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All the ideas for 'What is Logic?st1=Ian Hacking', 'Causality and Properties' and 'Real Essence'

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45 ideas

1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
One system has properties, powers, events, similarity and substance [Shoemaker]
     Full Idea: There is a system of internally related concepts containing the notion of a property, the notion of a causal power, the concept of an event, the concept of similarity, and the concept of a persisting substance.
     From: Sydney Shoemaker (Causality and Properties [1980], §07)
     A reaction: A nice example of a modern metaphysical system, one which I find fairly congenial. His notion of events is Kim's, which involves his properties. The persisting substance is the one I am least clear about.
1. Philosophy / F. Analytic Philosophy / 4. Conceptual Analysis
Analysis aims at internal relationships, not reduction [Shoemaker]
     Full Idea: The goal of philosophical analysis should not be reductive analysis but rather the charting of internal relationships.
     From: Sydney Shoemaker (Causality and Properties [1980], §07)
     A reaction: See Idea 8558 for an attempt by Shoemaker himself. The idea that there has never been a successful analysis has become a truism among pessimistic analytic philosophers. But there are wonderful relationship maps (Quine, Davidson, Lewis, Lowe).
2. Reason / D. Definition / 3. Types of Definition
A decent modern definition should always imply a semantics [Hacking]
     Full Idea: Today we expect that anything worth calling a definition should imply a semantics.
     From: Ian Hacking (What is Logic? [1979], §10)
     A reaction: He compares this with Gentzen 1935, who was attempting purely syntactic definitions of the logical connectives.
2. Reason / D. Definition / 4. Real Definition
'Nominal' definitions identify things, but fail to give their essence [Jones,J-E]
     Full Idea: In the Aristotelian tradition, a 'nominal' definition is a pseudo-definition that identifies the members of the species or genus, but fails to capture the essence, e.g. 'man is the featherless biped'.
     From: Jan-Erik Jones (Real Essence [2012], §2)
     A reaction: You can 'individuate' an object as 'the only object in that drawer', while revealing nothing about it. So what must a definition do, in addition to picking something out uniquely?
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / d. Basic theorems of PL
'Thinning' ('dilution') is the key difference between deduction (which allows it) and induction [Hacking]
     Full Idea: 'Dilution' (or 'Thinning') provides an essential contrast between deductive and inductive reasoning; for the introduction of new premises may spoil an inductive inference.
     From: Ian Hacking (What is Logic? [1979], §06.2)
     A reaction: That is, inductive logic (if there is such a thing) is clearly non-monotonic, whereas classical inductive logic is monotonic.
Gentzen's Cut Rule (or transitivity of deduction) is 'If A |- B and B |- C, then A |- C' [Hacking]
     Full Idea: If A |- B and B |- C, then A |- C. This generalises to: If Γ|-A,Θ and Γ,A |- Θ, then Γ |- Θ. Gentzen called this 'cut'. It is the transitivity of a deduction.
     From: Ian Hacking (What is Logic? [1979], §06.3)
     A reaction: I read the generalisation as 'If A can be either a premise or a conclusion, you can bypass it'. The first version is just transitivity (which by-passes the middle step).
Only Cut reduces complexity, so logic is constructive without it, and it can be dispensed with [Hacking]
     Full Idea: Only the cut rule can have a conclusion that is less complex than its premises. Hence when cut is not used, a derivation is quite literally constructive, building up from components. Any theorem obtained by cut can be obtained without it.
     From: Ian Hacking (What is Logic? [1979], §08)
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
The various logics are abstractions made from terms like 'if...then' in English [Hacking]
     Full Idea: I don't believe English is by nature classical or intuitionistic etc. These are abstractions made by logicians. Logicians attend to numerous different objects that might be served by 'If...then', like material conditional, strict or relevant implication.
     From: Ian Hacking (What is Logic? [1979], §15)
     A reaction: The idea that they are 'abstractions' is close to my heart. Abstractions from what? Surely 'if...then' has a standard character when employed in normal conversation?
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
First-order logic is the strongest complete compact theory with Löwenheim-Skolem [Hacking]
     Full Idea: First-order logic is the strongest complete compact theory with a Löwenheim-Skolem theorem.
     From: Ian Hacking (What is Logic? [1979], §13)
A limitation of first-order logic is that it cannot handle branching quantifiers [Hacking]
     Full Idea: Henkin proved that there is no first-order treatment of branching quantifiers, which do not seem to involve any idea that is fundamentally different from ordinary quantification.
