owleye wrote:So the question devolves not to the mathematical objects themselves, but rather to the rules and procedures that are set up to finding them. Are these invented or discovered?
Whut wrote:the inner workings of math we dicovered, but there's no 1+1 without our existence.

Dave_Oblad » September 14th, 2017, 1:53 am wrote:Hi All,
That which is invented has freedom.. such as language, art, music, laws, morality.. etc.
Math has no such freedom.. it is composed of Rules, Rules that have been discovered over time.
We may discover many ways to approach a single math problem, but we can't make up our own rules.
Regards,
Dave :^)
Mitch wrote:The difference between Euclidean and nonEuclidean geometry demonstrates this.
Dave_Oblad » September 28th, 2017, 12:34 pm wrote:Sorry Mitch, but while we may have the freedom to invent the symbols that represent various math functions, we can't make up or invent those functions.. as they represent absolute truths.
Dave_Oblad » September 28th, 2017, 12:34 pm wrote:Mitch wrote:The difference between Euclidean and nonEuclidean geometry demonstrates this.
Are you kidding? That is absolutely worthless as a defense against invention. Both types of Geometry are based on very strict absolute rules that we most definitely had no choice in their invention.
You do understand that invention implies freedom of choice? Again, we may have such freedom in choosing the symbols that represent absolute truths but we can not invent the truths themselves.
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