Math is not science though. They're distinctly different. Science is a process of collecting data and testing it to build predictive models and deepen understanding of natural phenomena. Science is incapable of proof, but math is. Science approaches truth asymptotically, getting closer and closer, but never knowing if it has reached the truth. Math is capable of proving truths within the bounds of explicitly defined premises. The catch is that if the premises are wrong, your math, right as it is, will not reflect reality. In science, if your premises were wrong, your predictive models will fail and you will be able to refine them. Nothing intrinsic to math is capable of letting you know you've messed up your premises.
"One reason why mathematics enjoys special esteem, above all other sciences, is that its laws are absolutely certain and indisputable, while those of other sciences are to some extent debatable and in constant danger of being overthrown by newly discovered facts" - Albert Einstein
This isn't really true. First off, all science is an application of logic, which is in fact math. For example, all of science can be derived from the simple notion of falsifiability, which is a pretty simple statement in formal logic. Second, math can absolutely tell you if you are wrong as you will run into a paradox or contradiction. Most math has nothing to do with numbers, rather it's a system of formal logic about classes of objects. In that sense, it's actually equivalent to science as you must propose a hypothesis, and try to prove or disprove it using known data, or finding a contradiction. And, that is only branches that don't deal with stochastic data, which is a whole branch unto itself. Mathematics can absolutely describe things that aren't always true, and give you degrees of certainty based on what you know and observe.
Math is not science though. They're distinctly different. Science is a process of collecting data and testing it to build predictive models and deepen understanding of natural phenomena. Science is incapable of proof, but math is. Science approaches truth asymptotically, getting closer and closer, but never knowing if it has reached the truth. Math is capable of proving truths within the bounds of explicitly defined premises. The catch is that if the premises are wrong, your math, right as it is, will not reflect reality. In science, if your premises were wrong, your predictive models will fail and you will be able to refine them. Nothing intrinsic to math is capable of letting you know you've messed up your premises.
"One reason why mathematics enjoys special esteem, above all other sciences, is that its laws are absolutely certain and indisputable, while those of other sciences are to some extent debatable and in constant danger of being overthrown by newly discovered facts" - Albert Einstein
This isn't really true. First off, all science is an application of logic, which is in fact math. For example, all of science can be derived from the simple notion of falsifiability, which is a pretty simple statement in formal logic. Second, math can absolutely tell you if you are wrong as you will run into a paradox or contradiction. Most math has nothing to do with numbers, rather it's a system of formal logic about classes of objects. In that sense, it's actually equivalent to science as you must propose a hypothesis, and try to prove or disprove it using known data, or finding a contradiction. And, that is only branches that don't deal with stochastic data, which is a whole branch unto itself. Mathematics can absolutely describe things that aren't always true, and give you degrees of certainty based on what you know and observe.
Ah, I'm not bad at math, I just have a scientific approach to it ;)