     From: Ian Hacking (What is Logic? [1979], §13)
     A reaction: See Hacking for an example of branching quantifiers. Hacking is impressed by this as a real limitation of the first-order logic which he generally favours.
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Second-order completeness seems to need intensional entities and possible worlds [Hacking]
     Full Idea: Second-order logic has no chance of a completeness theorem unless one ventures into intensional entities and possible worlds.
     From: Ian Hacking (What is Logic? [1979], §13)
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
With a pure notion of truth and consequence, the meanings of connectives are fixed syntactically [Hacking]
     Full Idea: My doctrine is that the peculiarity of the logical constants resides precisely in that given a certain pure notion of truth and consequence, all the desirable semantic properties of the constants are determined by their syntactic properties.
     From: Ian Hacking (What is Logic? [1979], §09)
     A reaction: He opposes this to Peacocke 1976, who claims that the logical connectives are essentially semantic in character, concerned with the preservation of truth.
5. Theory of Logic / E. Structures of Logic / 4. Variables in Logic
Perhaps variables could be dispensed with, by arrows joining places in the scope of quantifiers [Hacking]
     Full Idea: For some purposes the variables of first-order logic can be regarded as prepositions and place-holders that could in principle be dispensed with, say by a system of arrows indicating what places fall in the scope of which quantifier.
     From: Ian Hacking (What is Logic? [1979], §11)
     A reaction: I tend to think of variables as either pronouns, or as definite descriptions, or as temporary names, but not as prepositions. Must address this new idea...
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
If it is a logic, the Löwenheim-Skolem theorem holds for it [Hacking]
     Full Idea: A Löwenheim-Skolem theorem holds for anything which, on my delineation, is a logic.
     From: Ian Hacking (What is Logic? [1979], §13)
     A reaction: I take this to be an unusually conservative view. Shapiro is the chap who can give you an alternative view of these things, or Boolos.
8. Modes of Existence / B. Properties / 1. Nature of Properties
Formerly I said properties are individuated by essential causal powers and causing instantiation [Shoemaker, by Shoemaker]
     Full Idea: My 1980 paper said properties are individuated by causal features - the contribution they make to the causal powers of things, and also how their instantiation can be caused. Collectively, these causal features are the essence of a property.
     From: report of Sydney Shoemaker (Causality and Properties [1980], I) by Sydney Shoemaker - Causal and Metaphysical Necessity
     A reaction: The later paper worries about uncertainty over individuation. The view I favour is that 'powers' is a much better term for what is basic, and this allows 'properties' to be the complex notion we use in real life, as innumberable power-combinations.
8. Modes of Existence / B. Properties / 5. Natural Properties
Genuine properties are closely related to genuine changes [Shoemaker]
     Full Idea: Our intuitions as to what are, and what are not, genuine properties are closely related to our intuitions as to what are, and what are not, genuine changes.
     From: Sydney Shoemaker (Causality and Properties [1980], §02)
     A reaction: A simple but brilliant insight. Somehow we must hack through the plethora of bogus properties and get to the real ones, cutting nature at the joints. Here we have the principle needed for the task.
Properties must be essentially causal if we can know and speak about them [Shoemaker]
     Full Idea: Only if some causal theory of properties is true can it be explained how properties are capable of engaging our knowledge, and our language, in the way they do.
     From: Sydney Shoemaker (Causality and Properties [1980], §05)
     A reaction: Exactly. This also the reason why epiphenomenalism doesn't make sense about consciousness (Idea 7379). The fact that something has causal powers doesn't mean that it just IS a causal power. A bomb isn't an explosion.
To ascertain genuine properties, examine the object directly [Shoemaker]
     Full Idea: There is a plausible way of distinguishing genuine and mere-Cambridge properties. To decide whether an emerald is green the thing to do is to examine it, but a mere-Cambridge property is settled by observations at a remote time and place.
     From: Sydney Shoemaker (Causality and Properties [1980], §06)
     A reaction: Scientific essentialism is beautifully simple! Schoemaker is good at connecting the epistemology to the ontology. If you examined a mirror, you might think it contained reflections.
8. Modes of Existence / B. Properties / 10. Properties as Predicates
We should abandon the idea that properties are the meanings of predicate expressions [Shoemaker]
     Full Idea: I think we should abandon the idea that properties are the meanings of predicate expressions.
