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Single Idea 14604

[filed under theme 6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics ]

Full Idea

Science represents our best systematic understanding of the world, and if a certain notion proves unneeded in our best attempt at that, this provides strong evidence that what this notion concerns is not ontologically basic.

Gist of Idea

If a notion is ontologically basic, it should be needed in our best attempt at science

Source

Jonathan Schaffer (Causation and Laws of Nature [2008], 3.2)

Book Ref

'Contemporary Debates in Metaphysics', ed/tr. Sider/Hawthorne/Zimmerman [Blackwell 2008], p.92


A Reaction

But is the objective of science to find out what is 'ontologically basic'? If scientists can't get a purchase on a question, they have no interest in it. What are electrons made of?


The 54 ideas from Jonathan Schaffer

Three types of reduction: Theoretical (of terms), Definitional (of concepts), Ontological (of reality) [Schaffer,J]
Analysis aims at secure necessary and sufficient conditions [Schaffer,J]
Individuation aims to count entities, by saying when there is one [Schaffer,J]
'Reification' occurs if we mistake a concept for a thing [Schaffer,J]
If a notion is ontologically basic, it should be needed in our best attempt at science [Schaffer,J]
Tropes are the same as events [Schaffer,J]
Only ideal conceivability could indicate what is possible [Schaffer,J]
T adds □p→p for reflexivity, and is ideal for modeling lawhood [Schaffer,J]
Identities can be true despite indeterminate reference, if true under all interpretations [Schaffer,J]
No sortal could ever exactly pin down which set of particles count as this 'cup' [Schaffer,J]
As causation links across time, grounding links the world across levels [Schaffer,J]
If ground is transitive and irreflexive, it has a strict partial ordering, giving structure [Schaffer,J]
I take what is fundamental to be the whole spatiotemporal manifold and its fields [Schaffer,J]
Nowadays causation is usually understood in terms of equations and variable ranges [Schaffer,J]
Explaining 'Adam ate the apple' depends on emphasis, and thus implies a contrast [Schaffer,J]
In causation there are three problems of relata, and three metaphysical problems [Schaffer,J]
Events are fairly course-grained (just saying 'hello'), unlike facts (like saying 'hello' loudly) [Schaffer,J]
Causal relata are events - or facts, features, tropes, states, situations or aspects [Schaffer,J]
One may defend three or four causal relata, as in 'c causes e rather than e*' [Schaffer,J]
Causation transcends nature, because absences can cause things [Schaffer,J]
There is only one fact - the True [Schaffer,J]
Causation may not be transitive; the last event may follow from the first, but not be caused by it [Schaffer,J]
If causal relata must be in nature and fine-grained, neither facts nor events will do [Schaffer,J]
At least four rivals have challenged the view that causal direction is time direction [Schaffer,J]
There are at least ten theories about causal connections [Schaffer,J]
Logical form can't dictate metaphysics, as it may propose an undesirable property [Schaffer,J]
The actual cause may make an event less likely than a possible more effective cause [Schaffer,J]
Causation may not be a process, if a crucial part of the process is 'disconnected' [Schaffer,J]
A causal process needs to be connected to the effect in the right way [Schaffer,J]
Causation can't be a process, because a process needs causation as a primitive [Schaffer,J]
All four probability versions of causation may need causation to be primitive [Schaffer,J]
The relata of causation (such as events) need properties as explanation, which need causation! [Schaffer,J]
Causation is primitive; it is too intractable and central to be reduced; all explanations require it [Schaffer,J]
If causation is just observables, or part of common sense, or vacuous, it can't be primitive [Schaffer,J]
The notion of causation allows understanding of science, without appearing in equations [Schaffer,J]
Causation is utterly essential for numerous philosophical explanations [Schaffer,J]
If two different causes are possible in one set of circumstances, causation is primitive [Schaffer,J]
If causation is primitive, it can be experienced in ourselves, or inferred as best explanation [Schaffer,J]
Causal order must be temporal, or else causes could be blocked, and time couldn't be explained [Schaffer,J]
Causal order is not temporal, because of time travel, and simultanous, joint or backward causes [Schaffer,J]
Our selection of 'the' cause is very predictable, so must have a basis [Schaffer,J]
Selecting 'the' cause must have a basis; there is no causation without such a selection [Schaffer,J]
Modern Quinean metaphysics is about what exists, but Aristotelian metaphysics asks about grounding [Schaffer,J]
Maybe categories are just the different ways that things depend on basic substances [Schaffer,J]
We should not multiply basic entities, but we can have as many derivative entities as we like [Schaffer,J]
If 'there are red roses' implies 'there are roses', then 'there are prime numbers' implies 'there are numbers' [Schaffer,J]
The cosmos is the only fundamental entity, from which all else exists by abstraction [Schaffer,J]
'Moorean certainties' are more credible than any sceptical argument [Schaffer,J]
There exist heaps with no integral unity, so we should accept arbitrary composites in the same way [Schaffer,J]
Supervenience is just modal correlation [Schaffer,J]
Grounding is unanalysable and primitive, and is the basic structuring concept in metaphysics [Schaffer,J]
If you tore the metaphysics out of philosophy, the whole enterprise would collapse [Schaffer,J]
Belief in impossible worlds may require dialetheism [Schaffer,J]
The notion of 'grounding' can explain integrated wholes in a way that mere aggregates can't [Schaffer,J]