Accuracy of Mathematical Sciences in the Theory of Science Falibilism

Falibilism is an understanding made aware of the ever-evolving reality in the universe that the science we have been studying is not always absolute. If natural events are the focus of science, it is arguably because they are real, so they are easily recognizable. But it can change.

Nature is never static, but rather ever-changing. Falibilism can also be interpreted as a philosophical principle that people can be wrong in the context of beliefs, expectations, or understanding of all things in the world. But they are justified in having the same thing. Falibilism is open to new evidence that refutes pre-existing and pre-believed positions and beliefs.

Factors supporting the presence of falibilism

Falibilism is a science that is critical. Science is used as a method to explain knowledge correctly. The existence of fascilibilism is caused by the scientific method which is uncertain and capricious.

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With this falibilism we must be optimistic and always look for a new truth. The science of falibilism also comes from several sources, including the consequences of scientific methods and objects of natural universum science.

There are also indications of falibilism methodology, including that the researcher does not feel certain about what he has achieved, scientific research activities only focus on verifying hypotheses and are always open, and induction methods in science are always incomplete.

Case in point (mathematics)

Whether mathematics can be classified as a science or as a different type of knowledge is still under consideration from several perspectives. According to latterell's research (2012), some elementary school students give at least five definitions of mathematics. The definition is as follows:

      

1. Addition, subtraction, and other arithmetic operations are mathematical of a number of numbers.

2. Addition, subtraction, multiplication, and division are all aspects of mathematics.

3. Learning about the basic operations of addition, subtraction, multiplication, and division is the focus of mathematics subjects.

4. In mathematics, addition, subtraction, multiplication, and division of numbers produce new numbers.

5. Mathematics is the study and calculation of numbers to arrive at the final value or product.

The subfield of mathematics is indicated by all given definitions. Given that the respondents were elementary school students, this seems reasonable. Mathematics is definitely more than just the study of numbers; it also includes philosophical thinking. The purpose of the ontology of mathematics, a subfield of the philosophy of mathematics, is to investigate the nature of mathematics and what already exists.

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After that, various responses can be obtained from examining the existing mathematical literature. From the perspective of history and the statement that mathematics is a tool of human origin, any question about mathematics can be answered.

Mathematics began as a simple way for people to calculate and measure things, but eventually evolved into a way for scientists to use their minds to solve difficult scientific problems (Liang Gie, 1999).

The philosophy of mathematics, like any other field of philosophy, has several schools. The first school is Platonism, which argues that mathematical knowledge is the product of divine inspiration and that mathematics is absolute truth. The existence of mathematical structures and real objects exemplifies the ideal, without human nature, reality. Objects in mathematics are real.

In the school of absolutism, mathematical truth is also considered absolute, with truths derived from definitions that cannot be verified by empirical evidence. After that, this flow leads to the formation of two streams: intuitionism and logic. The last school, fallibilism, views mathematics in a slightly different way than the other two (Prabowo, 2009), namely that truth can be criticized, corrected, and revised in many ways because it is imperfect.

Although this school itself is more focused on the school of epistemology than on metaphysics, it has an indirect impact on how mathematical ontology views the relationship between mathematics and reality. Mathematics was viewed by Liang Gie as a collection of abstract knowledge.

Our opinion of falibilism

Falibilism is the recognition of the philosophy of science that science never gives a final and absolute formulation of the entire universe. Fallacyism is a critical attitude of doubting scientific truth (science can always be wrong), but at the same time considering and recognizing scientific truth and stating that the scientific method is the best way to convey thoughts, it's the only reliable method.

Therefore, we must not assume that science must be inherently correct. Because the basic ideal of science is that all its discoveries meet on the truth.

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Then, modern mathematics examines these abstract concepts. Deductive science is also present in mathematics. According to Liang Gie (1993), in deductive knowledge, the most important aspect of mathematics is not the ultimate goal but rather the approach taken to come to that conclusion. . Given that the three major schools of mathematics all consider that mathematics is abstract knowledge, the pattern of mathematical philosophy The Liang Gie is not clear in these two thoughts.

Opinion advocates

One such "time-dependent" fallacy is open to ascertaining the expected or anticipated future possibilities.

Some fallacies argue that absolute certainty about knowledge is impossible. Some scholars argue that fascilibilism is widely attributed to Charles Sanders peirce, John Dewey, and pragmatists who use it in attacks on fundamentalism.

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