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All the ideas for 'Mathematical Methods in Philosophy', 'The Mystery of Consciousness' and 'The Theory of Objects'

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28 ideas

4. Formal Logic / E. Nonclassical Logics / 6. Free Logic
So-called 'free logic' operates without existence assumptions [Meinong, by George/Van Evra]
     Full Idea: Meinong has recently been credited with inspiring 'free logic': a logic without existence assumptions.
     From: report of Alexius Meinong (The Theory of Objects [1904]) by George / Van Evra - The Rise of Modern Logic 8
     A reaction: This would appear to be a bold escape from the quandries concerning the existential implications of quantifiers. I immediately find it very appealing. It seems to spell disaster for the Quinean program of deducing ontology from language.
5. Theory of Logic / A. Overview of Logic / 9. Philosophical Logic
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.
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
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.
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
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.
7. Existence / A. Nature of Existence / 1. Nature of Existence
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.
7. Existence / C. Structure of Existence / 2. Reduction
Reduction is either by elimination, or by explanation [Searle]
     Full Idea: One sense of 'reduction' is eliminative, in getting rid of a phenomenon by showing that it is really something else (as the earth's rotation eliminates 'sunsets'), but another sense does not get rid of it (as in the explanation of solidity by molecules).
     From: John Searle (The Mystery of Consciousness [1997], Ch.2)
     A reaction: These are bad analogies. You can't 'eliminate' a sunset - you just accept that the event is relative to a viewpoint. If we are discussing ontology, we will not admit the existence of sunsets, but we won't have an ontological category of 'solidity' either.
Eliminative reduction needs a gap between appearance and reality, as in sunsets [Searle]
     Full Idea: Eliminative reductions require a distinction between reality and appearance; for example, the sun appears to set but the reality is that the earth rotates.
     From: John Searle (The Mystery of Consciousness [1997], Concl 2.10)
     A reaction: A bad analogy. You don't 'eliminate' sunsets. It is just 'Galilean' relativity - you thought it was your train moving, then you discover it was the other one. You don't eliminate hallucinations when you show that they don't correspond to reality.
8. Modes of Existence / B. Properties / 3. Types of Properties
A property is 'emergent' if it is caused by elements of a system, when the elements lack the property [Searle]
     Full Idea: An emergent property of a system is causally explained by elements of the system, but it is not a property of the elements, and cannot be explained by a summation of their properties. The behaviour of H2O explains liquidity, but molecules aren't liquid.
     From: John Searle (The Mystery of Consciousness [1997], Ch.1)
     A reaction: The genie is 'emergent' from the lamp, and so (in Searle's meaning) is the lamp's solidity. I agree that the mind is 'emergent' in Searle's very weak sense, if that only means that one neuron can't be conscious, but lots together can.
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
There can be impossible and contradictory objects, if they can have properties [Meinong, by Friend]
     Full Idea: Meinong (and Priest) leave room for impossible objects (like a mountain made entirely of gold), and even contradictory objects (such as a round square). This would have a property, of 'being a contradictory object'.
     From: report of Alexius Meinong (The Theory of Objects [1904]) by Michèle Friend - Introducing the Philosophy of Mathematics 6.8
     A reaction: This view is only possible with a rather lax view of properties. Personally I don't take 'being a pencil' to be a property of a pencil. It might be safer to just say that 'round squares' are possible linguistic subjects of predication.
9. Objects / A. Existence of Objects / 3. Objects in Thought
There are objects of which it is true that there are no such objects [Meinong]
     Full Idea: There are objects of which it is true that there are no such objects.
     From: Alexius Meinong (The Theory of Objects [1904]), quoted by Peter van Inwagen - Existence,Ontological Commitment and Fictions p.131
     A reaction: Van Inwagen say this idea is 'infamous', but Meinong is undergoing a revival, and commitment to non-existent objects may be the best explanation of some ways of talking.
