Combining Texts

All the ideas for 'Logical Consequence', 'Consilience' and 'Treatise 4: The Moral Sense'

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15 ideas

2. Reason / A. Nature of Reason / 1. On Reason
Reason is our power of finding out true propositions [Hutcheson]
     Full Idea: Reason is our power of finding out true propositions.
     From: Francis Hutcheson (Treatise 4: The Moral Sense [1728], §I)
     A reaction: This strikes me as a very good definition. I don't see how you can define reason without mentioning truth, and you can't believe in reason if you don't believe in truth. The concept of reason entails the concept of a good reason.
4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
'Equivocation' is when terms do not mean the same thing in premises and conclusion [Beall/Restall]
     Full Idea: 'Equivocation' is when the terms do not mean the same thing in the premises and in the conclusion.
     From: JC Beall / G Restall (Logical Consequence [2005], Intro)
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
Formal logic is invariant under permutations, or devoid of content, or gives the norms for thought [Beall/Restall]
     Full Idea: Logic is purely formal either when it is invariant under permutation of object (Tarski), or when it has totally abstracted away from all contents, or it is the constitutive norms for thought.
     From: JC Beall / G Restall (Logical Consequence [2005], 2)
     A reaction: [compressed] The third account sounds rather woolly, and the second one sounds like a tricky operation, but the first one sounds clear and decisive, so I vote for Tarski.
5. Theory of Logic / B. Logical Consequence / 2. Types of Consequence
Logical consequence needs either proofs, or absence of counterexamples [Beall/Restall]
     Full Idea: Technical work on logical consequence has either focused on proofs, where validity is the existence of a proof of the conclusions from the premises, or on models, which focus on the absence of counterexamples.
     From: JC Beall / G Restall (Logical Consequence [2005], 3)
5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
Logical consequence is either necessary truth preservation, or preservation based on interpretation [Beall/Restall]
     Full Idea: Two different views of logical consequence are necessary truth-preservation (based on modelling possible worlds; favoured by Realists), or truth-preservation based on the meanings of the logical vocabulary (differing in various models; for Anti-Realists).
     From: JC Beall / G Restall (Logical Consequence [2005], 2)
     A reaction: Thus Dummett prefers the second view, because the law of excluded middle is optional. My instincts are with the first one.
5. Theory of Logic / B. Logical Consequence / 8. Material Implication
A step is a 'material consequence' if we need contents as well as form [Beall/Restall]
     Full Idea: A logical step is a 'material consequence' and not a formal one, if we need the contents as well as the structure or form.
     From: JC Beall / G Restall (Logical Consequence [2005], 2)
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
A 'logical truth' (or 'tautology', or 'theorem') follows from empty premises [Beall/Restall]
     Full Idea: If a conclusion follows from an empty collection of premises, it is true by logic alone, and is a 'logical truth' (sometimes a 'tautology'), or, in the proof-centred approach, 'theorems'.
     From: JC Beall / G Restall (Logical Consequence [2005], 4)
     A reaction: These truths are written as following from the empty set Φ. They are just implications derived from the axioms and the rules.
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
Models are mathematical structures which interpret the non-logical primitives [Beall/Restall]
     Full Idea: Models are abstract mathematical structures that provide possible interpretations for each of the non-logical primitives in a formal language.
     From: JC Beall / G Restall (Logical Consequence [2005], 3)
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
Hilbert proofs have simple rules and complex axioms, and natural deduction is the opposite [Beall/Restall]
     Full Idea: There are many proof-systems, the main being Hilbert proofs (with simple rules and complex axioms), or natural deduction systems (with few axioms and many rules, and the rules constitute the meaning of the connectives).
     From: JC Beall / G Restall (Logical Consequence [2005], 3)
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / c. Ethical intuitionism
Can't the moral sense make mistakes, as the other senses do? [Hutcheson]
     Full Idea: Can there not be a right and wrong state of our moral sense, as there is in our other senses?
     From: Francis Hutcheson (Treatise 4: The Moral Sense [1728], §IV)
     A reaction: Hutcheson replies by saying something like they are both fully reliable in normal conditions. It remains, though, a very good question for the intuitionist to face, as the moral sense is supposed to be direct and reliable, but how do you check?
22. Metaethics / C. The Good / 2. Happiness / a. Nature of happiness
Happiness is a pleasant sensation, or continued state of such sensations [Hutcheson]
     Full Idea: In the following discourse, happiness denotes pleasant sensation of any kind, or continued state of such sensations.
     From: Francis Hutcheson (Treatise 4: The Moral Sense [1728], Intro)
     A reaction: This is a very long way from Greek eudaimonia. Hutcheson seems to imply that I would be happy if I got high on drugs after my family had just burnt to death. Socrates points out that scratching an itch is a very pleasant sensation (Idea 132).
23. Ethics / D. Deontological Ethics / 1. Deontology
You can't form moral rules without an end, which needs feelings and a moral sense [Hutcheson]
     Full Idea: What rule of actions can be formed, without relation to some end proposed? Or what end can be proposed, without presupposing instincts, desires, affections, or a moral sense, it will not be easy to explain.
     From: Francis Hutcheson (Treatise 4: The Moral Sense [1728], §IV)
     A reaction: We have no reason to think that 'instincts, desires and affections' will give us the remotest guidance on how to behave morally well (though we would expect them to aid our survival). How could a moral sense give a reason, without spotting a rule?
24. Political Theory / A. Basis of a State / 1. A People / c. A unified people
The biology of societies: kin selection, parenting, mating; status, territory, contracts [Wilson,EO]
     Full Idea: Societies are ordered around six sociobiological principles: kin selection; parental investment; mating strategy; status; territorial expansion and defence; contractual agreement.
     From: Edmund O. Wilson (Consilience [1998], 19 'Intro'), quoted by Peter Watson - Convergence
     A reaction: I'm not sure I trust such a precise list. Personally I'm in society because I'm too frightend to drop out. So where is 'defence'? Still, I like attempts at assembling such a list. Politics needs grounding.
28. God / A. Divine Nature / 6. Divine Morality / a. Divine morality
We are asked to follow God's ends because he is our benefactor, but why must we do that? [Hutcheson]
     Full Idea: The reasons assigned for actions are such as 'It is the end proposed by the Deity'. But why do we approve concurring with the divine ends? The reason is given 'He is our benefactor', but then, for what reason do we approve concurrence with a benefactor?
     From: Francis Hutcheson (Treatise 4: The Moral Sense [1728], §I)
     A reaction: Characteristic of what MacIntyre calls the 'Enlightenment Project', which is the application of Cartesian scepticism to proving the foundations of morals. Proof beyond proof is continually demanded. If you could meet God, you would obey without question.
Why may God not have a superior moral sense very similar to ours? [Hutcheson]
     Full Idea: Why may not the Deity have something of a superior kind, analogous to our moral sense, essential to him?
     From: Francis Hutcheson (Treatise 4: The Moral Sense [1728], §I)
     A reaction: This is Plato's notion of the gods, as beings who are profoundly wise, and understand all the great moral truths, but are not the actual originators of those truths. The idea that God creates morality actually serves to undermine morality.