Mathematical Thinking and Scientific Work

Mathematical Thinking and scientific work
At this time I want to try to explain the relation of mathematical thinking and scientific work. Mathematical thinking is consistent thinking.
we have studied mathematics from elementary, junior high, high school. And as long as we studied it we knew that Mathematic as:
• Pattern or relationship
• Problem solving
• Investigation
• Communication
Mathematics formal characteristic shown that mathematics as axiomatic so we have axiomatic mathematics.
Mathematics as deductive consist of:
• Draft
• Definition
• Theorem
• Axiom
• Prove (procedure to prove theorem)
• Structure
• etc

People should start to establish formal mathematics as a system
 Should to an assumption
Usually assumption is concept or definition. It’s can use if we have strong base of it.

The object of mathematics is idea or our mind.
We can get mathematics object from the existence and probability of existence.
Mathematics object is in our mind

Two ways to get object from concrete object
• Idealization
Assume perfect.
Assumption to get absolutely for the object.
• abstraction
Just to learn certain characteristic.


Mathematics logic consists of daily and formal logic. Mathematics operations are arithmetic operation for example addition, subtraction, to the power, square root, the radix, and etc. In mathematics we know about the “if then statement”. “If then statement” is usually write in if a then b, and the ‘a’ and ‘b’ are some simple statements or prepositions in mathematics. The sentence in mathematics can be the close sentence and open sentence. We also use the truth table to understand what the relations of those statements are.


Mathematical logic is used to get conclusion from sentence
There are:
• Thesis: certainly correct
• Anti thesis: contradiction with the thesis
• Hipothesis: thesis while

Code mathematical thinking with scientific work
Scientific work has some characteristic:
• Impersonal (not related to personal)
• Has a standard or criteria
• Objective
Scientific work can be:
• Ethics
• Conclusion
• Recommendation
• Reference
Code of ethics of free articles plagiatism. Even if want to include the:
• Quotations
• Author
• Reference