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All the ideas for 'The Rationality of Science', 'Metaphysics: the logical approach' and 'Evidentialism'

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45 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
For science to be rational, we must explain scientific change rationally [Newton-Smith]
     Full Idea: We are only justified in regarding scientific practice as the very paradigm of rationality if we can justify the claim that scientific change is rationally explicable.
     From: W.H. Newton-Smith (The Rationality of Science [1981], I.2)
We do not wish merely to predict, we also want to explain [Newton-Smith]
     Full Idea: We do not wish merely to predict, we also want to explain.
     From: W.H. Newton-Smith (The Rationality of Science [1981], II.3)
The real problem of science is how to choose between possible explanations [Newton-Smith]
     Full Idea: Once we move beyond investigating correlations between observables the question of what does or should guide our choice between alternative explanatory accounts becomes problematic.
     From: W.H. Newton-Smith (The Rationality of Science [1981], IX.2)
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)
1. Philosophy / G. Scientific Philosophy / 2. Positivism
Positivists hold that theoretical terms change, but observation terms don't [Newton-Smith]
     Full Idea: For positivists it was taken that while theory change meant change in the meaning of theoretical terms, the meaning of observational terms was invariant under theory change.
     From: W.H. Newton-Smith (The Rationality of Science [1981], I.4)
Critics attack positivist division between theory and observation [Newton-Smith]
     Full Idea: The critics of positivism attacked the conception of a dichotomy between theory and observation.
     From: W.H. Newton-Smith (The Rationality of Science [1981], I.4)
3. Truth / A. Truth Problems / 6. Verisimilitude
Theories generate infinite truths and falsehoods, so they cannot be used to assess probability [Newton-Smith]
     Full Idea: We cannot explicate a useful notion of verisimilitude in terms of the number of truths and the number of falsehoods generated by a theory, because they are infinite.
     From: W.H. Newton-Smith (The Rationality of Science [1981], III.4)
More truthful theories have greater predictive power [Newton-Smith]
     Full Idea: If a theory is a better approximation to the truth, then it is likely that it will have greater predictive power.
     From: W.H. Newton-Smith (The Rationality of Science [1981], VIII.8)
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
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)
     A reaction: What happens when you try to derive metaphysics from logic. We must make the binary choice of quantifying or not over each thing. Why must Tom's fast walk be sliced up, or forced into precise sub-categories? Events overlap, and lack clear boundries.
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
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)
10. Modality / C. Sources of Modality / 1. Sources of Necessity
De re necessity arises from the way the world is [Newton-Smith]
     Full Idea: A necessary truth is 'de re' if its necessity arises from the way the world is.
     From: W.H. Newton-Smith (The Rationality of Science [1981], VII.6)
11. Knowledge Aims / A. Knowledge / 4. Belief / a. Beliefs
We must assess the truth of beliefs in identifying them [Newton-Smith]
     Full Idea: We cannot determine what someone's beliefs are independently of assessing to some extent the truth or falsity of the beliefs.
     From: W.H. Newton-Smith (The Rationality of Science [1981], X.4)
11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs
If the only aim is to believe truths, that justifies recklessly believing what is unsupported (if it is right) [Conee/Feldman]
     Full Idea: If it is intellectually required that one try to believe all and only truths (as Chisholm says), ...then it is possible to believe some unsubstantiated proposition in a reckless endeavour to believe a truth, and happen to be right.
     From: E Conee / R Feldman (Evidentialism [1985], 'Justification')
     A reaction: This implies doxastic voluntarism. Sorry! I meant, this implies that we can control what we believe, when actually we believe what impinges on us as facts.
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 / A. Justification Problems / 2. Justification Challenges / c. Knowledge closure
We don't have the capacity to know all the logical consequences of our beliefs [Conee/Feldman]
     Full Idea: Our limited cognitive capacities lead Goldman to deny a principle instructing people to believe all the logical consequences of their beliefs, since they are unable to have the infinite number of beliefs that following such a principle would require.
     From: E Conee / R Feldman (Evidentialism [1985], 'Doxastic')
     A reaction: This doesn't sound like much of an objection to epistemic closure, which I took to be the claim that you know the 'known' entailments of your knowledge.
13. Knowledge Criteria / E. Relativism / 6. Relativism Critique
Defeat relativism by emphasising truth and reference, not meaning [Newton-Smith]
     Full Idea: The challenge of incommensurability can be met once it is realised that in comparing theories the notions of truth and reference are more important than that of meaning.
     From: W.H. Newton-Smith (The Rationality of Science [1981], I.6)
14. Science / A. Basis of Science / 1. Observation
A full understanding of 'yellow' involves some theory [Newton-Smith]
     Full Idea: A full grasp of the concept '…is yellow' involves coming to accept as true bits of theory; that is, generalisations involving the term 'yellow'.
     From: W.H. Newton-Smith (The Rationality of Science [1981], II.2)
14. Science / A. Basis of Science / 5. Anomalies
All theories contain anomalies, and so are falsified! [Newton-Smith]
     Full Idea: According to Feyerabend all theories are born falsified, because no theory has ever been totally free of anomalies.
     From: W.H. Newton-Smith (The Rationality of Science [1981], III.9)
The anomaly of Uranus didn't destroy Newton's mechanics - it led to Neptune's discovery [Newton-Smith]
     Full Idea: When scientists observed the motion of Uranus, they did not give up on Newtonian mechanics. Instead they posited the existence of Neptune.
     From: W.H. Newton-Smith (The Rationality of Science [1981], III.9)
Anomalies are judged against rival theories, and support for the current theory [Newton-Smith]
     Full Idea: Whether to reject an anomaly has to be decided on the basis of the availability of a rival theory, and on the basis of the positive evidence for the theory in question.
     From: W.H. Newton-Smith (The Rationality of Science [1981], III.9)
14. Science / B. Scientific Theories / 1. Scientific Theory
Why should it matter whether or not a theory is scientific? [Newton-Smith]
     Full Idea: Why should it be so important to distinguish between theories that are scientific and those that are not?
     From: W.H. Newton-Smith (The Rationality of Science [1981], IV.3)
14. Science / B. Scientific Theories / 5. Commensurability
If theories are really incommensurable, we could believe them all [Newton-Smith]
     Full Idea: If theories are genuinely incommensurable why should I be faced with the problem of choosing between them? Why not believe them all?
     From: W.H. Newton-Smith (The Rationality of Science [1981], VII.1)
20. Action / C. Motives for Action / 3. Acting on Reason / c. Reasons as causes
Explaining an action is showing that it is rational [Newton-Smith]
     Full Idea: To explain an action as an action is to show that it is rational.
     From: W.H. Newton-Smith (The Rationality of Science [1981], X.2)
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)