Combining Texts

All the ideas for 'Mathematical Methods in Philosophy', 'Freedom and Action' and 'From Supervenience to Superdupervenience'

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17 ideas

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 / 5. Supervenience / b. Types of supervenience
'Superdupervenience' is supervenience that has a robustly materialistic explanation [Horgan,T]
     Full Idea: The idea of a ontological supervenience that is robustly explainable in a materialistically explainable way I hereby dub 'superdupervenience'.
     From: Terence Horgan (From Supervenience to Superdupervenience [1993], §4)
     A reaction: [He credits William Lycan with the actual word] His assumption prior to this introduction is that mere supervenience just adds a new mystery. I take supervenience to be an observation of 'tracking', which presumably needs to be explained.
'Global' supervenience is facts tracking varying physical facts in every possible world [Horgan,T]
     Full Idea: The idea of 'global supervenience' is standardly expressed as 'there are no two physically possible worlds which are exactly alike in all physical respects but different in some other respect'.
     From: Terence Horgan (From Supervenience to Superdupervenience [1993], §5)
     A reaction: [Jaegwon Kim is the source of this concept] The 'local' view will be that they do indeed track, but they could, in principle, come apart. A zombie might be a case of them possibly coming apart. Zombies are silly.
7. Existence / C. Structure of Existence / 5. Supervenience / c. Significance of supervenience
Don't just observe supervenience - explain it! [Horgan,T]
     Full Idea: Although the task of explaining supervenience has been little appreciated and little discussed in the philosophical literature, it is time for that to change.
     From: Terence Horgan (From Supervenience to Superdupervenience [1993], §8)
     A reaction: I would offer a strong addition to this: be absolutely sure that you are dealing with two distinct things in the supervenience relationship, before you waste time trying to explain how they relate to one another.
7. Existence / D. Theories of Reality / 6. Physicalism
Physicalism needs more than global supervenience on the physical [Horgan,T]
     Full Idea: Global supervenience seems too weak to capture the physical facts determining all the facts. …There could be two spatio-temporal regions alike in all physical respects, but different in some intrinsic non-physical respect.
     From: Terence Horgan (From Supervenience to Superdupervenience [1993], §5)
     A reaction: I.e. there might be two physically identical regions, but one contains angels and the other doesn't (so the extra fact isn't tracking the physical facts). Physicalism I take to be the simple denial of the angels. Supervenience is an explanandum.
Materialism requires that physics be causally complete [Horgan,T]
     Full Idea: Any broadly materialistic metaphysical position needs to claim that physics is causally complete.
     From: Terence Horgan (From Supervenience to Superdupervenience [1993], §6)
     A reaction: Since 'physics' is a human creation, I presume he means that physical reality is causally complete. The interaction problem that faced Descartes seems crucial - how could something utterly non-physical effect a physical change?
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.
14. Science / B. Scientific Theories / 3. Instrumentalism
Instrumentalism normally says some discourse is useful, but not genuinely true [Horgan,T]
     Full Idea: Instrumentalist views typically attribute utility to the given body of discourse, but deny that it expresses genuine truths.
     From: Terence Horgan (From Supervenience to Superdupervenience [1993], §8)
     A reaction: To me it is obvious to ask why anything could have a high level of utility (especially in accounts of the external physical world) without being true. Falsehoods may sometimes (though I doubt it) be handy in human life, but useful in chemistry…?
20. Action / A. Definition of Action / 1. Action Theory
If a desire leads to a satisfactory result by an odd route, the causal theory looks wrong [Chisholm]
     Full Idea: If someone wants to kill his uncle to inherit a fortune, and having this desire makes him so agitated that he loses control of his car and kills a pedestrian, who turns out to be his uncle, the conditions of the causal theory seem to be satisfied.
     From: Roderick Chisholm (Freedom and Action [1966]), quoted by Rowland Stout - Action 6 'Deviant'
     A reaction: This line of argument has undermined all sorts of causal theories that were fashionable in the 1960s and 70s. Explanation should lead to understanding, but a deviant causal chain doesn't explain the outcome. The causal theory can be tightened.
20. Action / B. Preliminaries of Action / 2. Willed Action / c. Agent causation
There has to be a brain event which is not caused by another event, but by the agent [Chisholm]
     Full Idea: There must be some event A, presumably some cerebral event, which is not caused by any other event, but by the agent.
     From: Roderick Chisholm (Freedom and Action [1966], p.20), quoted by Rowland Stout - Action 4 'Agent'
     A reaction: I'm afraid this thought strikes me as quaintly ridiculous. What kind of metaphysics can allow causation outside the natural nexus, yet occuring within the physical brain? This is a relic of religious dualism. Let it go.