Combining Philosophers

All the ideas for Einstein,A/Infeld,L, Anselm and Tyler Burge

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25 ideas

3. Truth / A. Truth Problems / 1. Truth
Anselm of Canterbury identified truth with God [Anselm, by Engel]
     Full Idea: Anselm of Canterbury identified truth with God.
     From: report of Anselm (De Veritate (On Truth) [1095]) by Pascal Engel - Truth §1.6
     A reaction: An interesting claim, perhaps, depending on what it means. God decrees truth, God knows all truth, God makes truth possible, God connects us to the world, God is the world…?
5. Theory of Logic / A. Overview of Logic / 3. Value of Logic
Given that thinking aims at truth, logic gives universal rules for how to do it [Burge]
     Full Idea: The laws of logic - which are constituted by atemporal thoughts and atemporal subject matter - provide universal prescriptions of how one ought to think, given that one's thinking has the function of attaining truth.
     From: Tyler Burge (Frege on Knowing the Third Realm [1992], p.316)
     A reaction: Burge is giving, and endorsing, Frege's view. Burge is fighting a rearguard action, when logical systems keep proliferating. See Idea 10282. I sympathise with the dream of Burge and Frege.
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
We now have a much more sophisticated understanding of logical form in language [Burge]
     Full Idea: The second half of the twentieth century has seen the development of a vastly more sophisticated sense of logical form, as applied to natural languages.
     From: Tyler Burge (Philosophy of Mind: 1950-2000 [2005], p.462)
     A reaction: Burge cites this as one of the three big modern developments (along with the critique of logical positivism, and direct reference/anti-individualism). Vagueness may be the last frontier for this development.
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
We come to believe mathematical propositions via their grounding in the structure [Burge]
     Full Idea: A deeper justification for believing in [mathematical] propositions [apart from pragmatism] lies in finding their place in a logicist proof structure, by understanding the grounds within this structure that support them.
     From: Tyler Burge (Frege on Knowing the Foundations [1998], 3)
     A reaction: This generalises to doubting something until you see what grounds it.
6. Mathematics / A. Nature of Mathematics / 2. Geometry
The equivalent algebra model of geometry loses some essential spatial meaning [Burge]
     Full Idea: Geometrical concepts appear to depend in some way on a spatial ability. Although one can translate geometrical propositions into algebraic ones and produce equivalent models, the meaning of the propositions seems to me to be thereby lost.
     From: Tyler Burge (Frege on Apriority (with ps) [2000], 4)
     A reaction: I think this is a widely held view nowadays. Giaquinto has a book on it. A successful model of something can't replace it. Set theory can't replace arithmetic.
You can't simply convert geometry into algebra, as some spatial content is lost [Burge]
     Full Idea: Although one can translate geometrical propositions into algebraic ones and produce equivalent models, the meaning of geometrical propositions seems to me to be thereby lost. Pure geometry involves spatial content, even if abstracted from physical space.
     From: Tyler Burge (Frege on Apriority [2000], IV)
     A reaction: This supports Frege's view (against Quine) that geometry won't easily fit into the programme of logicism. I agree with Burge. You would be focusing on the syntax of geometry, and leaving out the semantics.
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
Peano arithmetic requires grasping 0 as a primitive number [Burge]
     Full Idea: In the Peano axiomatisation, arithmetic seems primitively to involve the thought that 0 is a number.
     From: Tyler Burge (Frege on Apriority (with ps) [2000], 5)
     A reaction: Burge is pointing this out as a problem for Frege, for whom only the logic is primitive.
12. Knowledge Sources / A. A Priori Knowledge / 1. Nature of the A Priori
Is apriority predicated mainly of truths and proofs, or of human cognition? [Burge]
     Full Idea: Whereas Leibniz and Frege predicate apriority primarily of truths (or more fundamentally, proofs of truths), Kant predicates apriority primarily of cognition and the employment of representations.
     From: Tyler Burge (Frege on Apriority (with ps) [2000], 1)
13. Knowledge Criteria / C. External Justification / 1. External Justification
Subjects may be unaware of their epistemic 'entitlements', unlike their 'justifications' [Burge]
     Full Idea: I call 'entitlement' (as opposed to justification) the epistemic rights or warrants that need not be understood by or even be accessible to the subject.
     From: Tyler Burge (Content Preservation [1993]), quoted by Paul Boghossian - Analyticity Reconsidered §III
     A reaction: I espouse a coherentism that has both internal and external components, and is mediated socially. In Burge's sense, animals will sometimes have 'entitlement'. I prefer, though, not to call this 'knowledge'. 'Entitled true belief' is good.
