Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'Remarks on the Foundations of Mathematics' and 'The Very Idea of a Conceptual Scheme'

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7 ideas

3. Truth / B. Truthmakers / 12. Rejecting Truthmakers
Saying truths fit experience adds nothing to truth; nothing makes sentences true [Davidson]
     Full Idea: The notion of fitting the totality of experience ...adds nothing intelligible to the simple concept of being true. ....Nothing, ...no thing, makes sentences and theories true: not experience, not surface irritations, not the world.
     From: Donald Davidson (The Very Idea of a Conceptual Scheme [1974], p.11), quoted by Willard Quine - On the Very Idea of a Third Dogma p.39
     A reaction: If you don't have a concept of what normally makes a sentence true, I don't see how you go about distinguishing what is true from what is false. You can't just examine the sentence to see if it has the 'primitive' property of truth. Holism is involved....
3. Truth / H. Deflationary Truth / 1. Redundant Truth
'It is true that this follows' means simply: this follows [Wittgenstein]
     Full Idea: The proposition: "It is true that this follows from that" means simply: this follows from that.
     From: Ludwig Wittgenstein (Remarks on the Foundations of Mathematics [1938], p.38), quoted by Robert Hanna - Rationality and Logic 6
     A reaction: Presumably this remark is simply expressing Wittgenstein's later agreement with the well-known view of Ramsey. Early Wittgenstein had endorsed a correspondence view of truth.
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Two and one making three has the necessity of logical inference [Wittgenstein]
     Full Idea: "But doesn't it follow with logical necessity that you get two when you add one to one, and three when you add one to two? and isn't this inexorability the same as that of logical inference? - Yes! it is the same.
     From: Ludwig Wittgenstein (Remarks on the Foundations of Mathematics [1938], p.38), quoted by Robert Hanna - Rationality and Logic 6
     A reaction: This need not be a full commitment to logicism - only to the fact that the inferential procedures in mathematics are the same as those of logic. Mathematics could still have further non-logical ingredients. Indeed, I think it probably does.
12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique
Without the dualism of scheme and content, not much is left of empiricism [Davidson]
     Full Idea: The third dogma of empiricism is the dualism of scheme and content, of organizing system and something waiting to be organized, which cannot be made intelligible and defensible. If we give it up, it is not clear that any distinctive empiricism remains.
     From: Donald Davidson (The Very Idea of a Conceptual Scheme [1974], p.189)
     A reaction: The first two dogmas were 'analyticity' and 'reductionism', as identified by Quine in 1953. Presumably Hume's Principles of Association (Idea 2189) would be an example of a scheme. A key issue is whether there is any 'pure' content.
13. Knowledge Criteria / E. Relativism / 6. Relativism Critique
Different points of view make sense, but they must be plotted on a common background [Davidson]
     Full Idea: Different points of view make sense, but only if there is a common co-ordinate system on which to plot them.
     From: Donald Davidson (The Very Idea of a Conceptual Scheme [1974], p.184)
     A reaction: This seems right to me. I am very struck by the close similarities between people from wildly differing cultural backgrounds, as seen, for example, at the Olympic Games.
19. Language / F. Communication / 6. Interpreting Language / b. Indeterminate translation
Criteria of translation give us the identity of conceptual schemes [Davidson]
     Full Idea: Studying the criteria of translation is a way of focusing on criteria of identity for conceptual schemes.
     From: Donald Davidson (The Very Idea of a Conceptual Scheme [1974], p.184)
     A reaction: This is why it was an inspired idea of Quine's to make translation a central topic in philosophy. We must be cautious, though, about saying that the language is the conceptual scheme, as that leaves animals with no scheme at all.
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').