Meinong says an object need not exist, but must only have properties [Meinong, by Friend]
     Full Idea: Meinong distinguished between 'existing objects' and 'subsisting objects', and being an object does not imply existence, but only 'having properties'.
     From: report of Alexius Meinong (The Theory of Objects [1904]) by Michèle Friend - Introducing the Philosophy of Mathematics 6.8
     A reaction: Meinong is treated as a joke (thanks to Russell), but this is good. "Father Christmas does not exist, but he has a red coat". He'd better have some sort of existy aspect if he is going to have a property. So he's 'an object'. 'Insubstantial'?
9. Objects / A. Existence of Objects / 4. Impossible objects
Meinong said all objects of thought (even self-contradictions) have some sort of being [Meinong, by Lycan]
     Full Idea: Meinong insisted (à la Anselm) that any possible object of thought - even a self-contradictory one - has being of a sort even though only a few such things are so lucky as to exist in reality as well.
     From: report of Alexius Meinong (The Theory of Objects [1904]) by William Lycan - Philosophy of Language Ch.1
     A reaction: ['This idea gave Russell fits' says Lycan]. In the English-speaking world this is virtually the only idea for which Meinong is remembered. Russell (Idea 5409) was happy for some things to merely 'subsist' as well as others which could 'exist'.
The objects of knowledge are far more numerous than objects which exist [Meinong]
     Full Idea: The totality of what exists, including what has existed and what will exist, is infinitely small in comparison with the totality of Objects of knowledge.
     From: Alexius Meinong (The Theory of Objects [1904]), quoted by William Lycan - The Trouble with Possible Worlds 01
     A reaction: This is rather profound, but the word 'object' doesn't help. I would say 'What we know concerns far more than what merely exists'.
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
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.
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.
10. Modality / E. Possible worlds / 1. Possible Worlds / b. Impossible worlds
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).
10. Modality / E. Possible worlds / 1. Possible Worlds / e. Against possible worlds
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.
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.
15. Nature of Minds / A. Nature of Mind / 5. Unity of Mind
Explanation of how we unify our mental stimuli into a single experience is the 'binding problem' [Searle]
     Full Idea: The 'binding problem' is how to explain how the brain binds all our different stimuli into a single unified experience of an object.
     From: John Searle (The Mystery of Consciousness [1997], Ch.2)
     A reaction: This may be the best way of expressing what philosophers call (after Chalmers) the 'Hard Question'. Large objects are held together by gravity, and small objects by electro-magnetism. We don't see a 'binding problem' in the function of a leaf.
15. Nature of Minds / B. Features of Minds / 1. Consciousness / a. Consciousness
A system is either conscious or it isn't, though the intensity varies a lot [Searle]
     Full Idea: A system is either conscious or it isn't, but within the field of consciousness there are states of intensity ranging from drowsiness to full awareness.
     From: John Searle (The Mystery of Consciousness [1997], Ch.1)
     A reaction: I think this all-or-nothing view is the last vestiges of Cartesian dualism, and is quite wrong. Heaps of neuroscience (about blindsight, subliminal awareness, neurosis etc.) says we will never understand the mind if we think it is only the conscious part.
Consciousness has a first-person ontology, which only exists from a subjective viewpoint [Searle]
     Full Idea: Consciousness has a first-person or subjective ontology, by which I mean that conscious states only exist when experienced by a subject and they exist only from the first-person point of view of that subject.
     From: John Searle (The Mystery of Consciousness [1997], Ch.5 App)
     A reaction: I think this is nonsense, and I don't think Searle believes it. He ruthlessly attacks so-called 'eliminativists', but the definition he gives here would make him an eliminativist about other minds. There is no such thing as 'first-person' ontology.
There isn't one consciousness (information-processing) which can be investigated, and another (phenomenal) which can't [Searle]
     Full Idea: There are not two kinds of consciousness, an information-processing consciousness that is amenable to scientific investigation and a phenomenal, what-it-subjectively-feels-like form of consciousness that will forever remain mysterious.
