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Hey. I have translated an article which is related to this topic. Sorry for my english cos I know i made mistakes.
Turkish Language's Mathematical Structure
Victor Hugo wrote his poems by using 40.000 words . Although Yaşar Kemal is one of the best writer, he use max 3.500 words in his novels. Its a common wisdom and its true. Because Turkish have less words than French. It has less words than English, German and Spanish too. But by using those datas, we cant say that Turkish is an incapable language. Because Turkish can explain more things with less words. If it includes more word, it wont be problem but its needless.
When you open your dictionary and write similar words which have little difference, you will see the same Turkish word. And you can think that this is the deficiency of Turkish but this is not. Because the languages that we talked about above are based on learning stationary meanings of words, and Turkish is based on dynamic interpretation. You should understand the right meaning of the word.
In Turkish, definitions that are written in a dictionary doesnt designate the meaning of a word. This word’s location in a sentence designates it. At this juncture, we can put forward that Turkish has infinite words. And the words in Turkish dictionaries are just for to reference.
When you look an English-Turkish dictionary for the meanings of sick , ill and patient you will always get hasta as the meanings of those words. In this sense we can say that English has 3 times more word than Turkish. But we cant say that in Turkish we dont emphasize the differences of those words. When you say böbrek hastası olmak (being kidney ill), internet hastası olmak (having internet passion) or filanca şarkının hastası olmak (being crazy about a song), the one who speaks Turkish would understand the difference of those words at once. Its not that hard to understand this situation. Get a pen and write this;
3 + 5 =.
12 + 5 =.
38 + 5 =.
We wrote +5 to all and we obtained different results. Just like in all words above we use hastası olmak but we explained different things. Turkish can explain more things by using less words because it based on Math. In all 15 symbol {0,1,2,3,4,5,6,7,8,9,+,-, /,*, (,)} we can do limitless arithmetical operations. Turkish has similar characteristics too. We can say that Turkish based on Math but beyond that Turkish is disguising form of Math.
If you know how to make plural in Turkish, that means you know how to make plural of the words that will be created 5 years later or the words that were used 300 years ago. Its just the same way with that; when you learn how to solve an equation that has 2 unknown subject like that {2X + Y = 15 if Y = 1 X=? }, you can solve all of that kinds equations. X and Y’s value is not important.
However, for example in English the verbs past form depends on the verb. (Go > Went / Do > Did) And when you try to make plural it also depends on the word. ( Foot > Feet / Boot > Boots not Beet ) There is no consistent logic. If you want to use those words and verbs, you just have to memorize words plural forms and verbs past forms.
But in Turkish you dont need to memorize stationary words, instead of it, its enough to learn dynamical rules. In Turkish there are nearly no exceptions. The exceptions are just minor examples. (For example according to vowel harmony, elma (apple) should be alma .) In Turkish, rules are strong and definite.
After that point i will give mathematical formules to concretize the relation between Math and Turkish language. And its best way is using binary code system. So it will be enough to use 0 and 1. [ 0 = Nonexistent ] [ 1 = Existent ]
Radical Word. (Ev)
Plural Addition. (-ler)
Mathematical Expression.
Ev 1.0. (Home)
Ev ler 1.1. (Homes)
Ler 0.1. (Plural Addition)
We can assume that every Turkish word is 2 bit. All singular words are 1.0 (have radical word, no plural addition) and all plural words are 1.1(have radical word and plural addition). This rule never changes. And in addition to this you cant make plural of a nonexisting word in any language but Turkish. If you say a man sadeceâ€ler†{sadece : only -ler: plural form} he will reply like that ; anladık ler de neler ? (I understand ler but what?) Here its obvious that you say somethings plural form but the object is not clear.
Radical Adjective ( Kırmızı )
To Emphasize ( Kıpkırmızı )
To Weaken ( Kırmızımsı )
Mathematical Expression.
