Combining Philosophers

All the ideas for Anaxarchus, John Gray and JP Burgess / G Rosen

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28 ideas

1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
Human knowledge may not produce well-being; the examined life may not be worth living [Gray]
     Full Idea: Human knowledge is one thing, human well-being another. There is no predetermined harmony between the two. The examined life may not be worth living.
     From: John Gray (Straw Dogs [2002], 1.9)
     A reaction: John Gray has set himself up as the Eeyore of modern times, but this point may obviously be correct. Presumably Socrates meant that the examined life was better even if the result was less 'well-being'. Even Gray doesn't want a lobotomy.
3. Truth / H. Deflationary Truth / 2. Deflationary Truth
'True' is only occasionally useful, as in 'everything Fermat believed was true' [Burgess/Rosen]
     Full Idea: In the disquotational view of truth, what saves truth from being wholly redundant and so wholly useless, is mainly that it provides an ability to state generalisations like 'Everything Fermat believed was true'.
     From: JP Burgess / G Rosen (A Subject with No Object [1997], I.A.2.c)
     A reaction: Sounds like the thin end of the wedge. Presumably we can infer that the first thing Fermat believed on his last Christmas Day was true.
4. Formal Logic / D. Modal Logic ML / 1. Modal Logic
Modal logic gives an account of metalogical possibility, not metaphysical possibility [Burgess/Rosen]
     Full Idea: If you want a logic of metaphysical possibility, the existing literature was originally developed to supply a logic of metalogical possibility, and still reflects its origins.
     From: JP Burgess / G Rosen (A Subject with No Object [1997], II.B.3.b)
     A reaction: This is a warning shot (which I don't fully understand) to people like me, who were beginning to think they could fill their ontology with possibilia, which could then be incorporated into the wider account of logical thinking. Ah well...
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets
The paradoxes are only a problem for Frege; Cantor didn't assume every condition determines a set [Burgess/Rosen]
     Full Idea: The paradoxes only seem to arise in connection with Frege's logical notion of extension or class, not Cantor's mathematical notion of set. Cantor never assumed that every condition determines a set.
     From: JP Burgess / G Rosen (A Subject with No Object [1997], III.C.1.b)
     A reaction: This makes the whole issue a parochial episode in the history of philosophy, not a central question. Cantor favoured some sort of abstractionism (see Kit Fine on the subject).
4. Formal Logic / G. Formal Mereology / 1. Mereology
Mereology implies that acceptance of entities entails acceptance of conglomerates [Burgess/Rosen]
     Full Idea: Mereology has ontological implications. The acceptance of some initial entities involves the acceptance of many further entities, arbitrary wholes having the entities as parts. It must accept conglomerates. Geometric points imply geometric regions.
     From: JP Burgess / G Rosen (A Subject with No Object [1997], II.C.1.b)
     A reaction: Presumably without the wholes being entailed by the parts, there is no subject called 'mereology'. But if the conglomeration is unrestricted, there is not much left to be said. 'Restricted' composition (by nature?) sounds a nice line.
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
A relation is either a set of sets of sets, or a set of sets [Burgess/Rosen]
     Full Idea: While in general a relation is taken to be a set of ordered pairs <u, v> = {{u}, {u, v}}, and hence a set of sets of sets, in special cases a relation can be represented by a set of sets.
     From: JP Burgess / G Rosen (A Subject with No Object [1997], II.C.1.a)
     A reaction: [See book for their examples, which are <, symmetric, and arbitrary] The fact that a relation (or anything else) can be represented in a certain way should never ever be taken to mean that you now know what the thing IS.
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / a. Set theory paradoxes
The paradoxes no longer seem crucial in critiques of set theory [Burgess/Rosen]
     Full Idea: Recent commentators have de-emphasised the set paradoxes because they play no prominent part in motivating the most articulate and active opponents of set theory, such as Kronecker (constructivism) or Brouwer (intuitionism), or Weyl (predicativism).
     From: JP Burgess / G Rosen (A Subject with No Object [1997], III.C.1.b)
     A reaction: This seems to be a sad illustration of the way most analytical philosophers have to limp along behind the logicians and mathematicians, arguing furiously about problems that have largely been abandoned.
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
We should talk about possible existence, rather than actual existence, of numbers [Burgess/Rosen]
     Full Idea: The modal strategy for numbers is to replace assumptions about the actual existence of numbers by assumptions about the possible existence of numbers
     From: JP Burgess / G Rosen (A Subject with No Object [1997], II.B.3.a)
     A reaction: This seems to be quite a good way of dealing with very large numbers and infinities. It is not clear whether 5 is so regularly actualised that we must consider it as permanent, or whether it is just a prominent permanent possibility.
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
Structuralism and nominalism are normally rivals, but might work together [Burgess/Rosen]
     Full Idea: Usually structuralism and nominalism are considered rivals. But structuralism can also be the first step in a strategy of nominalist reconstrual or paraphrase.
