Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'The Relation of Sense-Data to Physics' and 'Identity and Existence in Logic'

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28 ideas

4. Formal Logic / E. Nonclassical Logics / 6. Free Logic
Free logics has terms that do not designate real things, and even empty domains [Anderson,CA]
     Full Idea: Free logics say 1) singular terms are allowed that do not designate anything that exists; sometimes 2) is added: the domain of discourse is allowed to be empty. Logics with both conditions are called 'universally free logics'.
     From: C. Anthony Anderson (Identity and Existence in Logic [2014], 2.3)
     A reaction: I really like the sound of this, and aim to investigate it. Karel Lambert's writings are the starting point. Maybe the domain of logic is our concepts, rather than things in the world, in which case free logic sounds fine.
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
Basic variables in second-order logic are taken to range over subsets of the individuals [Anderson,CA]
     Full Idea: Under its now standard principal interpretation, the monadic predicate variables in second-order logic range over subsets of the domain on individuals.
     From: C. Anthony Anderson (Identity and Existence in Logic [2014], 1.5)
     A reaction: This is an interpretation in which properties are just sets of things, which is fine if you are a logician, but not if you want to talk about anything important. Still, we must play the game. Boolos introduced plural quantification at this point.
5. Theory of Logic / G. Quantification / 7. Unorthodox Quantification
Stop calling ∃ the 'existential' quantifier, read it as 'there is...', and range over all entities [Anderson,CA]
     Full Idea: Ontological quantifiers might just as well range over all the entities needed for the semantics. ...The minimal way would be to just stop calling '∃' an 'existential quantifier', and always read it as 'there is...' rather than 'there exists...'.
     From: C. Anthony Anderson (Identity and Existence in Logic [2014], 2.6)
     A reaction: There is no right answer here, but it seems to be the strategy adopted by most logicians, and the majority of modern metaphysicians. They just allow abstracta, and even fictions, to 'exist', while not being fussy what it means. Big mistake!
7. Existence / A. Nature of Existence / 2. Types of Existence
Do mathematicians use 'existence' differently when they say some entity exists? [Anderson,CA]
     Full Idea: A cursory examination shows that mathematicians have no aversion to saying that this-or-that mathematical entity exists. But is this a different sense of 'existence'?
     From: C. Anthony Anderson (Identity and Existence in Logic [2014], 2.6)
     A reaction: For those of us like me and my pal Quine who say that 'exist' is univocal (i.e. only one meaning), this is a nice challenge. Quine solves it by saying maths concerns sets of objects. I, who don't like sets, am puzzled (so I turn to fictionalism...).
7. Existence / C. Structure of Existence / 8. Stuff / a. Pure stuff
Continuity is a sufficient criterion for the identity of a rock, but not for part of a smooth fluid [Russell]
     Full Idea: Continuity is not a sufficient criterion of material identity; it is sufficient in many cases, such as rocks and tables, where the appearances change slowly, but in others, such as the parts of an approximately homogeneous fluid, it fails us utterly.
     From: Bertrand Russell (The Relation of Sense-Data to Physics [1914], §XI)
     A reaction: It might be debatable to what extent the 'parts' of a homogeneous fluid have identity. How many 'parts' are there in a glass of water? This seems, now, a problem for internalists; externalists can define the identity by the unseen molecules.
7. Existence / D. Theories of Reality / 11. Ontological Commitment / a. Ontological commitment
We can distinguish 'ontological' from 'existential' commitment, for different kinds of being [Anderson,CA]
     Full Idea: There are sensible ways to maike a distinction between different kinds of being. ..One need not fear that this leads to a 'bloated ontology'. ...We need only distinguish 'ontological commitment' from 'existential commitment'
     From: C. Anthony Anderson (Identity and Existence in Logic [2014], 2.6)
     A reaction: He speaks of giving fictional and abstract entities a 'lower score' in existence. I think he means the 'ontological' commitment to be the stronger of the two.
