Lesson 1: The Nature Of Mathematics Flashcards
It comes from the greek word mathema which in the ancient greek language means that “which is learned” or “lesson” in modern greek
Mathematics
It is defined as the science of patterns and relationships
Mathematics
It generates a series of mental relations through which objects are grouped according to similarities and differences depending on specific criteria such as shape, color, size, etc.
Classification
This particular mathematical set will allow mathematicians to study the set further and finds it relationship with other objects
Structure
It means that each step can be derived logically from the preceding steps
Logical Sequence
It is how close a measured value is to the actual (true) value.
Accuracy
It is how close the measured values are to each other
Precision
The process of extracting the underlying essence of a mathematical concept by taking away any dependence on real-world objects
Abstractness
the language of mathematics is the system used by mathematicians to communicate mathematical ideas using symbols instead of words
Symbolism
Mathematics can be used in all fields of human endeavor.
Applicability
According to him “in any special doctrine of nature, there can be only as much proper science as there is mathematics there in.”
Kant
It is fundamental to mathematics. It Defines as the process of “finding and singling out in a whole class of similar objects.”
Generalizations
Identify the 8 characteristic of mathematics
Classification
Logical Sequence
Structure
Precision and accuracy
Abstractness
Symbolism
Applicability
Generalizations
What are the 6 nature of Mathematics
A science of measures
Intellectual game
The art of drawing conclusions
A tool subject
A system of logical procedure
An intuitive method
Proving theorems is not mechanical; proving theorems does require formal manipulation. Yet it also requires the use of intuition, the ability to see what is reasonable or not, and the ability to put all these together.
An intuitive method
