I The "problem" of Induction and conservation laws

AI Thread Summary
The discussion centers on the Problem of Induction, which posits that there is no logical necessity for nature to remain uniform, raising questions about its implications for conservation laws. While some argue that conservation laws can be proven deductively through Noether’s theorem, this does not guarantee that the underlying symmetries are universal. The Problem of Induction is acknowledged as a significant philosophical issue, but the focus remains on the practical application of scientific methods that rely on the assumption of induction. The thread ultimately emphasizes the importance of discussing scientific practice rather than delving into philosophical debates. The conversation concludes with a reminder that such philosophical discussions are outside the forum's intended scope.
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Induction and conservation laws
If we by induction in the scientific method mean:

"that the future will resemble the past" and The Problem of Induction states:

"There is no logical necessity forcing nature to remain uniform"

does The Problem of Induction implies violation of (global) conservation laws?
 
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TCO said:
"that the future will resemble the past"
"There is no logical necessity forcing nature to remain uniform"
Can you cite credible references that state these definitions of "induction in the scientific method" and "the problem of induction"? Thanks.
 
TCO said:
does The Problem of Induction implies violation of (global) conservation laws?
Not necessarily, as many conservation laws can be proven deductively - this is Noether’s theorem. But this just pushes the problem down one level; there’s no deductive argument that the symmetries underlying a conservation law must be universal.

The PoI is an interesting and important philosophical problem but it is out of scope for PF. We’re here to discuss how science is generally practiced, and “proceed on the assumption that induction generally works” is an essential part of that practice.

This thread is closed under the forum rule about not hosting philosophy discussions.
 
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