Combining Philosophers

All the ideas for Charles Parsons, Richard Foley and George Santayana

unexpand these ideas     |    start again     |     specify just one area for these philosophers


16 ideas

1. Philosophy / C. History of Philosophy / 1. History of Philosophy
He who is ignorant of the history of philosophy is doomed to repeat it [Santayana, by MacIntyre]
     Full Idea: Santayana remarked that he who is ignorant of the history of philosophy is doomed to repeat it.
     From: report of George Santayana (The Life of Reason [1906]) by Alasdair MacIntyre - A Short History of Ethics Ch.1
     A reaction: Santayana's remark seems to have been about history in general, so this is a Macintyre thought. It obviously has a lot of truth, and most great philosophers seem hugely knowledgeable. However, ignorance brings a kind of freedom.
2. Reason / A. Nature of Reason / 6. Coherence
Coherentists seek relations among beliefs that are simple, conservative and explanatory [Foley]
     Full Idea: Coherentists try to provide an explication of epistemic rationality in terms of a set of deductive and probabilistic relations among beliefs and properties such as simplicity, conservativeness, and explanatory power.
     From: Richard Foley (Justified Belief as Responsible Belief [2005], p.317)
     A reaction: I have always like the coherentist view of justification, and now I see that this has led me to the question of explanation, which in turn has led me to essentialism. It's all coming together. Watch this space. 'Explanatory' is the key to everything!
4. Formal Logic / D. Modal Logic ML / 4. Alethic Modal Logic
Modal logic is not an extensional language [Parsons,C]
     Full Idea: Modal logic is not an extensional language.
     From: Charles Parsons (A Plea for Substitutional Quantification [1971], p.159 n8)
     A reaction: [I record this for investigation. Possible worlds seem to contain objects]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
The old problems with the axiom of choice are probably better ascribed to the law of excluded middle [Parsons,C]
     Full Idea: The difficulties historically attributed to the axiom of choice are probably better ascribed to the law of excluded middle.
     From: Charles Parsons (Review of Tait 'Provenance of Pure Reason' [2009], §2)
     A reaction: The law of excluded middle was a target for the intuitionists, so presumably the debate went off in that direction.
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
Substitutional existential quantifier may explain the existence of linguistic entities [Parsons,C]
     Full Idea: I argue (against Quine) that the existential quantifier substitutionally interpreted has a genuine claim to express a concept of existence, which may give the best account of linguistic abstract entities such as propositions, attributes, and classes.
     From: Charles Parsons (A Plea for Substitutional Quantification [1971], p.156)
     A reaction: Intuitively I have my doubts about this, since the whole thing sounds like a verbal and conventional game, rather than anything with a proper ontology. Ruth Marcus and Quine disagree over this one.
On the substitutional interpretation, '(∃x) Fx' is true iff a closed term 't' makes Ft true [Parsons,C]
     Full Idea: For the substitutional interpretation of quantifiers, a sentence of the form '(∃x) Fx' is true iff there is some closed term 't' of the language such that 'Ft' is true. For the objectual interpretation some object x must exist such that Fx is true.
     From: Charles Parsons (A Plea for Substitutional Quantification [1971], p.156)
     A reaction: How could you decide if it was true for 't' if you didn't know what object 't' referred to?
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck]
     Full Idea: In Parsons's demonstrative model of counting, '1' means the first, and counting says 'the first, the second, the third', where one is supposed to 'tag' each object exactly once, and report how many by converting the last ordinal into a cardinal.
     From: report of Charles Parsons (Frege's Theory of Numbers [1965]) by Richard G. Heck - Cardinality, Counting and Equinumerosity 3
     A reaction: This sounds good. Counting seems to rely on that fact that numbers can be both ordinals and cardinals. You don't 'convert' at the end, though, because all the way you mean 'this cardinality in this order'.
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
General principles can be obvious in mathematics, but bold speculations in empirical science [Parsons,C]
     Full Idea: The existence of very general principles in mathematics are universally regarded as obvious, where on an empiricist view one would expect them to be bold hypotheses, about which a prudent scientist would maintain reserve.
     From: Charles Parsons (Mathematical Intuition [1980], p.152), quoted by Penelope Maddy - Naturalism in Mathematics
     A reaction: This is mainly aimed at Quine's and Putnam's indispensability (to science) argument about mathematics.
6. Mathematics / C. Sources of Mathematics / 8. Finitism
If functions are transfinite objects, finitists can have no conception of them [Parsons,C]
     Full Idea: The finitist may have no conception of function, because functions are transfinite objects.
