Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'Philosophy and the Mirror of Nature' and 'The Foundations of Mathematics'

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24 ideas

1. Philosophy / F. Analytic Philosophy / 7. Limitations of Analysis
Analytical philosophy seems to have little interest in how to tell a good analysis from a bad one [Rorty]
     Full Idea: There is nowadays little attempt to bring "analytic philosophy" to self-consciousness by explaining how to tell a successful from an unsuccessful analysis.
     From: Richard Rorty (Philosophy and the Mirror of Nature [1980], 4.1)
2. Reason / C. Styles of Reason / 3. Eristic
Rational certainty may be victory in argument rather than knowledge of facts [Rorty]
     Full Idea: We can think of "rational certainty" as a matter of victory in argument rather than relation to an object known.
     From: Richard Rorty (Philosophy and the Mirror of Nature [1980], 3.4)
3. Truth / A. Truth Problems / 9. Rejecting Truth
Rorty seems to view truth as simply being able to hold one's view against all comers [Rorty, by O'Grady]
     Full Idea: Rorty seems to view truth as simply being able to hold one's view against all comers.
     From: report of Richard Rorty (Philosophy and the Mirror of Nature [1980]) by Paul O'Grady - Relativism Ch.4
     A reaction: This may be a caricature of Rorty, but he certainly seems to be in the business of denying truth as much as possible. This strikes me as the essence of pragmatism, and as a kind of philosophical nihilism.
3. Truth / E. Pragmatic Truth / 1. Pragmatic Truth
For James truth is "what it is better for us to believe" rather than a correct picture of reality [Rorty]
     Full Idea: Truth is, in James' phrase, "what it is better for us to believe", rather than "the accurate representation of reality".
     From: Richard Rorty (Philosophy and the Mirror of Nature [1980], Intro)
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
Infinity: there is an infinity of distinguishable individuals [Ramsey]
     Full Idea: The Axiom of Infinity means that there are an infinity of distinguishable individuals, which is an empirical proposition.
     From: Frank P. Ramsey (The Foundations of Mathematics [1925], §5)
     A reaction: The Axiom sounds absurd, as a part of a logical system, but Ramsey ends up defending it. Logical tautologies, which seem to be obviously true, are rendered absurd if they don't refer to any objects, and some of them refer to infinities of objects.
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
Reducibility: to every non-elementary function there is an equivalent elementary function [Ramsey]
     Full Idea: The Axiom of Reducibility asserted that to every non-elementary function there is an equivalent elementary function [note: two functions are equivalent when the same arguments render them both true or both false].
     From: Frank P. Ramsey (The Foundations of Mathematics [1925], §2)
     A reaction: Ramsey in the business of showing that this axiom from Russell and Whitehead is not needed. He says that the axiom seems to be needed for induction and for Dedekind cuts. Since the cuts rest on it, and it is weak, Ramsey says it must go.
5. Theory of Logic / D. Assumptions for Logic / 4. Identity in Logic
Either 'a = b' vacuously names the same thing, or absurdly names different things [Ramsey]
     Full Idea: In 'a = b' either 'a' and 'b' are names of the same thing, in which case the proposition says nothing, or of different things, in which case it is absurd. In neither case is it an assertion of a fact; it only asserts when a or b are descriptions.
     From: Frank P. Ramsey (The Foundations of Mathematics [1925], §1)
     A reaction: This is essentially Frege's problem with Hesperus and Phosphorus. How can identities be informative? So 2+2=4 is extensionally vacuous, but informative because they are different descriptions.
5. Theory of Logic / L. Paradox / 1. Paradox
Contradictions are either purely logical or mathematical, or they involved thought and language [Ramsey]
     Full Idea: Group A consists of contradictions which would occur in a logical or mathematical system, involving terms such as class or number. Group B contradictions are not purely logical, and contain some reference to thought, language or symbolism.
     From: Frank P. Ramsey (The Foundations of Mathematics [1925], p.171), quoted by Graham Priest - The Structure of Paradoxes of Self-Reference 1
     A reaction: This has become the orthodox division of all paradoxes, but the division is challenged by Priest (Idea 13373). He suggests that we now realise (post-Tarski?) that language is more involved in logic and mathematics than we thought.