     From: JP Burgess / G Rosen (A Subject with No Object [1997], II.C.0)
     A reaction: Hellman and later Chihara seem to be the main proponents of nominalist structuralism. My sympathies lie with this strategy. Are there objects at the nodes of the structure, or is the structure itself platonic? Mill offers a route.
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
Number words became nouns around the time of Plato [Burgess/Rosen]
     Full Idea: The transition from using number words purely as adjectives to using them extensively as nouns has been traced to 'around the time of Plato'.
     From: JP Burgess / G Rosen (A Subject with No Object [1997], III.C.2.a)
     A reaction: [The cite Kneale and Kneale VI,§2 for this] It is just too tempting to think that in fact Plato (and early Platonists) were totally responsible for this shift, since the whole reification of numbers seems to be inherently platonist.
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete
Abstract/concrete is a distinction of kind, not degree [Burgess/Rosen]
     Full Idea: The distinction of abstract and concrete is one of kind and not degree.
     From: JP Burgess / G Rosen (A Subject with No Object [1997], I.A.1.a)
     A reaction: I think I must agree with this. If there is a borderline, it would be in particulars that seem to have an abstract aspect to them. A horse involves the abstraction of being a horse, and it involves be one horse.
Much of what science says about concrete entities is 'abstraction-laden' [Burgess/Rosen]
     Full Idea: Much of what science says about concrete entities is 'abstraction-laden'.
     From: JP Burgess / G Rosen (A Subject with No Object [1997], III.A.1.d)
     A reaction: Not just science. In ordinary conversation we continually refer to particulars using so-called 'universal' predicates and object-terms, which are presumably abstractions. 'I've just seen an elephant'.
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / b. Levels of abstraction
Mathematics has ascended to higher and higher levels of abstraction [Burgess/Rosen]
     Full Idea: In mathematics, since the beginning of the nineteenth century, there has been an ascent to higher and higher levels of abstraction.
     From: JP Burgess / G Rosen (A Subject with No Object [1997], II.C.1.b)
     A reaction: I am interested in clarifying what this means, which might involve the common sense and psychological view of the matter, as well as some sort of formal definition in terms of equivalence (or whatever).
Abstraction is on a scale, of sets, to attributes, to type-formulas, to token-formulas [Burgess/Rosen]
     Full Idea: There is a scale of abstractness that leads downwards from sets through attributes to formulas as abstract types and on to formulas as abstract tokens.
     From: JP Burgess / G Rosen (A Subject with No Object [1997], III.B.2.c)
     A reaction: Presumably the 'abstract tokens' at the bottom must have some interpretation, to support the system. Presumably one can keep going upwards, through sets of sets of sets.
13. Knowledge Criteria / C. External Justification / 9. Naturalised Epistemology
Knowledge does not need minds or nervous systems; it is found in all living things [Gray]
     Full Idea: Knowledge does not need minds, or even nervous systems. It is found in all living things.
     From: John Gray (Straw Dogs [2002], 2.10)
     A reaction: I consider it a misnomer to call such things 'knowledge', for which I have much higher standards. Gray is talking about 'information'. Knowledge needs reasons, and possibility of error, not just anticipatory behaviour.
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
Anaxarchus said that he was not even sure that he knew nothing [Anaxarchus, by Diog. Laertius]
     Full Idea: Anaxarchus said that he was not even sure that he knew nothing.
     From: report of Anaxarchus (fragments/reports [c.340 BCE]) by Diogenes Laertius - Lives of Eminent Philosophers 09.10.1
16. Persons / F. Free Will / 5. Against Free Will
The will hardly ever does anything; most of our life just happens to us [Gray]
     Full Idea: We think our actions express our decisions, but in nearly all of our life, willing decides nothing. We cannot wake up or fall asleep, remember or forget our dreams, summon or banish our thoughts, by deciding to do so.
     From: John Gray (Straw Dogs [2002], 2.12)
     A reaction: Gray's point does not rule out occasional total control over mental life, but his point is important. The traditional picture is of a life controlled, so the will is seen as at the centre of a person, but it just isn't the case.
18. Thought / E. Abstraction / 2. Abstracta by Selection
The old debate classified representations as abstract, not entities [Burgess/Rosen]
     Full Idea: The original debate was over abstract ideas; thus it was mental (or linguistic) representations that were classified as abstract or otherwise, and not the entities represented.
     From: JP Burgess / G Rosen (A Subject with No Object [1997], I.A.1.b)
     A reaction: This seems to beg the question of whether there are any such entities. It is equally plausible to talk of the entities that are 'constructed', rather than 'represented'.
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
Nowadays we identify the free life with the good life [Gray]
     Full Idea: We do not value freedom more than people did in earlier times, but we have identified the good life with the chosen life.
