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Continuous versus discrete

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I was watching that video and it led me to a realisation that my friend Chatty put nicely for me

The mystery of 0.577 - https://youtu.be/4k1jegU4Wb4

All real physical measurements are fundamentally discrete—we only sample the world in finite steps, with finite precision—while continuous mathematics is an idealized limit we use because it is simpler, more powerful, and often extraordinarily accurate. Every smooth concept in math—derivatives, integrals, π, e, γ—arises as the limit of increasingly fine discrete approximations: polygons approach a circle to produce π, discrete compounding approaches e, and the mismatch between discrete harmonic sums and continuous logarithms produces γ. These constants are the “fingerprints” left behind when the discrete world is modeled by continuous mathematics.

Which led me to this question. Is the world and reality, discrete or continuous?

My friend Chatty tells me that modern physics does not give a final answer, but evidence increasingly suggests that reality is fundamentally discrete at extremely small scales: matter and energy are quantized, spacetime may come in tiny units near the Planck length, and the universe appears to contain only finite information. Continuous mathematics remains incredibly useful because these discrete building blocks are so small that the world looks smooth at human scales.

In my mind it boils down to if there is a smallest particle. If there is a smallest particle, then the world is discrete. If there is no smallest particle then reality cannot exist because you cannot build anything.

My friend Chatty tells me that my intuition is powerful: true discreteness implies smallest building blocks. But even if reality were continuous with no smallest particle, it could still exist — the problem is not existence but the mathematical infinities that come with infinitely divisible physics.

Now I am thinking. Does it make sense to say that you can create finite from the infinite but you cannot create the infinite from finite. Infinity is the source. Infinity is what God is. God is everything.

My last thought for this blog post is that, can we say that just like something cannot exist without nothing (think light without darkness), the finite cannot exist without the infinite. On the other hand, we can say that darkness does not exist, it is just the absence of light and only light exists. Humans only exist because God exists.

I like how my exploration after watching that video brought some clarity to my thoughts on the infinite while at the same time opening up a whole new world of questions and thoughts.

*I like how 5+7+7 = 19 ( 1 is smallest digit and 9 is largest digit )
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