Combining Texts

All the ideas for 'Intensional Logic', 'The Handbook [Encheiridion]' and 'Difference and Repetition'

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16 ideas

1. Philosophy / H. Continental Philosophy / 1. Continental Philosophy
'Difference' refers to that which eludes capture [Deleuze, by May]
     Full Idea: 'Difference' is a term which Deleuze uses to refer to that which eludes capture.
     From: report of Gilles Deleuze (Difference and Repetition [1968]) by Todd May - Gilles Deleuze 3.03
     A reaction: Presumably its ancestor is Kant's noumenon. This is one of his concepts used to 'palpate' our ossified conceptual scheme.
4. Formal Logic / E. Nonclassical Logics / 8. Intensional Logic
If terms change their designations in different states, they are functions from states to objects [Fitting]
     Full Idea: The common feature of every designating term is that designation may change from state to state - thus it can be formalized by a function from states to objects.
     From: Melvin Fitting (Intensional Logic [2007], 3)
     A reaction: Specifying the objects sounds OK, but specifying states sounds rather tough.
Intensional logic adds a second type of quantification, over intensional objects, or individual concepts [Fitting]
     Full Idea: To first order modal logic (with quantification over objects) we can add a second kind of quantification, over intensions. An intensional object, or individual concept, will be modelled by a function from states to objects.
     From: Melvin Fitting (Intensional Logic [2007], 3.3)
4. Formal Logic / E. Nonclassical Logics / 9. Awareness Logic
Awareness logic adds the restriction of an awareness function to epistemic logic [Fitting]
     Full Idea: Awareness logic enriched Hintikka's epistemic models with an awareness function, mapping each state to the set of formulas we are aware of at that state. This reflects some bound on the resources we can bring to bear.
     From: Melvin Fitting (Intensional Logic [2007], 3.6.1)
     A reaction: [He cites Fagin and Halpern 1988 for this]
4. Formal Logic / E. Nonclassical Logics / 10. Justification Logics
Justication logics make explicit the reasons for mathematical truth in proofs [Fitting]
     Full Idea: In justification logics, the logics of knowledge are extended by making reasons explicit. A logic of proof terms was created, with a semantics. In this, mathematical truths are known for explicit reasons, and these provide a measure of complexity.
     From: Melvin Fitting (Intensional Logic [2007], 3.6.1)
5. Theory of Logic / A. Overview of Logic / 8. Logic of Mathematics
Classical logic is deliberately extensional, in order to model mathematics [Fitting]
     Full Idea: Mathematics is typically extensional throughout (we write 3+2=2+3 despite the two terms having different meanings). ..Classical first-order logic is extensional by design since it primarily evolved to model the reasoning of mathematics.
     From: Melvin Fitting (Intensional Logic [2007], §1)
5. Theory of Logic / F. Referring in Logic / 3. Property (λ-) Abstraction
λ-abstraction disambiguates the scope of modal operators [Fitting]
     Full Idea: λ-abstraction can be used to abstract and disambiguate a predicate. De re is [λx◊P(x)](f) - f has the possible-P property - and de dicto is ◊[λxP(x)](f) - possibly f has the P-property. Also applies to □.
     From: Melvin Fitting (Intensional Logic [2007], §3.3)
     A reaction: Compare the Barcan formula. Originated with Church in the 1930s, and Carnap 1947, but revived by Stalnaker and Thomason 1968. Because it refers to the predicate, it has a role in intensional versions of logic, especially modal logic.
7. Existence / A. Nature of Existence / 3. Being / a. Nature of Being
'Being' is univocal, but its subject matter is actually 'difference' [Deleuze]
     Full Idea: Being is said in a single and same sense of everything of which it is said, but that of which it is said differs: it is said of difference itself.
     From: Gilles Deleuze (Difference and Repetition [1968], p.36), quoted by Todd May - Gilles Deleuze 3.03
     A reaction: This is an attempt to express the Heraclitean view of reality, as process, movement, multiplicity - something which always eludes our attempts to pin it down.
Ontology can be continual creation, not to know being, but to probe the unknowable [Deleuze]
     Full Idea: Ontology can be an ontology of difference ....where what is there is not the same old things but a process of continual creation, an ontology that does not seek to reduce being to the knowable, but widens thought to palpate the unknowable.
