Combining Philosophers

All the ideas for Anaxarchus, Jonathan Bennett and Jos A. Benardete

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37 ideas

1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
Metaphysics focuses on Platonism, essentialism, materialism and anti-realism [Benardete,JA]
     Full Idea: In contemporary metaphysics the major areas of discussion are Platonism, essentialism, materialism and anti-realism.
     From: José A. Benardete (Metaphysics: the logical approach [1989], After)
1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
There are the 'is' of predication (a function), the 'is' of identity (equals), and the 'is' of existence (quantifier) [Benardete,JA]
     Full Idea: At least since Russell, one has routinely distinguished between the 'is' of predication ('Socrates is wise', Fx), the 'is' of identity ('Morning Star is Evening Star', =), and the 'is' of existence ('the cat is under the bed', Ex).
     From: José A. Benardete (Metaphysics: the logical approach [1989], Ch. 7)
     A reaction: This seems horribly nitpicking to many people, but I love it - because it is just true, and it is a truth right at the basis of the confusions in our talk. Analytic philosophy forever! [P.S. 'Tiddles is a cat' - the 'is' membership]
1. Philosophy / F. Analytic Philosophy / 7. Limitations of Analysis
Analytical philosophy analyses separate concepts successfully, but lacks a synoptic vision of the results [Benardete,JA]
     Full Idea: Analytical philosophy excels in the piecemeal analysis of causation, perception, knowledge and so on, but there is a striking poverty of any synoptic vision of these independent studies.
     From: José A. Benardete (Metaphysics: the logical approach [1989], Ch.22)
1. Philosophy / G. Scientific Philosophy / 1. Aims of Science
Presumably the statements of science are true, but should they be taken literally or not? [Benardete,JA]
     Full Idea: As our bible, the Book of Science is presumed to contain only true sentences, but it is less clear how they are to be construed, which literally and which non-literally.
     From: José A. Benardete (Metaphysics: the logical approach [1989], Ch.13)
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Set theory attempts to reduce the 'is' of predication to mathematics [Benardete,JA]
     Full Idea: Set theory offers the promise of a complete mathematization of the 'is' of predication.
     From: José A. Benardete (Metaphysics: the logical approach [1989], Ch.13)
The set of Greeks is included in the set of men, but isn't a member of it [Benardete,JA]
     Full Idea: Set inclusion is sharply distinguished from set membership (as the set of Greeks is found to be included in, but not a member of, the set of men).
     From: José A. Benardete (Metaphysics: the logical approach [1989], Ch.13)
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
The standard Z-F Intuition version of set theory has about ten agreed axioms [Benardete,JA, by PG]
     Full Idea: Zermelo proposed seven axioms for set theory, with Fraenkel adding others, to produce the standard Z-F Intuition.
     From: report of José A. Benardete (Metaphysics: the logical approach [1989], Ch.17) by PG - Db (ideas)
6. Mathematics / A. Nature of Mathematics / 2. Geometry
Greeks saw the science of proportion as the link between geometry and arithmetic [Benardete,JA]
     Full Idea: The Greeks saw the independent science of proportion as the link between geometry and arithmetic.
     From: José A. Benardete (Metaphysics: the logical approach [1989], Ch.15)
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
Negatives, rationals, irrationals and imaginaries are all postulated to solve baffling equations [Benardete,JA]
     Full Idea: The Negative numbers are postulated (magic word) to solve x=5-8, Rationals postulated to solve 2x=3, Irrationals for x-squared=2, and Imaginaries for x-squared=-1. (…and Zero for x=5-5) …and x/0 remains eternally open.
     From: José A. Benardete (Metaphysics: the logical approach [1989], Ch.14)
Natural numbers are seen in terms of either their ordinality (Peano), or cardinality (set theory) [Benardete,JA]
     Full Idea: One approaches the natural numbers in terms of either their ordinality (Peano), or cardinality (set theory).