9. Objects / A. Existence of Objects / 1. Physical Objects
Physical things are series of appearances whose matter obeys physical laws [Russell]
     Full Idea: We may lay down the following definition: Physical things are those series of appearances whose matter obeys the laws of physics.
     From: Bertrand Russell (The Relation of Sense-Data to Physics [1914], §XI)
     A reaction: We will then have to define the laws of physic without making any reference to 'physical things'. There is an obvious suspicion of circularity somewhere here. I find it very odd to define objects just in terms of their appearances.
9. Objects / A. Existence of Objects / 4. Impossible objects
's is non-existent' cannot be said if 's' does not designate [Anderson,CA]
     Full Idea: The paradox of negative existentials says that if 's' does not designate something, then the sentence 's is non-existent' is untrue.
     From: C. Anthony Anderson (Identity and Existence in Logic [2014], 2.1)
     A reaction: This only seems be a problem for logicians. Everyone else can happily say 'my coffee is non-existent'.
We cannot pick out a thing and deny its existence, but we can say a concept doesn't correspond [Anderson,CA]
     Full Idea: Parmenides was correct - one cannot speak of that which is not, even to say that it is not. But one can speak of concepts and say of them that they do not correspond to anything real.
     From: C. Anthony Anderson (Identity and Existence in Logic [2014], 2.5)
     A reaction: [This summarises Alonso Church, who was developing Frege] This sounds like the right thing to say about non-existence, but then the same principle must apply to assertions of existence, which will also be about concepts and not things.
9. Objects / A. Existence of Objects / 5. Individuation / a. Individuation
Individuation was a problem for medievals, then Leibniz, then Frege, then Wittgenstein (somewhat) [Anderson,CA]
     Full Idea: The medieval philosophers and then Leibniz were keen on finding 'principles of individuation', and the idea appears again in Frege, to be taken up in some respects by Wittgenstein.
     From: C. Anthony Anderson (Identity and Existence in Logic [2014], 1.6)
     A reaction: I take a rather empirical approach to this supposed problem, and suggest we break 'individuation' down into its component parts, and then just drop the word. Discussions of principles of individuations strike me as muddled. Wiggins and Lowe today.
9. Objects / B. Unity of Objects / 2. Substance / e. Substance critique
We need not deny substance, but there seems no reason to assert it [Russell]
     Full Idea: It is not necessary to deny a substance or substratum underlying appearances; it is merely expedient (by the application of Occam's Razor) to abstain from asserting this unnecessary entity.
     From: Bertrand Russell (The Relation of Sense-Data to Physics [1914], §V)
     A reaction: Russell then goes on to struggle heroically in attempts to give accounts of 'matter' and 'objects' entirely in terms of 'sense-data'. If he failed, as many think he did, should we go back to belief in Aristotelian substance?
The assumption by physicists of permanent substance is not metaphysically legitimate [Russell]
     Full Idea: The assumption of permanent substance, which technically underlies the procedure of physics, cannot of course be regarded as metaphysically legitimate.
     From: Bertrand Russell (The Relation of Sense-Data to Physics [1914], §XI)
     A reaction: It is a moot point whether physicists still thought this way after the full arrival of quantum theory in 1926. Russell raises all sorts of nice questions about the relationship between physics and philosophy here. I'm on Russell's side.
9. Objects / F. Identity among Objects / 7. Indiscernible Objects
The notion of 'property' is unclear for a logical version of the Identity of Indiscernibles [Anderson,CA]
     Full Idea: In the Identity of Indiscernibles, one speaks about properties, and the notion of a property is by no means clearly fixed and formalized in modern symbolic logic.
     From: C. Anthony Anderson (Identity and Existence in Logic [2014], 1.5)
     A reaction: The unclarity of 'property' is a bee in my philosophical bonnet, in speech, and in metaphysics, as well as in logic. It may well be the central problem in our attempts to understand the world in general terms. He cites intensional logic as promising.