15. Nature of Minds / A. Nature of Mind / 6. Anti-Individualism
Anti-individualism says the environment is involved in the individuation of some mental states [Burge]
     Full Idea: Anti-individualism is the view that not all of an individual's mental states and events can be type-individuated independently of the nature of the entities in the individual's physical or social environment environment.
     From: Tyler Burge (Philosophy of Mind: 1950-2000 [2005], p.453)
     A reaction: While the Twin Earth experiment emphasises the physical environment, Burge has been responsible for emphasising the social environment. The suspicion is that the whole concept of 'individual' minds will collapse on this view.
Broad concepts suggest an extension of the mind into the environment (less computer-like) [Burge]
     Full Idea: Certain thought experiments made trouble for standard functionalism, which limits input/output to the surface of an individual; proposals to extend this into the environment reduces the reliance on a computer paradigm, but increases complexity.
     From: Tyler Burge (Philosophy of Mind: 1950-2000 [2005], p.454)
     A reaction: [He has the Twin Earth experiment in mind] The jury is out on this, but it looks a bit of a slippery slope. Accounts of action and responsibility need a fairly sharp concept of an individual. Externalism begins to look like just a new scepticism.
16. Persons / C. Self-Awareness / 2. Knowing the Self
Anti-individualism may be incompatible with some sorts of self-knowledge [Burge]
     Full Idea: The idea of anti-individualism raised problems about self-knowledge. The question is whether anti-individualism is compatible with some sort of authoritative or privileged warrant for certain types of self-knowledge.
     From: Tyler Burge (Philosophy of Mind: 1950-2000 [2005], p.457)
     A reaction: [See under 'Nature of Minds' for 'Anti-individualism'] The thought is that if your mind is not entirely in your head, you can no longer be an expert on it. It might go the other way: obviously we can be self-experts, so anti-individualism is wrong.
17. Mind and Body / C. Functionalism / 1. Functionalism
Some qualities of experience, like blurred vision, have no function at all [Burge]
     Full Idea: There appear to be qualitative aspects of experience that have no function in the life of the organism. They constitute dysfunction or noise. Blurriness in a visual experience is an example.
     From: Tyler Burge (Philosophy of Mind: 1950-2000 [2005], p.460)
     A reaction: The best account of blurred vision would seem to be adverbial - I see 'in a blurred way' (nay, blurredly). Hence maybe blurred vision is functional, but it just isn't functioning very well.
18. Thought / C. Content / 1. Content
Are meaning and expressed concept the same thing? [Burge, by Segal]
     Full Idea: It is Burge's view that what a word means should be distinguished from the concept it expresses.
     From: report of Tyler Burge (Frege on Extensions from Concepts [1984]) by Gabriel M.A. Segal - A Slim Book about Narrow Content 3.2
     A reaction: Presumably the immediate meaning (e.g. of 'arthritis') is socially determined, while the concept is fixed by history? Or what?
26. Natural Theory / D. Laws of Nature / 7. Strictness of Laws
If there are no finks or antidotes at the fundamental level, the laws can't be ceteris paribus [Burge, by Corry]
     Full Idea: Bird argues that there are no finks at the fundamental level, and unlikely to be any antidotes. It then follows that laws at the fundamental level will all be strict - not ceteris paribus - laws.
     From: report of Tyler Burge (Intellectual Norms and Foundations of Mind [1986]) by Richard Corry - Dispositional Essentialism Grounds Laws of Nature? 3
     A reaction: [Bird's main target is Nancy Cartwright 1999] This is a nice line of argument. Isn't part of the ceteris paribus problem that two fundamental laws might interfere with one another?
27. Natural Reality / B. Modern Physics / 2. Electrodynamics / b. Fields
The concept of a field gradually replaced the substances in explaining relations between charges [Einstein/Infeld]
     Full Idea: In the beginning the field concept was no more than a means of facilitating the understanding of phenomena. ...In the new field language it is the field and not the charges themselves which is essential. The substance was overshadowed by the field.
     From: Einstein,A/Infeld,L (The Evolution of Physics [1938], p.151), quoted by Penelope Maddy - Naturalism in Mathematics II.4
     A reaction: This is very important for philosophical metaphysicians, especially those like me who want to explain the universe by the nature of the stuff that composes it. The 'stuff' had better not be simplistic individual 'substances'.
28. God / B. Proving God / 2. Proofs of Reason / a. Ontological Proof
Conceiving a greater being than God leads to absurdity [Anselm]
     Full Idea: If some mind could think of something better than thou, the creature would rise above the Creator and judge its Creator; but this is altogether absurd.
