‘Individual’: from the Latin, In-dividuus: that which is ‘Indivisible-Further’, as in a-tomous, for ‘atom’.
Any wedge of cheese that I can cut once, I can cut twice. Or thrice. In fact I can cut it as fine as I want. I just need sharper and stronger knives.
I can if I am in the mood, cut it a trillion times. Then anther trillion. And just keep going. But I warn you that this can get tedious, even exhausting.
And what I am cutting no longer tastes like cheese. So where should I stop?
Make sure to do all this in broad daylight. And do not nick the Higgs-boson, a.k.a. the ‘God-Particle’, else the scientists at CERN will get very upset.
For example, a ‘Point’ is a beginning unit of measure. It is the place where we decided to stop cutting and mark the location with a name [‘Here Ye! Henceforth this shall be called a ‘Point’].
A Line is defined as a ‘Series of Points’ [what Euclid called a ‘breadthless length’]. We are not sure what a ‘Point’ is; it is formally undefined. But a ‘Line’ is something your little girl understands. No limit of abstraction business here. And away we go with crayon and color.
What applies for cheese, applies for carrots and broccoli. At some point they get tossed into the salad.
The Atom in Physics, the Element in Chemistry, the Axiom in Logic, the Point in Mathematics, the Word in Language, the Morpheme in Linguistics..
‘Individual’: Do you remember where you stopped before climbing into your salad?