     From: John Gray (Straw Dogs [2002], 3.13)
     A reaction: Interesting. This is Enlightenment liberalism gradually filtering down into common consciousness, especially via the hegemony of American culture. I sympathise the Gray; don't get me wrong, but I think freedom is overrated.
27. Natural Reality / C. Space / 2. Space
If space is really just a force-field, then it is a physical entity [Burgess/Rosen]
     Full Idea: According to many philosophical commentators, a force-field must be considered to be a physical entity, and as the distinction between space and the force-field may be considered to be merely verbal, space itself may be considered to be a physical entity.
     From: JP Burgess / G Rosen (A Subject with No Object [1997], II.A.1)
     A reaction: The ontology becomes a bit odd if we cheerfully accept that space is physical, but then we can't give the same account of time. I'm not sure how time could be physical. What's it made of?
27. Natural Reality / G. Biology / 4. Ecology
Over forty percent of the Earth's living tissue is human [Gray]
     Full Idea: Humans co-opt over forty per cent of the Earth's living tissue.
     From: John Gray (Straw Dogs [2002], 4.15)
     A reaction: If you add our domestic animals, I understand that the figure goes up to 95 per cent! I take this to be virtually the only significant ecological fact - population, population, population. Why are there so many cars? So many carbon footprints?
28. God / C. Attitudes to God / 5. Atheism
Free atheism should start by questioning its faith in humanity [Gray]
     Full Idea: A free-thinking atheism would begin by questioning the prevailing faith in humanity. But there is little prospect of contemporary atheists giving up their reverence for this phantom.
     From: John Gray (Seven Types of Atheism [2018], Conc)
     A reaction: He seems to be referring to 'humanism', which I take to be quite different from atheism. I take it as obvious that simple atheism is entirely neutral on the question of whether we should have 'faith' in humanity (which presumably mean optimism).
29. Religion / A. Polytheistic Religion / 4. Dualist Religion
Gnosticism has a supreme creator God, giving way to a possibly hostile Demiurge [Gray]
     Full Idea: Gnostic traditions envisage a supreme God that created the universe and then withdrew into itself, leaving the world to be ruled by a lesser god, or Demiurge, which might be indifferent or hostile to mankind.
     From: John Gray (Seven Types of Atheism [2018], Intro)
     A reaction: It doesn't seem to solve any problems, given that the first God is 'supreme', and is therefore responsible for the introduction and actions of the later Demiurge.
29. Religion / B. Monotheistic Religion / 2. Judaism
Judaism only became monotheistic around 550 BCE [Gray]
     Full Idea: It was only sometime around the sixth century BC, during the period when the Israelites returned to Jerusalem, that the idea that there is only one God emerged in Jewish religion.
     From: John Gray (Seven Types of Atheism [2018], Intro)
     A reaction: There seems to be a parallel move among the Greeks to elevate Zeus to special status.
29. Religion / B. Monotheistic Religion / 4. Christianity / a. Christianity
Without Christianity we lose the idea that human history has a meaning [Gray]
     Full Idea: For Christians, it is because they occur in history that the lives of humans have a meaning that the lives of other animals do not. ..If we truly leave Christianity behind, we must give up the idea that human history has a meaning.
     From: John Gray (Straw Dogs [2002], 2.3)
     A reaction: Interesting. Compare the dispute between 'whig' and 'tory' historians, the former of whom believe that history is going somewhere.
Christians introduced the idea that a religion needs a creed [Gray]
     Full Idea: The notion that religions are creeds - lists of propositions or doctrines that everyone must accept or reject - emerged only with Christianity.
     From: John Gray (Seven Types of Atheism [2018], Intro)
     A reaction: With a creed comes the possibility of heresy. I''m not happy with children being taught to recite something which begins 'I believe…', but which they have never thought about and barely understand.
What was our original sin, and how could Christ's suffering redeem it? [Gray]
     Full Idea: No one can say what was humankind's original sin, and no one understands how the suffering of Christ can redeem it.
     From: John Gray (Straw Dogs [2002], 4.1)
     A reaction: This nicely articulates a problem that has half bothered me, but I have never put into words. I always assumed Eve committed the sin, and Adam cops the blame for not controlling his woman. Dying for our sins has always puzzled me.
29. Religion / C. Spiritual Disciplines / 3. Buddhism
Buddhism has no divinity or souls, and the aim is to lose the illusion of a self [Gray]
     Full Idea: Buddhism says nothing of any divine mind and rejects any idea of the soul. The world consists of processes and events. The human sense of self is an illusion; freedom is found in ridding oneself of this illusion.
     From: John Gray (Seven Types of Atheism [2018], Intro)
     A reaction: I'm not clear why shaking off the illusion of a self is a superior state. Freedom to do what? Presumably nothing at all, since there is no self to desire anything.