Combining Texts

All the ideas for 'fragments/reports', 'The Facts of Causation' and 'Structuralism'

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7 ideas

3. Truth / B. Truthmakers / 5. What Makes Truths / a. What makes truths
We might use 'facta' to refer to the truth-makers for facts [Mellor, by Schaffer,J]
     Full Idea: Mellor offers a distinction between 'facts' and 'facta' (the latter being the truth-makers for facts).
     From: report of D.H. Mellor (The Facts of Causation [1995]) by Jonathan Schaffer - The Metaphysics of Causation 1.1
     A reaction: The idea is that 'facta' can do the work in causation, because 'facts' are not part of the world. This seems a very helpful terminology, which should be encouraged, since 'fact' is plainly ambiguous in current usage.
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Structuralism is now common, studying relations, with no regard for what the objects might be [Hellman]
     Full Idea: With developments in modern mathematics, structuralist ideas have become commonplace. We study 'abstract structures', having relations without regard to the objects. As Hilbert famously said, items of furniture would do.
     From: Geoffrey Hellman (Structuralism [2007], §1)
     A reaction: Hilbert is known as a Formalist, which suggests that modern Structuralism is a refined and more naturalist version of the rather austere formalist view. Presumably the sofa can't stand for six, so a structural definition of numbers is needed.
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
Maybe mathematical objects only have structural roles, and no intrinsic nature [Hellman]
     Full Idea: There is the tantalizing possibility that perhaps mathematical objects 'have no nature' at all, beyond their 'structural role'.
     From: Geoffrey Hellman (Structuralism [2007], §1)
     A reaction: This would fit with a number being a function rather than an object. We are interested in what cars do, not the bolts that hold them together? But the ontology of mathematics is quite separate from how you do mathematics.
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
26. Natural Theory / C. Causation / 8. Particular Causation / b. Causal relata
Causal statements relate facts (which are whatever true propositions express) [Mellor, by Psillos]
     Full Idea: Mellor argues that causal statements relate facts, where facts may be seen as whatever true propositions express.
     From: report of D.H. Mellor (The Facts of Causation [1995]) by Stathis Psillos - Causation and Explanation §2.6
     A reaction: Choose between 'facts', 'objects', 'conserved quantities, 'events' (the usual one) or 'processes'. I rather like processes (Salmon) as they are a better prospect as the building blocks of an ontology.
26. Natural Theory / C. Causation / 8. Particular Causation / e. Probabilistic causation
Probabilistic causation says C is a cause of E if it increases the chances of E occurring [Mellor, by Tooley]
     Full Idea: The basic idea of probabilistic causation is that a sufficient condition of C's being a cause of E is that C and E are actual, individual events, and the objective chance of E's occurring is greater given the occurrence of C than it would be without C.
     From: report of D.H. Mellor (The Facts of Causation [1995]) by Michael Tooley - Causation and Supervenience 5.3
     A reaction: Mellor has to include objective 'chances' in his ontology to support his theory. As it stands this looks like a weak theory, since the event might not occur despite C happening, and some less likely event might turn out to be the actual cause.
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.