11. Knowledge Aims / C. Knowing Reality / 2. Phenomenalism
Where possible, logical constructions are to be substituted for inferred entities [Russell]
     Full Idea: The supreme maxim in scientific philosophising is this: Wherever possible, logical constructions are to be substituted for inferred entities.
     From: Bertrand Russell (The Relation of Sense-Data to Physics [1914], §VI)
     A reaction: This seems to represent Russell's first move (in 1914) into what looks like phenomenalism. One might ask what is the difference between 'logical constructions' and 'inferred entities'. The latter appear to have unity, so I prefer them.
12. Knowledge Sources / B. Perception / 4. Sense Data / b. Nature of sense-data
No sensibile is ever a datum to two people at once [Russell]
     Full Idea: No sensibile is ever a datum to two people at once.
     From: Bertrand Russell (The Relation of Sense-Data to Physics [1914], §VII)
     A reaction: So a loud bang has to broken down into an almost infinite number of sound sensibilia - each one presumably the size of the apperture of a small ear. This is beginning to sound a bit silly.
Russell held that we are aware of states of our own brain [Russell, by Robinson,H]
     Full Idea: Russell held that we are aware of states of our own brain.
     From: report of Bertrand Russell (The Relation of Sense-Data to Physics [1914]) by Howard Robinson - Perception 1.1
     A reaction: I can't say that I had ever intepreted Russell in this way, but it is a wonderfully thought-provoking idea. All the time that I thought I was looking at a table, I was just looking at my own brain, and drawing an unspoken inference that a table caused it.
Sense-data are qualities devoid of subjectivity, which are the basis of science [Russell, by Deleuze/Guattari]
     Full Idea: Rather than oppose sensory knowledge and scientific knowledge, we should identify the sensibilia that are peculiar to science. This is what Russell did when he evoked sense-data, qualities devoid of all subjectivity.
     From: report of Bertrand Russell (The Relation of Sense-Data to Physics [1914]) by G Deleuze / F Guattari - What is Philosophy? 2.5
     A reaction: An interesting observation. Russell is striking for his lack of interest in theories of arts and ethics, and his whole work focuses on understanding the scientific view. What is involved in sensibilia is a key modern issue (e.g. McDowell).
Sense-data are not mental, but are part of the subject-matter of physics [Russell]
     Full Idea: I regard sense-data as not mental, and as being, in fact, part of the actual subject-matter of physics.
     From: Bertrand Russell (The Relation of Sense-Data to Physics [1914], §III)
     A reaction: Russell had clearly given himself an ontological problem with the introduction of sense-data, and this is his drastic solution. In 1912 his account seems ambiguous between sense-data being mental and being physical.
Sense-data are objects, and do not contain the subject as part, the way beliefs do [Russell]
     Full Idea: Logically a sense-datum is an object, a particular of which the subject is aware; it does not contain the subject as a part, as for example beliefs and volitions do.
     From: Bertrand Russell (The Relation of Sense-Data to Physics [1914], §IV)
     A reaction: This very firmly rejects any notion that a sense-datum is mental. It is a left as a strange sort of object which gets as close as it is possible to get to the 'borders' of the mind, without actually becoming part of it.
Sense-data are usually objects within the body, but are not part of the subject [Russell]
     Full Idea: The sense-datum is an external object of which in sensation the subject is aware; it is true that the sense-datum is in many cases in the subject's body, but the subject's body is as distinct from the subject as tables and chairs are.
     From: Bertrand Russell (The Relation of Sense-Data to Physics [1914], §IV)
     A reaction: This is probably Russell's clearest statement of the nature of sense-data, which are objects within the subjects body, but are not part of the mind. So once again we come up against the question of their ontology. Are they made of neurons?
12. Knowledge Sources / B. Perception / 4. Sense Data / c. Unperceived sense-data
We do not know whether sense-data exist as objects when they are not data [Russell]
     Full Idea: We do not know, except by means of more or less precarious inferences, whether the objects which are at one time sense-data continue to exist at times when they are not data.
