Combining Philosophers

All the ideas for Archimedes, Mulligan/Simons/Smith and Hesiod

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8 ideas

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)
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz]
     Full Idea: Archimedes gave a sort of definition of 'straight line' when he said it is the shortest line between two points.
     From: report of Archimedes (fragments/reports [c.240 BCE]) by Gottfried Leibniz - New Essays on Human Understanding 4.13
     A reaction: Commentators observe that this reduces the purity of the original Euclidean axioms, because it involves distance and measurement, which are absent from the purest geometry.
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
Unlike us, the early Greeks thought envy was a good thing, and hope a bad thing [Hesiod, by Nietzsche]
     Full Idea: Hesiod reckons envy among the effects of the good and benevolent Eris, and there was nothing offensive in according envy to the gods. ...Likewise the Greeks were different from us in their evaluation of hope: one felt it to be blind and malicious.
     From: report of Hesiod (works [c.700 BCE]) by Friedrich Nietzsche - Dawn (Daybreak) 038
     A reaction: Presumably this would be understandable envy, and unreasonable hope. Ridiculous envy can't possibly be good, and modest and sensible hope can't possibly be bad. I suspect he wants to exaggerate the relativism.