See it’s stuff like this that annoys me so much about the education level of this forum.
Discrete in science is the opposite of continuous: something that is separate; distinct; individual.
I mean, I use basic technical terminology and everyone is like HUHH?? WUUUT? like I’m some kind of alien for knowing how to use the correct words correctly.
My bad, I misread you specifying “one”.
Also, I’m sure you meant how John is defining infinity, but you’ve entered the fray arguing your definition of the word infinity - forgive me for inducing that you did this to assist with this definition of infinity, since you judge one of his arguments to unavoidably and precisely rest upon?
@John, if you’re reading - kindly “define infinity” for us as precisely and exhaustively as you can, if you please?
Oh did I? Are you sure? Are you sure it wasn’t you who got it completely wrong again?
Continuous i.e. “without break” means there’s no division - especially not infinite division into infinitesimals…
Again - how do you manage to be so completely backwards? I don’t get it. It’d be okay if you were aware of any potential shortcomings and if you came here so that you could learn, but you’re so goddamn sure of yourself on top of being so completely wrong that it’s insufferable.
I repeat, continuous does NOT mean comprised of infinitesimals - it means without break. No division, especially not infinite divisions. An infinitude of discrete units is exactly how the real number line is broken down. In this case you can subdivide infinitely into smaller and smaller discrete quantities, but continuity is one-ness.
And where are the gaps of nothingness between real things? It’s a continuous experience. You can artificially break it up into discrete parts to mentally model it - that’s the only way to do such a thing, but in doing so you compromise on its fundamental continuity. Even experiencing the smallest perceivable particles is a continuous experience. Beyond that it’s all mental conceptions, all the way into the quantum realm - and even there we speak of continuous wave functions that describe probability distributions.
Mathematics is not “continuous” - there is an entire branch of mathematics called “discrete mathematics”, and I contend that even with respect to the continuity of things like the real number line, one performs operations on operands that are extracted as precise discrete values. One even models continuous progressions e.g. like curves as a discrete function through differentiation. You approach this via infinitesimals, but this does not mean the final result is infinitesimal. What you approach is continuous one-ness.