In other words, is it generative, productive, etc.?
2006-12-24 09:28:16 · 6 answers · asked by Ejsenstejn 2 in Science & Mathematics ➔ Mathematics
No it is not generative , there are a lot of proofs that use ordinary english (or any other natural language) wich is not specified in Mathematics.
Mathematics is a science . what do you make think that is is a language ?
2006-12-25 00:31:52 · answer #1 · answered by gjmb1960 7 · 0⤊ 0⤋
YEs.
To help you appreciate the expressive power of the modern mathematical language, and as a tribute to those who achieved so much without it, I collected a few samples of (original but translated) formulation of theorems and their equivalents in modern math language.
If a straight line be cut at random, the square on the whole is equal to the squares on the segments and twice the rectangle contained by the segments. (Euclid, Elements, II.4, 300 B.C.) (a + b)2 = a2 + b2 + 2ab
If as many numbers as we please beginning from a unit be set out continuously in double proportion, until the sum of all becomes prime, and if the sum multiplied into the last make some number, the product will be perfect. (Euclid, Elements, IX.36, 300 B.C.) If 1 + 2 + ... + 2n is prime, then
2n(1 + 2 + ... + 2n) is perfect
The area of any circle is equal to a right-angled triangle in which one of the sides about the right angle is equal to the radius, and the other to the circumference, of the circle. (Archimedes, Measurement of a Circle, 225 B.C.) A = 2pr·r/2 = pr 2
The surface of any sphere is equal four times the greatest circle in it. (Archimedes, On the Sphere and the Cylinder, 220B.C.) S = 4pr 2
Rule to solve x3 + mx = n
Cube one-third the coefficient of x; add to it the square of one-half the constant of the equation; and take the square root of the whole. You will duplicate this, and to one of the two you add one-half the number you have already squared and from the other you subtract one-half the same... Then, subtracting the cube root of the first from the cube root of the second, the remainder which is left is the value of x (Gerolamo Cardano, Ars Magna, 1545). x =
2006-12-24 19:52:39 · answer #2 · answered by Anonymous · 0⤊ 0⤋
Yes, I agree math is a language. Now that everyone uses base 10. Some ancient civilizations used base 20. Think about how confused you would be if you saw base 2 math, 10+10=100 (2+2=4)
2006-12-24 19:43:29 · answer #3 · answered by Charlie-chan 1 · 0⤊ 0⤋
This it is a language and it is a langauge that everybody in the world can share
2006-12-24 19:33:01 · answer #4 · answered by littlehappy_21 2 · 0⤊ 0⤋
Yes. There is an excellent book on the subject "Number, the Language of Science" by Dr. Tobias Danzig. I'd be shocked if it is still in print.
2006-12-24 17:30:59 · answer #5 · answered by mu_do_in 3 · 0⤊ 0⤋
Yes, math is a kind of language. However you need to know the meaning of the used symbols. This language is no good for conversation.
Th
2006-12-24 18:03:43 · answer #6 · answered by Thermo 6 · 0⤊ 0⤋