     From: José A. Benardete (Metaphysics: the logical approach [1989], Ch.17)
7. Existence / B. Change in Existence / 4. Events / a. Nature of events
Maybe an event's time of occurrence is essential to it [Bennett]
     Full Idea: It has been argued that an event's time of occurrence is essential to it.
     From: Jonathan Bennett (Event Causation: counterfactual analysis [1987], p.221)
     A reaction: [He cites Lawrence Lombard] This sound initially implausible, particularly if a rival event happened, say, .1 of a second later than the actual event. It might depend on one's view about determinism. Interesting.
If slowness is a property of walking rather than the walker, we must allow that events exist [Benardete,JA]
     Full Idea: Once we conceded that Tom can walk slowly or quickly, and that the slowness and quickness is a property of the walking and not of Tom, we can hardly refrain from quantifying over events (such as 'a walking') in our ontology.
     From: José A. Benardete (Metaphysics: the logical approach [1989], Ch. 6)
Maybe each event has only one possible causal history [Bennett]
     Full Idea: Perhaps it is impossible that an event should have had a causal history different from the one that it actually had.
     From: Jonathan Bennett (Event Causation: counterfactual analysis [1987], p.220)
     A reaction: [He cites van Inwagen for this] The idea is analagous to baptismal accounts of reference. Individuate an event by its history. It might depend (as Davidson implies) on how you describe the event.
7. Existence / B. Change in Existence / 4. Events / c. Reduction of events
Events are made of other things, and are not fundamental to ontology [Bennett]
     Full Idea: Events are not basic items in the universe; they should not be included in any fundamental ontology...all the truths about them are entailed by and explained and made true by truths that do not involve the event concept.
     From: Jonathan Bennett (Events and Their Names [1988], p.12), quoted by Peter Simons - Events 3.1
     A reaction: Given the variable time spans of events, their ability to coincide, their ability to contain no motion, their blatantly conventional component, and their recalcitrance to individuation, I say Bennett is right.
7. Existence / C. Structure of Existence / 8. Stuff / a. Pure stuff
Early pre-Socratics had a mass-noun ontology, which was replaced by count-nouns [Benardete,JA]
     Full Idea: With their 'mass-noun' ontologies, the early pre-Socratics were blind to plurality ...but the count-noun ontologists came to dominate the field forever after.
     From: José A. Benardete (Metaphysics: the logical approach [1989], Ch. 6)
     A reaction: The mass-nouns are such things as earth, air, fire and water. This is a very interesting historical observation (cited by Laycock). Our obsession with identity seems tied to formal logic. There is a whole other worldview waiting out there.
8. Modes of Existence / D. Universals / 6. Platonic Forms / d. Forms critiques
If there is no causal interaction with transcendent Platonic objects, how can you learn about them? [Benardete,JA]
     Full Idea: How can you learn of the existence of transcendent Platonic objects if there is no causal interaction with them?
     From: José A. Benardete (Metaphysics: the logical approach [1989], Ch.22)
9. Objects / C. Structure of Objects / 5. Composition of an Object
Why should packed-together particles be a thing (Mt Everest), but not scattered ones? [Benardete,JA]
     Full Idea: Why suppose these particles packed together constitute a macro-entity (namely, Mt Everest), whereas those, of equal number, scattered around, fail to add up to anything beyond themselves?
     From: José A. Benardete (Metaphysics: the logical approach [1989], Ch. 2)
9. Objects / D. Essence of Objects / 6. Essence as Unifier
Could a horse lose the essential property of being a horse, and yet continue to exist? [Benardete,JA]
     Full Idea: Is being a horse an essential property of a horse? Can we so much as conceive the abstract possibility of a horse's ceasing to be a horse even while continuing to exist?
     From: José A. Benardete (Metaphysics: the logical approach [1989], Ch.20)
9. Objects / E. Objects over Time / 2. Objects that Change
If a soldier continues to exist after serving as a soldier, does the wind cease to exist after it ceases to blow? [Benardete,JA]
     Full Idea: If a soldier need not cease to exist merely because he ceases to be a soldier, there is room to doubt that the wind ceases to exist when it ceases to be a wind.