     From: Anselm (Proslogion [1090], Ch 3)
     A reaction: An error, revealing a certain desperation. If a greafer being could be conceived than the being so far imagined as God (a necessarily existing being), that being would BE God, by his own argument (and not some arrogant 'creature').
Even the fool can hold 'a being than which none greater exists' in his understanding [Anselm]
     Full Idea: Even the fool must be convinced that a being than which none greater can be thought exists at least in his understanding, since when he hears this he understands it, and whatever is understood is in the understanding.
     From: Anselm (Proslogion [1090], Ch 2)
     A reaction: Psalm 14.1: 'The fool hath said in his heart, there is no God'. But how does the fool interpret the words, if he has limited imagination? He might get no further than an attractive film star. He would need prompting to think of a spiritual being.
If that than which a greater cannot be thought actually exists, that is greater than the mere idea [Anselm]
     Full Idea: Clearly that than which a greater cannot be thought cannot exist in the understanding alone. For it it is actually in the understanding alone, it can be thought of as existing also in reality, and this is greater.
     From: Anselm (Proslogion [1090], Ch 2)
     A reaction: The suppressed premise is 'something actually existing is greater than the mere conception of it'. As it stands this is wrong. I can imagine a supreme evil. But see Idea 21243.
A perfection must be independent and unlimited, and the necessary existence of Anselm's second proof gives this [Malcolm on Anselm]
     Full Idea: Anselm's second proof works, because he sees that necessary existence (or the impossibility of non-existence) really is a perfection. This is because a perfection requires no dependence or limit or impediment.
     From: comment on Anselm (Proslogion [1090], Ch 3) by Norman Malcolm - Anselm's Argument Sect II
     A reaction: I have the usual problem, that it doesn't seem to follow that the perfect existence of something bestows a perfection. It may be necessary that 'for every large animal there exists a disease'. Satan may exist necessarily.
The word 'God' can be denied, but understanding shows God must exist [Anselm]
     Full Idea: We think of a thing when we say the world, and in another way when we think of the very thing itself. In the second sense God cannot be thought of as nonexistent. No one who understands can think God does not exist.
     From: Anselm (Proslogion [1090], Ch 4)
     A reaction: It seems open to the atheist to claim the exact opposite - that you can commit to God's existence if it is just a word, but understanding shows that God is impossible (perhaps because of contradictions). How to arbitrate?
Guanilo says a supremely fertile island must exist, just because we can conceive it [Anselm]
     Full Idea: Guanilo supposes that we imagine an island surpassing all lands in its fertility. We might then say that we cannot doubt that it truly exists is reality, because anyone can conceive it from a verbal description.
     From: Anselm (Proslogion [1090], Reply 3)
     A reaction: Guanilo was a very naughty monk, who must have had sleepless nights over this. One could further ask whether an island might have necessary existence. Anselm needs 'a being' to be a special category of thing.
Nonexistence is impossible for the greatest thinkable thing, which has no beginning or end [Anselm]
     Full Idea: If anyone does think of something a greater than which cannot be thought, then he thinks of something which cannot be thought of as nonexistent, ...for then it could be thought of as having a beginning and an end. And this is impossible.
     From: Anselm (Proslogion [1090], Reply 3)
     A reaction: A nice idea, but it has a flip side. If the atheist denies God's existence, then it follows that (because no beginning is possible for such a being) the existence of God is impossible. Anselm adds that contingent existents have parts (unlike God).
An existing thing is even greater if its non-existence is inconceivable [Anselm]
     Full Idea: Something can be thought of as existing, which cannot be thought of as not existing, and this is greater than that which cannot be thought of as not existing.
     From: Anselm (Proslogion [1090], Ch 3)
     A reaction: This is a necessary addition, to single out the concept of God as special. But you really must give reasons for saying God's non-existence is inconceivable. Atheists seem to manage.
28. God / B. Proving God / 2. Proofs of Reason / b. Ontological Proof critique
Anselm's first proof fails because existence isn't a real predicate, so it can't be a perfection [Malcolm on Anselm]
     Full Idea: Anselm's first proof fails, because he treats existence as being a perfection, which it isn't, because that would make it a real predicate.
     From: comment on Anselm (Proslogion [1090], Ch 2) by Norman Malcolm - Anselm's Argument Sect I
     A reaction: Not everyone accepts Kant's claim that existence cannot be a predicate. They all seem to know what a perfection is. Can the Mona Lisa (an object) not be a perfection? Must it be broken down into perfect predicates?