Neither you, nor the AI seem to understand the difference between numbers and numerals.Veritas Aequitas wrote: ↑Wed Apr 17, 2024 9:24 amHere's AI's [wR] views.Skepdick wrote: ↑Wed Apr 17, 2024 9:01 amNumbers by themselves are absolutely Mathematics.Veritas Aequitas wrote: ↑Wed Apr 17, 2024 8:59 am
I don't understand your point in relation to my claim;
Numbers by themselves are not mathematics per se.
1, 2, 3, 4.
Numbers paired WITH UNITS are not Mathematics.
1 APPLE
2 APPLES
No, numbers by themselves are not considered mathematics. Mathematics is the study of concepts like numbers, their properties, relationships, and structures.
Just seeing individual numbers is like having building blocks; mathematics is what you do with those blocks to build something.
Just seeing the digits 1, 2, 3, 4 doesn't involve any mathematical concepts.
Here's an analogy: Imagine having a bunch of Legos. The Legos themselves aren't what make something mathematical. But, if you start to follow instructions to build a complex structure, or if you use the Legos to explore ideas like symmetry or angles, then that's getting into the realm of mathematics.
Numbers are fundamental abstractions that represent quantities.
Mathematics explores how these numbers behave, how they relate to each other, and how they can be used to solve problems.
For instance, knowing the number 3 doesn't involve any mathematics. But understanding that 3 + 1 = 4 or that 3 is a prime number does involve mathematical concepts.
In the same way that philosophers can't agree what philosophy is - Mathematicians can't agree what Mathematics is.
Because "What is X?" is a metaphysical question. It has no good answers - pay attention and you'll develop some intuition.