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when it comes to the relationship between #maths and #physics the map is also the terrain the trick would be to work out which bits are map and which bits are unconstrained play
the entirety of physics relies on quantitative relationships being fundamental laws of nature this shouldn't be a surprise because human understanding of quantitative relationships is based on observation of the physical world #numbertheory #maths #physics
a rigorous counting system is *by definition* physics #numbertheory #maths #physics
#numbertheory #maths #physics https://t.co/sRgagh5hg0
** STEPHEN HAWKING WAS RIGHT ** Using a very strong black-hole merger signal, the @LIGO-@ego_virgo-@KAGRA_PR Collaboration has shown the 2nd law of black hole mechanics, Hawking's area law (A_final > A_initial), to hold with high credibility. PRL: go.aps.org/3VarXHA #open
what i love is how 1🍎 + 3🍎 = 4🍎 1🍊 + 3🍊 = 4🍊 1🚜 + 3🚜 = 4🚜 1x + 3x = 4x ...but quantitative (ie numerical) relationships *definitely* aren't physical laws 😂 no really deffo not no way not at allllllll
what i love is how 1🍎 + 3🍎 = 4🍎 1🍊 + 3🍊 = 4🍊 1🚜 + 3🚜 = 4🚜 1x + 3x = 4x ...but quantitative (ie numerical) relationships *definitely* aren't physical laws 😂 no really deffo not no way not at allllllll
Geometric and physical interpretation of the action principle nature.com/articles/s4159…
although ofc all numbers are fundamental constants 😉
although ofc all numbers are fundamental constants 😉
QUOTE OF THE DAY
What kind of objects does mathematics investigate, and in what sense do these objects exist? Why are we justified in considering mathematical statements as part of our knowledge, and how can they be validated?
In practice nature can't distinguish a continuous function from an infinitely differentiatable function.
In practice nature can't distinguish a continuous function from an infinitely differentiatable function.
so numbers can be derived from measuring physical shapes and processes 🤔 #numbertheory #maths #physics
so numbers can be derived from measuring physical shapes and processes 🤔 #numbertheory #maths #physics
1+1=2 simple as it is fundamental #numbertheory #maths #physics
1+1=2 simple as it is fundamental #numbertheory #maths #physics
irrational numbers aren't "numbers" they are functions they aren't defined by anything other than infinite series. they are result of conceptually derived tools of infinitely expanding levels of precision of PROCESSES, not countable things that exist in stationary fashion
irrational numbers aren't "numbers" they are functions they aren't defined by anything other than infinite series. they are result of conceptually derived tools of infinitely expanding levels of precision of PROCESSES, not countable things that exist in stationary fashion
basic rules of mathematical combination are laws of physics #numbertheory #maths #physics arxiv.org/abs/2501.18881
1+1=2 is quite literally a law of physics this is not insignificant #numbertheory #maths #physics
mathematics is physical because counting systems and combinatory rules were developed from direct observation of quantity and magnitude of physical phenomena #numbertheory #maths #physics
mathematics is physical because counting systems and combinatory rules were developed from direct observation of quantity and magnitude of physical phenomena #numbertheory #maths #physics
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