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Formalists neglect content, but the logicists have focused on generalizations, and neglected form [Ramsey]
     Full Idea: The formalists neglected the content altogether and made mathematics meaningless, but the logicians neglected the form and made mathematics consist of any true generalisations; only by taking account of both sides can we obtain an adequate theory.
     From: Frank P. Ramsey (The Foundations of Mathematics [1925], §1)
     A reaction: He says mathematics is 'tautological generalizations'. It is a criticism of modern structuralism that it overemphasises form, and fails to pay attention to the meaning of the concepts which stand at the 'nodes' of the structure.
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Formalism is hopeless, because it focuses on propositions and ignores concepts [Ramsey]
     Full Idea: The hopelessly inadequate formalist theory is, to some extent, the result of considering only the propositions of mathematics and neglecting the analysis of its concepts.
     From: Frank P. Ramsey (The Foundations of Mathematics [1925], §1)
     A reaction: You'll have to read Ramsey to see how this thought pans out, but it at least gives a pointer to how to go about addressing the question.
11. Knowledge Aims / A. Knowledge / 4. Belief / d. Cause of beliefs
I just confront the evidence, and let it act on me [Ramsey]
     Full Idea: I can but put the evidence before me, and let it act on my mind.
     From: Frank P. Ramsey (The Foundations of Mathematics [1925], p.202), quoted by Michael Potter - The Rise of Analytic Philosophy 1879-1930 70 'Deg'
     A reaction: Potter calls this observation 'downbeat', but I am an enthusiastic fan. It is roughly my view of both concept formation and of knowledge. You soak up the world, and respond appropriately. The trick is in the selection of evidence to confront.
13. Knowledge Criteria / B. Internal Justification / 2. Pragmatic justification
If knowledge is merely justified belief, justification is social [Rorty]
     Full Idea: If we have a Deweyan conception of knowledge, as what we are justified in believing, we will see "justification" as a social phenomenon.
     From: Richard Rorty (Philosophy and the Mirror of Nature [1980], Intro)
     A reaction: I find this observation highly illuminating (though I probably need to study Dewey to understand it). There just is no absolute about whether someone is justified. How justified do you want to be?
13. Knowledge Criteria / C. External Justification / 3. Reliabilism / a. Reliable knowledge
A belief is knowledge if it is true, certain and obtained by a reliable process [Ramsey]
     Full Idea: I have always said that a belief was knowledge if it was 1) true, ii) certain, iii) obtained by a reliable process.
     From: Frank P. Ramsey (The Foundations of Mathematics [1925], p.258), quoted by Michael Potter - The Rise of Analytic Philosophy 1879-1930 66 'Rel'
     A reaction: Not sure why it has to be 'certain' as well as 'true'. It seems that 'true' is objective, and 'certain' subjective. I think I know lots of things of which I am not fully certain. Reliabilism long preceded Alvin Goldman.
13. Knowledge Criteria / C. External Justification / 8. Social Justification
Knowing has no definable essence, but is a social right, found in the context of conversations [Rorty]
     Full Idea: If we see knowing not as having an essence, described by scientists or philosophers, but rather as a right, by current standards, to believe, then we see conversation as the ultimate context within which knowledge is to be understood.
     From: Richard Rorty (Philosophy and the Mirror of Nature [1980], Ch.5), quoted by Robert Fogelin - Walking the Tightrope of Reason Ch.5
     A reaction: This teeters towards ridiculous relativism (e.g. what if the conversation is among a group of fools? - Ah, there are no fools! Politically incorrect!). However, knowledge can be social, provided we are healthily elitist. Scientists know more than us.
13. Knowledge Criteria / D. Scepticism / 6. Scepticism Critique
You can't debate about whether to have higher standards for the application of words [Rorty]
     Full Idea: The decision about whether to have higher than usual standards for the application of words like "true" or "good" or "red" is, as far as I can see, not a debatable issue.
     From: Richard Rorty (Philosophy and the Mirror of Nature [1980], 6.6)
15. Nature of Minds / A. Nature of Mind / 1. Mind / a. Mind
The mind is a property, or it is baffling [Rorty]
     Full Idea: All that is needed for the mind-body problem to be unintelligible is for us to be nominalist, to refuse firmly to hypostasize individual properties.