     From: Sydney Shoemaker (Causality and Properties [1980], §04)
     A reaction: Right. I have Shoemaker on my side, and he is a distinguished and senior member of the philosophical community. I don't just prefer not to use 'predicate' and 'property' indistinguishably - philosophers should really really give it up!
Some truths are not because of a thing's properties, but because of the properties of related things [Shoemaker]
     Full Idea: Sometimes a predicate is true of a thing, not because (or only because) of any properties it has, but because something else, perhaps something related to it in certain ways, has certain properties.
     From: Sydney Shoemaker (Causality and Properties [1980], §02)
     A reaction: I'm on mission to prize predicates and properties apart, and the strategy is to focus on what is true of something, given that this may not ascribe a property to the thing.
8. Modes of Existence / C. Powers and Dispositions / 3. Powers as Derived
Things have powers in virtue of (which are entailed by) their properties [Shoemaker]
     Full Idea: There is a distinction between powers, and the properties in virtue of which things have they powers they have (n8: 'in virtue of' means that there is a lawlike truth, which turns out to be the properties entailing the powers).
     From: Sydney Shoemaker (Causality and Properties [1980], §03)
     A reaction: To me this is an ontology which rests something very clear (a power) on something very indeterminate (a 'property').
One power can come from different properties; a thing's powers come from its properties [Shoemaker]
     Full Idea: It is possible to have the same power (e.g. being poisonous) in virtue of having very different properties. ..So it is in virtue of a thing's properties that the thing has the powers that it has.
     From: Sydney Shoemaker (Causality and Properties [1980], §03)
     A reaction: This strikes me as an accurate and helpful picture. It means that true properties give rise to powers, and categorial or relational or whimsical properties must have their ontological status judged by that standard.
Properties are functions producing powers, and powers are functions producing effects [Shoemaker]
     Full Idea: Powers are functions from circumstances to causal effects, and properties (on which powers depend) can be thought of as functions from sets of properties to sets of powers. Maybe we should call properties 'second-order powers', as they produce powers.
     From: Sydney Shoemaker (Causality and Properties [1980], §04)
     A reaction: He presents property as both a function, and a component of the function. This is the core picture on which modern scientific essentialism is built. See under Natural Theory|Laws of Nature.
8. Modes of Existence / C. Powers and Dispositions / 5. Powers and Properties
Shoemaker says all genuine properties are dispositional [Shoemaker, by Ellis]
     Full Idea: I am against Shoemaker's strong dispositionalism, according to which all genuine properties are dispositional.
     From: report of Sydney Shoemaker (Causality and Properties [1980]) by Brian Ellis - The Metaphysics of Scientific Realism 3
     A reaction: This is because Ellis argues that some properties are categorical, and are needed to underly the active dispositional ones. I think I side with Shoemaker, but this needs more thought.
A causal theory of properties focuses on change, not (say) on abstract properties of numbers [Shoemaker]
     Full Idea: My account of properties concerns those with respect to which change is possible; it is not intended to apply to such properties of numbers as being even and being prime.
     From: Sydney Shoemaker (Causality and Properties [1980], §02)
     A reaction: You could argue that while these properties may not cause change, they are abstract powers. Being even allows division by 2, and being prime blocks it. I say patterns are the basis, and dividing groups of physical objects is involved.
'Square', 'round' and 'made of copper' show that not all properties are dispositional [Shoemaker]
     Full Idea: Surely we make a distinction beween dispositional and nondispositional properties, and can mention paradigms of both sorts. ....It seems plain that predicates like 'square', 'round' and 'made of copper' are not dispositional.
     From: Sydney Shoemaker (Causality and Properties [1980], §03)
     A reaction: It might be possible to account for squareness and roundness in dispositional ways, and it is certainly plausible to say that 'made of copper' is not a property (even when it is a true predicate).
The identity of a property concerns its causal powers [Shoemaker]
     Full Idea: What makes a property the property it is, what determines its identity, is its potential for contributing to the causal powers of the things that have it.
     From: Sydney Shoemaker (Causality and Properties [1980], §04)
     A reaction: Does this mean that the 'potential' to act is the essence of the property, or is a property of the property, or is wholly identical with the property? Or is this just epistemological - whatever individuates the property for observers?
Properties are clusters of conditional powers [Shoemaker]
     Full Idea: A thing has a 'conditional power' when it has a power conditionally upon the possession of certain properties. ...We can then express my view by saying that properties are clusters of conditional powers.
