Combining Texts

All the ideas for 'The Evolution of Modern Metaphysics', 'Existentialism: an introduction' and 'Mathematical logic and theory of types'

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19 ideas

1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
Metaphysics is the most general attempt to make sense of things [Moore,AW]
     Full Idea: Metaphysics is the most general attempt to make sense of things.
     From: A.W. Moore (The Evolution of Modern Metaphysics [2012], Intro)
     A reaction: This is the first sentence of Moore's book, and a touchstone idea all the way through. It stands up well, because it says enough without committing to too much. I have to agree with it. It implies explanation as the key. I like generality too.
1. Philosophy / H. Continental Philosophy / 2. Phenomenology
Phenomenologists say all experience is about something and is directed [Aho]
     Full Idea: Phenomenologists agree that all experience has an intentional structure, that is, my experience is always about or of something; it is always directed towards an object.
     From: Kevin Aho (Existentialism: an introduction [2014], 2 'Phenomenology')
     A reaction: I am just beginning to grasp that the analytic debates about perception are a re-enactment of the Kantian debates about the thing-in-itself. This is the sort of idea you find in McDowell. Presumably the idea denies the Given, and raw sense-data.
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Classes can be reduced to propositional functions [Russell, by Hanna]
     Full Idea: Russell held that classes can be reduced to propositional functions.
     From: report of Bertrand Russell (Mathematical logic and theory of types [1908]) by Robert Hanna - Rationality and Logic 2.4
     A reaction: The exact nature of a propositional function is disputed amongst Russell scholars (though it is roughly an open sentence of the form 'x is red').
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / d. Russell's paradox
The class of classes which lack self-membership leads to a contradiction [Russell, by Grayling]
     Full Idea: The class of teaspoons isn't a teaspoon, so isn't a member of itself; but the class of non-teaspoons is a member of itself. The class of all classes which are not members of themselves is a member of itself if it isn't a member of itself! Paradox.
     From: report of Bertrand Russell (Mathematical logic and theory of types [1908]) by A.C. Grayling - Russell Ch.2
     A reaction: A very compressed version of Russell's famous paradox, often known as the 'barber' paradox. Russell developed his Theory of Types in an attempt to counter the paradox. Frege's response was to despair of his own theory.
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
Type theory seems an extreme reaction, since self-exemplification is often innocuous [Swoyer on Russell]
     Full Idea: Russell's reaction to his paradox (by creating his theory of types) seems extreme, because many cases of self-exemplification are innocuous. The property of being a property is itself a property.
     From: comment on Bertrand Russell (Mathematical logic and theory of types [1908]) by Chris Swoyer - Properties 7.5
     A reaction: Perhaps it is not enough that 'many cases' are innocuous. We are starting from philosophy of mathematics, where precision is essentially. General views about properties come later.
Russell's improvements blocked mathematics as well as paradoxes, and needed further axioms [Russell, by Musgrave]
     Full Idea: Unfortunately, Russell's new logic, as well as preventing the deduction of paradoxes, also prevented the deduction of mathematics, so he supplemented it with additional axioms, of Infinity, of Choice, and of Reducibility.
     From: report of Bertrand Russell (Mathematical logic and theory of types [1908]) by Alan Musgrave - Logicism Revisited §2
     A reaction: The first axiom seems to be an empirical hypothesis, and the second has turned out to be independent of logic and set theory.
Type theory means that features shared by different levels cannot be expressed [Morris,M on Russell]
     Full Idea: Russell's theory of types avoided the paradoxes, but it had the result that features common to different levels of the hierarchy become uncapturable (since any attempt to capture them would involve a predicate which disobeyed the hierarchy restrictions).
     From: comment on Bertrand Russell (Mathematical logic and theory of types [1908]) by Michael Morris - Guidebook to Wittgenstein's Tractatus 2H
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
Ramified types can be defended as a system of intensional logic, with a 'no class' view of sets [Russell, by Linsky,B]
     Full Idea: A defence of the ramified theory of types comes in seeing it as a system of intensional logic which includes the 'no class' account of sets, and indeed the whole development of mathematics, as just a part.
     From: report of Bertrand Russell (Mathematical logic and theory of types [1908]) by Bernard Linsky - Russell's Metaphysical Logic 6.1
     A reaction: So Linsky's basic project is to save logicism, by resting on intensional logic (rather than extensional logic and set theory). I'm not aware that Linsky has acquired followers for this. Maybe Crispin Wright has commented?
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
A set does not exist unless at least one of its specifications is predicative [Russell, by Bostock]
     Full Idea: The idea is that the same set may well have different canonical specifications, i.e. there may be different ways of stating its membership conditions, and so long as one of these is predicative all is well. If none are, the supposed set does not exist.
     From: report of Bertrand Russell (Mathematical logic and theory of types [1908]) by David Bostock - Philosophy of Mathematics 8.1
Russell is a conceptualist here, saying some abstracta only exist because definitions create them [Russell, by Bostock]
     Full Idea: It is a conceptualist approach that Russell is relying on. ...The view is that some abstract objects ...exist only because they are definable. It is the definition that would (if permitted) somehow bring them into existence.
