Unfortunately for me I have diabetic retinopathay, my eyesight is poor. Glasses and large text helps, I don't always catch the underline for the spell checker.
Do you have some adaptive equipment you use to do your engineering work? I'm wondering how you can be an engineer with such poor writing skills.
Math arose out of practical necessity. Counting.
I've studied the history of mathematics, and according to what I've read, the earliest math involved time reckoning, in particular the calendar.
If I put 2 potatoes and two onions in a pile how many total objects are there? Can there not be 4 objects?
Yes, that's what we're taught to call that quantity. However, depending on the "objects" being summed, the result can be something other than 4. For example, if you add 2 clouds to 2 clouds, how many clouds do you have? You could have only one cloud! Or 2 or 3 or any number of clouds. So nature cares little for our inventions, and math like any invention does not always "work" the way we intend.
You are conflating some kind of philosophizing with objective math.
There is no "objective math," and it's very suspicious that any engineer would think so. The mathematics I've been citing on this thread, which you appear to be completely ignorant of, is known as modular arithmetic. As a reference, I'm using
Linear Algebra: A Modern Introduction 3rd Edition by David Poole, pages 13-14. So the math I'm using is math that is standard and commonly accepted by mathematicians.
My point on Boolean Algebra is that logic and objective mathematical truth is not just the purview of math and philosophy, it is everywhere. Global commence and the jet you fly on depend on math to be absolutely true.
What you're saying here is a non sequitur. It doesn't follow that if math can be used to model things in the real world, then math must be absolutely true. Commerce and airplanes don't rely on what is absolutely true but rely on what is
true enough.
A philosophical thought experiment.
You go into a store and pick up 3 objects to buy. You go to the checkout and yio are charged for 4 objects. You protest and the cashier says '1 plus 1 plus 1 is not always 3, sometimes it is 4".
Would yiu apy for 4 objects?
No, I wouldn't pay for what I didn't intend to buy. Stores as far as I know don't use modal arithmetic to charge for items, so 3 items are not 4 items.
But let's go with your analogy, and say you're looking for gala apples in that store. You see none on the shelves, and you ask when the gala apples will be in stock. The clerk apologizes and explains that the gala apples won't be in stock for another two hours. You look at the time and see that it's 11 o'clock Do you conclude that the apples will be in stock at 13 o'clock?
Hint: Use modal arithmetic!