This is a topic not unknown to traditional science. I would suggest some reading.
@book{Ellis:1966a,
author = {Ellis, B.},
publisher = {Cambridge University Press},
title = {Basic Concepts in Measurement},
year = {1966}}
@book{Bridgman:1931a,
author = {Bridgman, P. W.},
edition = {Revised},
publisher = {Yale University Press},
title = {Dimensional Analysis},
year = {1931}}
A silly answer is everything you can talk or write about can be quantified, demonstration by modern computer file systems. Every file is effectively represented as a natural number.
When the algebraic properties of numbers are included, the question becomes much more debatable. For example, the hardness of materials. The Mohs scale exists, https://en.wikipedia.org/wiki/Mohs_scale, but the numbers assigned are merely used to represent a "scratchability" relationship, so they are not scalar as a naive interpretation would suggest.
This is a topic not unknown to traditional science. I would suggest some reading.
@book{Ellis:1966a,
author = {Ellis, B.},
publisher = {Cambridge University Press},
title = {Basic Concepts in Measurement},
year = {1966}}
@book{Bridgman:1931a,
author = {Bridgman, P. W.},
edition = {Revised},
publisher = {Yale University Press},
title = {Dimensional Analysis},
year = {1931}}
A silly answer is everything you can talk or write about can be quantified, demonstration by modern computer file systems. Every file is effectively represented as a natural number.
When the algebraic properties of numbers are included, the question becomes much more debatable. For example, the hardness of materials. The Mohs scale exists, https://en.wikipedia.org/wiki/Mohs_scale, but the numbers assigned are merely used to represent a "scratchability" relationship, so they are not scalar as a naive interpretation would suggest.