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All the ideas for 'Truth-makers', 'fragments/reports' and 'Presidential Address of Am. Math. Soc'

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9 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
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)
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)
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)
5. Theory of Logic / A. Overview of Logic / 2. History of Logic
We have no adequate logic at the moment, so mathematicians must create one [Veblen]
     Full Idea: Formal logic has to be taken over by mathematicians. The fact is that there does not exist an adequate logic at the present time, and unless the mathematicians create one, no one else is likely to do so.
     From: Oswald Veblen (Presidential Address of Am. Math. Soc [1924], 141), quoted by Stewart Shapiro - Philosophy of Mathematics
     A reaction: This remark was made well after Frege, but before the advent of Gödel and Tarski. That implies that he was really thinking of meta-logic.
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]
     Full Idea: Archelaus was the first person to say that the universe is boundless.
     From: report of Archelaus (fragments/reports [c.450 BCE]) by Diogenes Laertius - Lives of Eminent Philosophers 02.Ar.3
27. Natural Reality / G. Biology / 3. Evolution
Archelaus said life began in a primeval slime [Archelaus, by Schofield]
     Full Idea: Archelaus wrote that life on Earth began in a primeval slime.
     From: report of Archelaus (fragments/reports [c.450 BCE]) by Malcolm Schofield - Archelaus
     A reaction: This sounds like a fairly clearcut assertion of the production of life by evolution. Darwin's contribution was to propose the mechanism for achieving it. We should honour the name of Archelaus for this idea.