     From: Charles Parsons (Review of Tait 'Provenance of Pure Reason' [2009], §4)
     A reaction: He is offering a view of Tait's. Above my pay scale, but it sounds like a powerful objection to the finitist view. Maybe there is a finitist account of functions that could be given?
7. Existence / A. Nature of Existence / 6. Criterion for Existence
The criterion of existence is the possibility of action [Santayana]
     Full Idea: The possibility of action ...is the criterion of existence, and the test of substantiality.
     From: George Santayana (The Realm of Matter [1930], p.107), quoted by John Heil - The Universe as We Find It
     A reaction: I rather like this. I think I would say the power is the criterion of existence.
7. Existence / D. Theories of Reality / 11. Ontological Commitment / e. Ontological commitment problems
If a mathematical structure is rejected from a physical theory, it retains its mathematical status [Parsons,C]
     Full Idea: If experience shows that some aspect of the physical world fails to instantiate a certain mathematical structure, one will modify the theory by sustituting a different structure, while the original structure doesn't lose its status as part of mathematics.
     From: Charles Parsons (Review of Tait 'Provenance of Pure Reason' [2009], §2)
     A reaction: This seems to be a beautifully simple and powerful objection to the Quinean idea that mathematics somehow only gets its authority from physics. It looked like a daft view to begin with, of course.
13. Knowledge Criteria / A. Justification Problems / 3. Internal or External / a. Pro-internalism
Rational internal belief is conviction that a proposition enhances a belief system [Foley, by Vahid]
     Full Idea: In Foley's subjective internalist account it is egocentrically rational for an agent to believe a proposition only if he would think on deep reflection that believing it is conducive to having an accurate and comprehensive belief system.
     From: report of Richard Foley (The Theory of Epistemic Rationality [1987], 2.1 B) by Hamid Vahid - Externalism/Internalism
     A reaction: I like this idea, because it indicates the link between internalism and coherence about justification. I don't think you can be an externalist coherence theorist for justification. [Reminder: Paul Thagard is the best writer on coherence].
13. Knowledge Criteria / A. Justification Problems / 3. Internal or External / c. Disjunctivism
Externalists want to understand knowledge, Internalists want to understand justification [Foley]
     Full Idea: Externalists are principally interested in understanding what knowledge is, ..while internalists, by contrast, are principally interested in explicating a sense of justification ..from one's own perspective.
     From: Richard Foley (Justified Belief as Responsible Belief [2005], p.314)
     A reaction: I find this very helpful, since I have a strong bias towards internalism (with a social dimension), and I see now that it is because I am more interested in what a (good) justification is than what some entity in reality called 'knowledge' consists of.
13. Knowledge Criteria / B. Internal Justification / 2. Pragmatic justification
We aren't directly pragmatic about belief, but pragmatic about the deliberation which precedes it [Foley]
     Full Idea: It is rare for pragmatic considerations to influence the rationality of our beliefs in the crass, direct way that Pascal's Wager envisions. Instead, they determine the direction and shape of our investigative and deliberative projects and practices.
     From: Richard Foley (Justified Belief as Responsible Belief [2005], p.320)
     A reaction: [See Idea 6684 for Pascal's Wager] Foley is evidently a full-blown pragmatist (which is bad), but this is nicely put. We can't deny the importance of the amount of effort put into an enquiry. Maybe it is an epistemic duty, rather than a means to an end.
Justification comes from acceptable procedures, given practical constraints [Foley]
     Full Idea: One justifiably believes a proposition if one has an epistemically rational belief that one's procedures with respect to it have been acceptable, given practical limitations, and one's goals.
     From: Richard Foley (Justified Belief as Responsible Belief [2005], p.322)
     A reaction: I quite like this, except that it is too individualistic. My goals, and my standards of acceptability decree whether I know? I don't see the relevance of goals; only a pragmatist would mention such a thing. Standards of acceptability are social.
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
The good is not relative, but is rooted in facts about human needs [Santayana]
     Full Idea: The good is by no means relative to opinion, but is rooted in the unconscious and fatal nature of living beings, a nature which predetermines for them the difference between foods and poisons, happiness and misery.
     From: George Santayana (Platonism and the Spiritual Life [1927], p.3), quoted by John Gray - Seven Types of Atheism 6
     A reaction: That is, he concedes that the good is relative to human beings, but that the relevant facts about human beings are not relative. I think he has the correct picture. The key point is that the good is 'rooted' in something, and doesn't just float free.