     From: Sydney Shoemaker (Causality and Properties [1980], §04)
     A reaction: His example is a knife-shaped thing, which conditionally cuts wood if it is made of steel. Shoemaker rejected this in 1998. Mumford/Anjum prefer the earlier view. Which is fundamental? Powers are simple and primitive. Properties are complex.
Could properties change without the powers changing, or powers change without the properties changing? [Shoemaker]
     Full Idea: Could a thing undergo radical change with respect to its properties without undergoing any change in its causal powers, or undergo radical change in its causal powers without undergoing any change in the properties that underlie these powers?
     From: Sydney Shoemaker (Causality and Properties [1980], §05)
     A reaction: I don't accept properties underlying powers, but these two questions at least force us to see how closely the two are linked.
If properties are separated from causal powers, this invites total elimination [Shoemaker]
     Full Idea: The disassociation of property identity from causal potentiality is an invitation to eliminate reference to properties from our explanatory hypotheses altogether.
     From: Sydney Shoemaker (Causality and Properties [1980], §05)
     A reaction: Just as epiphenomenalism about consciousness is a step towards eliminativism. This seems to describe Quine's reaction to Goodman, in moving from predicate nominalism to elimination of properties. I agree with Shoemaker.
The notions of property and of causal power are parts of a single system of related concepts [Shoemaker]
     Full Idea: The notion of a property and the notion of a causal power belong to a system of internally related concepts, no one of which can be explicated without the use of the other.
     From: Sydney Shoemaker (Causality and Properties [1980], §07)
     A reaction: Sounds good. It is hard to conceive of a property which has no causal powers, or a causal power that doesn't arise from a property.
Actually, properties are individuated by causes as well as effects [Shoemaker]
     Full Idea: I should probably modify my view, and say that properties are individuated by their possible causes as well as by their possible effects.
     From: Sydney Shoemaker (Causality and Properties [1980], §11)
     A reaction: (This is in an afterword responding to criticism by Richard Boyd) He doesn't use the word 'individuate' in the essay. That term always strikes me as smacking too much of epistemology, and not enough of ontology. Who cares how you individuate something?
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / b. Dispositions and powers
Dispositional predicates ascribe powers, and the rest ascribe properties [Shoemaker]
     Full Idea: By and large, dispositional predicates ascribe powers while nondispositional monadic predicates ascribe properties that are not powers in the same sense.
     From: Sydney Shoemaker (Causality and Properties [1980], §03)
     A reaction: The powers are where the properties come into contact with the rest of the world, so you would expect dispositions to be found at that level, rather than at the deeper level of properties. Sounds good to me.
8. Modes of Existence / D. Universals / 2. Need for Universals
Universals concern how things are, and how they could be [Shoemaker, by Bird]
     Full Idea: Shoemaker contends that universals concern the way things could be, not merely the way any things actually are.
     From: report of Sydney Shoemaker (Causality and Properties [1980]) by Alexander Bird - Nature's Metaphysics 3.2.2
     A reaction: If you want to retain universals within a scientific essentialist view (and I would rather not), then this seems like the only way to go.
8. Modes of Existence / E. Nominalism / 5. Class Nominalism
Triangular and trilateral are coextensive, but different concepts; but powers and properties are the same [Shoemaker]
     Full Idea: It is natural to say that 'being triangular' and 'being trilateral', though necessarily coextensive, are different properties. But what are distinct are the concepts and meanings. If properties are not meanings of predicates, these are identical.
     From: Sydney Shoemaker (Causality and Properties [1980], §04)
     A reaction: A good test example. Being renate (kidney) and being cordate (heart) are different, because being cordate produces a thumping noise. Shoemaker's example is pretty much Phosphorus/Hesperus.
9. Objects / D. Essence of Objects / 15. Against Essentialism
There is no subset of properties which guarantee a thing's identity [Shoemaker]
     Full Idea: There is, putting aside historical properties and 'identity properties', no subset of the properties of a thing which constitutes an individual essence, so that having those properties is necessary and sufficient for being that particular thing.
     From: Sydney Shoemaker (Causality and Properties [1980], §05)
     A reaction: He asserts this rather dogmatically. If he says a thing can lose its essence, I agree, but it seems to me that there must be a group of features which will guarantee that (if they are present) it has that identity.