     From: report of Bertrand Russell (Mathematical logic and theory of types [1908]) by David Bostock - Philosophy of Mathematics 8.1
     A reaction: I'm suddenly thinking that predicativism is rather interesting. Being of an anti-platonist persuasion about abstract 'objects', I take some story about how we generate them to be needed. Psychological abstraction seems right, but a bit vague.
Vicious Circle says if it is expressed using the whole collection, it can't be in the collection [Russell, by Bostock]
     Full Idea: The Vicious Circle Principle says, roughly, that whatever involves, or presupposes, or is only definable in terms of, all of a collection cannot itself be one of the collection.
     From: report of Bertrand Russell (Mathematical logic and theory of types [1908], p.63,75) by David Bostock - Philosophy of Mathematics 8.1
     A reaction: This is Bostock's paraphrase of Russell, because Russell never quite puts it clearly. The response is the requirement to be 'predicative'. Bostock emphasises that it mainly concerns definitions. The Principle 'always leads to hierarchies'.
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / b. Transcendental idealism
Appearances are nothing beyond representations, which is transcendental ideality [Moore,AW]
     Full Idea: Appearances in general are nothing outside our representations, which is just what we mean by transcendental ideality.
     From: A.W. Moore (The Evolution of Modern Metaphysics [2012], B535/A507)
14. Science / B. Scientific Theories / 2. Aim of Science
Science has to abstract out the subjective attributes of things, focusing on what is objective [Aho]
     Full Idea: Crucial to the scientific method is the ability to abstract out the subjective qualities that we give to things - such as beauty, meaning, purpose, and value - and focus only on the objective qualities of things, which can be measured and quantified.
     From: Kevin Aho (Existentialism: an introduction [2014], 1 'Emergence')
     A reaction: This seems to me exactly right. People who deny the primary/secondary distinction, like Hume, are usually correspondingly pessimistic about science. And Hume was wrong about that.
23. Ethics / F. Existentialism / 3. Angst
Anxiety, nausea, guilt and absurdity shake us up, revealing our freedom and limits [Aho]
     Full Idea: Some moods, such as 'anxiety' (Heidegger), 'nausea' (Sartre), 'guilt' (Kierkegaard), and 'absurdity' (Camus) are important because they have the capacity to shake us out of complacency and self-deception, disclosing our freedom and finitude.
     From: Kevin Aho (Existentialism: an introduction [2014], Pref 'What?)
     A reaction: [bit compressed] Problem: if I fail to feel such things, and deliberately induce them in myself, am I being inauthentic? Making a huge and unnatural effort to be an existentialist seems all wrong. And who wants the permanent grip of such feelings?
23. Ethics / F. Existentialism / 5. Existence-Essence
Our 'existence' is how we create ourselves, unconstrained by any prior 'essence' [Aho]
     Full Idea: 'Existence precedes essence' means there is no pre-given 'essence' that determines who and what we are. We are self-making beings.
     From: Kevin Aho (Existentialism: an introduction [2014], Pref 'What?)
     A reaction: This not a yes/no dilemma. Personally I believe (with Aristotle, and Steven Pinker) that there is a fairly comprehensive 'human nature' which we all share, and is the basis of ethics. On top of that, though, a fair bit of 'self-making' can go on.
23. Ethics / F. Existentialism / 6. Authentic Self
The self is constituted by its choices made within a social context [Aho]
     Full Idea: The [existential] self is constituted by the continuous, open-ended process of choosing and pulling together the social interpretations that we care about and that are made available by the situation we grow into.
     From: Kevin Aho (Existentialism: an introduction [2014], 4 'Self')
     A reaction: These kind of explanations always seem wrong. That the self is influenced and moulded strongly by the choices it makes sounds right. But that the choices 'constitute' the chooser sounds like a bit of a muddle.
24. Political Theory / B. Nature of a State / 2. State Legitimacy / c. Social contract
Social contracts and markets have made society seem disconnected and artificial [Aho]
     Full Idea: Modern society has come to be viewed as something artificial, an aggregate of disconnected individuals that is held together by instrumental social contracts and monetary exchanges.
     From: Kevin Aho (Existentialism: an introduction [2014], 1 'Emergence')
     A reaction: This is all long of you, Thomas Hobbes! Aho is explaining the rebellion of existentialists against this - though existentialism strikes me as another variant of liberal individualism.
29. Religion / B. Monotheistic Religion / 4. Christianity / a. Christianity
Protestantism brought the modern emphasis on inner states of the soul [Aho]
     Full Idea: An important development in the formation of the modern worldview was the emergence of Protestantism, that reconfigured the self by privileging the inner states of the soul. Salvation concerns inner feelings, thoughts and desires, which can be genuine.
     From: Kevin Aho (Existentialism: an introduction [2014], 1 'Emergence')
     A reaction: [bit compressed] He is preparing the historical background for the existentialist concept of authenticity. We can link this Protestant idea with Descartes's Cogito, which grounds knowledge in the inner self.
29. Religion / C. Spiritual Disciplines / 3. Buddhism
Four Noble Truths: life is suffering, caused by attachment, it is avoidable, there is a path [Aho]
     Full Idea: The teachings of the Buddha are summarised in 'four noble truths': 1) life means suffering, 2) the origin of suffering is attachment, 3) the end of suffering is attainable, and 4) the path to the end of suffering.
     From: Kevin Aho (Existentialism: an introduction [2014], 9 'dukkha')
     A reaction: 1) and 2) summarise everything I dislike about most eastern philosophy. In the modern world life does not have to be suffering. To break off attachments in order to avoid suffering is a hideous injunction.