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All the ideas for 'Mahaprajnaparamitashastra', 'fragments/reports' and 'Inexpressible Properties and Propositions'

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11 ideas

2. Reason / A. Nature of Reason / 9. Limits of Reason
All reasoning endlessly leads to further reasoning (Mode 12) [Agrippa, by Diog. Laertius]
     Full Idea: Twelfth mode: all reasoning leads on to further reasoning, and this process goes on forever.
     From: report of Agrippa (fragments/reports [c.60]) by Diogenes Laertius - Lives of Eminent Philosophers 09.Py.10
Proofs often presuppose the thing to be proved (Mode 15) [Agrippa, by Diog. Laertius]
     Full Idea: Fifteenth mode: proofs often presuppose the thing to be proved.
     From: report of Agrippa (fragments/reports [c.60]) by Diogenes Laertius - Lives of Eminent Philosophers 09.Py.10
Reasoning needs arbitrary faith in preliminary hypotheses (Mode 14) [Agrippa, by Diog. Laertius]
     Full Idea: Fourteenth mode: reasoning requires arbitrary faith in preliminary hypotheses.
     From: report of Agrippa (fragments/reports [c.60]) by Diogenes Laertius - Lives of Eminent Philosophers 09.Py.10
All discussion is full of uncertainty and contradiction (Mode 11) [Agrippa, by Diog. Laertius]
     Full Idea: Eleventh mode: all topics of discussion are full of uncertainty and contradiction.
     From: report of Agrippa (fragments/reports [c.60]) by Diogenes Laertius - Lives of Eminent Philosophers 09.Py.10
3. Truth / H. Deflationary Truth / 3. Minimalist Truth
Instances of minimal truth miss out propositions inexpressible in current English [Hofweber]
     Full Idea: A standard objection to minimalist truth is the 'incompleteness objection'. Since there are propositions inexpressible in present English the concept of truth isn't captured by all the instances of the Tarski biconditional.
     From: Thomas Hofweber (Inexpressible Properties and Propositions [2006], 5.3)
     A reaction: Sounds like a good objection.
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
Quantification can't all be substitutional; some reference is obviously to objects [Hofweber]
     Full Idea: The view that all quantification is substitutional is not very plausible in general. Some uses of quantifiers clearly seem to have the function to make a claim about a domain of objects out there, no matter how they relate to the terms in our language.
     From: Thomas Hofweber (Inexpressible Properties and Propositions [2006], 2.1)
     A reaction: Robust realists like myself are hardly going to say that quantification is just an internal language game.
8. Modes of Existence / B. Properties / 1. Nature of Properties
Since properties have properties, there can be a typed or a type-free theory of them [Hofweber]
     Full Idea: Since properties themselves can have properties there is a well-known division in the theory of properties between those who take a typed and those who take a type-free approach.
     From: Thomas Hofweber (Inexpressible Properties and Propositions [2006], 2.2)
     A reaction: A typed approach would imply restrictions on what it can be a property of. 'Green' is a property of surfaces, 'dark' is a property of colours. My first reaction is to opt for type-free.
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / a. Agrippa's trilemma
Agrippa's Trilemma: justification is infinite, or ends arbitrarily, or is circular [Agrippa, by Williams,M]
     Full Idea: Agrippa's Trilemma offers three possible outcomes for a regress of justification: the chain goes on for ever (infinite); or the chain stops at an unjustified proposition (arbitrary); or the chain eventually includes the original proposition (circular).
     From: report of Agrippa (fragments/reports [c.60], §2) by Michael Williams - Without Immediate Justification §2
     A reaction: This summarises Ideas 1911, 1913 and 1914. Agrippa's Trilemma is now a standard starting point for modern discussions of foundations. Personally I reject 2, and am torn between 1 (+ social consensus) and 3 (with a benign, coherent circle).
13. Knowledge Criteria / E. Relativism / 1. Relativism
Everything is perceived in relation to another thing (Mode 13) [Agrippa, by Diog. Laertius]
     Full Idea: Thirteenth mode: everything is always perceived in relation to something else.
     From: report of Agrippa (fragments/reports [c.60]) by Diogenes Laertius - Lives of Eminent Philosophers 09.Py.10
19. Language / F. Communication / 6. Interpreting Language / a. Translation
Holism says language can't be translated; the expressibility hypothesis says everything can [Hofweber]
     Full Idea: Holism says that nothing that can be said in one language can be said in another one. The expressibility hypothesis says that everything that can be said in one language can be said in every other one.
     From: Thomas Hofweber (Inexpressible Properties and Propositions [2006], 6.4)
     A reaction: Obviously expressibility would only refer to reasonably comprehensive languages (with basic logical connectives, for example). Personally I vote for the expressibility hypothesis, which Hofweber seems to favour.
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').