     From: Bertrand Russell (The Relation of Sense-Data to Physics [1914], §II)
     A reaction: Note that he actually refers to sense-data as 'objects'. It shows how thoroughly reified they are in his theory if they have the possibility of independent existence. This invites the question 'what are they made of?'
'Sensibilia' are identical to sense-data, without actually being data for any mind [Russell]
     Full Idea: I shall give the name 'sensibilia' to those objects which have the same metaphysical and physical status as sense-data without necessarily being data to any mind.
     From: Bertrand Russell (The Relation of Sense-Data to Physics [1914], §III)
     A reaction: This is his response to the problem of whether sense-data can exist independently of experience, which was unclear in 1912. Presumably sensibilia are objects which are possible sources of experience, but that seems to cover most objects.
Ungiven sense-data can no more exist than unmarried husbands [Russell]
     Full Idea: We cannot ask, 'Can sense-data exist without being given?' for that is like asking, 'Can husbands exist without being married?'
     From: Bertrand Russell (The Relation of Sense-Data to Physics [1914], §III)
     A reaction: This follows hard on Idea 6460, which introduces the idea of 'sensibilia' for things which are like sense-data, but are not 'given'. This is a new distinction in 1914, which he had not made in 1912.
12. Knowledge Sources / B. Perception / 4. Sense Data / d. Sense-data problems
Individuating sense-data is difficult, because they divide when closely attended to [Russell]
     Full Idea: There is some difficulty in deciding what is to be considered one sense-datum: often attention causes divisions to appear where, so far as can be discovered, there were no divisions before.
     From: Bertrand Russell (The Relation of Sense-Data to Physics [1914], §II)
     A reaction: This was, I suspect, why Russell had dropped the idea of sense-data by 1921. He does, however, say that they are the last unit in analysis, rather than being the most basic unit of perception. In other words, they are purely theoretical.
Sense-data may be subjective, if closing our eyes can change them [Russell]
     Full Idea: One reason often alleged for the subjectivity of sense-data is that the appearance of a thing itself may change when we find it hard to suppose that the thing itself has changed - as when we shut our eyes, or screw them up to make things look double.
     From: Bertrand Russell (The Relation of Sense-Data to Physics [1914], §VIII)
     A reaction: Russell firmly denies that they are subjective. These examples are also said to support to proposed existence of sense-data in the first place, since they show the gap between appearance and reality.
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]
     Full Idea: The six perfections are of giving, morality, patience, vigour, meditation, and wisdom.
     From: Nagarjuna (Mahaprajnaparamitashastra [c.120], 88)
     A reaction: What is 'morality', if giving is not part of it? I like patience and vigour being two of the virtues, which immediately implies an Aristotelian mean (which is always what is 'appropriate').
27. Natural Reality / B. Modern Physics / 4. Standard Model / a. Concept of matter
Matter is the limit of appearances as distance from the object diminishes [Russell]
     Full Idea: We offer the following tentative definition: The matter of a given thing is the limit of its appearances as their distance from the thing diminishes.
     From: Bertrand Russell (The Relation of Sense-Data to Physics [1914], §IX)
     A reaction: This strikes me as empiricism gone mad. Russell is famous for being a 'realist', but you would hardly know it at this point. Personally I put emphasis on 'best explanation', which fairly simply delivers most of our commonsense understandings of reality.
27. Natural Reality / C. Space / 2. Space
There is 'private space', and there is also the 'space of perspectives' [Russell]
     Full Idea: In addition to the private spaces, ..there is the 'space of perspectives', since each private world may be regarded as the appearance which the universe presents from a certain point of view.
     From: Bertrand Russell (The Relation of Sense-Data to Physics [1914], §VII)
     A reaction: This replaces his concept of 'public space', which he introduced in 1912. Russell gradually dropped this, but I like the idea that we somehow directly perceive space in two ways simultaneously (which led him to say that space is six-dimensional).