How was the Mathematics without ZERO (0) being invented?

Answer 1

Excellent question! without zero math is useless and u need to count over and over with no result

Answer 2

The importance of 0 in mathematics is that it is the additive inverse in the group of numbers. There are many results that don't require 0. Geometry was a very large part of mathematics before 0 was "invented." Analysis and a strong theory of algebra were not possible since they depend deeply on 0 (or an additive inverse).

I believe that 0 would have naturally been discovered in the progression of theory of algebra, but with it's discovery beforehand, it probably helped algebra with a great boost.

Analysis (IMO) probably would not have been done without 0. I do not think that it is a field that 0 would be discovered along they way, since it is so strongly based (and founded) on limits going to zero.

Answer 3

The ancient Romans used their numerals for mathematics. The number 1234 would be MCCXXXVI. The Romans were all in a sticky spot writing down all of those letters. The Europeans would later in the twelfth century use the zero from India. The Mayan culture earlier developed mathematics with the use of Zero.

Answer 4

The concept of Zero was invented by the Hindus in India.

I think Mathematics originally arose from considering problems that revolved around the Natural Numbers. It probably never occured to anyone (except to some very bright Hindu) the usefulness and necessity of the concept of having a number (something) to represent nothing. (ie. 0)

Incidently the so called Arabic Numerals were also invented by the Hindus but were transported throughout the Islamic Empire by Arab Traders (part of India was conquered by the Arabs). Traders in Europe learned these Numerals from the Arabs and hence the name stuck.

Answer 5

Actually, there was mathematics before zero was invented. The "natural numbers" - counting numbers - were used until the concept of zero, first introduced about 700 BC. That's not really that long ago in human history!

The system of mathematics at that time was limited to "tangible" concepts, such as counting and computing numbers of discrete items. For commerce, at that time that was about all that was needed. You didn't need to know how many pieces of silver to pay for "zero" apples.

Answer 6

Well, the number 0 is a relatively recent addition to the mathematics. Using roman numerals, you can't write 0.

I think the ancient only used math to count stuff, so they only used ℕ* numbers, that is, Natural numbers (Positive integers) excluding zero. They thought was that "If there's nothing, why count it?"

Zero was later needed to do stuff like Engineering and Physics calculations.

Answer 7

Early math did not consider 0, not as a place holder or as a number. the origional concept of the 'void' was Chaos. not empty but unformed, a shapeless undefined 'fluid' that every thing else came out of. not empty as in null. the concept of zero was invented by east indian mathematics in the period 500-700ad and not introduced to the west until about 820ad by al-Khowarizmi.It seems Ptolomy had used the zero in some of his works but it was not used generally, the greeks contiuing to use named numbers and not digits.
How we learned to count before is a confusion to me, many different style based on body parts or object counting with named numbers, often in odd place orders.

Answer 8

Without ZERO, there is no mathematics.. probably you could ( if it were really possible) count 1 to 9, and you would not know what to do with your 10th finger, because 10 wouldn't exist without "0".
LOL.. maybe you could use that tenth finger to point out to the other 9 and count 1 to 9!

Answer 9

It's still the same, less of nothing.

(Get it? Zero is nothing-ness. So a math with zero is still a math.)

Answer 10

After all Archimedes and Euclid had no zero to work with, can we immagine how great was their effort?