     From: Gilles Deleuze (Difference and Repetition [1968]), quoted by Todd May - Gilles Deleuze 5.05
     A reaction: I'm inclined to think that the first duty of ontology is to face up to the knowable. I'm not sure that probing the unknowable, with no success or prospect of it, is a good way to spend a life. Probing ('palpating') can sometimes discover things.
7. Existence / A. Nature of Existence / 3. Being / i. Deflating being
Ontology does not tell what there is; it is just a strange adventure [Deleuze, by May]
     Full Idea: In Deleuze's hands ontology is not a matter of telling us what there is, but of taking us on strange adventures.
     From: report of Gilles Deleuze (Difference and Repetition [1968]) by Todd May - Gilles Deleuze 3.03
     A reaction: Presumably you only indulge in the strange adventure because you have no idea how to specify what there is. This sounds like the essence of post-modernism, in which life is just a game.
Being is a problem to be engaged, not solved, and needs a new mode of thinking [Deleuze, by May]
     Full Idea: In Deleuze, Being is not a puzzle to be solved but a problem to be engaged. It is to be engaged by a thought that moves as comfortably among problems as it does among solutions, as fluidly among differences as it does among identities.
     From: report of Gilles Deleuze (Difference and Repetition [1968]) by Todd May - Gilles Deleuze 4.01
     A reaction: This sounds like what I've always known as 'negative capability' (thanks to Keats). Is philosophy just a hobby, like playing darts? It seems that the aim of the process is 'liberation', about which I would like to know more.
10. Modality / E. Possible worlds / 3. Transworld Objects / a. Transworld identity
Definite descriptions pick out different objects in different possible worlds [Fitting]
     Full Idea: Definite descriptions pick out different objects in different possible worlds quite naturally.
     From: Melvin Fitting (Intensional Logic [2007], 3.4)
     A reaction: A definite description can pick out the same object in another possible world, or a very similar one, or an object which has almost nothing in common with the others.
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
We see nature's will in the ways all people are the same [Epictetus]
     Full Idea: The will of nature may be learned from those things in which we do not differ from one another.
     From: Epictetus (The Handbook [Encheiridion] [c.58], 26)
     A reaction: There you go! This is the rule for anthropologists on field trips. And it guides us towards a core of essential human nature. But it neglects the way that nature is expressed in different cultures, which is also important.
23. Ethics / C. Virtue Theory / 3. Virtues / f. Compassion
Epictetus says we should console others for misfortune, but not be moved by pity [Epictetus, by Taylor,C]
     Full Idea: The injunction of Epictetus is well known, that in commiserating with another for his misfortune, we ought to talk consolingly, but not be moved by pity.
     From: report of Epictetus (The Handbook [Encheiridion] [c.58], §16) by Charles Taylor - Sources of the Self §15.1
     A reaction: This goes strongly against the grain of the Christian tradition, but strikes me as an appealing attitude (even if I am the sufferer).
If someone is weeping, you should sympathise and help, but not share his suffering [Epictetus]
     Full Idea: When you see someone weeping is sorrow …do not shrink from sympathising with him, and even groaning with him, but be careful not to groan inwardly too.
     From: Epictetus (The Handbook [Encheiridion] [c.58], 16)
     A reaction: The point is that the person's suffering is an 'indifferent' because nothing can be done about it, and we should only really care about what we are able to choose. He is not opposed to the man's suffering, or his need for support.
25. Social Practice / D. Justice / 3. Punishment / a. Right to punish
Perhaps we should persuade culprits that their punishment is just? [Epictetus]
     Full Idea: The governor Agrippinus would try to persuade those whom he sentenced that it was proper for them to be sentenced, …just as the physician persuades a patient to accept their treatment.
     From: Epictetus (The Handbook [Encheiridion] [c.58], 22)
     A reaction: This resembles the Contractualism of T.H. Scanlon (that actions are good if you can justify them to those involved). It may be possible to persuade people by the use of sophistry and lies. Nevertheless, a fairly civilise proposal.