     From: John Searle (The Mystery of Consciousness [1997], Concl.1)
     A reaction: Fodor appears to be the main target of this remark. The view that we can explain intentionality but not qualia is currently very fashionable. I am sympathetic to Searle here. Consciousness isn't an epiphenomenon, it is essential to all thought.
15. Nature of Minds / B. Features of Minds / 5. Qualia / a. Nature of qualia
The use of 'qualia' seems to imply that consciousness and qualia are separate [Searle]
     Full Idea: I am hesitant to use the word 'quale/qualia', because it gives the impression that there are two separate phenomena, consciousness and qualia.
     From: John Searle (The Mystery of Consciousness [1997], Ch.1)
     A reaction: He is trying to resist going back to 'sense-data', sitting uneasily between reality and our experience of it. Personally I am quite happy with qualia as an aspect of consciousness - just as I am happy with consciousness as an 'aspect' of brain.
17. Mind and Body / C. Functionalism / 7. Chinese Room
I now think syntax is not in the physics, but in the eye of the beholder [Searle]
     Full Idea: It seems to me now that syntax is not intrinsic to the physics of the system, but is in the eye of the beholder.
     From: John Searle (The Mystery of Consciousness [1997], Ch.1)
     A reaction: This seems right, in that whether strung beads are a toy or an abacus depends on the user. It doesn't follow that the 'beholder' stands outside the physics. A beholder is another physical system, of a particular type of high complexity.
17. Mind and Body / D. Property Dualism / 1. Reductionism critique
Consciousness has a first-person ontology, so it cannot be reduced without omitting something [Searle]
     Full Idea: Consciousness has a first-person or subjective ontology and so cannot be reduced to anything that has third-person or objective ontology. If you try to reduce or eliminate one in favour of the other you leave something out.
     From: John Searle (The Mystery of Consciousness [1997], Concl 2.10)
     A reaction: Misconceived. There is no such thing as 'first-person' ontology, though there are subjective viewpoints, but then a camera has a viewpoint which is lost if you eliminate it. If consciousness is physical events, that leaves viewpoints untouched.
17. Mind and Body / D. Property Dualism / 4. Emergentism
There is non-event causation between mind and brain, as between a table and its solidity [Searle]
     Full Idea: The solidity of a table is explained causally by the behaviour of the molecules of which it is composed, but the solidity is not an extra event, it is just a feature of the table. This non-event causation models the relationship of mind and brain.
     From: John Searle (The Mystery of Consciousness [1997], Ch.1)
     A reaction: He calls it 'non-event' causation, while referring to the 'behaviour of molecules'. Ask a physicist what a 'feature' is. Better to think of it as one process 'emerging' as another process at the macro-level.
17. Mind and Body / E. Mind as Physical / 1. Physical Mind
The pattern of molecules in the sea is much more complex than the complexity of brain neurons [Searle]
     Full Idea: The pattern of molecules in the ocean is vastly more complex than any pattern of neurons in my brain.
     From: John Searle (The Mystery of Consciousness [1997], Concl 2.6)
     A reaction: A nice warning for anyone foolish enough to pin their explanatory hopes simply on 'complexity', but we would not be so foolish. A subtler account of complexity (e.g. by Edelman and Tononi) might make brains much more complex than oceans.
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / a. Physicalism critique
If tree rings contain information about age, then age contains information about rings [Searle]
     Full Idea: You could say that tree-rings contain information about the age of a tree, but you could as well say that the age of a tree in years contains information about the number of rings in a tree stump. ..'Information' is not a real causal feature of the world.
     From: John Searle (The Mystery of Consciousness [1997], Concl 2.5)
     A reaction: A nice point for fans of 'information' to ponder. However, you cannot deny the causal connection between the age and the rings. Information has a subjective aspect, but you cannot, for example, eliminate the role of DNA in making organisms.