Is Inconsistency an Inherent Variable in Mathematics and Physics?

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Discussion Overview

The discussion revolves around the concept of inconsistency as a potential inherent variable in mathematics and physics. Participants explore the implications of allowing for variability and inconsistency in scientific measurements and principles, particularly in relation to the nature of physical constants and standards.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant suggests that the search for constancy in nature may be misguided, proposing that inconsistency could be an inherent variable that should be acknowledged in mathematics and physics.
  • Another participant counters that physics already accounts for variability through the use of standard conditions, such as defining the weight of water under specific gravitational and temperature conditions.
  • A further point is made regarding the use of significant digits in measurements, indicating that stated values include an inherent uncertainty, which reflects variability.
  • A participant acknowledges a personal realization about their tendency to view physics in absolute terms, suggesting a need for better communication regarding the nature of scientific discussions.

Areas of Agreement / Disagreement

Participants express differing views on the role of inconsistency in scientific measurements. While some argue for the acknowledgment of variability, others maintain that established standards adequately address these concerns. The discussion remains unresolved with multiple competing perspectives.

Contextual Notes

Participants highlight the limitations of absolute measurements and the dependence on defined standards, but do not resolve the implications of allowing inconsistency as a variable.

scott_sieger
The search for constancy

Indeed human nature requires us to search for consistency and constancy.

However in mother nature as with human nature we see little constancy and even less of consistency.

Is it possible that we are trying to prove constancy where in fact there is none?

If I knew mathematics and physics as intimately as you guys, my first action would be to allow inconsistency to exist as an inherent variable.

Does this already exist in mathematics?

For example

One litre of water weighs how much?

The answer depends on so many variables, from local gravity to ambient temperature, minerals in the water, even the moon’s position would have an effect, etc etc.

So to say that a litre of water weighs “X” amount without allowing for unknown variables would be a mistake.

I feel this approach needs to be applied especially to the study of the very small where variations in constancy would have the greatest effect.

How do you guys feel about this?
 
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Whenever we talk about any property that can vary with local conditions, The practice is to use "standard" conditions.

For instance, 1 liter of water weighs 9.81274 Newtons at one standardg.

Water boils at 100°c at standard at 1 standard atmosphere.

Hydrogen gas has a listed density at standard temp and pressure (STP)

Etc.

So physics already has this well in hand.
 
In addition to standards we also use significant digits. So if we say something weighs (for example) 1.00 Newtons, that does not mean it is exactly 1 Newton, it means its 1 Newton plus or minus .01 Newtons.
 
hey Russ and others thanks.

I have realized my mistake in my approach to discussions.

I tend to always refer to physics in absolute terms.

it is exact or it aint sort of thing. My studies require this of me but this is no excuse for a failure to communicate properly.

thanks again
 

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