- #1
Dremmer
- 92
- 0
What do you think? I'd say it isn't. Dictionaries say it is, but dictionaries aren't always right. They are often wrong.
I said nothing of the sort. That was specifically why I added the statement that I was using the words "realist" and "idealist" in their Philosophical meanings.Shyan said:MATHEMATICS IS NOT ABOUT REALITY!
Because I, unlike you, distinguish "mathematics" from "applications of mathematics". Yes, mathematics has uses in phyics. That doesn't mean it is the same as physics.That's closing your eyes to the world.You say physics is about reality. physics is expressed by mathematical notions.sometimes a physical notion is defined just because the mathematics of past theories have that notion in front.like potential.And you know the interesting part,most of such notions are understood to be practical or maybe real.
sometimes after many years from the bearing of a mathematical notion,it is shown that it has uses in phyisics like complex numbers and quantum mechanics.
How can you speak as such about mathematics??
And there are some mathematicians who consider "statistics" and "optimization" to be applications of mathematics, not mathematics.micromass said:There are however a few mathematical disciplines that do care about reality. Like statistics or optimization. But for the most mathematicians, reality is a uninteresting concept...
You mention the complex numbers. This is a good example. Mathematicians did not invent complex numbers because they are realistic, they invented them because they were beautiful. It were physicists which used them for realistic purposed like electricity. Mathematicians don't care about the realistic applications of complex numbers...
micromass said:You mention the complex numbers. This is a good example. Mathematicians did not invent complex numbers because they are realistic, they invented them because they were beautiful.
Jarle said:The complex numbers were invented because they were useful.
paulfr said:Mathematics is a Langauge ... the Langauge of the Natural World ... thus the Langauge of Science.
It is also more than that because Mathematics often preceeds discoveries and applications in the Real World.
So more generally, Mathematics is the Langauge of Abstract Thought.
JMHO
Why depressing? Obviously no one conclusion is going to be decided because there are many different ideas as to what "science" or, for that matter, "mathematics" are, but it is always worth while airing differences.mathwonk said:It is depressing to find questions like this on a math forum.
Philosopher_k said:Mathematics most certainly is not a science.
In science we observe and experiment the natural world. In mathematics we are studying something in which we have no idea wether we are totally right or wrong.
Philosopher_k said:Mathematics is built upon a set of axioms or assumptions.
Philosopher_k said:There is no true way to prove these axioms therefore mathematics will never be complete.
Philosopher_k said:But you argue, are we not unsure of science as well? No. For science as i have defined it is the observation and modelling of reality. If we observe it, correctly without error, consistently then it must be true.
Philosopher_k said:We cannot draw up a set of axioms about reality, we can only observe.
Tom Gilroy said:Here you have given the definition of natural science, however the word "science" itself has other meanings
micromass said:So, what other meanings do science have?
Tom Gilroy said:Certainly if computer science is a science, then mathematics must also qualify.
Indeed. I mean, who came up with "Political Science" anyways. That makes no sense. In my opinion, whoever thought that up needs a smack. Hard.CRGreathouse said:There's truth to the adage: "Anything that calls itself a science, isn't a science."
Yes, mathematics is considered a science. It is a systematic and logical study of quantity, structure, space, and change. It uses rigorous methods to analyze and solve problems, just like other sciences.
Mathematics is considered a science because it follows the scientific method, which involves observation, experimentation, and the formulation of theories and laws. It also uses mathematical models to explain and predict natural phenomena.
Yes, mathematics is a branch of science. It is often referred to as the "Queen of Sciences" because it is the foundation for many other scientific disciplines, such as physics, chemistry, and engineering.
Some people argue that mathematics is not a science because it does not involve empirical observations or experiments like other sciences. However, mathematics is still considered a science because it follows the scientific method and is essential in understanding and explaining the natural world.
Yes, mathematics can be considered both an art and a science. It is an art because it involves creativity and imagination in problem-solving, and it is a science because it follows a systematic and logical approach to understanding the world around us.