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All the ideas for 'The Logic of Boundaryless Concepts', 'Environmental Politics: very short intro' and 'Metaphysics: the logical approach'

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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)
5. Theory of Logic / A. Overview of Logic / 3. Value of Logic
Logic guides thinking, but it isn't a substitute for it [Rumfitt]
     Full Idea: Logic is part of a normative theory of thinking, not a substitute for thinking.
     From: Ian Rumfitt (The Logic of Boundaryless Concepts [2007], p.13)
     A reaction: There is some sort of logicians' dream, going back to Leibniz, of a reasoning engine, which accepts propositions and outputs inferences. I agree with this idea. People who excel at logic are often, it seems to me, modest at philosophy.
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
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)
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 / B. Unity of Objects / 3. Unity Problems / e. Vague objects
Vague membership of sets is possible if the set is defined by its concept, not its members [Rumfitt]
     Full Idea: Vagueness in respect of membership is consistency with determinacy of the set's identity, so long as a set's identity is taken to consist, not in its having such-and-such members, but in its being the extension of a concept.
     From: Ian Rumfitt (The Logic of Boundaryless Concepts [2007], p.5)
     A reaction: I find this view of sets much more appealing than the one that identifies a set with its members. The empty set is less of a problem, as well as non-existents. Logicians prefer the extensional view because it is tidy.
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
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)
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)
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
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)
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)
24. Political Theory / C. Ruling a State / 4. Changing the State / b. Devolution
The environment needs localised politics, with its care for the land [Dobson]
     Full Idea: More localised politics helps to generate the disposition of care for the land which is a core feature of environmental politics.
     From: Andrew Dobson (Environmental Politics: very short intro [2016], 4)
     A reaction: I currently live in a time when localised politics is hugely devalued, because centralisation and privatisation are cheaper. It seems obvious that many human needs require a commitment to a particular locality.
24. Political Theory / D. Ideologies / 1. Ideology
An ideology judges things now, and offers an ideal, with a strategy for reaching it [Dobson]
     Full Idea: An ideology generally has three components: a judgement (usually critical) of how things are, a picture of the ideology's ideal society, and a strategy for progressing towards the ideal.
     From: Andrew Dobson (Environmental Politics: very short intro [2016], 2)
     A reaction: Conservatives tend to think we are already living in the ideal, and they reject most ideologies for being 'idealistic' (which presumably means delusional). I'm a fan of ideals, but combined with cool judgement.
24. Political Theory / D. Ideologies / 6. Liberalism / g. Liberalism critique
Ecologism is often non-liberal, by claiming to know other people's best interests [Dobson]
     Full Idea: Liberals say that their preferences are their interests, and resist the idea that anyone could know their interests better than they can. …To this degree, ecologism might be regarded as 'non-liberal'.
     From: Andrew Dobson (Environmental Politics: very short intro [2016], 2)
     A reaction: There are lots of other cases where liberal citizens may not realise their best interests, such as in the control of traffic, or of drugs.
24. Political Theory / D. Ideologies / 8. Socialism
Socialism can be productive and centralised, or less productive and decentralised [Dobson]
     Full Idea: Marx and his heirs promote a productivist socialism, but utopian socialists such as William Morris offer a less productivist and more decentralised form of socialism.
     From: Andrew Dobson (Environmental Politics: very short intro [2016], 2)
     A reaction: Modern history teaches us to be very cautious about the centralised version. Presumably you could be decentralised but still value production highly, even if it is a bit less efficient.
24. Political Theory / D. Ideologies / 12. Feminism
Difference feminists say women differ fundamentally from men [Dobson]
     Full Idea: Difference feminists argue that men and women are fundamentally different.
     From: Andrew Dobson (Environmental Politics: very short intro [2016], 2)
     A reaction: You can be significantly different without being 'fundamentally' different. Personally I don't see a huge difference, even though history may have greatly exaggerated and dramatised what differences there are.
24. Political Theory / D. Ideologies / 13. Green Politics
For the environment, affluence and technology matter as much as population size [Dobson]
     Full Idea: Although bare population figures are important for environmental impact, the level of affluence and the technology are also crucial factors.
     From: Andrew Dobson (Environmental Politics: very short intro [2016], 2)
     A reaction: It is worth noting that the technology can also have a good impact, though affluence is nearly always bad.
We currently value the present fourteen times more highly than the future [Dobson]
     Full Idea: At current rates we seem to value present concerns as fourteen times more valuable than future concerns.
     From: Andrew Dobson (Environmental Politics: very short intro [2016], 2)
     A reaction: A sobering figure, which sounds about right. This directly influences how much we spend on future concerns. One thought is that future generations may be much more affluent than us!
A million years is a proper unit of political time [Dobson]
     Full Idea: We must acknowledge that a million years is a proper unit of political time.
     From: Andrew Dobson (Environmental Politics: very short intro [2016], 5)
     A reaction: [He cites Colin Tudge] Such thinking is almost impossible, but owners of large aristocratic estates seem to have thought in centuries, because they were confident of continuity. The more we identify with all of humanity, the more this is possible.
Ecologism says growth must be reduced, and efficiency is not enough [Dobson]
     Full Idea: A central belief of the ideology of ecologism is that aggregate growth must be reduced, and that this is very unlikely to be achieved by efficiency gains alone.
     From: Andrew Dobson (Environmental Politics: very short intro [2016], 2)
     A reaction: He argues that efficiency gains invariably lead to increased production. Trickle down economics needs huge growth to deliver a good life for the poorest sector. Ecologism has to be fairly egalitarian about wealth.
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)
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)