Combining Philosophers

All the ideas for Archimedes, Karen Bennett and Michael Morris

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16 ideas

1. Philosophy / H. Continental Philosophy / 3. Hermeneutics
Interpreting a text is representing it as making sense [Morris,M]
     Full Idea: Interpreting a text is a matter of making sense of it. And to make sense of a text is to represent it as making sense.
     From: Michael Morris (Guidebook to Wittgenstein's Tractatus [2008], Intro.2)
     A reaction: 'Making sense' is obviously not a very precise or determinate concept. It is probably better to say that the process is 'trying' to make sense of the text, because most texts don't totally make sense.
5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence
Bipolarity adds to Bivalence the capacity for both truth values [Morris,M]
     Full Idea: According to the Principle of Bipolarity, every meaningful sentence must be capable both of being true and of being false. It is not enough merely that every sentence must be either true or false (which is Bivalence).
     From: Michael Morris (Guidebook to Wittgenstein's Tractatus [2008], 3D)
     A reaction: It is said that early Wittgenstein endorses this. That is, in addition to being true, the sentence must be capable of falsehood (and vice versa). This seems to be flirting with the verification principle. I presume it is 'affirmative' sentences.
5. Theory of Logic / G. Quantification / 1. Quantification
Conjunctive and disjunctive quantifiers are too specific, and are confined to the finite [Morris,M]
     Full Idea: There are two problems with defining the quantifiers in terms of conjunction and disjunction. The general statements are unspecific, and do not say which things have the properties, and also they can't range over infinite objects.
     From: Michael Morris (Guidebook to Wittgenstein's Tractatus [2008], 5C)
     A reaction: That is, the universal quantifier is lots of ands, and the existential is lots of ors. If there only existed finite objects, then naming them all would be universal, and the infinite wouldn't be needed.
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
Counting needs to distinguish things, and also needs the concept of a successor in a series [Morris,M]
     Full Idea: Just distinguishing things is not enough for counting (and hence arithmetic). We need the crucial extra notion of the successor in a series of some kind.
     From: Michael Morris (Guidebook to Wittgenstein's Tractatus [2008], Intro.5)
     A reaction: This is a step towards the Peano Axioms of arithmetic. The successors could be fingers and toes, taken in a conventional order, and matched one-to-one to the objects. 'My right big toe of cows' means 16 cows (but non-verbally).
To count, we must distinguish things, and have a series with successors in it [Morris,M]
     Full Idea: Distinguishing between things is not enough for counting. …We need the crucial extra notion of a successor in a series of a certain kind.
     From: Michael Morris (Guidebook to Wittgenstein's Tractatus [2008], Intro)
     A reaction: This is the thinking that led to the Dedekind-Peano axioms for arithmetic. E.g. each series member can only have one successor. There is an unformalisable assumption that the series can then be applied to the things.
Discriminating things for counting implies concepts of identity and distinctness [Morris,M]
     Full Idea: The discrimination of things for counting needs to bring with it the notion of identity (and, correlatively, distinctness).
     From: Michael Morris (Guidebook to Wittgenstein's Tractatus [2008], Intro.5)
     A reaction: Morris is exploring how practices like counting might reveal necessary truths about the world.
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz]
     Full Idea: Archimedes gave a sort of definition of 'straight line' when he said it is the shortest line between two points.
     From: report of Archimedes (fragments/reports [c.240 BCE]) by Gottfried Leibniz - New Essays on Human Understanding 4.13
     A reaction: Commentators observe that this reduces the purity of the original Euclidean axioms, because it involves distance and measurement, which are absent from the purest geometry.
7. Existence / C. Structure of Existence / 5. Supervenience / a. Nature of supervenience
Supervenience: No A-difference without a B-difference [Bennett,K]
     Full Idea: The slogan for supervenience might be 'there cannot be an A-difference without a B-difference'. …(qualifying as a 'perfect forgery' would be an example).
     From: Karen Bennett (Supervenience [2011], Intro)
     A reaction: The key point about supervenience is that it is one-way. Presumably 'tracking' would be a better single word for it than 'dependence', which implies some sort of causal power. Supervenience describes, but doesn't attempt to explain.
Supervenience is non-symmetric - sometimes it's symmetric, and sometimes it's one-way [Bennett,K]