     From: José A. Benardete (Metaphysics: the logical approach [1989], Ch. 6)
9. Objects / E. Objects over Time / 8. Continuity of Rivers
One can step into the same river twice, but not into the same water [Benardete,JA]
     Full Idea: One can step into the same river twice, but one must not expect to step into the same water.
     From: José A. Benardete (Metaphysics: the logical approach [1989], Ch.21)
9. Objects / F. Identity among Objects / 5. Self-Identity
Absolutists might accept that to exist is relative, but relative to what? How about relative to itself? [Benardete,JA]
     Full Idea: With the thesis that to be as such is to be relative, the absolutist may be found to concur, but the issue turns on what it might be that a thing is supposed to be relative to. Why not itself?
     From: José A. Benardete (Metaphysics: the logical approach [1989], Ch. 8)
Maybe self-identity isn't existence, if Pegasus can be self-identical but non-existent [Benardete,JA]
     Full Idea: 'Existence' can't be glossed as self-identical (critics say) because Pegasus, even while being self-identical, fails to exist.
     From: José A. Benardete (Metaphysics: the logical approach [1989], Ch.11)
12. Knowledge Sources / A. A Priori Knowledge / 1. Nature of the A Priori
The clearest a priori knowledge is proving non-existence through contradiction [Benardete,JA]
     Full Idea: One proves non-existence (e.g. of round squares) by using logic to derive a contradiction from the concept; it is precisely here, in such proofs, that we find the clearest example of a priori knowledge.
     From: José A. Benardete (Metaphysics: the logical approach [1989], Ch. 4)
12. Knowledge Sources / A. A Priori Knowledge / 5. A Priori Synthetic
If we know truths about prime numbers, we seem to have synthetic a priori knowledge of Platonic objects [Benardete,JA]
     Full Idea: Assume that we know to be true propositions of the form 'There are exactly x prime numbers between y and z', and synthetic a priori truths about Platonic objects are delivered to us on a silver platter.
     From: José A. Benardete (Metaphysics: the logical approach [1989], Ch.18)
Logical positivism amounts to no more than 'there is no synthetic a priori' [Benardete,JA]
     Full Idea: Logical positivism has been concisely summarised as 'there is no synthetic a priori'.
     From: José A. Benardete (Metaphysics: the logical approach [1989], Ch.18)
Assertions about existence beyond experience can only be a priori synthetic [Benardete,JA]
     Full Idea: No one thinks that the proposition that something exists that transcends all possible experience harbours a logical inconsistency. Its denial cannot therefore be an analytic proposition, so it must be synthetic, though only knowable on a priori grounds.
     From: José A. Benardete (Metaphysics: the logical approach [1989], Ch.18)
Appeals to intuition seem to imply synthetic a priori knowledge [Benardete,JA]
     Full Idea: Appeals to intuition - no matter how informal - can hardly fail to smack of the synthetic a priori.
     From: José A. Benardete (Metaphysics: the logical approach [1989], Ch.18)
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
26. Natural Theory / C. Causation / 1. Causation
Delaying a fire doesn't cause it, but hastening it might [Bennett]
     Full Idea: Although you cannot cause a fire by delaying something's burning, you can cause a fire by hastening something's burning.
     From: Jonathan Bennett (Event Causation: counterfactual analysis [1987], p.223)
     A reaction: A very nice observation which brings out all sorts of problems about identifying causes. Bennett is criticising the counterfactual account. It is part of the problem of pre-emption, where causes are queueing up to produce a given effect.
Either cause and effect are subsumed under a conditional because of properties, or it is counterfactual [Bennett]
     Full Idea: We must choose between subsumption and counterfactual analyses of causal statements. The former means that cause and effect have some properties that enables them to be subsumed under a conditional. The latter is just 'if no-c then no-e'.
