The distinctions between discovery ad invention is often clear in the sciences. In physics for instance, it is well understood that experimental observations, measurements and laws are "discovered" and the theories that help model the phenomena at hand are "invented". But what it was one to say about math? The field of mathematics is not inherently empirical in nature - are mathematical breakthroughs discovered or invented? The Implications of Each Side Before we delve into both sides of the argument, we should probably clear something out: the consensus seems to be that when one refers to the phrase "discovered", they are implying that the universe is, at a fundamental level, mathematical in nature…which sounds like nonsense, right? Well, it's really a well defined idea; the implication is that mathematical structures and logic is an aspect of the universe and NOT just a human construction. In other words, math wold exist even if humans wer...
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