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All the ideas for 'Logical Consequence', 'fragments/reports' and 'Philosophical Naturalism'

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22 ideas

1. Philosophy / D. Nature of Philosophy / 6. Hopes for Philosophy
If all laws were abolished, philosophers would still live as they do now [Aristippus elder]
     Full Idea: If all laws were abolished, philosophers would still live as they do now.
     From: Aristippus the elder (fragments/reports [c.395 BCE]), quoted by Diogenes Laertius - Lives of Eminent Philosophers 02.Ar.4
     A reaction: Presumably philosophers develop inner laws which other people lack.
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)
7. Existence / D. Theories of Reality / 5. Naturalism
Externalism may be the key idea in philosophical naturalism [Papineau]
     Full Idea: Some people view an externalist approach to epistemology as the essence of philosophical naturalism.
     From: David Papineau (Philosophical Naturalism [1993], Intro)
     A reaction: I suspect philosophers avoid psychology and mental events, simply because they are elusive. Externalism is a theory about justification, and independent of naturalism as a metaphysic.
17. Mind and Body / A. Mind-Body Dualism / 8. Dualism of Mind Critique
How does a dualist mind represent, exist outside space, and be transparent to itself? [Papineau]
     Full Idea: Even dualists must explain how the mind represents things, but then their mind-stuff has so many special powers already (being outside space but in time, being transparent to itself etc.) that one more scarcely seems worth worrying about.
     From: David Papineau (Philosophical Naturalism [1993], 3.1 n1)
     A reaction: I share the exasperation. It is hard to see how a dualist could even begin to formulate a theory about HOW the mind does so many different things. Could Descartes get a research grant for it? Would we understand God if he tried to explain it to us?
17. Mind and Body / C. Functionalism / 8. Functionalism critique
Functionalism needs causation and intentionality to explain actions [Papineau]
     Full Idea: The functionalist approach to the mind needs to invoke assumptions about what desires are for and beliefs are about, in order to infer what agents will do.
     From: David Papineau (Philosophical Naturalism [1993], 3.2)
     A reaction: Isn't the idea that you discover what desires are for and what beliefs are about by examining their function, and what the agent does? Which end should we start?
17. Mind and Body / D. Property Dualism / 5. Supervenience of mind
Supervenience requires all mental events to have physical effects [Papineau]
     Full Idea: The argument for supervenience rests on the principle that any mental difference must be capable of showing itself in differential physical consequences.
     From: David Papineau (Philosophical Naturalism [1993], 1.8)
     A reaction: With our current knowledge of the brain, to assume anything less than this sort of correlation would be crazy.
Epiphenomenalism is supervenience without physicalism [Papineau]
     Full Idea: Supervenience is a necessary condition for physicalism, but it is not sufficient. Epiphenomenalism rules out mental variation without physical variation, but says mental properties are quite distinct from physical properties.
     From: David Papineau (Philosophical Naturalism [1993], 1.2)
     A reaction: I take full epiphenomenalism about mind to be incoherent, and not worth even mentioning (see Idea 7379). Papineau seems to be thinking of so-called property dualism (which may also be incoherent!).
17. Mind and Body / E. Mind as Physical / 1. Physical Mind
Knowing what it is like to be something only involves being (physically) that thing [Papineau]
     Full Idea: Physicalism does not deny that there are conscious experiences, nor that 'it is like something to have them'. The claim is only that this is nothing different from what it is to be a physical system of the relevant kind.
     From: David Papineau (Philosophical Naturalism [1993], 4.2)
     A reaction: The implication is that no physicalist is an extreme eliminativist about consciousness, which seems to be correct. We all concede that weather exists, but have a reductive view of it. The key question is whether mind is reducible to physics.
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / b. Multiple realisability
If a mental state is multiply realisable, why does it lead to similar behaviour? [Papineau]
     Full Idea: If functionalism implies that there is nothing physically in common among the realisations of a given mental state, then there is no possibility of any uniform explanation of why they all give rise to a common physical result.
     From: David Papineau (Philosophical Naturalism [1993], 2.2)
     A reaction: This is the well known interaction problem for dualism. The standard reply is to accept interaction as a given (with no apparent explanation). A miracle, if you like.
19. Language / F. Communication / 4. Private Language
The Private Language argument only means people may misjudge their experiences [Papineau]
     Full Idea: I take the moral of the Private Language argument to be that there must be room for error in people's judgements about their experiences, not that those judgements must necessarily be expressed in a language used by a community.
     From: David Papineau (Philosophical Naturalism [1993], 4.4 n10)
     A reaction: These two readings don't seem to be in conflict, and the argument must have something to say about the communal nature of thought expressed in language. Language imposes introspection on us?
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / h. Against ethics
Only the Cyrenaics reject the idea of a final moral end [Aristippus elder, by Annas]
     Full Idea: The Cyrenaics are the most radical ancient moral philosophers, since they are the only school explicitly to reject the importance of achieving an overall final end.
     From: report of Aristippus the elder (fragments/reports [c.395 BCE]) by Julia Annas - The Morality of Happiness 11.1
     A reaction: This looks like dropping out, but it could also be Keats's 'negative capability', of simply participating in existence without needing to do anything about it.
22. Metaethics / C. The Good / 2. Happiness / d. Routes to happiness
The road of freedom is the surest route to happiness [Aristippus elder, by Xenophon]
     Full Idea: The surest road to happiness is not the path through rule nor through servitude, but through liberty.
     From: report of Aristippus the elder (fragments/reports [c.395 BCE]) by Xenophon - Memorabilia of Socrates 2.1.9
     A reaction: The great anarchist slogan. Personally I don't believe it, because I agree a little with Hobbes that authority is required to make cooperation flourish, and that is essential for full happiness. If I were a slave, I would agree with Aristippus.
23. Ethics / A. Egoism / 3. Cyrenaic School
Pleasure is the good, because we always seek it, it satisfies us, and its opposite is the most avoidable thing [Aristippus elder, by Diog. Laertius]
     Full Idea: Pleasure is the good because we desire it from childhood, when we have it we seek nothing further, and the most avoidable thing is its opposite, pain.
     From: report of Aristippus the elder (fragments/reports [c.395 BCE]) by Diogenes Laertius - Lives of Eminent Philosophers 02.Ar.8
People who object to extravagant pleasures just love money [Aristippus elder, by Diog. Laertius]
     Full Idea: When blamed for buying expensive food he asked "Would you have bought it for just three obols?" When the person said yes, he said,"Then it is not that I am fond of pleasure, but that you are fond of money".
     From: report of Aristippus the elder (fragments/reports [c.395 BCE]) by Diogenes Laertius - Lives of Eminent Philosophers 02.7.4
25. Social Practice / D. Justice / 3. Punishment / b. Retribution for crime
Errors result from external influence, and should be corrected, not hated [Aristippus elder, by Diog. Laertius]
     Full Idea: Errors ought to meet with pardon, for a man does not err intentionally, but influenced by some external circumstances. We should not hate someone who has erred, but teach him better.
     From: report of Aristippus the elder (fragments/reports [c.395 BCE]) by Diogenes Laertius - Lives of Eminent Philosophers 02.Ar.9