     From: Jonathan Bennett (Event Causation: counterfactual analysis [1987], p.217)
     A reaction: I have an immediate preference for the former account, which seems to potentially connect it with physics and features of the world which make one thing lead to another. The counterfactual account seems very thin, and is more like mere semantics.
26. Natural Theory / C. Causation / 2. Types of cause
Causes are between events ('the explosion') or between facts/states of affairs ('a bomb dropped') [Bennett]
     Full Idea: Theories of causation are split between event and fact/state of affairs theories. The first have the form 'the explosion caused the fire' (perfect nominals) and the second have the form 'the fire started because a bomb dropped' (sentential clauses).
     From: Jonathan Bennett (Event Causation: counterfactual analysis [1987])
     A reaction: Surely events must have priority? The form which uses facts is drifting off into explanation, and is much more likely to involve subjective human elements and interpretations. Events are closer to the physics, and the mechanics of what happens.
26. Natural Theory / C. Causation / 8. Particular Causation / b. Causal relata
Facts are about the world, not in it, so they can't cause anything [Bennett]
     Full Idea: Facts are not the sort of item that can cause anything. A fact is a true proposition (they say); it is not something in the world but is rather something about the world.
     From: Jonathan Bennett (Events and Their Names [1988], p.22), quoted by Jonathan Schaffer - The Metaphysics of Causation 1.1
     A reaction: Compare 10361. Good argument, but maybe 'fact' is ambiguous. See Idea 10365. Events are said to be more concrete, and so can do the job, but their individuation also seems to depend on a description (as Davidson has pointed out).
26. Natural Theory / C. Causation / 9. General Causation / c. Counterfactual causation
The full counterfactual story asserts a series of events, because counterfactuals are not transitive [Bennett]
     Full Idea: The refinement of a simple counterfactual analysis is to say that cause and effect depend on a series of events. This must be asserted because counterfactual conditionals are well known not to be transitive.
     From: Jonathan Bennett (Event Causation: counterfactual analysis [1987])
     A reaction: This fills out the theory, but offers another target for critics. If the glue that binds the series is not in the counterfactuals, is it just in the mind of the speaker? How do you decide what's in the series? Cf. deciding offside in football (soccer!).
A counterfactual about an event implies something about the event's essence [Bennett]
     Full Idea: Any counterfactual about a particular event implies or presupposes something about the event's essence.
     From: Jonathan Bennett (Event Causation: counterfactual analysis [1987], p.219)
     A reaction: This is where the counterfactual theory suddenly becomes more interesting, instead of just being a rather bare account of the logical structure of causation. (Bennett offers some discussion of possible essential implications).
27. Natural Reality / C. Space / 3. Points in Space
Rationalists see points as fundamental, but empiricists prefer regions [Benardete,JA]
     Full Idea: Rationalists have been happier with an ontology of points, and empiricists with an ontology of regions.
     From: José A. Benardete (Metaphysics: the logical approach [1989], Ch.16)
27. Natural Reality / C. Space / 4. Substantival Space
Empty space is measurable in ways in which empty time necessarily is not [Bennett, by Shoemaker]
     Full Idea: Because of the multidimensionality of space and unidimensionality of time, empty space is measurable in ways in which empty time necessarily is not.
     From: report of Jonathan Bennett (Kant's Analytic [1966], p.175) by Sydney Shoemaker - Time Without Change p.49 n4
     A reaction: An interesting observation, which could have been used by Samuel Clarke in his attempts to prove absolute space to Leibniz. The point does not prove absolute space, of course, but it seems to make a difference.
28. God / B. Proving God / 2. Proofs of Reason / a. Ontological Proof
In the ontological argument a full understanding of the concept of God implies a contradiction in 'There is no God' [Benardete,JA]
     Full Idea: In the ontological argument a deep enough understanding of the very concept of God allows one to derive by logic a contradiction from the statement 'There is no God'.
     From: José A. Benardete (Metaphysics: the logical approach [1989], Ch. 4)