Kırmızı 0.1.0. (Red)
Kıpkırmızı 1.1.0. (Crimson)
Kırmızımsı 0.1.1. (Reddish)
Kıpkırmızımsı 1.1.1. ( There is no adjective like that )
This rule which is used for to strengthen and weaken the meaning of adjectives never changes too. If you want you can even create weird adjectives which are not exist in any dictionary. “Güneş doğmazdan evvel ufuk kıpkırmızımsı (Kıp + kırmızı + msı [1.1.1]) bir renk aldı.†{Before sunrise, horizon became dark reddish (kıpkırmızımsı )} When you say that sentence to a Turk, he would understand what you want to say. Because this adjective goes well with that rule which is known by all people who speaks Turkish.
Conjugation rules are not different too. Here we will use 3 bits for people and 2 bits for tenses. Multiple bit groups will couch those;
011 = ben. (I)
010 = sen. (You)
000 = o. (He/She/It)
111 = biz. (We)
110 = siz. (You)
100 = onlar. (They)
-.
00 = geniş zaman. ( Present Tense)
11 = şimdiki zaman. ( Present Continuous Tense)
10 = gelecek zaman. ( Future Tense)
01 = geçmiş zaman. ( Past Tense)
--------
Oku (Y) abil di m. ( I could read)
1.1.0.01.0.0.011.
Oku (Y) a maz mış sın. ( You could not read)
1.1.1.00.0.1.010.
Gel me (Y) ecek ti. ( He would not come)
1.0.1.10.1.0.000.
Git me dik. ( We didnt go)
1.0.1.01.0.0.111.
Şaşır abil ecek ti niz. ( You would be surprised)
1.1.0.10.1.0.110.
Bil (İ ) Yor lar. (They know)
1.0.0.11.0.0.100.
Putting in order of units (subject , object, verb) that generate sentence is not random too. Turkish sentences follows a kind of crescendo. All emphesis is upon the verb that takes the last part of the sentence. Other units importance are depend on their closeness of verb. When you put the unit near the verb its importance in the sentence will be increase.
If you change units location in a sentence, this sentence’s meaning will change too. For example;
1 - dün Ahmet camı kırdı. { dün(0001) Ahmet (0011) camı (0111) kırdı (1111) }
2 - dün camı Ahmet kırdı. { dün(0001) camı (0011) Ahmet (0111) kırdı (1111) }
3 - Ahmet dün camı kırdı. { Ahmet (0001) dün (0011) camı (0111) kırdı (1111) }
4 - Ahmet camı dün kırdı. { Ahmet (0001) camı (0011) dün (0111) kırdı(1111) }
5 - camı dün Ahmet kırdı. { camı (0001) dün (0011) Ahmet (0111) kırdı (1111) }
6 - camı Ahmet dün kırdı. { camı (0001) Ahmet (0011) dün (0111) kırdı (1111) }
Now we will discuss on those sentences above. Here all units is same ( camı will be camı in all sentences as all other units, verb always be 3. singular person and it always be past tense) but sentences meaning is changed by changing those units location.
1.Sentence : dün Ahmet camı kırdı. >>> Yesterday Ahmet made a thing. This thing was breaking the window.
2. Sentence : dün camı Ahmet kırdı. >>> He was Ahmet who broke the window yesterday. Guilty person is Ahmet.
3. Sentence : Ahmet dün camı kırdı. >>> Ahmet’s yesterdays work was breaking the window. Maybe the day before yesterday he read book.
4. Sentence : Ahmet camı dün kırdı. >>> Ahmet broke the window and it was yesterday when he broke.
5. Sentence : camı dün Ahmet kırdı. >>> The window was safe till yesterday and the one who broke it is Ahmet.
6. Sentence : camı Ahmet dün kırdı. >>> Ahmet would break the window in any case and he did it yesterday.
In every sentences, 1111 is the most important one than 0111 , 0011, 0001 comes. {1111 is verb kırdı. } Here, determinative thing of the meaning are the values of that every unit. A person who knows Turkish will understand the difference of those sentences at once.
If you want to say those examples above by using the languages whichs words have stationary meaning, you can just make 2 variation with changing time adverb (dün), except that if you want to give other meanings too you should change the mood (passive mood) or you should add some explanatory words.
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