10. Modality / B. Possibility / 1. Possibility
Possible difference across worlds depends on difference across time in the actual world [Shoemaker]
     Full Idea: The ways in which a given thing can be different in different possible worlds depend on the ways in which such a thing can be different at different times in the actual world.
     From: Sydney Shoemaker (Causality and Properties [1980], §05)
     A reaction: Where change in a thing is possible across time in the actual world seems to require a combination of experiment and imagination. Unimaginability does not entail necessity, but it may be the best guide we have got.
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / a. Conceivable as possible
'Conceivable' is either not-provably-false, or compatible with what we know? [Shoemaker]
     Full Idea: We could use 'conceivable' to say it is not provable that it is not the case, or we could use it to say that it is compatible with what we know.
     From: Sydney Shoemaker (Causality and Properties [1980], §10)
     A reaction: Rather significant, since the first one would seem to allow in a great deal that the second one would rule out. Any disproof of some natural possibility founders on the remark that 'you never know'.
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / b. Conceivable but impossible
It is possible to conceive what is not possible [Shoemaker]
     Full Idea: It is possible to conceive what is not possible.
     From: Sydney Shoemaker (Causality and Properties [1980], §10)
     A reaction: The point here is that, while we cannot clearly conceive the impossible in a world like mathematics, we can conceive of impossible perceptions in the physical world, such as a bonfire burning under water.
14. Science / C. Induction / 5. Paradoxes of Induction / a. Grue problem
Grueness is not, unlike green and blue, associated with causal potential [Shoemaker]
     Full Idea: Grueness, as defined by Goodman, is not associated in the way greenness and blueness are with causal potentialities.
     From: Sydney Shoemaker (Causality and Properties [1980], §06)
     A reaction: Expressed rather more simply in Idea 7296. 'Grue' is a characteristic production of a predicate nominalist (i.e. Goodman), and that theory is just wrong. The account of properties must mesh with the account of induction.
26. Natural Theory / C. Causation / 8. Particular Causation / b. Causal relata
If causality is between events, there must be reference to the properties involved [Shoemaker]
     Full Idea: Any account of causality as a relation between events should involve, in a central way, reference to the properties of the constituent objects of the events.
     From: Sydney Shoemaker (Causality and Properties [1980], §01)
     A reaction: This remark, with which I wholeheartedly agree, is aimed at Davidson, who seems to think you need know no more about an event than the way in which someone chooses to describe it. Metaphysics must dig deeper, even if science can't.
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / b. Scientific necessity
If causal laws describe causal potentialities, the same laws govern properties in all possible worlds [Shoemaker]
     Full Idea: To the extent that causal laws can be viewed as propositions describing the causal potentialities of properties, it is impossible that the same properties should be governed by different causal laws in different possible worlds.
     From: Sydney Shoemaker (Causality and Properties [1980], §08)
     A reaction: [He has just asserted that causal potentialities are essential to properties] This is the dramatic basic claim of scientific essentialism, which grows out of Shoemaker's causal account of properties. Note that the laws are just descriptions.
If properties are causal, then causal necessity is a species of logical necessity [Shoemaker]
     Full Idea: My theory of properties as causal appears to have the consequence that causal laws are logically necessary, and that causal necessity is just a species of logical necessity.
     From: Sydney Shoemaker (Causality and Properties [1980], §09)
     A reaction: Where he writes 'logical' necessity I would claim that he really means 'metaphysical' necessity. The point, I take it, is that given the existence of those properties, certain causal efforts must always follow from them. I agree.
If a world has different causal laws, it must have different properties [Shoemaker]
     Full Idea: If there are worlds in which the causal laws are different from those that prevail in this world, ..then the properties will have to be different as well.
     From: Sydney Shoemaker (Causality and Properties [1980], §09)
     A reaction: The next question is whether the same stuff (e.g. gold or water) could have different properties, and I take the the scientific essentialism answer to be 'no'. So the actual stuff (substances?) would have to be different.
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / d. Knowing essences
It looks as if the immutability of the powers of a property imply essentiality [Shoemaker]
     Full Idea: There is a prima facie case for saying that the immutability of the causal potentialities of a property implies their essentiality. ...If they cannot vary across time, they also cannot vary across possible worlds.
     From: Sydney Shoemaker (Causality and Properties [1980], §05)
     A reaction: This is only the beginning of scientific essentialism, but one of the targets is to save the phenomena. It is also involves unimaginability (of different powers from a given property) implying necessity.