1. It will be much faster than someone who runs very fast but far away from the right path.

2. Therefore, the differences between people are not because some people are more rational than others, but because each of us directs our thoughts in different ways, or each person's thoughts are not directed at Same thing. Initially, it is not enough to have a good spirit, what matters is how to use it skillfully.

3. On the basis of the original principles. The so-called first principle is something that is absolutely unquestionable. After finding this absolutely unquestionable thing, you can make inferences based on this matter. Descartes wanted to use his method to find the clearest and clearest principles to serve as the starting point of understanding for his metaphysics, first and foremost, in order to study how to obtain actual understanding.

4. The greatest people often have the possibility of making the biggest problems and repairing the biggest morals. If those who can only walk slowly often take shortcuts, Descartes said: Method is absolutely necessary to explore the truth of things. Therefore, clarifying Descartes' methodology helps us further understand Descartes' methodology and its importance in the entire philosophy.

5. We can’t help but ask: What is this general science? This is what Descartes called Mathesis Unviesralis or ordinary mathematics. However, finding this universal science was not Descartes' ultimate goal. Descartes has been trying to explore where the true direction of things comes from to obtain this conclusive and true knowledge. This is the real Matt Schiess.

6. The organic combination of intuition and deduction is the unique feature of Descartes’ methodology. Its uniqueness is that it combines two philosophical method traditions, namely the rational tradition represented by logos and the life practice tradition represented by slaves, overcoming the theoretical shortcomings of a single rational logical deduction method, thereby finding the Understanding the sources and methods of theory provides a solid and reliable foundation for Descartes' search for true knowledge.

7. On the road, he first denied superstition and illusion, but he did not deny the truth, which affirmed the objective reality and subjective understanding. The two can be different, but they can be consistent. How to identify if it meets the requirements? The measure, Descartes argued, must be our own more advanced understanding—rationality—that’s okay. It’s not authority, hearsay, or recklessness or arbitrary thinking.

8. Science should be a whole. In this regard, Descartes said: If anyone is determined to seriously explore the truth of things, he cannot choose a special science: because things are interconnected and dependent on each other. For Descartes, although science is a body of natural sciences, there is only one true knowledge, and that is conclusive and true judgment. Therefore, in contrast to special sciences, science is ultimately only one science, which takes in interrelated special sciences.

9. Of all things in the world, only sound reason or conscience is the most equal for everyone. For every one thinks that he already possesses this natural endowment in full, and even those who are least able to be satisfied in anything else, do not usually expect anything more than reason or conscience which they possess. Require. Because unlike everyone who makes mistakes, it can prove that correct judgment and the ability to distinguish truth, that is, a sound conscience or reason are the same things that humans are born with.

10. However, because I have described several of the most important rules in a monograph, some concerns prevent me from publishing them. I don't know of a better way here than to describe what the book is about so that everyone can understand it. Before writing, I plan to collect here everything I know about the nature of matter. However, my approach is to follow the painter's look.

Painters often feel that on a flat surface they cannot show all aspects of the three dimensions evenly, so they choose only the main aspects so that the light falls on them

11. As for me, I have never thought about my spirit More complete than the average person, although I always wish there were others with such quick ideas, such fresh imaginations, or such rich and clear memories. I don't know of any other advantages besides cultivating these mental manifestations. For reason, or conscience, is the only thing which distinguishes us from animals, and I believe it is entirely present in every human being. In this I follow the common opinion of the philosophers, who hold that quantity exists only in accessories, and not in the form or essence of the same individual.

12. Descartes said: If there is no way to seek the truth, it is better not to explore the truth of anything at all, because there is no doubt that such confusing research and ambiguous meditation will only dim the natural light and make the Our hearts are blind; anyone who is accustomed to walking in darkness like this, their eyes will be greatly reduced until they see bright light and they can't stand it anymore. So where do we find this method of gaining solid and true knowledge? Descartes believed that only mathematical and geometric knowledge was the most conclusive and true knowledge.

13. Those long series of coherent reasoning are not simple and easy. Geometers are accustomed to using facts that are more difficult to prove than deduction, which reminds me that everything within the scope of human knowledge is also related and affects each other. As long as we do not take counterfeit things seriously and always maintain in our minds the necessary sequence of inferring one truth from another, there will be no sublime and unattainable knowledge or hidden and undiscoverable truths in the world. So, without much difficulty, I decided to start with something because I already knew that it should start with the simplest and easiest thing to understand.

14. But I would not infer from these circumstances that our world was created in the manner I have described, for when God created the world, it was primarily created later, This seems closer to the truth. Yet the acts currently employed in sustaining the universe are identical with those in which it was created, and this is also recognized by ordinary theologians. Thus, in the beginning, although it gave the universe no form but only chaos, yet because it established the laws of nature, it gave it general help and accustomed it to action. One can believe that it is only through this provision that everything purely material can evolve over time into what we now see, without detracting from the miracle of creation. When people see them grow gradually, they are more likely to get a clear idea of ??their nature than if they only see them fully grown.

15. In fact, by strictly observing the few rules I have chosen, I dare say that it is more than enough to solve all the problems within the scope of these two sciences (geometry and algebra). After two or three months of inspection, start with the simplest and most common questions and use existing truths to explore the rules of other truths. Not only did I gain insights into many problems that I had previously considered difficult, but I was also able to finally identify methods for solving unclear problems. There is only one truth in a thing, and whoever discovers it knows what he can know. From this point of view, you may not think that I am too vain. For example, after a child has learned arithmetic, if he calculates an addend according to the rules, he may be boldly confident that in this instance he has discovered everything that human ingenuity can discover. In short, that method of study which teaches men to observe the proper order of things, and to enumerate the detailed conditions of things, embraces all the means by which the laws of arithmetic may be made infallible.

16. The most satisfying thing about this method is that it allows me to use my wisdom in everything. Even if I cannot use it perfectly, at least, within the scope of my ability, it is the most effective. Perfect. Moreover, I think that by this method my mind may gradually derive a clearer and clearer conception of things; and as I am not limiting myself to any particular thing, I hope also to use it to solve difficulties in other sciences than Use it to solve algebra problems. This is not to say that I dare to verify all problems encountered, as this would violate the procedures prescribed by my method. Not only that, but all principles of knowledge outside mathematics should come from philosophy. In philosophy I have not found some exact principles.

I think, first of all, we should try to lay the foundation here, this is the most important thing, so carelessness and stereotypes are the most terrible, so I should not start doing this work when I am only 23 years old and not mature enough. , except that I should have enough time to accept the spirit, except that I should be fully prepared

17. Only mathematicians are scholars who scientifically explore the truth. Only mathematicians can find some real and self-evident evidence. . To be honest, I should not hesitate to start with their examined truths. Although I dare not expect any benefit from them, so long as they raise my spirit, feed on truth, and dissatisfy with false reasons; I do not, however, intend to study the various special problems in mathematics. Although I observed that their objects are different, if they only focus on various relationships and proportions between objects, they must be consistent. Therefore, I think it's best to just check these ratios. Also, to make it easier for me to understand them, I assume they exist in objects that help me understand them, but in any case, they are unrestricted to make it easier to apply them to all other appropriate things in the future. After that, because I found that understanding them sometimes requires observing them personally and sometimes just memorizing them or several at the same time. So I think they should have an easier time understanding each other's strengths than rectilinear studies, I think they should have an easier time understanding each other's strengths. On the other hand, I think it should be easier for them to understand their advantages over rectilinearity, or I think it should be easier for them to understand their advantages over rectilinearity. On the other hand, I think they should be easier to understand and have their advantages over rectilinearity.