Mmw

• Pattern: general sense of the word, pattern are regular,or recurring forms or designs
• what is a sequence?

  A sequence is an ordered list of numbers,The arrangement of these terms is set by a definite rule.
• Fibonacci sequence: sequence are the numbers in integer sequence 0, 1, 1, 2, 3, 5, 8, 13, 21
• Numbers in the nature

  
• Golden Ratio:The development of the idea of the golden ratio is usually attributed to Pythagoras (580-497 BC) and his students.
• The golden ratio:The ratio is came from to a line segment divided according to the golden ratio where the larger part is to the smaller part as the whole part is to the larger part, thus;
• Language:The most important tiing among people because it has an important role in communication
• Precise: able to make very fine distinction Concise: able to say things briefly Powerful: able to express complex thoughts with relative cases
• Vocabulary vs. Sentences: Every language has its vocabulary (the words), and its rules for combining these words into complete thoughts (the sentences).
• Importance of Mathematical Language: Major contributor to overall comprehension
• Expressions versus Sentences: Ideas regarding sentences are explored. Just as English sentences have verbs, so do mathematical sentences.
• Connectives: the symbol + is what we called a connective which is used to connect objects of a given type to get a 'compound' object of the same type. 
• Mathematical Sentence: Mathematical sentence is the analogue of an English sentence; it is a correct arrangement of mathematical symbols that states a complete thought. 
• Truth of Sentences: Sentences can be true or false. The notion of "truth" (i.e., the property of being true or false) is a fundamental importance in the mathematical language;
• Conventions in Languages: language have conventions
• The language of sets: Use of the word "set" as a formal mathematical term was introduced in 1879 by Georg Cantor. For most mathematical purposes we can think of a set intuitively, as Cantor did, simply as a collection of elements.
• Logic: In your social science courses, logic could be defined as the study of the principles of correct reasoning and it is not a psychology of reasoning.
• Formality: As stated by Heylighen F. and Dewaele J-M in the "Formality of Language: Definition and Measurement", an expression is completely formal when it is context-independent and precise
• Definition: One of the major parts of formality in mathematics is the definition itself. When we say definition, it is a formal statement of the meaning of a word or group of words and it could stand alone.
• Theorem: statement that could be considered as a formal statement is the theorem.
• Proof: To be able to say that a theorem is true, it should undergo the process of proving. But what do we mean by proof or a mathematical proof.
• Proposition: When we say proposition, it is a declarative statement that is true or false but not both. Negation; ~

  1. Conjunction; ^
  2. Disjunction; V
  3. Conditional; → "If-then statement"
  4. Biconditional; → "If and only if statement"
• Corollary: it is also a proposition that follows with little or no proof required from one already proven.
• Lemma: lemma and it can also be considered as a theorem.
• Conjecture: A proposition which is consistent with known data, but has neither been verified nor shown to be false.