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1) Math is a Topic under Science. Do you agree or not? If you agree/don't agree give explanation to your answer.
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1) Math is a Topic under Science. Do you agree or not? If you agree/don't agree give explanation to your answer.
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Math is most definitely _not_ a science. In science, (we assume that) there is a set of rules (the fundamental laws of nature) in operation, and the task is to figure out what the rules are by observing the results that occur when the rules are followed. Basically, it's an attempt to reverse-engineer the machinery of the universe. In math, it's the other way around - we get to choose the rules, and the task is to discover the results of choosing any particular set of rules. There is a superficial similarity, which leads some people to confuse the two pursuits. In science, the way you test a theory is to codify it as a set of rules, and then explore the consequences of those rules - in effect, to predict what would happen if those rules were true. You do the same thing in math - and in fact, the way it's done in math serves as a model for the way it's done in science. But here is the big difference: In science, as soon as your predictions conflict with experimental data, you're done. You know that your rules are wrong, and you need to start putting together a new set. In math, this kind of conflict can't arise, because there is no necessary connection between any mathematical theory and the world. The way you 'test' a set of rules in math is see whether the results they produce are interesting enough to induce mathematicians to keep playing with them. We might summarize the situation this way: Science is the pursuit of _the_ correct description of _this_ particular world; whereas math is the pursuit of interesting descriptions of possible worlds. Whereas scientific theories are right or wrong, mathematical 'theories' are merely interesting or uninteresting.
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