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All the ideas for 'Intensional Logic', 'Has Philosophy Lost Contact with People?' and 'On the Natural Faculties'

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10 ideas

1. Philosophy / A. Wisdom / 3. Wisdom Deflated
Inspiration and social improvement need wisdom, but not professional philosophy [Quine]
     Full Idea: Professional philosophers have no peculiar fitness for inspirational and edifying writing, or helping to get society on an even keel (though we should do what we can). Wisdom may fulfil these crying needs: 'sophia' yes, but 'philosophia' not necessarily.
     From: Willard Quine (Has Philosophy Lost Contact with People? [1979], p.193)
     A reaction: This rather startlingly says that philosophy is unlikely to lead to wisdom, which is rather odd when it is defined as love of that very thing. Does love of horticulture lead to good gardening. I can't agree. Philosophy is the best hope of 'sophia'.
1. Philosophy / D. Nature of Philosophy / 6. Hopes for Philosophy
For a good theory of the world, we must focus on our flabby foundational vocabulary [Quine]
     Full Idea: Our traditional introspective notions - of meaning, idea, concept, essence, all undisciplined and undefined - afford a hopelessly flabby and unmanageable foundation for a theory of the world. Control is gained by focusing on words.
     From: Willard Quine (Has Philosophy Lost Contact with People? [1979], p.192)
     A reaction: A very nice statement of the aim of modern language-centred philosophy, though the task offered appears to be that of an under-labourer, when the real target, even according to Quine, is supposed to be a 'theory of the world'.
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.
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.
15. Nature of Minds / C. Capacities of Minds / 1. Faculties
We just use the word 'faculty' when we don't know the psychological cause [Galen]
     Full Idea: So long as we are ignorant of the true essence of the cause which is operating, we call it a 'faculty'.
     From: Galen (On the Natural Faculties [c.170], I.iv), quoted by Dominik Perler - Intro to The Faculties: a History 2
     A reaction: This is probably the view of most modern neuroscientists. I want to defend the idea that we need the concept of a faculty in philosophy, even if the psychologists and neuroscientists say it is too vague for their purposes.