If by "math" you mean the techniques that humans have developed to solve certain types of problems (mathematical ones), then it is invented. Did we create mathematical concepts to help us understand the universe around us, or is math the native language of the universe itself, existing whether we find its truths or not? It would say a lot more about what kinds of logical reasoning Homo Sapiens finds useful or pretty.
Sorry, but copying text is forbidden on this website. In short, math is kind of like science.
So, which is it? For example, in 2005 a colleague of mine and I discovered a new shape. Consider the historical development of math, from primitive counting (preceded by the use of bags of pebbles to represent herds of animals, with one pebble for each animal), followed by adding quantities together, or subtracting them, or multiplying or dividing; and the development of algebra, statistical analysis, geometry, trigonometry, calculus, and beyond. You may have the sense that there is some huge body of mathematical knowledge that is just sitting out there and partially discovered, waiting patiently for people to come along and discover it, just like how human discover oil underground. So isn't using reason to define it impossible? "Two", "three" and "four" take their place in the number line as "||", "|||" & "||||" differing - ultimately getting their identity from their relationship to the group with one of its members taken as a unit. So, what about a more complicated differential equation?
The flip side of the coin are the realists who believe that math contains universal truths which humans discover over time. So in this sense, mathematics might be called “things that are true” or “things that are provable. ” Tracing back to the counting tangible objects part, indeed, there are not any rocks on the ground without someone’s having ‘invented’ mathematics to tell me that.
Does hearing or reading about something qualify as experiencing it?
They then go on to discover the connections among those concepts.”, The iFod somehow made me feel smarter and glad I majored in math . Indeed, most human inventions involve and depend heavily upon a process of discovery.
All the content of this paper is just her opinion on Math Is Discovered Essay and should not be seen as the way of presenting the arguments. Brandolini’s Law: the Bullshit Asymmetry Principle. Sorry, but downloading is forbidden on this website. Did we discover or invent it? dig deep enough and there’ll be some logical reason why the new trick is wrong.
The idea that math is discovered, not invented, is borne out by the fact that mathematics is full of strange coincidences. The rest of the argument gets a bit technical, but it starts like this : do you believe the function cos(x) exists?
Good question. And if they did, why should we expect anyone to be able to make a logical connection? In sooner future where technology is more advanced, computers can basically do everything for us. edited
Does a cube exist as something more than just a figment of our imagination?
The same thing applies on this philosophical question ‘is mathematics discovered or invented? In contrast to both, there is Objectivism, which explains that concepts/universals/essences are objective in that they are the man-made (i.e., product of a volitional process) form in which we grasp things/attributes/relationships in the world, be they man-made or metaphysically-given.
Consequently, I cannot make the discovery about the number of rocks, but what I know and what is are distinct for me. Retrieved from https://paperap.com/paper-on-is-mathematics-discovered-or-invented/, Is Your Deadline Too Short?
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