     Full Idea: Supervenience is neither symmetric nor asymmetric; it is non-symmetric. Sometimes it holds symmetrically. …And sometimes it holds asymmetrically.
     From: Karen Bennett (Supervenience [2011], §3.2)
     A reaction: I think of supervenience as 'tracking'. Stalkers track victims; married couples track one another. Beauty tracks statues, but statues don't seem to track beauty. I take so-called mind-brain supervenience to be two-way, not one-way.
7. Existence / C. Structure of Existence / 5. Supervenience / b. Types of supervenience
Weak supervenience is in one world, strong supervenience in all possible worlds [Bennett,K]
     Full Idea: Weak supervenience says there is no possible world that contains individuals that are B-indiscernible but A-discernible. Strong supervenience entails the same even if they are in different possible worlds.
     From: Karen Bennett (Supervenience [2011], §4.1)
     A reaction: In other words (I presume), in simple language, the weak version says they happen supervene, the strong version says they have to supervene.
7. Existence / C. Structure of Existence / 5. Supervenience / c. Significance of supervenience
Aesthetics, morality and mind supervene on the physical? Modal on non-modal? General on particular? [Bennett,K]
     Full Idea: It has been claimed that aesthetic, moral and mental properties supervene upon physical properties, …and that modal truths supervene on non-modal ones, and that general truths supervene on particular ones.
     From: Karen Bennett (Supervenience [2011], Intro)
     A reaction: I am attracted to the last bit. I am bewildered by people who try to derive particular truths from general ones, such as deriving physical behaviour from laws, or the nature of some creature simply from its species. Only some tigers are man-eaters.
Some entailments do not involve supervenience, as when brotherhood entails siblinghood [Bennett,K]
     Full Idea: Some entailments do not suffice for supervenience. Being a brother entails being a sibling, but being a sibling does not supervene on being a brother. Sarah has a sister and Jack in an only child. Sarah, unlike Jack, is a sibling; neither is a brother.
     From: Karen Bennett (Supervenience [2011], §3.2)
     A reaction: The whole point of supervenience, I take it, is to label a relation of tracking, while offering no explanation of the tracking. Entailment would be a rather powerful explanation, as would a dog's being tied to a cart.
Reduction requires supervenience, but does supervenience suffice for reduction? [Bennett,K]
     Full Idea: Everyone agrees that reduction requires supervenience, …but the more interesting issue is whether supervenience suffices for reduction.
     From: Karen Bennett (Supervenience [2011], §3.3)
     A reaction: I think we should assume that there is a reason for every genuine case of supervenience (i.e. there are no cases of eternal or ubiquitious coincidence). One-way causation seems to give supervenience without reduction.
7. Existence / D. Theories of Reality / 6. Physicalism
Definitions of physicalism are compatible with a necessary God [Bennett,K]
     Full Idea: All definitions of physicalism are compatible with the existence of a necessarily existing God.
     From: Karen Bennett (Supervenience [2011], 5.4)
     A reaction: All the definitions seem to depend on all the facts covarying with the physical facts, so anything which is invariant (such as divine or platonic entities) will stand outside the definition. Physicalism is more like a credo about all facts whatever.
10. Modality / A. Necessity / 6. Logical Necessity
The metaphysically and logically possible worlds are the same, so they are the same strength [Bennett,K]
     Full Idea: Metaphysical necessity is just as strong as logical necessity in that the space of metaphysical possibility is exactly the same as the space of logical possibility: the logically possible worlds = the metaphysically possible worlds.
     From: Karen Bennett (Supervenience [2011], §3.1)
     A reaction: I think this is wrong. To be the 'same strength' there would also have to be the same number of logical as metaphysical truths, and I presume that is not the case. There are far more logical than metaphysical possibilities.
19. Language / D. Propositions / 1. Propositions
There must exist a general form of propositions, which are predictabe. It is: such and such is the case [Morris,M]
     Full Idea: The existence of a general propositional form is proved by the fact that there cannot be a proposition whose form could not have been foreseen (i.e. constructed). The general form of the proposition is: Such and such is the case.
     From: Michael Morris (Guidebook to Wittgenstein's Tractatus [2008], 4.5)
     A reaction: [last bit in Ogden translation] LW eventually expresses this symbolically. We could just say a proposition is an assertion. This strikes as either a rather empty claim, or an unfounded one.