     From: Richard Rorty (Philosophy and the Mirror of Nature [1980], 1.3)
     A reaction: Edelman says the mind is a process rather than a property. It might vanish if the clockspeed was turned right down? Nominalism here sounds like behaviourism or instrumentalism. Would Dennett plead guilty?
15. Nature of Minds / A. Nature of Mind / 1. Mind / c. Features of mind
Pain lacks intentionality; beliefs lack qualia [Rorty]
     Full Idea: We can't define the mental as intentional because pains aren't about anything, and we can't define it as phenomenal because beliefs don't feel like anything.
     From: Richard Rorty (Philosophy and the Mirror of Nature [1980], 1.2)
     A reaction: Nice, but simplistic? There is usually an intentional object for a pain, and the concepts which we use to build beliefs contain the residue of remembered qualia. It seems unlikely that any mind could have one without the other (even a computer).
15. Nature of Minds / B. Features of Minds / 4. Intentionality / b. Intentionality theories
Is intentionality a special sort of function? [Rorty]
     Full Idea: Following Wittgenstein, we shall treat the intentional as merely a subspecies of the functional.
     From: Richard Rorty (Philosophy and the Mirror of Nature [1980], 1.3)
     A reaction: Intriguing but obscure. Sounds wrong to me. The intentional refers to the content of thoughts, but function concerns their role. They have roles because they have content, so they can't be the same.
19. Language / A. Nature of Meaning / 1. Meaning
Nature has no preferred way of being represented [Rorty]
     Full Idea: Nature has no preferred way of being represented.
     From: Richard Rorty (Philosophy and the Mirror of Nature [1980], 6.5)
     A reaction: Tree rings accidentally represent the passing of the years. If God went back and started again would she or he opt for a 'preferred way'?
19. Language / A. Nature of Meaning / 7. Meaning Holism / b. Language holism
Can meanings remain the same when beliefs change? [Rorty]
     Full Idea: For cooler heads there must be some middle view between "meanings remain and beliefs change" and "meanings change whenever beliefs do".
     From: Richard Rorty (Philosophy and the Mirror of Nature [1980], 6.2)
     A reaction: The second one seems blatanty false. How could we otherwise explain a change in belief? But obviously some changes in belief (e.g. about electrons) produce a change in meaning.
19. Language / B. Reference / 1. Reference theories
A theory of reference seems needed to pick out objects without ghostly inner states [Rorty]
     Full Idea: The need to pick out objects without the help of definitions, essences, and meanings of terms produced, philosophers thought, a need for a "theory of reference".
     From: Richard Rorty (Philosophy and the Mirror of Nature [1980], 6.3)
     A reaction: Frege's was very perceptive in noting that meaning and reference are not the same. Whether we need a 'theory' of reference is unclear. It is worth describing how it occurs.
19. Language / C. Assigning Meanings / 6. Truth-Conditions Semantics
Davidson's theory of meaning focuses not on terms, but on relations between sentences [Rorty]
     Full Idea: A theory of meaning, for Davidson, is not an assemblage of "analyses" of the meanings of individual terms, but rather an understanding of the inferential relations between sentences.
     From: Richard Rorty (Philosophy and the Mirror of Nature [1980], 6.1)
     A reaction: Put that way, the influence of Frege on Davidson is obvious. Purely algebraic expressions can have inferential relations, using variables and formal 'sentences'.
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]
     Full Idea: The six perfections are of giving, morality, patience, vigour, meditation, and wisdom.
     From: Nagarjuna (Mahaprajnaparamitashastra [c.120], 88)
     A reaction: What is 'morality', if giving is not part of it? I like patience and vigour being two of the virtues, which immediately implies an Aristotelian mean (which is always what is 'appropriate').
24. Political Theory / A. Basis of a State / 1. A People / a. Human distinctiveness
Since Hegel we have tended to see a human as merely animal if it is outside a society [Rorty]
     Full Idea: Only since Hegel have philosophers begun toying with the idea that the individual apart from his society is just one more animal.
     From: Richard Rorty (Philosophy and the Mirror of Nature [1980], 4.3)