Combining Philosophers

All the ideas for Mulligan/Simons/Smith, Agrippa and Antoine Arnauld

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13 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
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
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
3. Truth / B. Truthmakers / 2. Truthmaker Relation
Part-whole is the key relation among truth-makers [Mulligan/Simons/Smith]
     Full Idea: The most important (ontological) relations holding among truth-makers are the part and whole relations.
     From: Mulligan/Simons/Smith (Truth-makers [1984], §6)
     A reaction: Hence Peter Simons goes off and writes the best known book on mereology. Looks very promising to me.
3. Truth / B. Truthmakers / 5. What Makes Truths / a. What makes truths
Moments (objects which cannot exist alone) may serve as truth-makers [Mulligan/Simons/Smith]
     Full Idea: A 'moment' is an existentially dependent or non-self-sufficient object, that is, an object which is of such a nature that it cannot exist alone, ....... and we suggest that moments could serve as truth-makers.
     From: Mulligan/Simons/Smith (Truth-makers [1984], §2)
     A reaction: [These three writers invented the term 'truth-maker']
The truth-maker for a sentence may not be unique, or may be a combination, or several separate items [Mulligan/Simons/Smith]
     Full Idea: A proposition may have a minimal truth-maker which is not unique, or a sentence may be made true by no single truth-maker but only by several jointly, or again only by several separately.
     From: Mulligan/Simons/Smith (Truth-makers [1984], §3)
Truth-makers cannot be the designata of the sentences they make true [Mulligan/Simons/Smith]
     Full Idea: Truth-makers cannot be the designata of the sentences they make true, because sentences with more than one truth-maker would then be ambiguous, and 'a' and 'a exists' would have the same designatum.
     From: Mulligan/Simons/Smith (Truth-makers [1984], §3)
Despite negative propositions, truthmakers are not logical complexes, but ordinary experiences [Mulligan/Simons/Smith]
     Full Idea: Because of negative propositions, investigators of truth-makers have said that they are special non-objectual entities with a logical complexity, but we think a theory is possible in which the truth relation is tied to ordinary and scientific experience.
     From: Mulligan/Simons/Smith (Truth-makers [1984], §6)
3. Truth / C. Correspondence Truth / 3. Correspondence Truth critique
Correspondence has to invoke facts or states of affairs, just to serve as truth-makers [Mulligan/Simons/Smith]
     Full Idea: The correspondence theory of truth invokes a special category of non-objectual entities - facts, states of affairs, or whatever - simply to serve as truth-makers.
     From: Mulligan/Simons/Smith (Truth-makers [1984], §3)
4. Formal Logic / D. Modal Logic ML / 7. Barcan Formula
No one can conceive of a possible substance, apart from those which God has created [Arnauld]
     Full Idea: I am much mistaken if there is anyone who dares to say that he can conceive of a purely possible substance, …for although one talks so much of them, one never conceives them except according to the notion of those which God has created.
     From: Antoine Arnauld (Letters to Leibniz [1686], 1686.05.13), quoted by David Wiggins - Sameness and Substance 4.2
     A reaction: This idea cashes out in the 'necessitism' of Tim Williamson, and views on the Barcan formulae in modal logic.
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