Rabu, 01 April 2009

The Nature of mathematics

 In the article at elegy Mathematics (by Mr. Dr. Marsigit) to discuss the Mathematics that has the nature of many, including a Single, Universal, Pasti and Objective. That each is associated pembahasannya as myth. 
Has disclosed that mathematics is a science talk or learn about communication, not a natural science. 

Also revealed that mathematics is the abstract, the evidence kongkritnya there are examples in mathematics. Knowledge of mathematics there has been full in every human mind, but to understand the business and understand it depends on the hone and develop their own individual person. 

Pythagoras said that mathematics is a coherent science. That each number-set the natural numbers can be. Each problem and always requires proof of a space or diskret. In mathematics generally famous Evidence Pythagoras and there is incommensurability. Mathematics is logic that has the first proposition-proposition silogisma and infinite regress. Rapodictic are based on postulat and axiom. 

Mathematics is also aksiomatik. Geometry is the main method by using the deduction and that is often used to postulat-5. Geometry space, field, etc. analytics field. Mathematics is the empirical, the issue of day-to-day but the role of logic can not be used 100% by this math. Means can also said that the role of science can not fully logic used in mathematics problems. 

Geometry is a first in mathematics because it is in every human mind that arises from skepticism and deductive. Science reasoning or logic is important to draw conclusions, for example, or to find out the truth in a sutu problems. For example, there are also often in calculus. 

Mathematics is a synthetic apriori that is in space and time. That a decision or answer is the highest status in mathematics. Mathematics is also an observation of a mistake or look for evidence in the sense of a justification of the observation. In each step of the settlement of mathematics, is required for the observation of a mistake that caused search for evidence pembenarannya it. 

A mathematical system that is consistent. Of rigor, have a single base and a strong mathematics usually referred to as the formal. As absolutisme, mathematics is not influenced by the concrete objects, freed from the truth values. But the language of empirical berlogika., In the sense that the language was created in the discussion of the mathematics of empirical reasoning, but that may have thought and have a decision that is the conclusion. 
Mathematics has the patterns and relationships. Patterns on matematilka have a relationship that related to each other. So mathematics is a means of communication that can not be communicated, such as day-to-language communication hari.bMatematika investigation is an activity that every step must have a foundation so that step by step to provide certainty and answers. 

Mathematics that are objective and subjective. Objective is a statement which is outside of mathematics, while that is a subjective statement which is in the discussion of the mathematics itself. If you want to learn mathematics are objective or subjective understanding will be needed a more in-depth understanding of the mathematics. 


Leaders who participate in the discussion above are: 
1. Thales 
2. Plato 
3. Pythagoras 
4. Aristoteles 
5. Euclides 
6. Bacon, Locke, Hume and BerBerkely 
7. René Descartes 
8. Immanuel Kant 
9. Leibniz, Frege and Russell 
10. Brouwer 
11. Lakatos 
12. Hilbert 
13. Wittgenstein 
14. Godel 
15. Ariestoteles, Piaget and Paul Ernest 
16. Ebutt and Strakker 
17. Paul Ernest 
18. Lobachevski

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