Idea: I propose that ...numbers are properties of sets, analogous, for example, to lengths, which are properties of physical objects.
     From: Penelope Maddy (Sets and Numbers [1981], III)
     A reaction: Are lengths properties of physical objects? A hole in the ground can have a length. A gap can have a length. Pure space seems to contain lengths. A set seems much more abstract than its members.
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory
Sets exist where their elements are, but numbers are more like universals [Maddy]
     Full Idea: A set of things is located where the aggregate of those things is located, ...but a number is simultaneously located at many different places (10 in my hand, and a baseball team) ...so numbers seem more like universals than particulars.
     From: Penelope Maddy (Sets and Numbers [1981], III)
     A reaction: My gut feeling is that Maddy's master idea (of naturalising sets by building them from ur-elements of natural objects) won't work. Sets can work fine in total abstraction from nature.
Number theory doesn't 'reduce' to set theory, because sets have number properties [Maddy]
     Full Idea: I am not suggesting a reduction of number theory to set theory ...There are only sets with number properties; number theory is part of the theory of finite sets.
     From: Penelope Maddy (Sets and Numbers [1981], V)
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
If mathematical objects exist, how can we know them, and which objects are they? [Maddy]
     Full Idea: The popular challenges to platonism in philosophy of mathematics are epistemological (how are we able to interact with these objects in appropriate ways) and ontological (if numbers are sets, which sets are they).
     From: Penelope Maddy (Sets and Numbers [1981], I)
     A reaction: These objections refer to Benacerraf's two famous papers - 1965 for the ontology, and 1973 for the epistemology. Though he relied too much on causal accounts of knowledge in 1973, I'm with him all the way.
6. Mathematics / C. Sources of Mathematics / 5. Numbers as Adjectival
Number words are unusual as adjectives; we don't say 'is five', and numbers always come first [Maddy]
     Full Idea: Number words are not like normal adjectives. For example, number words don't occur in 'is (are)...' contexts except artificially, and they must appear before all other adjectives, and so on.
     From: Penelope Maddy (Sets and Numbers [1981], IV)
     A reaction: [She is citing Benacerraf's arguments]
19. Language / F. Communication / 3. Denial
We learn 'not' along with affirmation, by learning to either affirm or deny a sentence [Rumfitt]
     Full Idea: The standard view is that affirming not-A is more complex than affirming the atomic sentence A itself, with the latter determining its sense. But we could learn 'not' directly, by learning at once how to either affirm A or reject A.
     From: Ian Rumfitt ("Yes" and "No" [2000], IV)
     A reaction: [compressed] This seems fairly anti-Fregean in spirit, because it looks at the psychology of how we learn 'not' as a way of clarifying what we mean by it, rather than just looking at its logical behaviour (and thus giving it a secondary role).
21. Aesthetics / B. Nature of Art / 8. The Arts / b. Literature
Wallace Stevens is the greatest philosophical poet of the twentieth century in English [Critchley]
     Full Idea: Wallace Stevens is the greatest philosophical poet of the twentieth century in the English language - full stop - in my humble opinion.
     From: Simon Critchley (Impossible Objects: interviews [2012], 6)
     A reaction: I include this because I tend to agree, and love Stevens. Hear recordings of him reading. I once mentioned Stevens in a conversation with Ted Hughes, and he just shrugged and said Stevens 'wasn't much of a poet'. Wrong.
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Interesting art is always organised around ethical demands [Critchley]
     Full Idea: I don't think that art can be unethical. I think that interesting art is always ethical. It is organised around ethical demands.
     From: Simon Critchley (Impossible Objects: interviews [2012], 8)
     A reaction: It is a struggle to make this fit instrumental music. Critchley likes punk rock, so he might not see the problem. How to compare Bachian, Mozart, Beethovenian and Debussyian ethics? Not impossible.
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / d. Ethical theory
The problems is not justifying ethics, but motivating it. Why should a self seek its good? [Critchley]
     Full Idea: The issue is not so much justification as motivation, that in virtue of which the self can be motivated to act on some conception of the good. ...How does a self bind itself to whatever it determines as its good?
     From: Simon Critchley (Impossible Objects: interviews [2012], 2)
     A reaction: That is a bold and interesting idea about the starting point for ethics. It is always a problem for Aristotle, that he can offer no motivation for the quest for virtue. Contractarians start from existing motivations, but that isn't impressive.
24. Political Theory / D. Ideologies / 2. Anarchism
Anarchism used to be libertarian (especially for sexuality), but now concerns responsibility [Critchley]
     Full Idea: Anarchism in the 1960s was libertarian and organised around issues of sexual liberation. That moment has passed. People are and should be organising around responsibility.
     From: Simon Critchley (Impossible Objects: interviews [2012], 3)
     A reaction: So there are two types of anarchism, focused on freedom or on responsibility. An organisation like Greenpeace might represent the latter.
The state, law, bureaucracy and capital are limitations on life, so I prefer federalist anarchism [Critchley]
     Full Idea: I begin with the ontological premise that the state is a limitation on human existence. I am against the state, law, bureaucracy, and capital. I see anarchism as the only desirable way of organising, politically. ...Its political form is federalist.
     From: Simon Critchley (Impossible Objects: interviews [2012], 3)
     A reaction: Hm. Some sympathy, but caution. All systems, even federalist anarchism, are limitations on our lives, so which limitations do we prefer? The law aspires to a calm egalitarian neutrality, which seems promising to me.
24. Political Theory / D. Ideologies / 3. Conservatism
Belief that humans are wicked leads to authoritarian politics [Critchley]
     Full Idea: If you think human beings are wicked, you turn to an authoritarian conception of politics, the Hobbesian-Machiavellian-Straussian lie.
     From: Simon Critchley (Impossible Objects: interviews [2012], 3)
     A reaction: Right-wingers also tend to believe in free will, so they can blame and punish. Good people are more inspired by a great leader than bad people are? (Later, Critchley says authoritarians usually believe in original sin).