Something that I have been thinking about lately is the origin of Mathematics. How did it first start?

The first cause that comes to my mind is that it might have been the result of early numerical clasification, and then we created a system based on those clasifications.

Another possibility is that it in some way models our way of thinking. In other words, it would be hard to have differing types of Mathematics from different people. You could have different clasifications but the reasoning or the underlying method would be the same.

Dates back to babylonians and egyptions with the Greek Pythagoras as one of the greatest characters in the history of mathematics.

And, as beforementioned, it was used in accounting - for example in “shopping” for the babylonians, and for the egyptians to calculate the days until the next flood of the Nile and in measuring land.

most people will naturally think ACCOUNTING is the origin of math, but i have different opinions
few people know that, in this world today, there’s still some tribe which do NOT have any concept of ‘NUMBER’, can you say that they don’t use math?
No.
Because they have the concept of ‘NEARLY EQUAL’
Notice that ‘Nearly Equal’ is different from ‘Approximately Equal’
That’s what i need to say.

What I was getting at in my post is how did everything that involves Mathematics begin? If a group was to be born outside known society would it develop its own type of Math? And, would that Math be similar to ours?

I don’t mean in the way of naming numbers. More of would the people be able to obtain the same results, like acquiring accurate distances, etc.

Mathematics is not a creation of man but a discovery by man. Mathematics is inherent in nature. It has always existed. It is only our understanding of it that has evolved

I don’t know how natural mathematics may be. No offense SS Bob, it’s just a little skepticism towards claims that things are inherent.

Antonio check out george Lakoff’s book on the origin of math. I haven’t read that exact book, but I have read some of his other stuf and Lakoff is always interesting

Is there really such a thing as a force, or force is just a created artefact that seemingly explains lots of things and is useful in the real world. Similarly a notion as time. That time dilation appears strange is because it is an ‘unnatural’ conception.

So is the notion of a number really a discovered thing or an artificial creation of man driven and derived inductively from the sum experiences of humankind? Perhaps all these ‘creations’ do indeed point to something real out there, but we may never know whether we have discovered it or not.

On the other hand we can also think that nothing is created. Everything that exists is a discovery. So we mankind did not create an aeroplane. That we have an aeroplane today is because the aeroplane already ‘pre-existed’ awaiting only to be discovered.

I think what SSB is trying to say is that mathematics is a concept as opposed to a subject, a concept is something we don’t invent, we don’t create, and we don’t learn it… but rather, we understand it, comprehend, or realize it. We are born with logic, (even though people joke about it) and mathematics is the most logical language for which we know what the essence of the words are, but not the words themselves.

Like, you look at a toaster and know the image, and by experience you can tell that it is used to toast bread, but you don’t know the name, even though you understand the concept of it.

The Universe is a collection of objects and forces both of which can be quantified and are therefore discreet. Whether one uses binary numbers, hexadecimal, or a base ten decimal system (or any other) to represent this ordinance is arbitrary. So ordinance is inherent in the Universe. These objects and forces interact or relate to each other in various proportions which is a function. So both functions and quantities are inherent in the Universe. For example,

Force of Gravity
F=Gm1m2/r^2

So the force of gravity is a relation or function of the mass of two objects and the distance separating them. The entire universe is made up of such relationships. So it can be said that the relationship of quantities to functions is inherent in the Universe.

Mathematics is nothing more then a representation of how quantities relate to functions. Therefore, mathematics is inherent in the Universe

gavtmcc wrote

As for calculus, well it is a bit of a cheat. It is a method to yield an approximate answer to problems that, for practical purposes, would be impossible to calculate any other way.

the ordinance is not inherent. You are confusing the sign with the signified, ie you are telling me that the tools used to describe the universe are the universe. T’ain’t so.

I never said that mathematics is the universe I said it is “inherent” which means “involved in the constitution or essential character of something : belonging by nature”. Perhaps there is a language problem here.
If on the other hand you are making an argument that presumes that the universe is illogical and it is only our explanation of it which is logical then that is a premise that I would strongly disagree with. The laws of the Universe preceded it.

I am saying that mathematics is simply a language that orders the universe in a certain way. It is not the universe. The order in the universe has no label.

If you define mathematics as merely the symbols that represent quantities and functions then that is a remedial definition of math. The word RED has no color. It represents color. The color red existed prior to the word red. Man created the word red, he discovered the color red. The word red has no meaning in and of itself. It is arbitrary. It has meaning only because we assign it meaning. The color red does have meaning. It is a real property of nature. It does not need manâ€™s understanding or definition to exist.
The relation between quantities and functions exists in nature. If you observe nature then you observe the relation of quantities and functions. The symbols one uses to represent quantities and functions are as arbitrary as the word used to symbolize red. The color red is inherent in nature. Mathematics is inherent in nature. The symbols one uses to represent either are arbitrary.