The metric structure of the world cannot be a rigid, fixe... — Carmelics

History Edit See Inverse

The metric structure of the world cannot be a rigid, fixed geometrical structure, but must itself be something real that both exerts effects on matter and is affected by matter.

Causation Truth & Knowledge

?Rate how convincing each reason is below to see the overall strength.

1 reason for

2 reasons against

Reasons For

1 perspective

Reason for

?

1.Whatever exerts effects as powerful and real as the metric structure of the world exerts must itself be something real, not merely a fixed abstract structure.
?
Think about whether this reason is strong or weak
2.The metric structure of the world exerts powerful and real effects.
?
Think about whether this reason is strong or weak

Reasons Against

2 perspectives

Reason against 1 of 2

?

1.Abstract mathematical structures can be causally efficacious without being ontologically 'real' in the sense of being physical fields or substances.
?
Think about whether this reason is strong or weak
2.The logical and geometric relations of spacetime can constrain physical possibility without themselves being affected by matter, as Hartry Field's nominalist program demonstrates.
?
Think about whether this reason is strong or weak
3.Weyl conflates the representational indispensability of metric structure with its ontological dynamism, a move Quine's criterion of ontological commitment does not license.
?
Think about whether this reason is strong or weak

Reason against 2 of 2

?

Sign in or register to share your perspective on this statement.

Next step

Based on where you are in your exploration

Strongest counterpoint

Explore the most compelling reason on the other side.